
Re: § 454 Equality and the axioms of natural numbers
Posted:
Mar 20, 2014 5:35 PM


The real numbers can also be constructed from Peano's axioms. It should be possible to prove than no irrational number is equal to a natural number. Deny it if you want to look like a complete idiot, WM.
Dan Download my DC Proof 2.0 software at http://www.dcproof.com Visit my new math blog at http://www.dcproof.wordpress.com
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wrote in message news:efb92bea2b5745a8b25dfcf0c6ed60ea@googlegroups.com...
On Thursday, 20 March 2014 20:51:31 UTC+1, Dan Christensen wrote: > In formal proofs, your > axioms are your entire world. You cannot use any other "facts" no matter > how > "obvious" they might be.
Then let us know whether pi is a natural number  from the Peano axioms which, according to you, "fully capture the common intuition of the natural numbers". Do not use any other "facts". And don't answer that we have not yet pi. I have it, and many other readers of the Peano axioms have it too.
Regards, WM

