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Saturday Morning Breakfast Cereal by Zach Weinersmith for October 19, 2016

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    Three Steps Over Japan  over 4 years ago

    Yes, God is a prime example of this.

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    Night-Gaunt49  over 4 years ago

    Infinity works as well if not better and there is no “infinity + 1” since it is already included in its sum.

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    What deity are you talking about Three Steps Over Japan ?“God” isn’t a name. Its actual meaning is “to call a deity” so which one?

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    drnihili  over 4 years ago

    (Aleph_0 + 1) is still Aleph_0. Adding a finite number to an Aleph doesn’t get you anywhere new. You’ll have to switch to ordinals if you want infinity+1 to be larger than infinity.

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    markjoseph125  over 4 years ago

    Actually, the proof that there is no largest prime number is fairly simple, and does not require induction. For example, Euclid, here: https://primes.utm.edu/notes/proofs/infinite/euclids.html

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    markjoseph125  over 4 years ago

    Or, better, here’s the proof the way I learned it:Suppose there were a largest prime number. Call it N. Now consider N! + 1. Clearly, N! + 1 does not have any number between 1 and N as a divisor. This means that either a) N! + 1 is prime, or b) N! + 1 has a prime divisor greater than N. In either case, we obtain a contradiction. Thus, there is no largest prime number.

    Here: http://everything2.com/title/Proof+that+there+is+no+largest+prime+number

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