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Recommended Reading
Timothy
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Posted 03/30/08 - 08:01 PM:
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#11
I do not. Do you have an input on it?

I'll do a quick check of your recommendations before posting them here.

Thanks

Passed with Honors the Turing Test. Tendency to Halt.
7
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Posted 03/31/08 - 03:35 PM:
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#12
I've been reading it since a few days ago. It's the most thorough logic book I have ever seen (900 pages). Mathematical in focus, with little or no attention to philosophy. Still, it reads pretty nicely. I will need to spend more time on it before I comment further.
Deus Ith
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Posted 06/12/08 - 01:46 PM:
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#13
Hello guys. I'm new to the forums and sadly I haven't got the time to read deep into most of the posts in here, but I noticed you missed some of my favorite books which I think are quite useful for this list

* Introduction to Mathematical Statistics - Paul G. Hoel (an introductory book for statistics from a more theoretical than practical approach)
* Introduction to Probability Theory - Paul G. Hoel (idem but for probability)
* A first course in Probability - Sheldon Ross (instead, this book empathizes a "practice makes the master" point of view - has tons of problems to solve both practical and theorical, but still reviews all theory related to probability)
* Infinitesimal Calculus - Michael Spivak (a must read in my school)

cheers! grin
NeubergCrowley
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Posted 09/03/08 - 11:11 AM:
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#14
I honestly think the presentation should be more visually "weighted"- not all of these works are of anywhere near the same historical significance or influence.

Following that, I would strongly recommend that Frege (especially "Philosophy of Arithmatic") should be pushed front and center, as it not only was a hugely influential work in the Philosophy of Mathematics (Russell and Whitehead's also seminal work would be all but unimaginable without it), it crystallized much of the central methodology of Analytic Philosophy.
mickalos
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Posted 03/19/09 - 05:55 AM:
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#15
Logic by Wilfrid Hodges is a very good introduction. They used it to teach logic to first year undergrads at Oxford until last year.

and

The Possible and the Actual: Readings in the Metaphysics of Modality by Michael J. Loux (Ed.) is a useful collection of essays on the possible worlds interpretation of modal logic.
m07rkr
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Posted 05/25/09 - 05:32 PM:
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#16
Above
Hughes & Cresswell - An Introduction To Modal Logic
was mentioned. I would suggest going for
Hughes & Cresswell - An New Introduction To Modal Logic
instead as this includes their A Companion to Modal Logic.

Secondly, I'd also like to recommend Brian F. Chellas' Modal Logic - an introduction.
It is nicely written, does not require a mathematical background and has short, managable exercises.

Thirdly, if a Negative list should arise, I would like to warn about James Garson's Modal Logic for Philosophers; it contains a lot of philosophy, but as an introduction to especially first-order modal logic it's not very good at all. It uses atypical systems hard to identify with others in the literature and is typeset in a manner that makes it very hard to read. I, too, recommend Fitting and Mendelsohn's First-Order Modal Logic for a first introduction.

Finally, if a companion should be of interest, I recommend Blackwell's Guide to Philosophical Logic OVER Blackwell's Companion to Philosophical Logic, for what that's worth.
7
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Posted 05/25/09 - 10:11 PM:
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#17
I like the Chellas, too. It does more on Montague-Scott 'neighborhood semantics' than the others.

I give a negative recommendation to Computability and Logic by Burgess, Boolos, and Jeffrey. The number of typos is simply unprofessional.
7
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Posted 05/26/09 - 01:22 AM:
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#18
7 wrote:
I've been reading it since a few days ago. It's the most thorough logic book I have ever seen (900 pages). Mathematical in focus, with little or no attention to philosophy. Still, it reads pretty nicely. I will need to spend more time on it before I comment further.


Commenting further...

The proofs are a bit too stripped down for me. Some seem almost like what you'd find on metamath. I prefer that words are used sparingly, but a few words here and there are not a bad thing. Also the symbols get out of control. You have to look them up in the index all of the time because there are too many to keep track of.

Edited by 7 on 05/26/09 - 03:38 AM
Preposterous
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Posted 08/04/09 - 04:26 PM:
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#19
Hi. New to the forum. smiling face

Wondering if anyone can suggest an introductory book on the philosophy of math that is NOT written for academia but written for intelligent people with some math/philosophy background in a straight-forward no-nonsense fashion. Or perhaps a website which has these qualities.

Phillip Nero
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Posted 09/10/09 - 06:57 PM:
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#20
I do not believe that a listing of related logic texts is complete without the following:

> Immanuel Kant, Logic (compiled by Kant's student Jasche)

> Hegel, Science of Logic

> Frank P. Ramsey, Philosophical Papers (edited by D.H. Mellor); one of my heroes actually- partially edited Wittgenstein's Tractatus and was his friend. Died at 26. Boy wonder

> Geoffrey Hunter, Metalogic: Introduction to the Metatheory of Standard First-Order Logic



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