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0 is a number.
2. The immediate successor of a number is also a number.
3. 0 is not the immediate successor of any number.
4. No two numbers have the same immediate successor.
5. Any property belonging to 0 and to the immediate successor of any number that also has that property belongs to all numbers.
--
As expressed in Galileo's Finger: The Ten Great Ideas of Science (2003) by Peter Atkins, Ch. 10 "Arithmetic : The Limits of Reason", p. 333

 

Giuseppe Peano

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Zero is a number.
2. The successor of any number is another number.
3. There are no two numbers with the same successor.
4. Zero is not the successor of a number.
5. Every property of zero, which belongs to the successor of every number with this property, belongs to all numbers.

 

Giuseppe Peano

 

Orthodox Judaism has this amazing set of rules: everyday there's a bunch of strictures of things you're supposed to do, a bunch you're not supposed to do, and the number you're supposed to do is the same number as the number of bones in the body. The number that you're not supposed to do is the same number as the number of days in the year. The amazing thing is, nobody knows what the rules are! Talmudic rabbis have been scratching each others' eyes out for centuries arguing over which rules go into the 613. The numbers are more important than the content. It is sheer numerology.

 

Robert Sapolsky

 

He could remember the idiosyncrasies of numbers in an almost uncanny way. It was Littlewood who said that every positive integer was one of Ramanujan's personal friends. I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."

 

G. H. Hardy

 

He could remember the idiosyncrasies of numbers in an almost uncanny way. It was Littlewood who said that every positive integer was one of Ramanujan's personal friends. I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."

 

Srinivasa Ramanujan

 

This annoyed me: I was on the phone with somebody today tryin to get a phone number from that person and write it down, but they didn't have phone number rhythm and that pissed me off. You know what I'm talkin about? Phone number rhythm. Especially if there's like an area code involved, like 'two one two - bum bum buh - bum buh bum buh!' That is the rhythm I think we're all familiar with. This guy had no clue! I was like "Okay, Hank. Gimme the number." He's like "Alright. It's two one two nine - fifteen eight eleven six [mumbling incoherently] fou.. tw.. five.. eight.. seven.. two." "Did you throw in your zip code? Cause I got a lot of extra numbers over here. I have extra. I can almost start a new number! What do ya got?! Start again from the top!" They really screw you up on the last four numbers. That's where they get ya. "Five five five - six.. teen forty one" "Dude, I already wrote the six! I made the dash too close, I can't shimmy the one in there now! Forget you!"

 

Kevin James