Pondering with Others

 ONN #3 2026.10.1 

 

Pondering with Others

 

Joy comes in different packages for each of us. For me, nothing brings more joy and fulfillment than what I experienced yesterday. 

 

Living in Holland surrounded by Hope College, and teaching at Calvin University, I have opportunity to meet and interact with students from both institutions. And one way or another, I meet and get to know some who are passionate about changing the world. 

 

So yesterday, three Hope students and three from Calvin gathered at my home for Sunday lunch and conversation. Topic of conversation: Liberation theology. What spurred it? Calvin University has a newly formed student-faculty group (over 180 strong) with typically 30-40 meeting weekly which discusses ideas of historical revolutionaries from Jesus to Karl Marx. And following the example of their models, their reading and discussion is balanced by outreach in the Grand Rapids community serving those in need. Two of my guests, both from Costa Rica, initiated the group, and have dedicated themselves to it – to the extent that one gave up his starring role on Calvin’s swim team to focus on this instead. Impressive. 

 

And the Hope students brought equally impressive credentials and perspective, including two who are fervent Roman Catholics enjoying the vibrant Catholic community that Hope College offers. One of them, with a quad-major of mathematics, chemistry, Chinese, and philosophy shows the breath of interest of all of these students. 

 

Our four-hour discussion focused on: How can we actually change the world for the better? What should be the balance of reading (providing historical context and motivation) and actual activity? Margaret Mead famously said, “Never doubt that a small group of thoughtful, committed citizens can change the world. Indeed, it’s the only thing that ever has.” Indeed, it was the committed Freedom Riders taking buses through southern states risking death and imprisonment who inspired the Reverend Martin Luther King, Jr, who convinced Attorney General Bobby Kennedy, who in turn spurred his brother to put civil and human rights high on the packed agenda of his administration. This, of course, led to Lyndon Johnson’s landmark legislation. 

 

All of which shows that, yes, change is perhaps initiated from the bottom up, but in order to become permanent and widespread, requires top-down action as well. 

 

Good stuff! See why I claim that yesterday was a day worth living?

 

But almost as enjoyable as such a conversation is the opportunity to share such inspiring experiences with fellow community members. And that I have been doing for almost a dozen years. About that time, I asked Sarah Leach if she’d be interested in me writing a column, “Something to Ponder . . . “.   In my first column I observed,

“Are conversations about ideas, opinions and beliefs worth the trouble?  What’s the value in reflecting on our own beliefs and learning about others?  Is it a sign of hubris to attempt to change another’s opinion?  Do beliefs even matter all that much?  Isn’t what a person does more important than what s/he believes? The English author and theologian G.K. Chesterton, who was a significant influence on C.S. Lewis, had strong opinions here. He wrote, “There are some people, and I am one of them – who think that the most practical and important thing about a man is his view of the universe.” 

 

 How interesting. If beliefs matter that much, then what should be our reaction when our beliefs are challenged? One extreme is given by the judge, who hearing the prosecutor make his case, agreed, “You’re right!” Then when the defense submitted her argument, responded again, “You’re right!” When the bailiff explained that they couldn’t both be correct, the judge exclaimed, “You’re right too!”  

 

But certainly, the other extreme has its dangers also.  I hope that I have a richer understanding of the world now than I did as a teenager. Should I then resolutely hold to the beliefs that I had then? 

 

Aristotle may have found the golden middle ground with the attributed claim, “The mark of an educated mind is the ability to entertain an idea without accepting it.” Intriguing!  Approach a new idea with the willingness to consider it honestly, and be open to modifying one’s views.  Seems like a good quality for one to have. Is this what Aristotle meant by an educated mind?”

 

And so, fellow community members and Ottawa News Network readers, I look forward to sharing monthly ponderings with you for thoughtful reflection and response. Here’s to the future . . . 

The Beauty of the Broken Pattern

 HS #134 2026.9.10

 

The Beauty of the Broken Pattern

 

Did you meet Erling Haaland this past summer? He’s the exceptional Norwegian soccer player bursting with personality who was delightful to watch.  YouTube continues sending me videos of his antics on and off the field – crazy kicks and head butts, blushing when kissed by other players, tenderly interacting with young children. The guy is loved and admired by everyone. More on that later. 

 

 A quiz for you: The following is the first six lines from Shakespeare’s Sonnet 12: 

When I do count the clock that tells the time  

And see the brave day sunk in hideous night  

When I behold the violet past prime  

And sable curls all silvered o’re with white  

When lofty trees I see ________ of leaves  

Which erst from heat did canopy the herd  . . .

 

Fill in the blank with the word that Shakespeare used: barren or bereft? 

 

If you chose “bereft” you correctly noticed the iambic pentameter in which every second syllable of a ten-syllable line gets accented. And you would be wrong! Shakespeare set up a pattern, an expectation, and then intentionally broke it – such is the beauty of surprise. 

 

I have a new favorite comedian found on YouTube: Anthony Jeselnik.  Some of his content is off limits, but he has mastered the art of breaking from the expectation. One example: I recently visited my mother for a week. All she wanted from me was to run errands for her. Every day she asked me to go buy her the daily lottery ticket because if she doesn’t play, she can’t win.  Finally, I told her, “Mom, don’t you realize that you have a better chance of being struck by lightning – than of me doing you a favor.” 

 

I find that hilarious. Of course we expected him to say, “ – than of you winning the lottery.” His unexpected closing caught us off guard, yet it fit perfectly with the story. 

 

I just now returned from the home of Martha, an 88-year-old Yooper friend who lives alone on 33 acres a couple miles from my U.P. cabin where she still mows her own lawn and climbs on her roof to shovel the snow.  I met her 25 years ago while walking the Au Train Lake Superior beach, and visit her every year for pancakes and conversation. A musician, today she played the Bach she is presently mastering. She showed me the chords Bach used – unexpected, yet when heard, they fit perfectly. One has the same reaction as to Jeselnik’s humor, “Of course, why didn’t I see that coming!” 

 

She explained that Bach and Handel were born less than a month apart and that Handel’s music is the best that earth can produce, but Bach’s is from heaven.  I had to agree. 

Bach, Michelangelo, Shakespeare – perhaps Jeselnik. They create(d) things of rare beauty, and that beauty of often obtained via the unexpected. (Did you expect to see horns on Michelangelo’s Moses?) 

