principles mathematics von russell bertrand (63 Ergebnisse)

Hardcover. Zustand: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less.

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Zustand: New. pp. 602 422:B&W 5.5 x 8.5 in or 216 x 140 mm (Demy 8vo) Perfect Bound on White w/Matte Lam.

Zustand: New. Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide.

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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

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Zustand: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:9780415487412.

Paperback. Zustand: Brand New. 1st edition. 640 pages. 8.50x5.43x1.69 inches. In Stock.

Zustand: New. 2009. 1st Edition. Paperback. Presents a comprehensive treatise on the logical foundation of mathematics. Series: Routledge Classics. Num Pages: 608 pages, black & white illustrations. BIC Classification: PBB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 217 x 139 x 44. Weight in Grams: 782. . . . . . Books ship from the US and Ireland.

Soft cover. Zustand: Very Good. xxxix, 534 p. : ill. ; 19 cm. ; LC: QA9; Dewey: 510.1 ; ISBN: 0393002497 (pbk.) :; 9780393002492 (pbk.) ; OCLC: 11741484 ; pictorial stiff paper wrappers ; Contents: Definition of pure mathematics -- The ten primitive propositions -- The Calculus o f Classes -- Three new indefinables -- The relation of an individual to its class -- The notion of such that -- Relation to propositional calculus -- The Calculus of Relations -- The logic of relations essential to mathematics -- Definition of distance -- Measurement of distances -- Infinity and continuity -- The supposed contradictions of infinity have been resolved -- Correlation of series -- Independent series and series by correlation -- New primitive propositions -- Mathematical and philosophical definitions -- Peano's indefinables -- Elementary definitions -- Peano's primitive propositions -- Negation and disjunction -- Existence and the nullclass -- Asserted and unasserted propositions -- Inference does not require two premisses - - Formal implication is to be interpreted extensionally -- A formal implication is a single propositional function not a relation of two -- Assertions -- Formal implication involved in rules of inference -- Terms -- Things and concepts -- Concepts a s such and as terms -- Conceptual diversity -- All verbs except perhaps is express relations -- Relations per se and relating relations -- Relations are not particularized by their terms -- Connection with subjectpredicate propositions -- Denoting concepts obtained from predicates -- Extensional account of all every any a and some -- Intensional account of the same -- The difference between all every etc lies in the objects denoted not in the way of denoting them -- The notion of the and definition -- The notion of the and identity -- Meaning of class -- Intensional and extensional genesis of classes -- The notion of and -- All men is not analyzable into all and men -- There are null class-concepts but there is no null class -- The class as one except when it has one term is distinct from the class as many -- Every any and some each denote one object but an ambiguous one -- The relation of inclusion between classes -- The contradiction -- Prepositional -- The variable -- Relations - - The contradiction -- Number -- Definition of cardinal numbers -- Addition and multiplication -- Finite and infinite -- Theory of finite numbers -- Addition of terms and addition of classes -- Whole and part -- Infinite wholes -- Ratios and fractions -- The meaning of magnitude -- The range of quantity -- Numbers as expressing magnitudes: measurement -- Zero -- Infinity, the infintesimal and continuity -- The genesis of series -- The meaning of order -- Asymmetrical relations -- Difference of sense and difference of sign -- On the difference between open and closed series -- Progressions and ordinal numbers -- Dedekind's theory of number -- Distance -- The correlation of series -- Real numbers -- Limits and irrational numbers -- Cantor' s first definition of continuity -- Ordinal continuity -- Transfinite cardinals -- Transfinite ordinals -- The infinitesimal calculus -- The inifinitesimal and the improper infinite -- Philosophical arguments concerning the infinitesimal -- The philosophy of the continuum -- The philosophy of the infinite -- Dimensions and complex numbers -- Projective geometry -- Descriptive geometry -- Metrical geometry -- Relation of metrical to projective and descriptive geometry -- Definitions of various spaces -- The continuity of space -- Logical arguments against points -- Kant's theory of space -- Matter -- Motion -- Causality -- Definition of a dynamical world -- Newton's laws of motion -- Absolute and relative motion -- Hertz' dynamics -- The logical and arithmetical doctrines of Frege -- The doctrine of types. ; store stamps ; clipped corner on front ep ; VG. Book.

Paperback. Zustand: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged.

Trade Paperback. Zustand: GOOD. Second Edition. xxxix, 534 pp. Personal spine label, tips rubbed, and a bit sunned, FFEP clipped. Sound, unmarked copy.

Paperback. Zustand: Brand New. reissue edition. 534 pages. 8.75x5.50x1.00 inches. In Stock.

Zustand: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions.

Paperback. Zustand: Brand New. 564 pages. 9.00x7.25x1.25 inches. In Stock.

Taschenbuch. Zustand: Sehr gut. Zust: Gutes Exemplar. Mit Vorbesitzereintrag. XXIX, 534 Seiten, Englisch 986g.

Paperback. Zustand: Brand New. 1st edition. 640 pages. 8.50x5.43x1.69 inches. In Stock.

Soft cover. Zustand: Very Good +. No Jacket. 1st Paperback Edition. Glazed pictorial card wrap with minor shelf wear to the spine and edges. Spine remains uncreased. No inscriptions, 576pp. Clean and bright pages throughout. (Any digital image available on request).

