The Mathematical Analysis of Logic

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ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.$S/5 ( download)

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Book Synopsis The Mathematical Analysis of Logic by : George Boole

Download or read book The Mathematical Analysis of Logic written by George Boole and published by . This book was released on 1847 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Analysis of Logic

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ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.53/5 ( download)

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Book Synopsis The Mathematical Analysis of Logic by : George Boole

Download or read book The Mathematical Analysis of Logic written by George Boole and published by . This book was released on 1847 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Analysis of Logic by George Boole, first published in 1948, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.

The Mathematical Analysis of Logic

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Publisher : Literary Licensing, LLC
ISBN 13 : 9781498167291
Total Pages : 86 pages
Book Rating : 4.92/5 ( download)

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Book Synopsis The Mathematical Analysis of Logic by : George Boole

Download or read book The Mathematical Analysis of Logic written by George Boole and published by Literary Licensing, LLC. This book was released on 2014-08-07 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is A New Release Of The Original 1847 Edition.

Foundations of Mathematical Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486134776
Total Pages : 450 pages
Book Rating : 4.72/5 ( download)

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Book Synopsis Foundations of Mathematical Analysis by : Richard Johnsonbaugh

Download or read book Foundations of Mathematical Analysis written by Richard Johnsonbaugh and published by Courier Corporation. This book was released on 2012-09-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.

Mathematical Logic through Python

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Publisher : Cambridge University Press
ISBN 13 : 1108957692
Total Pages : 286 pages
Book Rating : 4.94/5 ( download)

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Book Synopsis Mathematical Logic through Python by : Yannai A. Gonczarowski

Download or read book Mathematical Logic through Python written by Yannai A. Gonczarowski and published by Cambridge University Press. This book was released on 2022-07-31 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a unique pedagogical approach, this text introduces mathematical logic by guiding students in implementing the underlying logical concepts and mathematical proofs via Python programming. This approach, tailored to the unique intuitions and strengths of the ever-growing population of programming-savvy students, brings mathematical logic into the comfort zone of these students and provides clarity that can only be achieved by a deep hands-on understanding and the satisfaction of having created working code. While the approach is unique, the text follows the same set of topics typically covered in a one-semester undergraduate course, including propositional logic and first-order predicate logic, culminating in a proof of Gödel's completeness theorem. A sneak peek to Gödel's incompleteness theorem is also provided. The textbook is accompanied by an extensive collection of programming tasks, code skeletons, and unit tests. Familiarity with proofs and basic proficiency in Python is assumed.

A Tour Through Mathematical Logic

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Publisher : American Mathematical Soc.
ISBN 13 : 161444028X
Total Pages : 397 pages
Book Rating : 4.84/5 ( download)

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Book Synopsis A Tour Through Mathematical Logic by : Robert S. Wolf

Download or read book A Tour Through Mathematical Logic written by Robert S. Wolf and published by American Mathematical Soc.. This book was released on 2005-12-31 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Tour Through Mathematical Logic provides a tour through the main branches of the foundations of mathematics. It contains chapters covering elementary logic, basic set theory, recursion theory, Gödel's (and others') incompleteness theorems, model theory, independence results in set theory, nonstandard analysis, and constructive mathematics. In addition, this monograph discusses several topics not normally found in books of this type, such as fuzzy logic, nonmonotonic logic, and complexity theory.

Mathematical Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 1475723555
Total Pages : 290 pages
Book Rating : 4.57/5 ( download)

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Book Synopsis Mathematical Logic by : H.-D. Ebbinghaus

Download or read book Mathematical Logic written by H.-D. Ebbinghaus and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.

The Mathematical Analysis of Logic

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Publisher :
ISBN 13 : 9780802201546
Total Pages : 0 pages
Book Rating : 4.47/5 ( download)

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Book Synopsis The Mathematical Analysis of Logic by : George Boole

Download or read book The Mathematical Analysis of Logic written by George Boole and published by . This book was released on 1847 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Analysis of Logic

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Publisher : CreateSpace
ISBN 13 : 9781505487435
Total Pages : 90 pages
Book Rating : 4.39/5 ( download)

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Book Synopsis The Mathematical Analysis of Logic by : George Boole

Download or read book The Mathematical Analysis of Logic written by George Boole and published by CreateSpace. This book was released on 2014-12-11 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Symbolical Algebra, are aware, that the validity of the processes of analysis does not depend upon the interpretation of the symbols which are employed, but solely upon the laws of their combination. Every system of interpretation which does not affect the truth of the relations supposed, is equally admissible, and it is thus that the same process may, under one scheme of interpretation, represent the solution of a question on the properties of numbers, under another, that of a geometrical problem, and under a third, that of a problem of dynamics or optics. This principle is indeed of fundamental importance; and it may with safety be affirmed, that the recent advances of pure analysis have been much assisted by the inuence which it has exerted in directing the current of investigation. But the full recognition of the consequences of this important doctrine has been, in some measure, retarded by accidental circumstances. It has happened in every known form of analysis, that the elements to be determined have been conceived as measurable by comparison with some fixed standard. The predominant idea has been that of magnitude, or more strictly, of numerical ratio. The expression of magnitude, or of operations upon magnitude, has been the express object for which the symbols of Analysis have been invented, and for which their laws have been investigated. Thus the abstractions of the modern Analysis, not less than the ostensive diagrams of the ancient Geometry, have encouraged the notion, that Mathematics are essentially, as well as actually, the Science of Magnitude. The consideration of that view which has already been stated, as embodying the true principle of the Algebra of Symbols, would, however, lead us to infer that this conclusion is by no means necessary. If every exist ing interpretation is shewn to involve the idea of magnitude, it is only by induction that we can assert that no other interpretation is possible. And it may be doubted whether our experience is sufficient to render such an induction legitimate. The history of pure Analysis is, it may be said, too recent to permit us to set limits to the extent of its applications. Should we grant to the inference a high degree of probability, we might still, and with reason, maintain the sufficiency of the definition to which the principle already stated would lead us. We might justly assign it as the definitive character of a true Calculus, that it is a method resting upon the employment of Symbols, whose laws of combination are known and general, and whose results admit of a consistent interpretation. That to the existing forms of Analysis a quantitative interpretation is assigned, is the result of the circumstances by which those forms were determined, and is not to be construed into a universal condition of Analysis. It is upon the foundation of this general principle, that I purpose to establish the Calculus of Logic, and that I claim for it a place among the acknowledged forms of Mathematical Analysis, regardless that in its object and in its instruments it must at present stand alone. That which renders Logic possible, is the existence in our minds of general notions, "our ability to conceive of a class, and to designate its individual members by a common name. The theory of Logic" is thus intimately connected with that of Language. A successful attempt to Express logical propositions by symbols, the laws of whose combinations should be founded upon the laws of the mental processes which they represent, would, so far, be a step toward a philosophical language.

A Profile of Mathematical Logic

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Publisher : Courier Corporation
ISBN 13 : 0486139158
Total Pages : 322 pages
Book Rating : 4.59/5 ( download)

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Book Synopsis A Profile of Mathematical Logic by : Howard DeLong

Download or read book A Profile of Mathematical Logic written by Howard DeLong and published by Courier Corporation. This book was released on 2012-09-26 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.