Philosophical Multicore

Sometimes controversial, sometimes fallacious, sometimes thought-provoking, and always fun.

The Ultimate Infinity

Posted by Michael Dickens on August 13, 2008

Infinity is big. There are infinitely many integers. But there is another infinity that’s so large, it is greater than the first infinity. Let’s call this infinity:2. There is an even greater infinity that can’t be matched up to infinity:2. It’s infinity:3. Infinity:3 is larger than the set of numbers. There are more…um…things in infinity:3 than there are numbers in the whole of existence.

So you can keep doing this until you get to infinity:infinity. But then you can do it all again so you have infinity:infinity:infinity. You can keep cycling until you have infinity:infinity….infinity:infinity, with an infinite number of infinities. But the number of infinities in the chain is only infinity:1. What if there are infinity:infinity infinities in the chain, or infinity:infinity….infinity:infinity infinities in the chain? And how many infinities are there in THAT chain? So you end up getting a number that is so incredibly big, it’s not even infinity. It’s a whole entire realm of number that cannot be defined in any way by anything, ever. I will call this number thing “infinitismo”. Nothing is bigger than infinitismo.

What do you think of this concept? Do you understand it?

It is really cool. šŸ™‚

Where’s a crazy smiley when you need one?

Edit 8/2/09: This concept already exists, and it is known as “omega”.


One Response to “The Ultimate Infinity”

  1. mtgap said

    Apparently, there is no infinity bigger than 2^infinity. That’s weird.

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