Then Martha showed me her garden, tiny compared to the huge expanse when I first met her, filled with plants with claimed medicinal/spiritual powers. Telling me about her neighbors and friends, she mentioned one who was rather odd, and then editorialized, “People who live alone grow strange.” 

 

I laughed inwardly. Indeed, Martha was describing others, but perhaps realized she was describing herself as well. Serving three years in the Philippines for the Peace Corp under Kennedy, even now she laments that she isn’t doing enough to better the world. Intrigued by all things mystical, she loaned me a book which foretells each person’s death based on hidden mathematics from the Bible. I pointed out that the 1997-published book predicted nuclear wars in 2000 and 2006. She then lost interest. 

 

Although some MAGA neighbors and relatives find her contrary and outspoken, I marveled when she tenderly picked up a bug from the kitchen table and carried it outside “to his home.”  She gently brushes mosquitoes off her body rather than swatting them because, “They want to live too.” 

 

Just as gently, perhaps, as the way Erling Haaland treats young fans. Haaland is another – younger and better known - example of someone who entertains and inspires us by being his authentic self – fun, crazy, and always doing the unexpected – to the consternation of the goalies. 

 

Both of them (AND recently departed Dolly Parton!) show that just as in poetry, music and comedy, humans who break the usual patterns add beauty and interest to our world. 

What's up with today's youth?

 HS #133 2026.8.13

 

What’s up with today’s youth? 

 

Just now back from the Holland Charter Township Community Center where I play pickleball regularly. Thirsty, I headed for the water fountains – one at adult height and one lower for children. Just ahead of me a 6’ 3” teen got there first. With no fanfare, he chose the lower fountain.  Bending down to drink, he allowed me the more comfortable one. I thanked him for his generosity and told him that he had respected his elders. He smiled and wished me a good day. 

 

I wouldn’t have thought to do that so naturally and easily as a teenager. 

 

A bit later I was playing doubles with a 17-year-old partner. Several times when I made a bad shot, I called out “My fault” to which he reflexively responded, “All good.” I’m not that well behaved toward my partners at age 68. 

 

What’s up with all this good behavior? 

 

A few weeks ago, I was riding my bike back to my house on East 12^th Street. Rounding the corner from Fairbanks, I passed what I call the “Hope Football House.”  Greeted by the smell of grilled hamburgers, I mentioned to one of the guys in the yard that they smelled great. He instantly offered me one, and brought me a plate with a huge burger covered with cheese – along with a bag of chips. Never had met them before. 

 

What’s up? 

 

Now, let’s be careful. First of all, I am offering no sociological evidence. As someone has said, the plural of anecdote is not data. I leave such research to others. I am merely asking you, the reader, to reflect on your own experiences with today’s young people and concur (or disagree) with me. 

 

Secondly, I am not trying to paint an overly rosy picture of today’s youth. Each generation has its own challenges and struggles. Certainly, a well-documented struggle of current young people is the depression that comes from comparing themselves not only with others who are physically present, but with countless friends who use social media to display their good times and activities. 

 

But I AM saying that many of today’s youth are impressively polite and well mannered. 

 

Twenty years ago in the early days of email, a typical message from a student might have been, “Hi.  I won’t be in class tomorrow. Let me know if you cover anything important.”  The standard email these days is, “Dear Professor Pennings – I hope you’re having a good weekend. I’m sorry that I will miss class Monday for a doctor’s appointment. I will get the notes from a friend and will ask if I have questions. Thanks much and have a good evening.” 

 

I started getting these emails four years ago when I began teaching at Calvin University and wondered who was coaching the students. An introductory class? AI? High school training? But talking to colleagues at other colleges, apparently these polite and well-written emails are common today. 

 

What’s up?

 

For this one, I have a possible answer. When email came on the scene at the end of the last century, it provided a quick informal alternative to physical letters and memos for those of us who grew up with paper. But for the present generation, texting is now the quick, informal means of communication, leaving email as the formal mode. Seem reasonable? 

 

But I suspect something deeper is also at play. 

 

As a Baby Boomer, I grew up in a home where I was expected to obey and respect my parents. “Spare the rod, spoil the child” was preached on Sundays, and corporal punishment was allowed at school. The “Generation Gap” of the 60’s and early 70’s followed.  But then something happened in our culture.  “Leave it to Beaver” and “Father Knows Best” gave way to “Family Ties” and “Silver Spoons” and “The Cosby Show” where parents were understanding pals rather than adult authorities. Time out sessions replaced spankings. These X-Generation and Millennial children with kinder-gentler parents have now had their own children and have passed on the spirit. 

 

When college years came, I was eager to leave home to put distance between me and the parents. But today’s young people, it seems, often count their parents among their best friends and closest associates. Many stay in close contact via their phones. 

 

And perhaps, just perhaps, these friendly relationships with parents have produced teenagers who are friendly with and act kindly towards all of us older folk. I’d like to think so. 

 

America 250: The Power of Words

 HS #132 2026.7.10  (reprinting of HS #36   2018.7.3) 

 

America 250: The Power of Words

 

 “You’ll be the same person in five years as you are today except for the books you’ve read, the people you’ve met, and the places you’ve visited.”  Lots of truth to that adage. After taking a long-awaited trip to Scotland, a wonderful country, I returned with a new appreciation of this one.  For one significant reason:  The U.S.A was built on the power of words. 

 

The idea struck me while taking a tour of Edinburgh Castle, culminating in viewing the Crown Jewels of Scotland.  They are magnificent – a crown, a scepter, a sword, and The Stone of Destiny.  These items have been used throughout the centuries to symbolize the power and authority of the Scottish rulers.  The Stone – a 300 pound chunk of sandstone – was the object upon which the early kings of Scotland were bestowed as rulers, and it has been used ever since in the coronations of England and Scotland.  Residing for 700 years in Westminster Abbey, England returned the Stone to Scotland in 1996, but still calls it back to be set under the thrown when each new monarch is crowned. 

 

Seeing these revered objects – all protected under thick glass, I was reminded of the novel, “The Lord of the Flies.”  A group of young boys is marooned on an island.  Starting out well, rivalries and conflict develop, and a conch shell is chosen as the symbol of power. Whoever has it, has the authority to speak. 

