Holy Bibble

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IN THE Beginning<
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Genesis 2:2 By the seventh day God had finished the work he had been doing...

And here we have: The Holy Bibble. We've got the domain name all registered and the webhosting giving us a place to put the holiest of holy comics (except for, perhaps Sinfest). I'm feeling pretty holy right now. Pretty cleansed of all my sins. I imagine you should be feeling pretty damn holy right now as well after reading all about the advent of your great^100 grandfather. Wave hello to him, I'm sure he can see you in the great above. Tell him you're reading all about him and what a defiant little punk he was in his earlier years.

Anyway, let me introduce myself a little. I am Lucas Daniels, and I am here to set you all free by revealing the true Word of God. My brother in religion is Cannan Jacobs. Basically, I draw it, and he writes it, though you probably won't see much of his commentary online. He's super religious, you know, like living in a cave, eating nothing but bugs and rodents, all in the name of the Lord. I have to drive out fifty miles to go visit him in his cave with a few candles (he vehemently opposes electricity, of course) and paper so we can write the next week of Holy Bibble. It's a tough job, but it's for a good cause. It's for the Lord!

What up dawgs? I am known as Cannan Jacobs. It is true, I went through a phase in my spiritual life where I thought isolation and deprivation was the true path to salvation. But your mom proved me wrong. Your mom's french toast is really good. I know, because she made me some for breakfast. Yeah, that's right. I'm yo daddy.

Hmm... great^100 grandfather, eh Lucas? You know... Mathematics is the most pure of all God's creations. It transcends all of humanity. For example: any intelligent alien race, regardless of biological structure, would come up with the same value for pi (the ratio of a circle's circumference to it's diameter) as we have. Like Plato's Perfect Forms, Mathematical abstractions are a property of the universe itself: it's proofs and theorems are encoded in the Ether; They are not created, but discovered. I cannot, therefore, tolerate your blasphemous claim that Adam is our great^100 grandfather.

Let me speak for a moment on the system for describing the greatness of grandfathers. If you are talking about your grandfather, you say "great" 0 times. If you are talking about your grandfather's father, you say "great" 1 time. If you are talking about your grandfather's father's father, you say "great" 2 times, and so on.

Formally, we can define the language of grandfather strings as follows:

GRANDFATHERS = { w | w = x*y, where x and y are strings, x = "great" and y = "grandfather" }

Note: the star operator "*" indicates that the string x can be concatenated with itself zero or more times, i.e. x* = {"","great","greatgreat","greatgreatgreat"...}

Now let us analyze Lucas's expression: great^100grandfather Is Lucas's string in the language GRANDFATHERS ? Clearly it is not, for it cannot be expanded to fit the form x*y, where x and y are strings, x = "great" and y = "grandfather". This is because great^100 is not equal to (k)"great" for any k.

A more suitable way to express Adam's "greatness" is to multiply "great" by a constant instead of reaising it to a power. In this way, (0)"great" = "", (1)"great" = "great", (2)"great" = "greatgreat", and so on. I could, in this way, refer to my grandfather's father's father's father by using the expression (3)"great""grandfather", which would, on evaluation, return "greatgreatgreatgrandfather".

But how many "greats" is necessary to describe Adam's "greatness" ? 100 is clearly too small, as 100 generations would only amount to about 2000 years. 10^100 is clearly too big, as there are only about 10^80 stable particles in the universe, and it would be unreasonable to think that there have been more generations of humans than there are stable particles in the universe. The answer lies somewhere in between... I'll post more on this interesting problem later.

For those of you who thirst for a deeper understanding of formal language theory (as every virtuous man should), I recommend Michal Sipser's book Introduction to the Theory of Computation. You can find it here.

Fuck you, Cannan, Adam was your Grandfather^1000!

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