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The Palgrave centenary companion to ...

Griffin, Nicholas,

The Palgrave centenary companion to Principia Mathematica /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Palgrave centenary companion to Principia Mathematica /edited by Nicholas Griffin and Bernard Linsky.
其他作者:	Griffin, Nicholas,
面頁冊數:	1 online resource (xxvii, 458 pages) :illustrations.
標題:	Logic, Symbolic and mathematical.
電子資源:	http://www.palgraveconnect.com/doifinder/10.1057/9781137344632
ISBN:	1137344636 (electronic bk.)

The Palgrave centenary companion to Principia Mathematica /
The Palgrave centenary companion to Principia Mathematica /edited by Nicholas Griffin and Bernard Linsky. - 1 online resource (xxvii, 458 pages) :illustrations. - History of analytic philosophy. - History of analytic philosophy..

Note on Citations -- Introduction: Nicholas Griffin and Bernard Linsky -- PART I: THE INFLUENCE OF PM -- 1. Principia Mathematica: The First Hundred Years; Alasdair Urquhart -- 2. David Hilbert and Principia Mathematica; Reinhard Kahle: -- 3. Principia Mathematica in Poland; Jan Wolenski -- PART II: RUSSELL'S PHILOSOPHY OF LOGIC AND LOGICISM -- 4. From Logicism to Metatheory; Patricia Blanchette -- 5. Russell on Real Variables and Vague Denotation; Edwin Mares -- 6. The Logic of Classes and the No-Class Theory; Byeong-uk Yi -- 7. Why There Is No Frege-Russell Definition of Number; Jolen Galaugher -- PART III: TYPE THEORY AND ONTOLOGY -- 8. Principia Mathematica: f! versus f;Gregory Landini -- 9. PM's Circumflex, Syntax and Philosophy of Types; Kevin Klement -- 10. Principia Mathematica, the Multiple-Relation Theory of Judgment and Molecular Facts; James Levine -- 11. Report on Some Ramified-Type Assignment Systems and Their Model-Theoretic Semantics; Harold Hodes -- 12. Outline of a Theory of Quantification; Dustin Tucker -- PART IV: MATHEMATICS IN PM -- 13. Whatever Happened to Group Theory?; Nicholas Griffin -- 14. Proofs of the Cantor-Bernstein Theorem in Principia Mathematica; Arie Hinkis -- 15. Quantity and Number in Principia Mathematica: A Plea for an Ontological Interpretation of the Application Constraint; Sebastien Gandon.

This collection of fifteen new essays marks the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell. The papers study the influence of PM on the development of symbolic logic in the twentieth century, Russell's philosophy of logic and his program of reducing mathematics to logic, the distinctive theory of logical types that provides a response to the paradoxes of logic that Russell and others discovered around 1900, as well as the details of some of the mathematical theories in the three volumes of symbolic proofs.

ISBN: 1137344636 (electronic bk.)

Source: 673001Palgrave Macmillanhttp://www.palgraveconnect.comSubjects--Personal Names:

177994
Russell, Bertrand,
1872-1970.Subjects--Topical Terms:

180452
Logic, Symbolic and mathematical.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA8.4

Dewey Class. No.: 510.1 / 23

The Palgrave centenary companion to Principia Mathematica /
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505 0 $a Note on Citations -- Introduction: Nicholas Griffin and Bernard Linsky -- PART I: THE INFLUENCE OF PM -- 1. Principia Mathematica: The First Hundred Years; Alasdair Urquhart -- 2. David Hilbert and Principia Mathematica; Reinhard Kahle: -- 3. Principia Mathematica in Poland; Jan Wolenski -- PART II: RUSSELL'S PHILOSOPHY OF LOGIC AND LOGICISM -- 4. From Logicism to Metatheory; Patricia Blanchette -- 5. Russell on Real Variables and Vague Denotation; Edwin Mares -- 6. The Logic of Classes and the No-Class Theory; Byeong-uk Yi -- 7. Why There Is No Frege-Russell Definition of Number; Jolen Galaugher -- PART III: TYPE THEORY AND ONTOLOGY -- 8. Principia Mathematica: f! versus f;Gregory Landini -- 9. PM's Circumflex, Syntax and Philosophy of Types; Kevin Klement -- 10. Principia Mathematica, the Multiple-Relation Theory of Judgment and Molecular Facts; James Levine -- 11. Report on Some Ramified-Type Assignment Systems and Their Model-Theoretic Semantics; Harold Hodes -- 12. Outline of a Theory of Quantification; Dustin Tucker -- PART IV: MATHEMATICS IN PM -- 13. Whatever Happened to Group Theory?; Nicholas Griffin -- 14. Proofs of the Cantor-Bernstein Theorem in Principia Mathematica; Arie Hinkis -- 15. Quantity and Number in Principia Mathematica: A Plea for an Ontological Interpretation of the Application Constraint; Sebastien Gandon.
520 $a This collection of fifteen new essays marks the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell. The papers study the influence of PM on the development of symbolic logic in the twentieth century, Russell's philosophy of logic and his program of reducing mathematics to logic, the distinctive theory of logical types that provides a response to the paradoxes of logic that Russell and others discovered around 1900, as well as the details of some of the mathematical theories in the three volumes of symbolic proofs.
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650 7 $a MATHEMATICS / Pre-Calculus $2 bisacsh $3 686904
650 7 $a MATHEMATICS / Reference $2 bisacsh $3 686905
655 0 $a Electronic books. $2 local. $3 214472
700 1 $a Griffin, Nicholas, $e editor of compilation. $3 686901
700 1 $a Linsky, Bernard, $e editor of compilation. $3 686902
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