Principles of Mathematical Logic

Hilbert, David; Wilhelm Ackermann

Published by Chelsea Publishing Company, New York, 1950
Used Hardcover

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23.5 x 15.5 cm. 172pp [8 ads]. Black boards. English language translation of the second edition of Grundzüge der Theoretischen Logik. Name on front free endpaper. Seller Inventory # 77161

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Bibliographic Details

Title: Principles of Mathematical Logic
Publisher: Chelsea Publishing Company, New York
Publication Date: 1950
Binding: Hardcover
Condition: Very Good
Edition: First English Language edition.

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Enriques, Federigo
Published by Russell & Russell, New York, 1968
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Seller: Trouve Books, Cincinnati, OH, U.S.A.

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Hardcover. Condition: Good. Dust Jacket Condition: Good. Book is tight. Pages have highlighting and underlining. Jacket's condition is good with slight edge wear on back cover and one tear on front cover. The book which Mr. Rosenthal has undertaken to present to the English-reading public is not entirely an erudite history containing everything that has been written and thought about logic. Seller Inventory # TW243950

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Russell, Bertrand, 1872-1970.
ISBN 10: 0393002497 ISBN 13: 9780393002492
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Seller: Joseph Valles - Books, Stockbridge, GA, U.S.A.

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Soft cover. Condition: 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. Seller Inventory # 5467

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Hilbert, D. and W. Ackermann
Used Hardcover First Edition

Seller: BOOKFELLOWS Fine Books, ABAA, Sun City, AZ, U.S.A.

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First edition in English. Bookplate on the front pastedown endpaper, minor soiling to the covers, otherwise a very good copy; no dust jacket. This work is a translation into English of the second edition of the GRUNDZUGE DER THEORETISCHEN LOGIK, with revisions, corrections, and added notes by Robert E. Luce. 172 pages including editor's notes, bibliography, and an index. Hardcover. Seller Inventory # 736101

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Hilbert, D. and W. Ackermann
Published by Chelsea Publishing Company, 1950
Used Hardcover

Seller: Free Play Books, NEW HAVEN, CT, U.S.A.

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Hardcover. Condition: Good. Later printing. Octavo. xii, 172, [8] pp. Navy cloth lettered in gilt at spine. Spine-ends and corners frayed, rubbed and wear to extremities, no internal markings. Good+. Seller Inventory # 5072

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Enriques, Federigo
Used Hardcover First Edition

Seller: Evening Star Books, ABAA/ILAB, Madison, WI, U.S.A.

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Hardcover. Condition: Near Fine. First American edition. 8vo. [2], iii-xi, [5], 3-271, [3] pp. Maroon vertically-ribbed cloth with white lettering and two white rules on the spine. Authorized translation from the Italian by Jerome Rosenthal. A bookplate and a name on the front preliminaries. Seller Inventory # 000014178

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Hilbert and W. Ackermann
Published by Chelsea Publishing Company, 1950
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Seller: Neutral Balloon Books, Ardmore, PA, U.S.A.

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Hardcover. Condition: Good. Good condition. Previous owner's stamps and name on the first page. Text looks free of highlighting and underlining. Wear to the exterior. Light creasing on the first page. Seller Inventory # 012125025

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HILBERT, D. & ACKERMANN, W.
Published by Chelsea Publishing Co, New York, 1950
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Seller: B & L Rootenberg Rare Books, ABAA, Sherman Oaks, CA, U.S.A.

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FIRST EDITION IN ENGLISH. Original publisher's blue cloth, an excellent copy with the signature of Don Henze dated 1950. First English edition, a translation from the second edition of the original German with revisions, corrections, and added notes by Robert E. Luce. Hilbert (1862-1943) was a German mathematician who originated the concept known as Hilbert Space, which is used in pure mathematics and in classical and quantum field theory. Famous for his attempt to axiomatize mathematics, this is his classic treatment of symbolic logic. Seller Inventory # 16214

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Hilbert, D./ Ackermann, W.
Published by Chelsea Pub Co, 2022
ISBN 10: 147047056X ISBN 13: 9781470470562
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Seller: Revaluation Books, Exeter, United Kingdom

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Paperback. Condition: Brand New. 172 pages. 9.02x6.02x0.51 inches. In Stock. Seller Inventory # __147047056X

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LI WEI
ISBN 10: 7030200969 ISBN 13: 9787030200969
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Hardcover. Condition: New. Language:Chinese.Author:LI WEI.Binding:HardCover.Publisher:Science Press Pub. Date :2008-01-01. Seller Inventory # 861766

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