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Charles Seife

Fact #15: Chuck Norris CAN Divide by Zero

If you had asked me about 0 (zero) prior to reading Zero: The Biography of a Dangerous Idea, the answer I could have given wouldn’t have been too interesting. After all, as far as I was concerned, zero was simply the lack of something, the number between the whole numbers -1 and 1… I may have mentioned that 0 was also capable of making calculators complain; Windows Calculator, for instance, when fed 1/0 returns Cannot divide by zero., which is more than most hand-held calculators I’ve used return!

However, something I realized several years ago is that a calculator is being dishonest by saying you cannot divide by 0; indeed, you can, but the answer is as difficult to fathom as 0 itself: ∞ (infinity). The online calculators of Calculator.com reflect that when you attempt to divide 1 (or anything else) by 0.

Zero reaffirmed that thought, and it added unto it a wealth of history and knowledge about that seemingly innocuous number.

The journey spanned from ancient history, visiting with men like Aristotle and Pythagoras down through time to Newton, Einstein, and Hubble.

The author, Charles Seife, entertainingly paints the plight faced by mathematicians, scientists, and philosophers of the ages when they have had to go toe to toe with zero.

Though I don’t mean to say the book is wholly accessible. I’d be lying if I said I understood everything Seife wrote; indeed, anyone with even a rudimentary understanding of calculus would do better at grasping some of the concepts in Zero than I would.

The advanced mathematics discussion wasn’t what made the book enjoyable throughout, however; what I particularly liked was Seife’s dealings with the question of God. He didn’t skirt the issue, but neither did he exclaim that 0 (or anything else) was the death knell of God (or the concept thereof).

And though Seife does explain that the universe begins and ends with 0 (rather than the God of the Bible), he does provide a very positive nod to belief in God in his discussion of Pascal’s Wager.

Seife explained, Just as he analyzed the value–or expectation–of a gamble, Pascal analyzed the value of accepting Christ as savior. Thanks to the mathematics of zero and infinity, Pascal concluded that one should assume God exists (p. 101).

Note that Pascal’s Wager is not a proof of God; it cannot be. However, when given the choice between belief in God or un- or disbelief in God, Pascal determined that there is infinite gain in believing and infinite gain in disbelieving.

Pascal’s Wager holds true even if there is only a 1 in 1,000,000,000,000,000 chance that God exists; it is still a better bet, so to speak, to believe in God. The magic of zero and infinity makes it so. Actually, the time when it is not better to believe in God is when there is a 0 chance that He exists, and frankly, no one will ever be able to make that conclusion — the scientific method is powerless against things which are, well, by definition outside the realm of natural phenomena, which a transcendent being certainly would be.

Seife sums it up best on page 104:

If there is no chance that God exists, Pascal’s wager — as it came to be known — makes no sense. The expected value of being a Christian would then be 0 × ∞, and that was gibberish. Nobody was willing to say that there was zero chance that God exists. No matter what your outlook, it is always better to believe in God, thanks to the magic of zero and infinity. Certainly Pascal knew which way to wager, even though he gave up mathematics to win his bet.

Don’t let that trip you up, though; Zero is not a treatise on theology or the viability of God-belief, and continuing on through the book, we find that Seife seems to accept that the universe will one day die a heat death — a total freeze as the cosmos expand forever, all energy being expended, all stars having collapsed:

The expansion of the universe isn’t slowing down. It might even be speeding up. … The fate of our universe will not be a big crunch but an eternal expansion, cooling, and heat death … The universe will die a cold death, not a hot one. The answer is ice, not fire, thanks to the power of zero.

I hope that most of my readers would look at that and think, Nonsense! Revelation says… And certainly I agree with your faith in Revelation; however, let’s not discount the scientific explanation given above…

An infinitely expanding universe, with everything moving farther away from everything else, filled with no more suns…

Stay with me here:

  • Revelation 20:11 states that the earth and heaven (the universe) is fleeing away — it is moving away.
  • Revelation 21:1 states that the first heaven and Earth (the universe) passes away, a phrase which seems to mean both cast aside and perished.
  • Revelation 22:5 states that there will no longer be the light of the sun there — God Himself will be the light.

It’s somewhat a stretch, sure, but it’s pretty amazing that the Apostle John knew all that way back when, ages before Newton’s gravity, Einstein’s relativity, and Hubble’s expansion. And I’m thankful to Seife for this little bit of confirmation of Scripture, as strange of a confirmation as it is!