Zustand: NEW.

paperback edition. Zustand: Sehr gut. 534 pgs. Very good and clean copy. - Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics to be written in English. It set forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. Russell proposed simply that what is commonly called mathematics is merely later deductions from logical premisses. He outlined the thesis for which Principia Mathematica provided the detailed proof, and introduced the work of Frege to a wider audience. In addition to the new introduction by John G. Slater of the University of Toronto, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. / TABLE OF CONTENTS -- INTRODUCTION TO THE SECOND EDITION -- PREFACE -- PAGE -- V -- XV -- PART I -- THE INDEFINABLES OF MATHEMATICS -- CHAPTER I -- DEFINITION OF PURE MATHEMATICS -- Definition of pure mathematics -- The principles of mathematics are no longer controversial -- Pure mathematics uses only a few notions, and these are logical constants -- -- All pure mathematics follows formally from twenty premisses -- Asserts formal implications -- And employs variables -- Which may have any value without exception -- Mathematics deals with types of relations -- Applied mathematics is defined by the occurrence of constants which are not logical -- Relation of mathematics to logic -- CHAPTER II -- SYMBOLIC LOGIC -- Definition and scope of symbolic logic -- The indefinables of symbolic logic -- -- Symbolic logic consists of three parts -- A The Propositional Calculus -- Definition -- -- Distinction between implication and formal implication -- Implication indefinable -- Two indefinables and ten primitive propositions in this calculus -- PAGE -- The ten primitive propositions -- Disjunction and negation defined -- B The Calculus of Classes -- Three new indefinables -- The relation of an individual to its class -- Propositional functions -- The notion of such that -- Two new primitive propositions -- Relation to propositional calculus -- Identity -- C The Calculus of Relations -- The logic of relations essential to mathematics -- New primitive propositions -- Relative products -- Relations with assigned domains -- D Peano's Symbolic Logic -- Mathematical and philosophical definitions -- Peano's indefinables -- -- Elementary definitions -- Peano's primitive propositions -- Negation and disjunction -- Existence and the null-class -- CHAPTER III -- IMPLICATION AND FORMAL IMPLICATION -- Meaning of implication -- Asserted and unasserted propositions -- Inference does not require two premisses -- Formal implication is to be interpreted extensionally -- The variable in a formal implication has an unrestricted field -- A formal implication is a single propositional function, not a relation of two -- Assertions -- Formal implication involved in rules of inference -- Conditions that a term in an implication may be varied -- CHAPTER IV -- PROPER NAMES, ADJECTIVES AND VERBS -- Proper names, adjectives and verbs distinguished -- Terms -- Things and concepts -- Concepts as such and as terms -- Conceptual diversity -- Meaning and the subject-predicate logic -- Table of Contents -- xxvii -- Verbs and truth -- All verbs, except perhaps is, express relations -- Relations per se and relating relations -- Relations are not particularized by their terms -- Definition of denoting -- CHAPTER V -- DENOTING -- Connection with subject-predicate propositions -- Denoting concepts obtained from predicates -- Extensional account of all, every, any, a and some -- PAGE -- Intensional account of the same -- Illustrations -- The difference between all, every, etc lies in the objects denoted, not in the -- way of denoting them -- The notion of the and definition -- The notion of the and identity -- Summary -- CHAPTER VI -- CLASSES -- Combination of intensional and extensional standpoints required -- Meaning of class -- Intensional and extensional genesis of class -- Distinctions overlooked by Peano -- The class as one and as many -- The notion of and -- All men is not analyzable into all and men -- There are null class-concepts, but there is no null class -- The class as one, except when it has one term, is distinct from the class as many -- Every, any, a and some each denote one object, but an ambiguous one -- The relation of a term to its class -- The relation of inclusion between classes -- The contradiction -- Summary -- CHAPTER VII -- PROPOSITIONAL FUNCTIONS -- Indefinability of such that -- Where a fixed relation to a fixed term is asserted, a propositional function can be analyzed into a variable subject and a constant assertion -- But this analysis is impossible in other cases -- Variation of the concept in a proposition -- Relation of propositional functions to classes -- A propositional function is in general not analyzable into a constant and a variable element -- CHAPTER VIII -- THE VARIABLE -- Nature of the variable -- Relation of the variable to any -- Formal and restricted variables -- Formal implication presupposes any -- Duality of any and some -- The class-concept propositional function is indefinable -- Other classes can be defined by means of such that -- Analysis of the variable -- CHAPTER IX -- RELATIONS -- PAC -- Characteristics of relations -- Relations of terms to themselves -- The domain and the converse domain of a relation -- Logical sum, logical product and relative product of relations -- A relation is not a class of couples -- Relations of a relation to its terms -- CHAPTER X -- THE CONTRADICTION -- Consequences of the contradiction -- Various statements of the contradiction -- An analogous generalized argument -- Variable propositional functions are in general inadmissible -- The contradiction arises from treating as one a class which is only many -- Other primâ facie possible solutions appear inadequat.

Zustand: Good. Paperback, illustrated with numerous equations and diagrams, 8vo.; Name in pen on title page.

Zustand: New. KlappentextThe Principles of Mathematics: Vol. 1 is a terrific introduction to the fundamental concepts of mathematics. Although the book s title involves mathematics, it is not a textbook packed with equations and theorems. Instead ph.

Zustand: New. Bertrand Russell (1872-1970). A celebrated mathematician and logician, Russell was and remains one of the most genuinely widely read and popular philosophers of modern times.First published in 1903, Principles of Mathe.