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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
‘I can’t be having with this.’ - Esmeralda Weatherwax
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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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