Zero is a great read, a little thick at times, a lot of fun at others (did you know that using the power of 0, you can show that 1=2 and that Winston Churchill is a carrot?). I recommend it to anyone who thinks they are a geek, especially a math geek, but also to anyone curious about the universe in which we live. Truly, 0 is at the heart of it — a fitting touch to a cosmos created by He who is Infinite.

Buy Zero: Biography of a Dangerous Idea at Amazon.com

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Pythagoras, GI*Joe, Coca-Cola, and the Flu

by Rick on December 12, 2007

I’ve been sick since Saturday evening, and I’m only just now feeling a tiny bit better. My voice has come close to vanishing due to the soreness of my throat, and I think I’ve a year’s worth of congestion fighting to get out of me.

Despite all of that, though, I’ve not had to miss work, and I’ve managed to get most of my Christmas shopping completed yesterday after clocking out for the day. Yes, I both work at Wal-mart and I do most of my shopping there. That’s just how I roll.

My amount of disposable income doesn’t really give me much choice anyway.

During my down time these past few days, I’ve been reading an interesting little book called Zero: The Biography of a Dangerous Idea by Charles Seife. So far, Genesis 1-2 has been referred to as the “Hebrew creation myth,” and John 1:1 has been translated, “In the beginning, there was the ratio, and the ratio was with God, and the ratio was God”; in a footnote, that translation is said to be “even more rational than the traditional one.”

More rational, perhaps, because it contains the word “ratio” once; however, for it to make sense, the God referenced would be nothing more than a, well, mathematical or logical construct, yet in the context God is far from that — He is an active, living person who is the Beginning and the Ending, the Alpha and the Omega.

Okay, that was a bit of a rabbit’s trail, but it bugged me so I had to say it. Regardless, Zero is proving to be an enjoyable read. Did you know that Pythagoras, despite being brilliant, was also a bit, hmm, strange? In fact, he died because he would sooner be murdered by those who would oppose him rather than flee from them by running through a bean field. Beans, beans, they’re good for your heart, but across them you shall never dart. Or something like that. Beans were taboo, and Pythagoras was very prideful.

Pythagoras Doin’ His Thang
Pythagoras Doin’ His Thang
(Sanzio, Rafaello. The School of Athens (detail). 1509. Stanza della Segnatura, Palazzi Pontifici, Vatican.)

Yet what we know him best for — the Pythagorean Theorem — has actually been known for centuries if not millennia before Pythagoras came along. I’m very disappointed I’m finding about this now rather than in 8th grade geometry.

I guess what I’ve sometimes heard is true: you learn that which is truly interesting not through organized curriculum but through independent study.

Okay, I’ve not actually heard that; it’s an axiom I’ve come up with to justify my independent learning of the Scriptures over against going off to seminary. Call that a cleverly disguised lack of ambition if you want, but if the Word of God was meant to be arranged into a curriculum, you would think somewhere in its 66 books there would be some evidence of such an intention. The concept of mentoring seems far more biblical (see the relationship between Christ and the disciples or between Paul and Timothy, for examples).

Speaking of Paul, who instructed Timothy to add some wine to his diet to aid his ailing stomach, Alicia brought home a bottle of red wine today. Apparently it is for some spaghetti sauce she was preparing. A sip of it marks the second drink of an alcoholic beverage I’ve ever had.

I think that makes me an addict.

Actually, that makes me a double-addict; caffeine will always be my first and most beloved chemical dependency. Granted, I’ve not fallen into that miry cesspool as far as, say, espresso drinkers have, but I took a small tumble further in when, the other day, I purchased a tin of Ice Breakers® Energy™ Peppermint Mints with Caffeine. Ten milligrams of caffeine per mint, actually. By comparison, the twelve ounce can of Coca-Cola® to my right contains 34 milligrams.

What I find interesting is that the mints contain a warning that they are “Not recommended for children, pregnant women or people sensitive to caffeine.” I wonder why soda, which is consumed far more often than these mints are and in higher quantities, does not bear the warning?

The Hershey Company, maker of the mints, must care more than the Coca-Cola Company. Yep, that’s the only possible explanation.

And if you’ve ever wondered what the word “REXAM” refers to on a Coke can — it’s located near the bar code — they are a consumer packaging company.

And now you know.

Knowing Is Half the Battle
And Knowing Is Half the Battle

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