 

Rather silly, but that has been the method of bestowing and displaying power throughout the centuries. Consider the exalted pulpits used in cathedrals, the robe and cap of the pope, the stars on the uniforms of generals, signet rings of ancient Rome and Egypt, the Chinese five-clawed dragon robes, and the crown jewels and coat of arms of European rulers. 

 

How radically brilliant it was then for our Founding Fathers to reject all such physical symbols. Instead of crown jewels protected under thick glass, we have the original copies of the Constitution and the Declaration of Independence - words on a piece of paper - protected by bullet-proof glass and ready to descend into a deep vault at any threat of danger. 

 

Instead of receiving a scepter and crown, the President-elect says words - simple words of the oath of office. Repeating those 35 words is necessary and sufficient to become the next President of the United States. 

 

Indeed, our faith in those words is so powerful that in 2009 when Supreme Court Chief Justice John Roberts and President-elect Obama slightly muffed up the oath of office, they repeated it the next day – correctly.  Google “Swearing In Ceremony of Gerald Ford” for a West Michiganer’s thoughts on the Oath. Note how the Chief Justice addresses Ford before and after he takes the oath.   

 

 

How interesting this all is! Our Founding Fathers are rightfully credited with establishing a new form of government – a republic where the power is held by the people rather than by a royal family or ruling class. The method of delegating that power – via the election of a president and representatives with oversight by appointed justices - is also recognized as an historical innovation.  But along with these, less noted but no less revolutionary, the Founding Fathers also realized that the symbols of authority should not be objects, but words.  They believed in the power of words. 

 

It is appropriate then that our two greatest presidents were instrumental in cementing that new faith. After eight years in office, President Washington willingly gave up his authority when John Adams became the second person to say the oath of office.  This allowed for the peaceful transfer of power, prompting King George III to say of Washington, “If he does that, he shall be the greatest man in the world.” 

 

And 63 years later, President Lincoln reflecting back on the previous century and looking forward with hope, exclaimed that a nation so founded would long endure. At just one point in that speech Lincoln erred. He said  “The world will little note nor long remember what we say here . . . “ In that statement he was mistaken, since the Gettysburg Address, which I memorized as a fifth-grader and can still recite, follows only the Sermon on the Mount on the TIME list of Speeches that Changed the World. Maybe even Lincoln underestimated how much we in the U.S.A. value the power of words. It’s a heritage in which we can all take pride. 

George Washington's Spies

 HS #131 2026.6.11

 

George Washington’s Spies

 

“Washington didn’t outfight the British; he simply out-spied us” – a British Revolutionary War officer.

 

Did you know that? “Washington’s Secret Six” by Brian Kilmeade and Don Yaeger is a fascinating account showing how the Revolutionary War was indeed won because of a handful of closeted patriots in New York City who spied for Washington.  (Audiobook available from Herrick District Library.) Also: https://www.youtube.com/watch?v=W4yLzC85w3Y    https://www.youtube.com/watch?v=yNRLd85eKW8  https://www.youtube.com/watch?v=VF8fg58tW68

 

 

These spies were so secretive that even Washington knew some only by their code names. He kept his promise to keep their identities secret, but he also saved their correspondence – ostensibly to allow historians one day to give them their due credit. 

 

Yet the identity of the principal spy eluded historians’ best efforts. Until in 1929 Morten Pennypacker noticed the handwriting of a prominent New Englander was identical to that of the unidentified spy. Discovering his identity allowed their collective story to be told. 

 

The spy-ring included one woman, still known only by her code name: 355. She was in a position (and perhaps occupation) that enabled her to get valuable detailed information, all unsuspected until she was discovered and likely imprisoned on a British prisoner ship where she eventually died. 355 was probably as essential for the outcome of the war as any of the patriots we read about in our school history books – yet we don’t even know her name. Ponder that. 

 

How did they contribute to the victory? What did they accomplish?

 

You likely know of the Christmas 1776 surprise attack by Washington in which his army crossed the Delaware River at night, marched nine miles and attacked the Hessian enlisted soldiers in a complete victory which gave their struggling cause new hope. Probably you don’t know that the surprise happened because a spy (trusted by the British) told the British that Washington’s troops were discouraged and tired and would be resting over the Christmas holiday. So the Hessian soldiers drank and partied before bedding down for – they assumed - a good night’s sleep. 

 

You know of the traitor Major General Benedict Arnold. Perhaps you don’t know that he came very close to giving the victory to England by convincing Washington to give him control of the fort at West Point, which he would turn over to the British (possibly with Washington inside). It was Washington’s spies who helped uncover the plot, which in turn led to the capture of Britain’s venerable spy, Major John Andre.  Although Andre was liked and respected by friend and enemy alike, Washington had him hung – likely in retaliation for the hanging of unsuccessful spy Nathan Hale. Such a fate awaited any captured spy. It was not just a witticism of Ben Franklin when he told his colleagues, “We must all hang together, or we shall all hang separately.” (England buried Andre in Westminster Abbey.) 

 

You perhaps know that Washington finally defeated General Cornwallis at Yorktown because the French navy defeated the British on sea, while Washington penned the enemy forces on land. However, only in reading this book did I learn the reason for the French naval victory. One of Washington’s spies who worked in a NYC print shop obtained the entire British naval codebook, so the French forces knew immediately how the British ships would move as secret orders were passed from the command ship to other ships during the battle. 

 

Washington’s spies also discovered a clever plot by the British to flood the country with counterfeit American currency bills. This would have rendered U.S. currency useless and crippled the new nation. 

 

When Ben Franklin convinced the French to support the American cause by committing their naval forces and thousands of accompanying troops, it was clear to everyone (including the British) that France was preparing to send a major force. Washington, who had himself served as a spy two decades earlier during the French and Indian War, was clever enough to realize that England had a spy network as well. So Washington made fake detailed plans for an attack of New York City, and arranged to have the plans lost so that they ended up in British hands.  This caused the British to keep their forces in NYC rather than to use them to repel the French forces as they landed in Rhode Island.  Washington’s attack never came, and the British realized they had been tricked – big time! 

 

 The whole account is fascinating. These spies, whose sacrifices gained our independence, deserve a statue, and their story deserves to be told and known. 

