~ Where the Sun Will Never Set on Our liberty ~
This close to Jesus birthday, what topic could be more relevant than:
Mathematics of God's Existence
We sometimes hear that there need be no existence of God. We then hear the idea that monkeys could type the complete works of Shakespeare if given the chance. Perhaps, but who is crazy enough to try and figure out what those odds are? Me of course. The math details at the end here for those who want to know what the math is based on. But first the answer. And this answer gives the monkeys several breaks. I do not take capitalization into account. That would make the number worse. We also assume that the monkeys would know when to stop. If so, then the odds of monkeys typing the complete works of Shakespeare I calculate at:
47 to the power of 3,650,816 What?
Well, just multiply 47 times itself 3,650,816 times to get the answer.
What is the answer? The scientific calculator that I wrote myself in code says the answer is an overflow - even in scientific notation. Okay, so then I tried the Microsoft scientific calculator. It says invalid input. What that means is... the number is so huge it cannot be calculated with this computer.
Okay, then about how much
Well, then I use logarithms to get an idea of the number size and I get a number followed by 6,104,521 zeros. How big is that? Well, one million would have 6 zeros after it, one billion would have 9 zeros after it, and one trillion would have 12 zeros after the number. This number has 6,104,521 zeros after it.
But the universe is 13 billion years old.
Okay, so let us say that this monkey can try to do the works of Shakespeare maybe 7 times a year since it is one really fast monkey. And so we could say 100 billion attempts. 100 billion has 11 zeros, so we subtract 11 zeros from our number (math division is subtraction in logarithms) and we are already down to, yes!
6,104,510 zeros after the number
Okay, what if we always had a million monkeys trying this each of the 100 billion attempts. No problem. Subtract 6 from the last number, and we are now way down to:
6,104,504 zeros after the number
Or as a scientific math guy like me would call such a number ...
So ridiculous that anyone believing in it is wasting our time.
COMMENTS FROM A GREAT THINKER
Charles Krauthammer who currently has the bestselling book on the NY Times book list called "Things that Matter" is sometimes called our best TV commentator. I would agree that he is not bad. (I have high standards). Charles says he is not a religious person but like Newton, he fears God. Charles said:
"I'm not at all an atheist. I mean, of all the possible theologies, atheism is the least plausible," he said at the time. "I mean, you've got to explain the existence of the universe, and to assume it invented itself or created itself is rather odd."
I certainly see what he means. There is something serious going on here that we do not get, and that which cannot be explained away by monkeys. And that Something we do not understand that is far smarter than us, some of us call God.
MATH BEHIND THE MONKEY PROBLEM
* Number of Keys on a Typewriter (Internet answer) = 47
* Number of pages = 1280 (internet sales place) on complete works of Shakespeare
* Average number of characters with spaces per page = 2954.5 on Mark Twain's Huck Finn on the book I have (electronic of course)
* Average number of characters with spaces per page = 2750.0 on Mark Twain's Tom Sawyer on the book I have (electronic of course)
* Average characters with spaces per page for Mark Twain's 2 books: 2852.2
* Logic Check - compare with a book I wrote where characters per page was 3643 - a higher number - meaning we give the monkeys a break using the Mark Twain standard
* at 1280 pages, 2852.2 per page of characters gives 3,650,816 characters
Now then, we forget capitalization and also assume the monkeys know when the complete works are done. So then what we have is simply math. The odds of getting any character right are one in 47 - the number of keys on a typewriter. And please note that computers have even more keys, so again we give the monkeys a break and consider just a typewriter. And so the odds of getting the first character right is:
one chance in 47
The odds of getting the first two characters in a row simply means two correct answers after each other:
one chance in (47 times 47) or one chance in 2209
The odds of getting the first three characters in a row simply means:
one chance in (47 times 47 times 47) or one chance in 103,823
We can see that this is getting bad and we just at the very start.
If monkeys typing on a typewriter is the argument, I really see no logic how anyone could believe that happenstance is likely. I agree with Charles Krauthammer. There is something serious going on here that simple odds and "serendipity" do not explain.
Merry Christmas and Happy New Year !
Merry Christmas RN and many thanks for your clear and concise thoughts on all this 'monkey business'. LOL!
Yeah DA. thanks to you and JB.
In going through the math, I find it quite sad that humans on earth cannot get down to the real question. If the existence of the world was not happenstance, then Who did this? Is it an alien race as the movie Promethius suggests? But then who created them asked an actress in that movie? And is it a friendly God? The God of the bible? It sort of amazes me that people can live and die on earth and never care about basic questions. As for me, I am a practicing Catholic. But like friends of mine, it does not mean that I listen to every sermon word for word. Reliving in God is one thing. Believing the person in front of you can make no errors is another. And I truly wish that Pope Francis and CS Lewis, a religious author who died in 1963 would stay our of world economy since they know nothing of it ...lol. Jesus did. Too philosophic, eh?
It is good to know that our existence may be an expression of good humor, but it does not rise to the level of monkey business. :))