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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Rigorous Formal Mathematics
Replies: 17   Last Post: Mar 17, 2012 3:29 PM

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Frederick Williams

Posts: 2,166
Registered: 10/4/10
Re: Rigorous Formal Mathematics
Posted: Mar 17, 2012 10:54 AM
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Nam Nguyen wrote:

>
> Technically, of course, a formal system by definition is just an
> axiom-set

And rules, surely? One can get by without axioms, but not without
rules, except in the case where every theorem is an axiom. (And in that
case one can replace the axiom

X

with the rule

emptyset
--------
X

.)

--
The next few little actual people come from any much larger number of
different POSSIBLE perspectives.

George Green, aka GEORGE GREEN

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