The 80/20 Principle and the 70% Rule

 HS #130 2026.5.14

 

The 80/20 Principle and the 70% Rule

 

Have you heard of the 80/20 Principle? It’s a management concept that says 20% of the people in any group do 80% of the work (and hence 80% of the people do only 20% of the work). It’s also a quantification of the Law of Diminishing Returns. For example, I can spend 30 minutes a day lifting weights and in cardiovascular exercise, or I can increase my workout time four-fold  and get even more benefit. However, it’s likely that I get 80% of the health benefit from just that first half hour. Putting in all the extra effort does not give that much more added effect. 

 

Same goes with, say, buying a bicycle. I can buy a new quality bicycle for $600, or I get one that is three pounds lighter and perhaps more gears for $3000. But, the point is, I get 80% of the benefit of a bicycle for 20% of the cost. 

 

I first learned of this when I was in college from the campus director of Campus Crusade for Christ (CCC). He challenged us in the leadership of the organization to apply the 80/20 principle to our time in college. In particular, he suggested that instead of putting in all of the effort needed to get A’s in our classes, we put in much less time (20%) and be satisfied with earning B grades. Then we could use the extra time in ministry and evangelizing with CCC, hence making a greater impact on campus. 

 

I was a serious student, but also was a committed member of CCC who already spent 15 hours a week leading Bible studies, teaching the entire group, and actively sharing the “4 Spiritual Laws” with friend and stranger alike. So I took his recommendation seriously. 

 

However, I came to a different conclusion. I decided that the 80/20 principle might well be applied to many areas of one’s life in order to maximize one’s total impact. However, each person may have a particular area of life in which s/he wants to really excel and strive for perfection. I realized that since I was bound for graduate school in mathematics, that my academic pursuits were the one area where I should nix the 80/20 principle and instead fully commit myself to excellence.  However, I could and should apply the 80/20 principle to other endeavors, including my time in CCC. So, I cut back a bit on my ministry activities and learned more from my math classes (and graduated summa cum laude and PBK). 

 

More recently, I have discovered another related principle which I call the “70% Rule.” I notice it when I watch professional tennis and when I play pickleball. 

 

The idea is this: Competitors often hedge their bets. I notice that tennis pros engaged in a long rally may have an opportunity to make a decisive shot that will give them the point, but, fearing an error, they cautiously hit the ball at 70% (my estimate). As a result, often their opponent not only gets to the ball, but gains the offensive, and eventually secures the point. 

 

I get angry with myself when I notice that I do the same when playing pickleball. I don’t trust myself with a put-away shot, so I compromise and hit one that I think will do the job. However, then I watch as my opponent, faster than I expected, gets to the ball and pushes one past me. 

 

Both of these rules require wisdom and discernment to determine when they should and shouldn’t be applied. 

 

Any good financial advisor will tell you not to put all your eggs in one basket. Diversifying one’s assets (essentially my 70% Rule) won’t lead to the greatest potential wealth, but it is safer – and that counts for a lot. 

 

I just now heard an NPR story that Elon Musk will be investing $20 billion from Tesla into AI/robotic technology. Stock went down on the news. Musk doesn’t care – he does not live by the 70% Rule. He’s a success story. 

 

However, I recently had a phone conversation with a college friend who, following his father’s dream, has committed his whole life (including mortgaging his house) into a design and production venture based on their 100% commitment to following God’s will. At age 69, he is realizing that it has not worked as planned. 

 

Not safe; was it wise? Hard to say, but it is such people who change the world. 

Kinship of Mathematics and Science

 HS #129 2026.4.9

 

Kinship of Mathematics and Science 

 

In May 2024, we discussed whether mathematics is invented or discovered.  (Remember?) Now, we explore another long-battled question about mathematical knowledge: Does one learn mathematical truths from observing the natural world, or are we born with mathematical knowledge inside of us? 

 

Kant believed that unlike scientific knowledge of the natural world gained via experimentation, mathematical knowledge “rests upon no empirical grounds.”  He claimed we know mathematics a priori (prior to experience); we could discover it in a dark closet without ever seeing the world. 

 

I respectfully disagree. 

 

It seems to me that mathematics is initially learned via experience. It took Bertrand Russell and Alfred Whitehead ten years and 379 pages of logic to prove that 1+1 = 2, but the rest of us know it by counting our fingers. Given a circle, the length of the circumference divided by the length of the diameter always gives the same ratio, which we call pi. How do we know? Experience. Indeed, I send my math classes to athletic fields with ropes of different lengths where they pace off the circumference and the diameter. Always get pi.  Another example:  Why do we know that the order of adding numbers doesn’t matter (7+9 = 9+7)? Because we’ve tried it many times and it works. It's an axiom of the real numbers;  we are convinced of its truth via experience. Why do I know that five is a prime number? Because no matter how I try to divide this many dollar signs $ $ $ $ $ into equal piles of size greater than one, I can’t. 

 

Why do we know that two points on a plane determine exactly one straight line? Having seen straight lines, we can visualize it. Conversely, why can’t we picture a four-dimensional object? (Salvador Dali came the closest – see his Crucifixion (Corpus Hypercubus).) Four-dimensional objects are just as math-legit as three-dimensional objects, but we don’t have the benefit of seeing them, so we find them difficult/impossible to visualize. Similarly, it’s impossible to imagine the next color in the rainbow – the ones we’d enjoy if our eyes could see ultraviolet or infrared light. We humans have an embarrassing lack of imagination! 

 

So, as with experimental science, it seems we learn foundational mathematical truths from experience. However, once those initial truths are determined, then mathematics proceeds quite differently from science. 

 

A coin illustrates the difference. Having observed that both sides of a coin are HEADS, we DEDUCE that when flipped, it will always show HEADS.  Similarly, having all the information they need (their axioms), mathematicians proceed deductively, using logic to jump from one conclusion to another. They are confident that “proved true” means it IS true. 

 

On the other hand, if without looking at a coin, you flipped it 100 times – always getting HEADS, then you might – via induction – become convinced that it is a two-headed coin, even though you will never know for sure.  Similarly, scientists never fully assume the truth of their foundational assumptions. Instead, they acquire knowledge inductively by observing regularities and patterns in nature and then draw hopefully-correct conclusions – a process called the scientific method.  Karl Popper realized that, like the tossed coin, scientific experiments can never prove anything true.  One becomes increasingly convinced, but never certain. 

 

Indeed, consider these historical conclusions of physics: i) energy is conserved, ii) mass is conserved, iii) an object’s length and mass doesn’t change, iv) velocities in the same direction can be added. The truth of all of these were challenged by the brilliant mind of Einstein, and now have now been shown to be wrong via experiments.  

