THE RACE COURSE PARADOX

Greek Philosopher Zeno

The ancient Greek philosopher Zeno proposed a set of philosophical problems he called paradoxes. One of the most famous is the Race Course Paradox.  It was posited as follows:

“Suppose Atalanta wants to walk to the end of a path. Before she can get to the end, she must get half-way to the end. And before she can get to the end from the half-way point, she must first get half-way to the end from there. And so on, infinitely. According to this reasoning, Zeno said, it would be impossible for Atalanta to ever get to the end of the path. No matter how close she got to the end, she would still have to first go half-way.”

Democritus proposed that the universe was composed of tiny indivisible particles called atoms and reasoned that when Atalanta reached only one atom from the end of the path, the distance could no longer be divided in half so, the paradox was solved!  Although this solution was challenged, it remains relevant because it corresponds more to modern science than any such theory of the ancient world.

Since I’ve earned degrees in both mathematics and Industrial Engineering, I recognized the paradox from a different perspective.  It seems there was a young mathematician and a young engineer who were both vying for the hand of a beautiful maiden that couldn’t chose between them.  After much bickering, they solicited her father to settle the issue.  The father liked both of the suitors so, he proposed drawing a line in front of his young daughter and challenged the two of them with the Race Course Paradox. 

The mathematician immediately threw up his hands and announced that “I know of this paradox and I give up as it cannot be resolved!”  The engineer thought about it for a few minutes and began walking towards his future wife.  When the other young man questioned his strategy, the engineer announced that “I may not get to the very end, but I’ll get close enough for all practical purposes.”

The young woman’s father welcomed him into the family!

P.S.

I’ve learned over the years that it takes significantly more energy, cost and effort to attempt perfection when good enough will do quite nicely, thank you.

 

SHATTERING LIFE LESSONS

Shattered Glass, Greensboro, NC

“Golf is about how well you accept, respond to and score with your misses, much more than it is a game of perfect shots.”  --Dr. Bob Rotella

Over the years I’ve read a couple of the books by sports psychologist, Dr. Bob Rotella. I find that he has some pretty astute observations on the game of golf and life. I particularly like this quote because there are many things in life beyond our control except one thing—how we respond.  We fallible humanoids are anything but perfect and that understanding enables us to admit problems we have created, seek forgiveness, make things right and develop our character as we mature and move on in life.  Golf imitates life and neither are fair. Fair is where clowns, cotton candy and pig judging happen.

Passing by a shattered window a while back triggered a childhood memory of playing baseball with my dad.  He was pitching to me in our backyard and throwing some smoke to work on my developing strike out percentage.  Much to the surprise of both of us, I connected on a fast ball and sent it over our back fence and into our neighbor’s window!  I do believe my initial inclination upon hearing the shattering sound of breaking glass was to just get the heck out of there, while my dad just stood there in shocked amazement. Then he turned to me and calmly stated that we needed to walk over to the neighbors and confess. That seemed a bit too impetuous at the time, but he put his arm around my shoulder and we strode over and admitted our transgression. Then my dad offered to measure the windowpane and replace it for the neighbor.

Many years later, I was playing golf at the invitation of a corporate partner with a group at Pinehurst.  I was riding with a former associate that could hit the golf ball a country mile.  He wasn’t on the tour, however, as many of his drives sailed out of control.  As he teed off on a long par 5, we heard the sound of shattering glass on the horizon amongst the towering pine trees!  We probably could have scurried on down the fairway out of sight, but instead we drove into the pine trees to find a woman standing on her expansive front entry under a shattered transom window holding up a white golf ball.  Some women have likened childbirth to pushing a piano through a transom, but the size of this transom would have made for an easy delivery!  She wasn’t at all upset but remarked that they had lived in the home for years and this was the first time anybody had ever hit the house!  My playing partner immediately produced the company’s insurance information and we hurried on to our next shot

.

These life lessons reinforced the observation that you can never go wrong doing the right thing. That especially applies when something shatters your life and you need to step up to admit your role in a bad situation and work to fix it.   And God will work alongside us to bring good out of any bad situation. For example, our neighbor gave my baseball back to me and the woman gave back the golf ball!

NOT A GAME OF PERFECT

Imperfect Cross, Bethlehem, Israel

A pending Duke Theology graduate and friend shared his learning experience in the Holy Land last Thursday at a breakfast and thoughtfully presented everyone with an olive wood cross that was made in Bethlehem. As the bag of crosses was being passed to me I noticed an odd shaped cross through the clear plastic which I selected. This imperfect cross is slightly out of balance as the horizontal beam leans to one side, unlike the perfect being that willingly sacrificed himself for us on such a cross. There were a lot of crosses in the bag that were more perfect than this one, but it reminded me of the shells that I now pick up at the beach. When we first arrived in the Carolina’s and went shelling on the beach, I would seemingly walk forever to find the perfect shell that was not broken or misshapen or contained any flaws from days of being tumbled in the surf. Then on a much later beach trip, I began to notice the beauty that is in those shell fragments that are broken and polished by the constant pressure of the waves and the storms of life. That was the day that I began to collect those treasures that the bearer of the footsteps ahead of me had left unclaimed.

Our Creator and Savior doesn’t leave us unclaimed either. He created us humans with imperfections in a broken environment and gave us the free will to choose how we live and grow in our lives.

I’ve had two knee joint replacement surgeries and open heart bypass surgery in between them. God has taught me through my shelling experience on the Carolina beaches that the remnant zipper scars from those surgeries are not abhorrent but artistic character lines that were earned in the trenches of this broken world! And many of life’s scars are not visible, but all can be celebrated when God walks with us or even carries us on the beaches of life and helps us emerge safely on the other side of the island.

I know many of you have dabbled in the game of golf over the years and I’ve played the game on and off since I was in college fifty years ago. And one thing that I’ve learned through all those hours on a golf course is that the game of golf imitates life in so many ways. Perhaps that is one of the subconscious reasons so many of us are drawn to the game. It’s also one of those games that can never be mastered, although there are occasions when you pull off a perfect shot and can feel like you are indeed playing in the zone. Life can be like that too!

Over the years I’ve read a couple of the books by a sports psychologist, Dr. Bob Rotella. I find that he has some pretty astute observations on the game of golf and life. One of those quotes I particularly like is that:

“Golf is about how well you accept, respond to and score with your misses, much more than it is a game of perfect shots.”

And there are plenty of times in life where it seems we have absolutely no control over the adverse circumstances that we’re encountering. But we always have one very important control that we need to remember and that’s how we choose to respond to a situation. We always have a response to the hard shanks of life by communicating with our Savior who understands the suffering and pain we humans can encounter in this temporary mortal life. I don’t think it’s possible for any of us to go through life without experiencing pain and suffering. We have a lot of misses in life. It’s not a game of perfect. But when we have a solid foundation of faith based on the Word of God and the promise of His priceless grace and presence for us, we can respond with strength and the sure knowledge that He has us in the grip of His loving hands.