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Topic: Then answer to Frege's two objections to formalism.
Replies: 17   Last Post: Apr 9, 2013 7:56 AM

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fom

Posts: 1,968
Registered: 12/4/12
Re: Then answer to Frege's two objections to formalism.
Posted: Apr 5, 2013 10:22 AM
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On 4/5/2013 8:47 AM, Zuhair wrote:
> On Apr 5, 2:25 pm, Zuhair <zaljo...@gmail.com> wrote:
>> I just want to argue that
>>
>> "Mathematics is analytic processing fictional or real"
>>

>

Zuhair,

In the link

http://plato.stanford.edu/entries/existence/#FreRusExiNotProInd

you can find the argument for the descriptivist theory of
names used to address the question of negative existentials.

In the link

http://plato.stanford.edu/entries/logic-free/

you will find the statement that classical logic presupposes
equivalence between denotation and existence. This comes
from the influence of Russellian description theory
and the analysis of negative existential statements.

This presuppostion is embraced in the axioms for first-order
logic given by

Ax(P(x)) -> P(t)

P(t) -> Ex(P(x))

The link on free logic will explain how it differs from
classical first-order logic in relation to names and
existential import.













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