 

Mathematics, historically, also has had incorrect conclusions: i) every line has another which is parallel, ii) every number can be written as the ratio of two integers, iii) if something is true, it is possible to prove it true, iv) if you take some away, you have less. How simple and obvious – but all shown to be wrong! No experiments were needed, just pencil and paper through mathematical argument. 

 

Surprisingly, mathematics and science are also similar in challenging a fundamental truth. Even though they proceed by disparate methods, physics (via Schrodinger’s Cat) and mathematics (via sizes of the infinite) agree that, paradoxically, there exist things which are neither true nor false. That is, the world can’t be neatly divided into true things and false things.  Reeks of  postmodernism! 

 

How neat! Mathematics and science, each in its own way, reveal that our world is rich with wonder and surprise. 

Lowering Expectations: Living in a Fallen World

  

HS #128 2026.3.12

 

Lowering Expectations: Living in a Fallen World

 

It happens all the time. Someone hits a ball (volleyball, pickleball, tennis – any sport with a boundary line) and it’s not clear whether it landed in or missed. So the teams agree to replay it. The repeat clearly misses, and then someone announces, “First one must have missed.” I counter, “No, it must have landed in – after all, we live in a fallen world.” 

 

Many tacitly assume the world is inherently just and good. We are disappointed when it doesn’t work out that way. But, especially if you grew up in the Roman Catholic or Calvinistic tradition, you have been taught since a child that the world is fallen. Why then don’t we acknowledge it? 

 

When I first came to Hope College in 1988, the provost distributed a memo to the faculty about academic integrity. It began with the question: Why do some students cheat? As a naïve newcomer, I replied, “Given the theological foundation of this institution, shouldn’t we instead ask, “Why are some students honest?” As a result of this perceptive comment, I was invited to serve on a committee. Oh well, we live in a fallen world. 

 

Do you remember the scene from the first Indiana Jones movie where Jones, in a hurry to save the girl, doesn’t have time for a manly fight with the swordsman? So Jones shoots him. The surprise is humorous, because we expected Jones to behave justly and fairly. 

 

Why are (liberally-minded) Americans so exasperated with our current President? Because we assume we live in a world where the big kid on the playground uses his strength to defend the weak and promote justice. But any elementary gym teacher will tell you that the big kid is often the bully – using his size for his own selfish interest. Why should politicians and world leaders be different? Why should our President’s attempts to acquire Canada, Greenland, Venezuelan oil, and Gazan beachfront stun us? I’m not condoning; just asking, “Why the surprise?” 

 

Ironically, accepting that we are in a fallen world can lead to better living. C.S. Lewis explained it this way: Two men are confined for a month in a poor-quality hotel. One has been told he was going to a 5-star suite. The second was told he was going to prison. Which will be more satisfied?  

 

Indeed, being content comes from lowering expectations. 

 

Let’s dig deeper. Consider this (morbid) scenario: You have been kidnapped by terrorists and shown a revolver. You are told that in two weeks one of the six chambers will be loaded with a bullet, the cylinder will be spun then pointed at you and shot. Get the idea? 

 

The second scenario is similar except now five of the chambers are loaded with bullets. 

 

My question: Which scenario would be more distressing? I’m not asking which you would choose; I’m asking which would cause more distress? 

 

I’m convinced that I’d be more distressed by the first – with just one bullet. Why? Because if five bullets, I would accept my likely fate, but would FOCUS on the HOPE that I may survive. With one bullet, my focus instead would be on the unlikely event that I am shot, causing distress. Perhaps this is why atheists fear death less than the moderately religious - because they have accepted and come to terms with the reality of no afterlife. They live their lives with lowered expectations.

 

One way of lowering expectations is by realizing that we are not special. Some teachers tell their students, “If only one of you is helped, it will all be worth it.” Each student feels affirmed because they think they are that one exception. (Likely the same reason folks spend money on lotteries. They think they are uniquely destined to win.)  Wanting students to have sober judgement that they are not special, I instead explain that, “I have higher standards - if all but one of you are helped, it will be worth it.”  It gets a laugh. 

 

Shall we end with the wisdom of Jesus? He commended the deceitful servant who, fired by his master, reduced the debts of his master’s debtors so that he would have obliging friends once he was out of work, making the best of a bad situation. 

 

Indeed, Jesus exhorted his disciples to have realistic expectations of human behavior and thus to be as wise as serpents - while as innocent as doves.  How better to live successfully in a fallen world? 

What would Lincoln do?

 HS #127 2026.2.12

 

What would Lincoln do?  

 

Getting to know historical figures, one learns of their foibles and weaknesses as well as their strengths. George Washington, great man to be sure, was stiff and aloof. Ben Franklin had strained personal relationships and was estranged from his son. Adams was described by Franklin as "always an honest man, often a wise one, but in some things absolutely out of his senses."  Jefferson was sometimes disingenuous, attacking his friends behind their backs, but unwilling to confront them face to face. 

 

On the other hand, Abraham Lincoln, whose birthday is today, was a giant – literally as well as figuratively. He deeply understood the U.S. experiment: government of the people, by the people, for the people, but also understood that to make the government work, we the people needed to be guided by our better angels. He had many close friends who loved him and recognized his greatness, and his moral sense ran deep. He was committed to finding truth, studying Euclid’s geometry to learn how to prove the veracity of an argument.  

 

But it is Lincoln’s sense of humor (often self-deprecating) counterbalanced by his melancholy that endears him to me. 

 

When accused of being two faced, he responded, “If I had another face, would I wear this one?”

Debating the short-in-stature Douglass, Lincoln was asked how long a man’s legs should be. “Long enough to reach the ground.” When one of his cabinet members died, an ambitious office-seeker asked Lincoln if he could take the dead man’s place. Lincoln replied that certainly the coffin-laid man would presumably also like to trade places. 

 

Lincoln entertained his friends with humorous true stories. His favorite concerned the Revolutionary War hero, Ethan Allen, who visited England several years after the war. Asking to use a toilet, Allen was ushered to an outhouse where he discovered the British, still smarting from their defeat, had hung a picture of George Washington on the inside wall. Exiting the biffy, Allen announced, “Good thinking, gentlemen. Nothing makes an Englishman shit faster than a picture of George Washington.” 

