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61. Set Theory, Logic, and Their Limitations.
 
62. John Von Neumann: Collected Works,
 
63. Selected Essays on the History
 
64. Categorical foundations of set
 
65. Collected Works: Logic, Theory
 
66. Selected essays on the history
 
67. Collected Works, Volume I, Logic,
68. T-norm: Mathematics, Binary Operation,
 
69. Problems in Set Theory, Mathematical
 
70. Mathematical Logic and Foundations
 
71. Mathematical Logic and Foundations
 
72. Set theory and its logic
 
73. Mathematical logic and foundations
 
74. An Introduction to Fuzzy Set Theory
75. Quantum Logic: Quantum logic,
 
76. Set theory and its logic
 
77. Mathematical logic and axiomatic
 
$79.99
78. Toposes and Local Set Theories:
79. Foundations of Set Theory, Second
$121.20
80. Cantorian Set Theory and Limitation

61. Set Theory, Logic, and Their Limitations.
by Moshe Machover
 Paperback: Pages

Asin: B000UY7U0O
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62. John Von Neumann: Collected Works, Volume I: Logic, Theory of Sets and Quantum Mechanics
by JOHN VON NEUMANN
 Hardcover: 654 Pages (1961)

Asin: B0016BPF2A
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Editorial Review

Product Description
VOLUME 1 OF THIS CLASSIC SIX VOLUME SET OF THE WORKS OF THE BRILLIANT VON NEUMANN. 654 PAGES. ... Read more


63. Selected Essays on the History of Set Theory and Logics, 1906-18 (Instrumenta Rationis: Sources for the History of Logic in the Modern Age)
by Philip E.B. Jourdain
 Hardcover: 352 Pages (1991-12)

Isbn: 888091183X
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64. Categorical foundations of set theory and logic
by F. W Lawvere
 Unknown Binding: 210 Pages (1992)

Asin: B0006RIRPC
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65. Collected Works: Logic, Theory of Sets, and Quantum Mechanics v. 1
by John Von Neumann
 Hardcover: 664 Pages (1963-12)

Isbn: 0080095674
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66. Selected essays on the history of set theory and logics (1906-1918) (Instrumenta rationis)
by Philip E. B Jourdain
 Unknown Binding: 352 Pages (1991)

Asin: B0006F0824
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67. Collected Works, Volume I, Logic, Theory of Sets and Quantum Mechanics
 Unknown Binding: 654 Pages

Asin: B000IBBTF6
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68. T-norm: Mathematics, Binary Operation, Probabilistic Metric Space, Multi-valued Logic, Fuzzy Logic, Intersection (set theory), Lattice (order), Logical Conjunction, Logic
Paperback: 96 Pages (2010-01-12)
list price: US$49.00
Isbn: 6130347294
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Editorial Review

Product Description
High Quality Content by WIKIPEDIA articles! In mathematics, a t-norm (also T-norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces and in multi-valued logic, specifically in fuzzy logic. A t-norm generalizes intersection in a lattice and conjunction in logic. The name triangular norm refers to the fact that in the framework of probabilistic metric spaces t-norms are used to generalize triangle inequality of ordinary metric spaces. ... Read more


69. Problems in Set Theory, Mathematical Logic and the Theory of Algorithms (University Series in Mathematics (Plenum Press).)
by Jonathan L. Swift I. A. Lavrov
 Paperback: Pages (2003)

Asin: B000OSRK5G
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70. Mathematical Logic and Foundations of Set Theory: Proceedings of an Internationa
by International Mathematical Union; Akademyah Ha-Leumit Ha-Yisreelit Le-Madaim; Ei
 Hardcover: Pages (1970-01-01)

Asin: B002IXMJPG
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71. Mathematical Logic and Foundations of Set Theory: Proceedings of an Internationa
 Unknown Binding: Pages (1970-01-01)

Asin: B002DF5YDI
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72. Set theory and its logic
b
 Unknown Binding: 359 Pages (1963)

