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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?
And without delay Peter went quickly out of the synagogue (assembly) and went unto the house of Marcellus, where Simon lodged: and much people followed him...And Peter turned unto the people that followed him and said: Ye shall now see a great and marvellous wonder. And Peter seeing a great dog bound with a strong chain, went to him and loosed him, and when he was loosed the dog received a man's voice and said unto Peter: What dost thou bid me to do, thou servant of the unspeakable and living God? Peter said unto him: Go in and say unto Simon in the midst of his company: Peter saith unto thee, Come forth abroad, for thy sake am I come to Rome, thou wicked one and deceiver of simple souls. And immediately the dog ran and entered in, and rushed into the midst of them that were with Simon, and lifted up his forefeet and in a loud voice said: Thou Simon, Peter the servant of Christ who standeth at the door saith unto thee: Come forth abroad, for thy sake am I come to Rome, thou most wicked one and deceiver of simple souls. And when Simon heard it, and beheld the incredible sight, he lost the words wherewith he was deceiving them that stood by, and all of them were amazed. (The Acts of Peter, 9)
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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: Fenrir-sign.jpg]
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#4
RE: Euclid proved that there are an infinite number of prime numbers.
I guess that seems obvious.
And without delay Peter went quickly out of the synagogue (assembly) and went unto the house of Marcellus, where Simon lodged: and much people followed him...And Peter turned unto the people that followed him and said: Ye shall now see a great and marvellous wonder. And Peter seeing a great dog bound with a strong chain, went to him and loosed him, and when he was loosed the dog received a man's voice and said unto Peter: What dost thou bid me to do, thou servant of the unspeakable and living God? Peter said unto him: Go in and say unto Simon in the midst of his company: Peter saith unto thee, Come forth abroad, for thy sake am I come to Rome, thou wicked one and deceiver of simple souls. And immediately the dog ran and entered in, and rushed into the midst of them that were with Simon, and lifted up his forefeet and in a loud voice said: Thou Simon, Peter the servant of Christ who standeth at the door saith unto thee: Come forth abroad, for thy sake am I come to Rome, thou most wicked one and deceiver of simple souls. And when Simon heard it, and beheld the incredible sight, he lost the words wherewith he was deceiving them that stood by, and all of them were amazed. (The Acts of Peter, 9)
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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
‘Let me never fall into the vulgar mistake of dreaming that I am persecuted whenever I am contradicted.’ Ralph Waldo Emerson
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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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