 

As he bore the burden of leading a fractured country, Lincoln’s humor acquired an edge. Exasperated with the lentitude of Union General McClellan to fight, Lincoln asked, “If you’re not going to use your army, do you mind if I borrow it for a while.” Lincoln admitted, “With the fearful strain that is on me night and day, if I did not laugh, I should die.” 

 

Indeed, melancholy was equally part of Lincoln’s personality. Distraught about love, his friends took his razors for fear of him killing himself. As a young man, Lincoln admitted to a friend, “If what I feel were equally distributed to the whole human family, there would not be one cheerful face on earth.” 

 

Lincoln’s humor and melancholy both emanated from his honest acknowledgment of and willingness to face the truth about the world, while earnestly seeking solutions.  Therefore, I wonder, “What would Lincoln do in our present situation?” 

 

In his article, “We Are Witnessing the Self-Immolation of a Superpower”, Garrett Graff lists six significant ways that the U.S. is presently emasculating itself by ripping away these historic strengths: i) Easy access of immigrants and foreign students to our world-class universities, ii) Generous government support of higher education and medical/scientific research, iii) Broad and easy trade access to and from U.S. markets, iv) Strict adherence to the Rule of Law, 

v) Firm network of international alliances, vi) Independent monetary policy. 

 

Taken together these have given the U.S. unrivaled influence and leadership in the world. But in the past year all have been irrevocably damaged and minimized. Would Lincoln have ideas to gain back the international friendships and respect we have lost and are losing? 

 

What about at home? The violence at the U.S. Capitol on January 6, 2021 was not as significant as the violence done to Truth. The Capitol Police are now blamed for it and those who smashed, sprayed and beat are heralded as loving patriots. More recent lies about killings by ICE agents further undermine trust in our current government. “Alternative facts” abound. 

 

These are serious concerns. How would “honest Abe” restore a nation whose current administration has forsaken truth and morality? The U.S. is in urgent need of moral, truthful, Lincoln-styled leadership which challenges us to our better angels. Lincoln declared, “I have faith in the people . . Let them know the truth, and the country is safe.” Join me in living truthfully, seeking Lincoln’s ideal.   

 

 

New Year's Resolution: Being Kind

 HS #126 2026.1.8

 

New Year’s Resolution: Being Kind

 

Those who know me well would likely agree that I have a quick temper. So, many years ago while in Hope College’s Mathematics Department, I told my colleagues and office staff that my New Year’s resolution was to avoid saying anything out of line, and that, to motivate me, I carried a $10 bill in my wallet to give to the first person I snapped at. 

 

Unintended consequences. After a week or so of successfully showing my good intentions, the $10 became a booby prize because it demonstrated that some unlucky soul had done something so egregious that they had thwarted my best laid plans. Gladly, I have forgotten who won the prize. 

 

However, being kind to others may not be a bad resolution for all of us to attempt. I see admonitions to “Be Kind” with increasing frequency. A friend has as his email signature line, “If you be anything in life, be kind.” Schools and churches put it on their outdoor signs. 

 

I remember a quote from a Reader’s Digest, “Today I may have sacrificed truth for kindness, but that doesn’t greatly concern me, because I’m more sure of what is kind than of what is true.”

 

 NPR recently carried a story explaining that being kind to others leads to a better, longer, and healthier life. 

 

The reason is easy to understand. Kindness prevents unpleasant situations and promotes harmonious living. Who gets hurt when we are kind? Last fall, during the Grand Rapids Art Prize, an exhibit in DeVos Hall stated, “We all do better when we all do better.”  Don’t we all do better when we are all kind to each other? 

 

In fact, admonitions to be kind reach back millennia. Being kind to others is certainly a corollary of Jesus’s “Golden Rule” to treat others as we want to be treated. And even the ancient Stoics included kindness as one of their principles to live by. 

 

Yet, if we’re going to get philosophical about it, let’s include Aristotle’s Golden Mean. Aristotle wisely cautioned us against taking anything to the extreme. 

 

But, hey, what balance is needed in being kind? Well, let’s go back to the above quote from the Readers’ Digest. Yes, perhaps it IS easier to determine what is kind than what is true, but isn’t truth sometimes so important that it’s worth the risk even though compromising kindness? 

 

In similar spirit, my hero Teddy Roosevelt once said, “If given the choice between Righteousness and Peace, I choose Righteousness.” 

 

 Years ago, the Hope College student newspaper, The Anchor, carried a letter from a student disgusted with the destructive antics of his fellow students. I had a few thoughts to contribute, but figured that any lecture from a professor would be dismissed immediately by the offenders. So I wrote a tongue-in-cheek letter defending the juvenile behavior in the hope that, by the end, they would realize I was poking fun at them. 

 

Unfortunately, my subtle approach succeeded so well that I got several letters from faculty and administrators chastising me for my remarks. Telling my fellow-faculty racquetball partner about it later that day, he replied with words I’ve never forgotten, “You hate you always err on the side of caution.” 

 

Indeed! Yes – that is my life motto – he hit it!  It’s easy to “play it safe” in life. To keep out of trouble by not taking chances with people. And being kind to others MAY be motivated by avoiding risk. In fact, there is a descriptive phrase heard here-abouts, “West Michigan Nice” describing the avoidance of conflict by eschewing substantive discussion. 

 

Instead, the worthy challenge is to be kind in a substantive, even sacrificial, way that cares for the other person, while treating them with the respect which may include honesty and risk. 

 

Are you familiar with the Antarctic explorer, Earnest Shackleton, whose ill-fated voyage caused him and his men to abandon ship and trek back home over the ice-covered continent? His trip is detailed in the riveting book, The Endurance.  In Munising MI, I met the daughter of the only American on that venture. He told her of “shenanigans” by Shackleton and the officers when they all drew straws to determine who would get the warm fur-lined sleeping bags. It “just so happened” that ALL of the good bags were drawn by the sailors, leaving the poorer bags for Shackleton and the officers. 

 

THAT’S kindness - that’s kindness that is sacrificial and that matters. 

Living with Ambiguity

 HS #125 2025.12.11

 

Living with Ambiguity

 

Any pickleball player will tell you that it is essentially a social game. One goes for the exercise, but just as much for the social interaction. The inventers have certainly added immensely to the quality of life of retired folk in particular. 

 

And that social interaction, as always, allows one to see how folk are different from each other. 

