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Topic: § 454 Equality and the axioms of natural numbers
Replies: 30   Last Post: Mar 23, 2014 2:41 PM

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 Dan Christensen Posts: 8,219 Registered: 7/9/08
Re: § 454 Equality and the axioms of natural numbers
Posted: Mar 20, 2014 4:05 PM

You can draw pretty pictures if you like, but they are something of a
dead-end. You really need some kind of formal axioms stated in the language
of formal logic and set theory, if your intention is rigorously prove things
about the natural numbers. As a starting point for number theory, there is
still none better than Peano's 5 simple axioms.

Dan
Visit my new math blog at http://www.dcproof.wordpress.com

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wrote in message

[snip WM's posting]

In the end the natural numbers is just named/symboled hashmarks that have
order, thus a sucessor and predecessor. But one only have sucessor.

Everything else is just anal excercises.

Not even a number 0
|=1
||=2
|||=3
||||=4
|||||=5
||||||=6
|||||||=7
||||||||=8
|||||||||=9