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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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namducnguyen

Posts: 2,334
Registered: 12/13/04
Re: Rigorous Formal Mathematics
Posted: Mar 17, 2012 11:10 AM
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On 17/03/2012 8:54 AM, Frederick Williams wrote:
> Nam Nguyen wrote:
>
>>
>> Technically, of course, a formal system by definition is just an
>> axiom-set
>
> And rules, surely?

Sure. But one thing at a time, I was talking about the definition
of the axiom _set_ and not any inference from it. (Try not to argue
just only for argument sake).

> One can get by without axioms,

Incorrect, in FOL=: all axiom-sets must be non-empty.

--
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There is no remainder in the mathematics of infinity.

NYOGEN SENZAKI
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