 

Case in point: Some balls are clearly in and some are clearly out. But others bounce so close to the line that (given the speed and the bifocals) one can at best make a good guess. Good sportsmanship necessitates that if it is truly unknown, you give the point to your opponent. Yet, even then, there are some bounces that I think are most likely in my favor, but I can’t be sure. So I will sometimes hesitate and ask my partner to verify, or check to see if someone on the other team had a clear view. (In fact, depending on the angle of sight, the same bounce can appear clearly in or clearly out.) 

 

Now what’s interesting is that some with whom I play appreciate (or at least tolerate) such indecision, while others will snap back, “Just call it - it was either in or out!” 

 

Little do they know that such a response ties up my thinking for the next half hour pondering the difference between ontology and epistemology. Briefly, ontology concerns “what is” while epistemology concerns “what we know.” I’m in hearty agreement that in fact either the ball was in or it was out. Yet, as anyone who watches D1/professional sports knows, even looking at a play in slow motion from several angles can yield different opinions. 

 

Indeed, there’s a story of two baseball home-plate umpires arguing about how to make the ball-strike calls. One says, “I call them AS THEY ARE!” The second responds, “They ain’t nothing til I’ve called them!” They are having a philosophical phight!

 

Which umpire is correct? Is one clearly correct, or do you appreciate that each may have a valid point? Can YOU live with ambiguity?  

 

Perhaps you heard of the judge who upon hearing the prosecutor, announced, “You’re right!”

Then hearing the defense, announced, “You’re right!” The bailiff whispered to him, “Your Honor – they can’t BOTH be right.” The judge replied, “You’re right too!” 

 

My pastor father once told me that the reason for huge attendances at mega-churches with ministers who “simply tell it like it is” (think Falwell) is because many cannot tolerate ambiguity, instead needing sure, simple answers. I agree. 

 

In fact, there is a psychological experiment where the subject is given a picture book with many pages. The first page clearly shows a drawing of a cat, the last page has a drawing of a dog. But the pages in between show drawings that very slowly, subtly evolve from one to the other, each picture just minutely different from the previous. 

 

So when asked to identify the pictures, some will respond, “cat, cat, cat, not clear, not clear, not clear, dog, dog.” Others, however, refuse to admit ambiguity. They can’t reasonably switch from cat to dog on any two adjacent pages because of the minute change, so they begin with “cat, cat . . “ and continue saying cat even though the picture is clearly that of a dog. 

 

Those who read my columns regularly might anticipate that we’ll now turn to religion. 

 

I taught a senior seminar class at Hope College for twenty years in which on the first day of class I asked students to introduce themselves including: Give your number on a scale from 0 to 10, 0 indicating “I am sure there is no personal God” to 10 indicating “I am certain that there is a personal God.”  Some were safely at the extremes – some were safely in the middle. 

 

C.S. Lewis admonished his readers to make a decision in faith and stick with it – that living in any room is better than staying undecided in the hallway. I disagree. I realize it’s likely a matter of temperament, but on many significant issues in which I find no compelling evidence, I prefer living undecided. For me, it seems that that is the best way to live with integrity, rather than artificially making a call when I’m not confident. 

 

I liken it to being bounced around in the waves – completely at the mercy of swells of truth coming from all directions. Unsettling perhaps, but a wild ride. 

 

 

Thankful for Holland

 HS #124 2025.11.13

 

 Thankful for Holland

 

Several weeks ago, I saw a movie with testimony of a former Holland resident who said that as a teenager, she found Holland boring and somewhat ethnically snooty (Ain’t Dutch, ain’t much.)

Given that teenage years are often ones of discontent, and given that I’m presently 67, the age statistically found to be the happiest (perhaps the best balance of health and freedom), I still found the comment almost laughable. 

 

Granted, Holland is proud of its history. Our annual Tulip Time and the Van Raalte statue in Centennial Park remind Hollanders of our proud heritage. On the other hand, I recently sent Hope College President Matthew Scogin an email suggesting that Hope consider changing its mascot from the Flying Dutch(men). The Flying Dutchman was a legendary ghost ship – kind of cool, but perhaps it has outlived its usefulness to inspire. My own choice would be HOpe College HOney Badgers. Essentially a Wolverine’s little cousin, honey badgers are not only super smart and ferocious fighters, but are also rather handsome. Check out: https://www.youtube.com/watch?v=c36UNSoJenI    and 

 

https://www.youtube.com/watch?v=MHGNsZVE5Ik. You’ll be impressed!

 

Be that as it may, Holland as a whole seems to embrace good living for all of its residents. My list below is available to all – and many are free or inexpensive. 

 

Our nearby beaches are obvious, but it’s easy to forget to take advantage of hometown riches. If you haven’t done so recently, take a trip to Oval Beach (Saugatuck), Saugatuck State Park (includes beautiful fall color hike and the Felt Mansion), Laketown Beach (dune to climb), Holland State Park, and Grand Haven State Park. I still get “thankyous” from former Hope students who I introduced to those parks during their college years. For something even closer, walk down the lakeside sidewalk of Kollen Park as the sun sets. I am often there and am surprised more don’t take advantage of it. 

 

Kayaking is available at Pigeon River a few miles north of Holland, or New Richmond Park on the Kalamazoo River just a few miles south of town. I’ve seen osprey and blue heron lately. The Black River is a quick paddle with sounds of Holland all around. The Nature Discovery Center (with its Bird of Prey exhibition and best-I’ve-ever-seen taxidermy) provides a fun afternoon’s outing. 

 

For indoor recreation, the Holland Aquatic Center is one of the best in the country – including weights, cardio, indoor track, and exhilarating water slide. Pickleball courts (both indoor and outdoor) abound. Outdoor are all free and enough indoor that competition keeps the prices low. I just now returned from Holland Charter Township Community Center – one more first-class facility available at a decent price – and free for Silver Sneakers. For those over 55, Evergreen Commons provides all sorts of recreation and activities. 

 

And we have more coming – a multi-season ice rink and mountain bike course. 

 

What about the arts? In the last twenty years, Hope College has built an “arts corridor” along Columbia Avenue including music, theatre, dance, and painting/sculpture. Many of the events are free admission, and the Miller Auditorium provides a space second-to-none. Local churches (Free@3 at First Reformed Holland, Second Series at Second Reformed of Zeeland)  offer monthly programs by area artists in a beautiful space. 