Asin: B0000CM2W9
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73. Mathematical logic and foundations of set theory: Proceedings of an internationa
by Editor-Yehosha Bar-Hillel
 Hardcover: Pages (1970-01-01)

Asin: B002JSR37O
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74. An Introduction to Fuzzy Set Theory and Fuzzy Logic
by Chander Mohan
 Hardcover: 352 Pages (2009-04-15)
list price: US$100.00
Isbn: 184829025X
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Editorial Review

Product Description
There are several books available on Fuzzy Set Theory and Fuzzy Logic, however most of them are written by engineers and scientists with a specialised set of readers in mind. However this book has been written with a general type of reader in mind who, to begin with, does not have any specific applications of the subject in mind while starting to study the subject as a scientific discipline in its own right.

The book presents the basic rudiments of fuzzy set theory and fuzzy logic in a manner in which other topics of basic mathematics, such as set theory, algebra and calculus etc are usually presented. No specialised knowledge of any engineering discipline or other subject is expected of the reader. Effort has been made to tread the middle path, which avoids the extremes of abstract mathematical proofs and the specialised technical details of the areas of application. The author has taught this subject to undergraduate and postgraduate engineering and mathematics students for many years and has also used it in his research work related to the development of computational algorithms for solving real life optimisation problems.

Contents:

1. Introduction
2. Fuzzy Sets
3. Operations on Fuzzy Sets
4. Fuzzy Numbers
5. Fuzzy Relations and Fuzzy Graphs
6. Fuzzy Functions and Calculus of Fuzzy Functions
7. Fuzzy Measures and Measures of Fuzziness
8. Evidence Theory, Possibility Theory and Probability theory
9. Linguistic Variables, Fuzzy Rules and fuzzy Propositions
10. Fuzzy Logic and Approximate Reasoning
11. Construction of Fuzzy Sets and Defuzzification
12. Decision Making in a Fuzzy Environment
13. Fuzzy Rules Based Models and Fuzzy Systems
14. Engineering and Other Applications
Also available:

Modern Mathematical Models, Methods And Algorithms for Real World Systems - ISBN 1904798640
Bayesian Statistics And Its Applications - ISBN 190574000X

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We publish in a wide range of fields, including:-

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Statistics ... Read more


75. Quantum Logic: Quantum logic, Mathematical formulation of quantum mechanics, Multi-valued logic, Quasi-set theory, HPO formalism, Quantum field theory, ... George Mackey, Self-adjoint operator
Paperback: 88 Pages (2009-07-27)
list price: US$49.00
Isbn: 6130022719
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Editorial Review

Product Description
Quantum logic. Mathematical formulation of quantum mechanics, Multi-valued logic, Quasi-set theory, HPO formalism, Quantum field theory, Garrett Birkhoff, John von Neumann, George Mackey, Self-adjoint operator, Boolean algebra (structure). ... Read more


76. Set theory and its logic
b
 Unknown Binding: 361 Pages (1969)

Isbn: 0196266106
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77. Mathematical logic and axiomatic set theory: 116a lecture notes
by A. S Kechris
 Unknown Binding: 250 Pages (1980)

Asin: B0006XV48S
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78. Toposes and Local Set Theories: An Introduction (Oxford Logic Guides)
by J. L. Bell
 Hardcover: 280 Pages (1988-10-06)
list price: US$85.00 -- used & new: US$79.99
(price subject to change: see help)
Asin: 0198532741
Average Customer Review: 2.5 out of 5 stars
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Editorial Review

Product Description
The author introduces Lawvere and Tierney's concept of topos theory, a striking development in category theory that unites a number of important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic.Topos theory has led to the forging of surprising new links between classical and constructive mathematics. Bell presents toposes as the models of theories--the so-called local set theories--formulated within a typed intuitionistic logic. ... Read more

Customer Reviews (2)

2-0 out of 5 stars Baffling
I have a maths degree, I've done some Set Theory, and I've had some exposure to Category Theory from a Computer Science perspective. But I really struggled trying to read this!

If you're looking for "Toposes for Dummies" (and I still am!), this isn't it.

