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Topic: LOGIC & MATHEMATICS
Replies: 96   Last Post: Jun 6, 2013 5:19 AM

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LudovicoVan

Posts: 3,206
From: London
Registered: 2/8/08
Re: LOGIC & MATHEMATICS
Posted: May 28, 2013 9:17 AM
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"Zuhair" <zaljohar@gmail.com> wrote in message
news:f25c467c-7fc9-4d2d-bbaa-9e421f4fda30@w5g2000vbd.googlegroups.com...
> On May 27, 6:51 pm, Charlie-Boo <shymath...@gmail.com> wrote:
>> On May 26, 2:52 am, Zuhair <zaljo...@gmail.com> wrote:
>>

>> > Frege wanted to reduce mathematics to Logic
>>
>> What does it mean to "reduce mathematics to Logic"?

>
> It means that any mathematical discourse can be interpreted within a
> logical discourse.
>
> Logic is responsible for laying down a set of rules that results in
> generation of non contradictory statements in the most general manner.


Logic is not just mathematical logic: case in point, you can make of
identity an axiom, but the notion of identity itself presupposes an
existential stance, so it is not a purely logical notion (in the sense you
have just stated). My take is that mathematics uses logic (as the language
of mathematics is as well logical) and logic uses mathematics (as the
logical calculus is mathematical), but neither can be reduced to the other.
Mathematics is the study and applications of "numbers", which is not a
purely logical endeavour, while logic is the study and applications of
"rational discourse", which is not an essentially mathematical endeavour.

I'd think the only way to operate the "unification" you have in mind is by
reducing *everything* to just its operational side, the calculus: then there
is not even any difference left between logic and mathematics, indeed you'd
have destroyed the very nature of both.

Just my 2c, feedback welcome.

Julio



Date Subject Author
5/26/13
Read LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/26/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/26/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/26/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/26/13
Read Re: LOGIC & MATHEMATICS
Peter Percival
5/26/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/26/13
Read Re: LOGIC & MATHEMATICS
Peter Percival
5/26/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/26/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
Charlie-Boo
5/28/13
Read Re: LOGIC & MATHEMATICS
Charlie-Boo
5/26/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/27/13
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zuhair
5/27/13
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fom
5/27/13
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Zaljohar@gmail.com
5/27/13
Read Re: LOGIC & MATHEMATICS
fom
5/28/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/28/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/29/13
Read Re: LOGIC & MATHEMATICS
Peter Percival
5/30/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/30/13
Read Re: LOGIC & MATHEMATICS
Peter Percival
5/30/13
Read Re: LOGIC & MATHEMATICS
Peter Percival
5/30/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/31/13
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Peter Percival
5/30/13
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Bill Taylor
5/30/13
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Peter Percival
5/30/13
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Zaljohar@gmail.com
5/30/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/30/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/31/13
Read Re: LOGIC & MATHEMATICS
Peter Percival
5/31/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/31/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/31/13
Read Re: LOGIC & MATHEMATICS
fom
5/28/13
Read Re: LOGIC & MATHEMATICS
Peter Percival
5/28/13
Read Re: LOGIC & MATHEMATICS
namducnguyen
5/27/13
Read Re: LOGIC & MATHEMATICS
Charlie-Boo
5/27/13
Read Re: LOGIC & MATHEMATICS
fom
5/28/13
Read Re: LOGIC & MATHEMATICS
Charlie-Boo
5/28/13
Read Re: LOGIC & MATHEMATICS
fom
6/4/13
Read Re: LOGIC & MATHEMATICS
Charlie-Boo
6/4/13
Read Re: LOGIC & MATHEMATICS
fom
6/5/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/28/13
Read Re: LOGIC & MATHEMATICS
ross.finlayson@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/28/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/28/13
Read Re: LOGIC & MATHEMATICS
fom
5/29/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/29/13
Read Re: LOGIC & MATHEMATICS
fom
5/30/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/29/13
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fom
5/30/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/30/13
Read Re: LOGIC & MATHEMATICS
fom
5/31/13
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LudovicoVan
5/31/13
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Zaljohar@gmail.com
5/31/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/31/13
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ross.finlayson@gmail.com
6/1/13
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LudovicoVan
6/1/13
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namducnguyen
6/1/13
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ross.finlayson@gmail.com
6/2/13
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LudovicoVan
6/2/13
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ross.finlayson@gmail.com
6/3/13
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Shmuel (Seymour J.) Metz
6/3/13
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ross.finlayson@gmail.com
6/4/13
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LudovicoVan
6/4/13
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namducnguyen
6/4/13
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Peter Percival
6/5/13
Read Re: LOGIC & MATHEMATICS
Shmuel (Seymour J.) Metz
6/5/13
Read Re: LOGIC & MATHEMATICS
fom
6/6/13
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Peter Percival
5/31/13
Read Re: LOGIC & MATHEMATICS
fom
6/1/13
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LudovicoVan
6/1/13
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fom
6/2/13
Read Re: LOGIC & MATHEMATICS
ross.finlayson@gmail.com
6/2/13
Read Re: LOGIC & MATHEMATICS
fom
6/2/13
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Herman Rubin
6/2/13
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fom
6/2/13
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LudovicoVan
6/3/13
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Herman Rubin
6/3/13
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Peter Percival
6/4/13
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Herman Rubin
6/4/13
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Peter Percival
6/4/13
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Peter Percival
6/1/13
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fom
6/1/13
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LudovicoVan
6/1/13
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namducnguyen
6/5/13
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Peter Percival
6/1/13
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fom
6/2/13
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LudovicoVan
6/2/13
Read Re: LOGIC & MATHEMATICS
fom
5/28/13
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Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
Charlie-Boo
5/27/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
Charlie-Boo
5/30/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com

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