 

And the food! It’s easy to forget, when walking along 8^th Street, that Holland’s population is only 35 thousand. Many such Midwest towns of this size are excited just to have an Apple Bees. A dozen years ago, offered a faculty position at Carleton College in Northfield, Minnesota (also home of St. Olaf College), I was surprised on my visit to find relatively few good options for dining. I decided to stay in Holland. Even compared to other such college towns, Holland has it good. And we have a new Indian restaurant! 

 

Then there’s our location. We are a short hop from Saugatuck and Grand Haven, two interesting places. Grand Rapids offers the only professional ballet in the state (fantastic!), the Grand Rapids Men and Boys Choir (rarely found out of England), DeVos Hall with many first-class shows, and Meijer Gardens for art of all kinds. Chicago is a three-hour train ride away. 

 

AND! – have you thought of this! Holland is positioned at the far western edge of the Eastern time zone. So we get long summer evenings in which to enjoy all of these opportunities. 

 

So, raise your glass in thankfulness to Holland. If it’s empty, head down to the Farmers Market. At this writing, the Honey Crisp apples are still available.  

 

 

 

The Risk of Belief (Published in Ottawa News Network)

 ONN #2 2025.10.30

 

The Risk of Belief

 

Dear West Michigan friends – 

 

Before my column proper, a quick introduction. Ten years ago, Sarah Leach invited me to write columns for the Holland Sentinel. I have enjoyed it greatly. For the previous dozen years, I had been known as “the mathematician with Elvis – the calculus corgi.” That changed, to “I read your column.” As you all likely know, a couple years ago, Sarah was removed from the HS and subsequently began the Ottawa News Network. Wanting to continue my readership, I submitted my columns to both. Recently, the HS explained that they can only take columns exclusive to them.  So, I’ll continue my monthly columns with the HS, and will write occasional (perhaps more personal) columns for ONN, including this one and a recent one, “Why Must the Beautiful Die.”  You can find ALL my columns at timothypennings.blogspot.com. 

 

This column, a bit different, is correspondence with my friend, author/Hope Professor David Myers when he alerted me to the recent essay, “Fully Maga-fied Christianity” by Peter Wehner in The Atlantic. 

 

Dave wrote to me: “Tim, you might enjoy this - actually, it’s the last sentence that I liked best.” 

 

The last few sentences were: 

 

“This world is broken but beautiful, a gift from God, and the good in this world is worth fighting for. One lifeon this Earth is all we get, and, in the words of the pastor and theologian Frederick Buechner, “at the very least we are fools if we do not live it as fully and bravely and beautifully as we can.” God is far moreresplendent than the theologies and doctrines about God that we humans construct. And, as the writer Rachel Held Evans put it, “faith is always a risk. No matter what we believe, there’s always the chance we might be wrong. But the story of Jesus is just the story I’m willing to risk being wrong about.”

 

 

I replied: 

 

Dave – 

 

This evening in choir (GR Choir of Men and Boys), we had a guest - a former teacher and presently a minister with the Orthodox Presbyterian Church. After choir, I approached him with a direct question which led to a 75-minute conversation on the street of GR (a policeman actually pulled up - perhaps wondering what was going on). Thankfully, he was self-assured enough (with good reason - he was obviously well educated and thoughtful) to take my question in stride: How old is the earth?

 

His answer: Somewhere less than 10,000 years. 

 

My reply: A Presbyterian - under the umbrella of Calvin - acknowledges all truth as being God's domain and, so I would think, you would find it difficult to accept an understanding of the Bible that is in direct opposition with all the various disciplines of science which point to the age of the earth and universe in the billions of years. I explained that the ratio of 4.5 billion years vs 10,000 years is like walking in a forest of 200-year-old trees and thinking they had been planted that morning. 

 

However, he thought that in time, scientists will come to recognize that our present scientific understanding is entirely wrong. That, in fact, the world is best/only explained as being one in which there were numerous acts by God unexplained by science except as being a miracle.  He REALLY BELIEVED IT - - that is what struck me. He reminded me of Johnny Depp's character, Ichabod Crane, in “Sleepy Hollow” when he first encounters the headless horseman, and the next scene shows him in a fetal position in a corner of a room with all the people who had told him that the headless horseman existed. He exclaimed, "You don't understand! There really IS a headless horseman!” Crane assumed the people’s belief was insincere, whereas he really KNEW it to be true.  

 

Similarly, this young pastor wasn't making his claim out of obligation - he really believed it, all because of his devotion to read and understand the Bible as (he claims) it has historically been understood by the church.  For my part (I was very candid), I was aghast that such a thoughtful, educated person would live his life without appreciating the true age (and hence grandeur) of the universe in which we live. That he would go into museums and read articles and books apparently shaking his head that, "Nope - all of this is totally wrong. All of these tens of thousands of scientists - geologists, physicists, cosmologists who have researched for decades - have all come to the wrong conclusion about the world we live in.”  To me, that's a real tragedy. It does violence to truth itself. Hence my passion about it. 

 

Case two: Just now I heard a BBC article about hundreds of glaciers disappearing each year in Switzerland. On TV this evening a story about how African farmers are finding ways to change their practices in light of global climate change – either change or starve. Another recent story: The coral reef off Florida is dying before our eyes because of warming sea water.  A constant stream of such evidence and yet some are convinced that it's not happening. 

 

How can (why do) people allow themselves to go through life believing a lie? 

 

So how do these examples of living in deliberate ignorance compare with willingly risking being wrong about the story of Jesus?

 

Most importantly, beliefs of a purely spiritual nature don't affect one's view of physical reality and so don't hinder the advancement of human knowledge. 

 

Secondly, as you have documented and eloquently expressed, religious beliefs can lead to a “spirituality which helps makes sense of the universe, gives meaning to life, opens us to the transcendent, connects us in supportive communities, provides a mandate for morality and selflessness, offers hope in the face of adversity and death, and nurtures purpose, love, joy, and hope.”   

 

You and I both live richer lives because of the community, inspiration and opportunities for service that our church offers. However, personally, while I understand those who would “take a risk” with their religious beliefs, I think the best life is one focused unflinchingly on truth - on truth as one honestly comes to understand it.  Is there a personal God? I don’t know. But if there is, I will let God lead the dance and I will respond in kind in the hope that a personal and good God, a God worth knowing and worshipping, values that sort of life and commitment.