Synopsis
Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided 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 Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics.
"synopsis" may belong to another edition of this title.
About the Author
Bertrand Russell
"About this title" may belong to another edition of this title.
Search results for Principles of Mathematics
Stock Image
Principles of Mathematics
Seller: Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
Seller rating 5 out of 5 stars
Condition: 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. Seller Inventory # Z1-W-002-01724
Buy Used
£ 36.01
Shipping:
£ 10.64
From United Kingdom to U.S.A.
Quantity: 1 available
Seller Image
The Principles of Mathematics
Seller: clickgoodwillbooks, Indianapolis, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: acceptable. Used - Acceptable: All pages and the cover are intact, but shrink wrap, dust covers, or boxed set case may be missing. Pages may include limited notes, highlighting, or minor water damage but the text is readable. Item may be missing bundled media. Seller Inventory # 3O6QXR0011GK_ns
Seller Image
The Principles of Mathematics
Seller: Books Written By (PBFA Member), Northampton, NTH, United Kingdom
Seller rating 5 out of 5 stars
Soft cover. Condition: 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). Seller Inventory # 022408
Seller Image
The Principles of Mathematics
Seller: Fundus-Online GbR Borkert Schwarz Zerfaß, Berlin, Germany
Seller rating 5 out of 5 stars
paperback edition. Condition: 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 extension. Seller Inventory # 1253810
Stock Image
Principles of Mathematics
Print on DemandSeller: Majestic Books, Hounslow, United Kingdom
Seller rating 4 out of 5 stars
Condition: New. pp. 576 This item is printed on demand. Seller Inventory # 7463754
Stock Image
Principles of Mathematics
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 1405189
Stock Image
Principles of Mathematics
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. pp. 576 3rd Edition. Seller Inventory # 26416917
Stock Image
Principles of Mathematics
Published by
Taylor & Francis Ltd, United Kingdom, London, 1992
ISBN 10: 0415082994
ISBN 13: 9780415082990
Used
Paperback
Seller: WorldofBooks, Goring-By-Sea, WS, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Very Good. Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided 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 Slater, this edition contains Russell's introduction to the 1937 edition in which he defends his position against his formalist and intuitionist critics. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Seller Inventory # GOR002316560
Stock Image
Principles of Mathematics
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 1405189-n
Stock Image
Principles of Mathematics
Published by
Taylor & Francis Ltd, 1992
ISBN 10: 0415082994
ISBN 13: 9780415082990
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days. 936. Seller Inventory # B9780415082990