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The Reality of Numbers : A Physicalist's Philosophy of Mathematics
ISBN: 9780198249573 / Angielski / Twarda / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new light on mathematics. He identifies natural, real, and imaginary numbers and sets with specified physical properties and relations and, by so doing, draws mathematics back from its sterile, abstract exile into the midst of the physical world.
Challenging the myth that mathematical objects can be defined into existence, Bigelow here employs Armstrong's metaphysical materialism to cast new li...
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976,44 zł |
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Set Theory with a Universal Set : Exploring an Untyped Universe
ISBN: 9780198514770 / Angielski / Twarda / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Increasing interest in set theory, particularly the possibility of a set of all sets ("universal set"), has been stimulated by its relevance to computer science. This new edition, drawing heavily on Quine's theories as introduced in New Foundations, provides an accessible introduction of universal set theory to mathematicians, logicians, and philosophers. Included are expanded accounts of the set theories of Church, Oswald and Mitchell, with descriptions of permutation models and extensions that preserve power
Increasing interest in set theory, particularly the possibility of a set of all sets ("universal set"), has been stimulated by its relevance to comput...
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518,73 zł |
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Cantorian Set Theory and Limitation of Size
ISBN: 9780198532835 / Angielski / Miękka / 343 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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.
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic fra...
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1403,62 zł |
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Cardinal Arithmetic
ISBN: 9780198537854 / Angielski / Twarda / 520 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmetic (or exponentiation, since addition and multiplication were classically solved), the hypothesis would be solved by the independence results of Godel, Cohen, and Easton, with some isolated positive results (like Gavin-Hajnal). Most mathematicians expect that only more independence results remain to be proved. In Cardinal Arithmetic, however, Saharon Shelah offers an alternative view. By redefining the hypothesis, he gets new results for the conventional cardinal arithmetic, finds new...
Is the continuum hypothesis still open? If we interpret it as finding the laws of cardinal arithmetic (or exponentiation, since addition and multiplic...
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1830,81 zł |
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Set Theory and its Philosophy : A Critical Introduction
ISBN: 9780199269730 / Angielski / Twarda / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer...
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics...
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1037,46 zł |
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Set Theory and its Philosophy : A Critical Introduction
ISBN: 9780199270415 / Angielski / Miękka / 360 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer...
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics...
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317,34 zł |
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A Course on Borel Sets
ISBN: 9780387984124 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc. It is well suited for graduate students exploring areas of mathematics for their research and for mathematicians requiring Borel sets and measurable selections in their work. It contains significant applications to other branches of mathematics and can serve as a self- contained reference accessible by mathematicians in many different disciplines. It is...
A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory...
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337,68 zł |
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Set Theory An Introduction To Independence Proofs
ISBN: 9780444868398 / Angielski / Twarda / 313 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded...
Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative...
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268,28 zł |
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Basic Set Theory
ISBN: 9780486420790 / Angielski / Miękka / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The...
Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level...
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114,48 zł |
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Combination of Finite Sets
ISBN: 9780486422572 / Angielski / Miękka / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. -An excellent text for a topics course in discrete mathematics.- -- Bulletin...
Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom e...
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91,54 zł |
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The Philosophy of Set Theory : An
ISBN: 9780486435206 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics.
As Cantor's sometime collaborator, David Hilbert, remarked, -No one will drive us from... A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled hi...
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68,60 zł |
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Introduction to the Theory of Sets
ISBN: 9780486453101 / Angielski / Miękka / 128 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from concrete finite sets to cardinal numbers, infinite cardinals, and ordinals.
Although set theory begins in the intuitive and the concrete, it ascends to a very high degree of abstraction. All that is necessary to its grasp, declares author Joseph Breuer, is patience. Breuer illustrates the grounding of finite sets in arithmetic, permutations, and combinations,... Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject thr...
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54,83 zł |
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Problems in Euclidean Space : Application of Convexity
ISBN: 9780486458465 / Angielski / Miękka / 165 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text for advanced undergraduates and graduate students examines problems concerning convex sets in real Euclidean spaces of 2 or 3 dimensions. It illustrates the different ways in which convexity can enter into the formulation as the solution to different problems in these spaces. 1957 edition.
This text for advanced undergraduates and graduate students examines problems concerning convex sets in real Euclidean spaces of 2 or 3 dimensions. It...
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cena:
54,83 zł |
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Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory
ISBN: 9780486462493 / Angielski / Miękka / 106 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text unites the logical and philosophical aspects of set theory in a manner intelligible both to mathematicians without training in formal logic and to logicians without a mathematical background. It combines an elementary level of treatment with the highest possible degree of logical rigor and precision.
Starting with an explanation of all the basic logical terms and related operations, the text progresses through a stage-by-stage elaboration that proves the fundamental theorems of finite sets. It focuses on the Bernays theory of finite classes and finite sets, exploring the system's... This text unites the logical and philosophical aspects of set theory in a manner intelligible both to mathematicians without training in formal logic ...
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45,65 zł |
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Toposes and Local Set Theories : An Introduction
ISBN: 9780486462868 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Topos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's concept of topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. A virtually self-contained introduction, this volume presents toposes as the models of theories -- known as local set theories -- formulated within a typed intuitionistic logic.
The introductory chapter explores elements of category theory, including limits and colimits,... Topos theory has led to unexpected connections between classical and constructive mathematics. This text explores Lawvere and Tierney's concept of ...
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77,77 zł |
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Combinatorics : Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability
ISBN: 9780521337038 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.
Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hyp...
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219,98 zł |
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An Introduction to Mathematical Reasoning : Numbers, Sets and Functions
ISBN: 9780521592697 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually...
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathema...
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cena:
515,13 zł |
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Set Theory
ISBN: 9780521593441 / Angielski / Twarda / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage, the book is based in large part on courses given over many years by Professor Hajnal. The first part introduces all the standard notions of the subject; the second part concentrates on combinatorial set theory. Exercises are included throughout and a new section of hints has been added to assist the reader.
This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage...
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cena:
829,97 zł |
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Set Theory for the Working Mathematician
ISBN: 9780521594653 / Angielski / Miękka / 252 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book begins with a tour of the basics of set theory, culminating in a proof of Zorn's Lemma and a discussion of some of its applications. The author then develops the notions of transfinite induction and descriptive set theory, with applications to the theory of real functions. The final part of the book presents the tools of "modern" set theory:...
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous app...
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cena:
311,19 zł |
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Set Theory
ISBN: 9780521596671 / Angielski / Miękka / 328 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage, the book is based in large part on courses given over many years by Professor Hajnal. The first part introduces all the standard notions of the subject; the second part concentrates on combinatorial set theory. Exercises are included throughout and a new section of hints has been added to assist the reader.
This is a classic introduction to set theory, suitable for students with no previous knowledge of the subject. Providing complete, up-to-date coverage...
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cena:
305,84 zł |
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