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

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LudovicoVan

Posts: 3,201
From: London
Registered: 2/8/08
Re: LOGIC & MATHEMATICS
Posted: May 29, 2013 8:13 AM
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"fom" <fomJUNK@nyms.net> wrote in message
news:kOadnWJJuKCozzjMnZ2dnUVZ_qCdnZ2d@giganews.com...
> On 5/28/2013 8:17 AM, Julio Di Egidio wrote:
<snipped>

> Although generally ignored, Kant invoked a strict demarcation
> between logic and mathematics. Frege's logicism is essentially
> the idea that one can have "logical objects" and this had been
> one of the things that Kant had rejected.


Of course Kant rejected it: "logical object" is an oxymoron, what is rather
defended is just the original meaning of logic on a side and of mathematics
on the other. -- Then some would ask for definitions, which would make an
interesting aside, on definitions... Anyway, as a great book on the matter
of what logic is, I'd suggest P. F. Strawson, "Introduction to Logical
Theory" (along the lines of the analytic school, with great attention to
foundations and demarcations).

>> 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.

>
> This is exactly how I feel when I run into views
> that reject model theory. I am at a loss of how
> a "syntax only" view of mathematics is coherent.


Reductionism and scepticism, de-spiritualisation and weak thinking, etc.
etc.: since the advent of Hume, coherent with a systematic politics of the
demolition of western, then global rationality and culture. On this, here
is a very nice excerpt from D. C. Williams, "The Ground of Induction":
<http://web.maths.unsw.edu.au/~jim/williams.html>

(By the way, your news: links do not work, at least not for me.)

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
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Charlie-Boo
5/26/13
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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
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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
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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
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fom
6/5/13
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Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
Zaljohar@gmail.com
5/28/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/28/13
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ross.finlayson@gmail.com
5/28/13
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LudovicoVan
5/28/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/28/13
Read Re: LOGIC & MATHEMATICS
fom
5/29/13
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LudovicoVan
5/29/13
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fom
5/30/13
Read Re: LOGIC & MATHEMATICS
LudovicoVan
5/29/13
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fom
5/30/13
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LudovicoVan
5/30/13
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fom
5/31/13
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LudovicoVan
5/31/13
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5/31/13
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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
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fom
6/6/13
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Peter Percival
5/31/13
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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
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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
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fom
5/28/13
Read Re: LOGIC & MATHEMATICS
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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