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Euclid proved that there are an infinite number of prime numbers.
#1
Euclid proved that there are an infinite number of prime numbers.
If so, why in ZFC is the Axiom of Infinity necessary?
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#2
RE: Euclid proved that there are an infinite number of prime numbers.
Quote:It guarantees the existence of at least one infinite set, namely a set containing the natural numbers.

https://en.wikipedia.org/wiki/Axiom_of_infinity
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#3
RE: Euclid proved that there are an infinite number of prime numbers.
[Image: disney-toy-story-lightyear-infinity-wall-sign.jpg]
[Image: extraordinarywoo-sig.jpg]
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#4
RE: Euclid proved that there are an infinite number of prime numbers.
I guess that seems obvious.
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#5
RE: Euclid proved that there are an infinite number of prime numbers.
I read a story while I was in high school about an accolate who wants to free his master from a prison (on Mars). The "combination" for the prison the highest prime number. Math wasn't my strong suit in high school. I did build good bombs.
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#6
RE: Euclid proved that there are an infinite number of prime numbers.
(March 13, 2021 at 11:04 am)Gawdzilla Sama Wrote: I did build good bombs.

Depositing stinky dumps in the toilet doesn't count.
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#7
RE: Euclid proved that there are an infinite number of prime numbers.
(March 13, 2021 at 11:11 am)Eleven Wrote:
(March 13, 2021 at 11:04 am)Gawdzilla Sama Wrote: I did build good bombs.

Depositing stinky dumps in the toilet doesn't count.

It kinda does, mate.

Boru
‘But it does me no injury for my neighbour to say there are twenty gods or no gods. It neither picks my pocket nor breaks my leg.’ - Thomas Jefferson
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#8
RE: Euclid proved that there are an infinite number of prime numbers.
(March 13, 2021 at 11:11 am)Eleven Wrote:
(March 13, 2021 at 11:04 am)Gawdzilla Sama Wrote: I did build good bombs.

Depositing stinky dumps in the toilet doesn't count.

You've never ate a dozen hard boiled eggs and cause an evacuation of a building I see.
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