Principles mathematical logic (80 résultats)

Hardcover. Etat : Good. Etat de la jaquette : 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.…

Paperback. Etat : new. Paperback. "Principles of Mathematical Logic" provides a foundational and rigorous exposition of the principles that underpin symbolic logic and its vital applications within the field of mathematics. Written by the legendary mathematician David Hilbert and his collaborator Wilhelm Ackermann, this work stands as one of the most influential texts in the history of modern logic, serving as a primary source for the development of formal mathematical thought.The book systematically develops the propositional calculus and the predicate calculus, offering precise definitions and exploring the essential structural properties of logical systems. Hilbert and Ackermann examine the critical concepts of consistency and completeness, laying the theoretical groundwork for what would become known as Hilbert's program. By formalizing the rules of deduction and the structure of mathematical proofs, the authors transformed logic from a branch of philosophy into a robust mathematical discipline.This text is an essential resource for students and scholars of mathematics, philosophy, and computer science. Its clear presentation of logical operations and the introduction of first-order logic have had a lasting impact on the evolution of mathematical foundations and the eventual rise of computational theory. It remains a cornerstone for anyone studying the development of rigorous logical analysis and the quest for a unified system of mathematical truth.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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

Paperback. Etat : New.

Etat : New.

Etat : New.

Paperback or Softback. Etat : New. The Historic Development of Logic: The Principles and Structure of Science in the Conception of Mathematical Thinkers. Book.

Etat : New.

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

Etat : As New. Unread book in perfect condition.

Hardcover. Etat : Good. xi, 271 pages. Publisher's scarlet cloth-covered boards good, faint wear to corners, sunning to spine; previous owner's signature at the head of the front free endpaper, underlining in pencil on a few pages, else contents good. 610 grams.

Etat : New.

Etat : New.

HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000.

HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000.

Etat : New.

Etat : As New. Unread book in perfect condition.

Hardcover. Etat : Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

Etat : Very Good. 172 pp., hardcover, very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Soft cover. Etat : 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.…

hardcover. Etat : Good. Black cloth with gilt on spine. Light foxing to endpages, text block clean but a little toned. Small mark to fore-edge. Minor wear to covers. Always securely packed. Professional booksellers since 1994. Satisfaction guaranteed.

hardcover. Etat : Good.

Taschenbuch. Etat : Neu. Neuware - 'Principles of Mathematical Logic' provides a foundational and rigorous exposition of the principles that underpin symbolic logic and its vital applications within the field of mathematics. Written by the legendary mathematician David Hilbert and his collaborator Wilhelm Ackermann, this work stands as one of the most influential texts in the history of modern logic, serving as a primary source for the development of formal mathematical thought.The book systematically develops the propositional calculus and the predicate calculus, offering precise definitions and exploring the essential structural properties of logical systems. Hilbert and Ackermann examine the critical concepts of consistency and completeness, laying the theoretical groundwork for what would become known as Hilbert's program. By formalizing the rules of deduction and the structure of mathematical proofs, the authors transformed logic from a branch of philosophy into a robust mathematical discipline.This text is an essential resource for students and scholars of mathematics, philosophy, and computer science. Its clear presentation of logical operations and the introduction of first-order logic have had a lasting impact on the evolution of mathematical foundations and the eventual rise of computational theory. It remains a cornerstone for anyone studying the development of rigorous logical analysis and the quest for a unified system of mathematical truth.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.…

Taschenbuch. Etat : Neu. Neuware - 'The Historic Development of Logic' is a profound exploration into the evolution of logical thought through the lens of mathematical reasoning. Written by the renowned mathematician and philosopher Federigo Enriques, this work examines the fundamental principles and the underlying structure of science as conceived by influential mathematical thinkers across history.…

Hardcover. Etat : 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.

Hardcover. Etat : Very Good. 1st Edition. 172 pp. Navy cloth, gold lettering spine. Binding and pages clean, page margins age-toned. VERY GOOD. First English translation from the second German edition. Book.

Hardcover. Etat : Gut. Transl. by L.M. Hammond, G.G. Leckie & F. Steinhardt. N.Y., Chelsea (1950). gr.8°. XII, 172 p. OCloth. Name on flyleaf, few pages with pencil underlinigs.

Hardcover. Etat : Good. No Jacket. Previous owner name on front free page; Plastic jacket is scuffed; This could have light cosmetic flaws, but remains in good condition. Secure packaging for safe delivery.

Paperback. Etat : new. Paperback. "Principles of Mathematical Logic" provides a foundational and rigorous exposition of the principles that underpin symbolic logic and its vital applications within the field of mathematics. Written by the legendary mathematician David Hilbert and his collaborator Wilhelm Ackermann, this work stands as one of the most influential texts in the history of modern logic, serving as a primary source for the development of formal mathematical thought.The book systematically develops the propositional calculus and the predicate calculus, offering precise definitions and exploring the essential structural properties of logical systems. Hilbert and Ackermann examine the critical concepts of consistency and completeness, laying the theoretical groundwork for what would become known as Hilbert's program. By formalizing the rules of deduction and the structure of mathematical proofs, the authors transformed logic from a branch of philosophy into a robust mathematical discipline.This text is an essential resource for students and scholars of mathematics, philosophy, and computer science. Its clear presentation of logical operations and the introduction of first-order logic have had a lasting impact on the evolution of mathematical foundations and the eventual rise of computational theory. It remains a cornerstone for anyone studying the development of rigorous logical analysis and the quest for a unified system of mathematical truth.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Paperback. Etat : Brand New. 172 pages. 9.02x6.02x0.51 inches. In Stock.