3-0 out of 5 stars 57 is Grothendeick's prime
The Bourbaki structuralist approach is said by Amir C, Aczel to be:
"overly formal . too abstract. and much more rigorous than necessary. thus making it unnecessarily difficult to read and understand mathematics."
My immediate reaction / objection to this book is that this level of abstraction removes categories from the 'real world' reference of a new mathematics for ordinary people. For this approach to be effective one must already have had set theory, algebraic theory, symbolic logic and specifically for this book, the theory of topological neighborhoods.
Those qualifications put this approach to category theory above what is taught to graduates in the physical sciences in general and removes it to graduates( or very advanced undergraduates) in mathematics alone.
I don't think this could be what Grothendieck had in mind
when he wanted to put category theory in the place of set theory
as the base of mathematics in teaching.
I'll give an example of the kind this author fails vividly to give!
Category:
mathematics authors
sub categories:
1) humanist
2) antihumanist ( structuralist)
arrows:
1) theoretical examples
2) concrete examples
Now to make a Lewis Carroll ( Charles Dodgson) type sentence using
this:
A mathematics author is an antihumanist if the only examples he gives in his text are theoretical examples.
A mathematics author is an humanist if he gives both theoretical and concrete examples.
I'll let you figure out in which category I think J. L. Bell belongs.


... Read more


79. Foundations of Set Theory, Second Edition (Studies in Logic and the Foundations of Mathematics)
by A.A. Fraenkel, Y. Bar-Hillel, A. Levy
Hardcover: 412 Pages (1973-12-15)
list price: US$148.00
Isbn: 0720422701
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Editorial Review

Product Description
Hardbound. ... Read more


80. Cantorian Set Theory and Limitation of Size (Oxford Logic Guides)
by Michael Hallett
Paperback: 343 Pages (1986-12-18)
list price: US$175.00 -- used & new: US$121.20
(price subject to change: see help)
Asin: 0198532830
Average Customer Review: 5.0 out of 5 stars
Canada | United Kingdom | Germany | France | Japan
Editorial Review

Product Description
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity.The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory. ... Read more

Customer Reviews (1)

5-0 out of 5 stars By far the BEST book on the development of Cantor's ideas.
This is BY FAR the best and most INTERESTING book available on how Cantor developed his key ideas about transfinite sets, large cardinals, ordinals etc.It contains materials that will be highly relevant to even the most advanced set theorists, while yet managing to be generally accessible to those who, like myself, have only around a B.S. mathematics degree level ofunderstanding of the field.This ability to be of use and interest to readers with such widely varied mathematical preparations is a true tribute to the author's gift for being able to explain even very advanced concepts clearly and directly, something which is evident throughout the text, -- and unfortunately sorely missing in most mathematical texts operating at such a high level of abstraction.To be a bit more precise, I hope, persons with only a basic understanding of set theory -- something around what one should be able to glean from reading, say, Halmos' "Naive Set Theory" -- will indeed find themselves "out at sea" at times, but actually surprisingly FEW times, considering how well the author manages to unpack most of the key concepts and draw you back into the primary narrative.No doubt because this book is so much better than all its competitors, used copies, even the paperbacks, are now selling for a small fortune.[I kid you not, I just saw one listed at over $990!; though a few minutes of searching the main web book seller consolidators -- including the listings here at Amazon -- should still bag you one for under $100, at least if you act reasonably soon.]Clearly the publisher really needs to reissue this work to meet the fully justified demand!When and if they will do so, -- after all, it was last released, in its one and only paperback edition, in 1986! -- is anybody's guess.So, if you are a Cantor scholar, or a serious set theorist of any persuasion, you should probably bite the bullet and buy one now before the price really goes through the roof and you have to rely on marked-up, slowly disappearing library copies, -- until, that is, they all get stolen and resold on the web, which has happened to several classic math works already.One last thing, for those who don't really need the most sophisticated work on Cantor's intellectual development, Joseph Dauben's biography of Cantor is also very good and still widely available at a reasonable price.[His biography of Abraham Robinson is also very good by the way.] ... Read more


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