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The Resource Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya BenisSinaceur, Marco Panza, Gabriel Sandu
Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya BenisSinaceur, Marco Panza, Gabriel Sandu
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The item Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya BenisSinaceur, Marco Panza, Gabriel Sandu represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya BenisSinaceur, Marco Panza, Gabriel Sandu represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book examines three connected aspects of Frege's logicism: the differences between Dedekind's and Frege's interpretation of the term 'logic' and related terms and reflects on Frege's notion of function, comparing its understanding and the role it played in Frege's and Lagrange's foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege's, Ramsey's and Russell's view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind's and Frege's logicisms. The first chapter explains how, although he shares Frege's aim at substituting logical standards of rigor to intuitive imports from spatiotemporal experience into the deductive presentation of arithmetic, Dedekind had a different goal and used or invented different tools. The chapter highlights basic dissimilarities between Dedekind's and Frege's actual ways of doing and thinking. The second chapter reflects on Frege's notion of a function, in comparison with the notions endorsed by Lagrange and the followers of the program of arithmetization of analysis. It remarks that the foundational programs pursued by Lagrange and Frege are crucially different and based on a different idea of what the foundations of mathematics should be like. However, despite this contrast, the notion of function plays similar roles in the two programs, and this chapter emphasizes the similarities. The third chapter traces the development of thinking about Frege's program in the foundations of mathematics, and includes comparisons of Frege's, Russell's and Ramsey's views. The chapter discusses earlier papers written by Hintikka, Sandu, Demopoulos and Trueman. Although the chapter's main focus is on the notion of arbitrary correlation, it starts out by discussing some aspects of the connection between this notion and Dedekind Theorem
 Language
 eng
 Extent
 1 online resource.
 Contents

 Chapter 1: Is Dedekind a logicist?; Hourya Benis Sinaceur
 Chapter 2: Functions and Expressions; Marco Panza
 Chapter 3: Frege, Russell, Ramsey on arbitrary functions; Gabriel Sandu
 Isbn
 9783319171081
 Label
 Functions and generality of logic : reflections on Dedekind's and Frege's logicisms
 Title
 Functions and generality of logic
 Title remainder
 reflections on Dedekind's and Frege's logicisms
 Statement of responsibility
 Hourya BenisSinaceur, Marco Panza, Gabriel Sandu
 Subject

 Cantor, Georg, 18451918
 Cantor, Georg, 18451918
 Electronic books
 Frege, Gottlob, 18481925
 Frege, Gottlob, 18481925
 History of mathematics
 Logic
 Logic, Symbolic and mathematical
 Logic, Symbolic and mathematical
 MATHEMATICS  Logic
 Mathematical Theory
 Mathematics
 Philosophy
 Philosophy & Religion
 Philosophy of science
 Philosophy: logic
 Physical Sciences & Mathematics
 Algebraic functions
 Algebraic functions
 Algebraic logic
 Algebraic logic
 Language
 eng
 Summary
 This book examines three connected aspects of Frege's logicism: the differences between Dedekind's and Frege's interpretation of the term 'logic' and related terms and reflects on Frege's notion of function, comparing its understanding and the role it played in Frege's and Lagrange's foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege's, Ramsey's and Russell's view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind's and Frege's logicisms. The first chapter explains how, although he shares Frege's aim at substituting logical standards of rigor to intuitive imports from spatiotemporal experience into the deductive presentation of arithmetic, Dedekind had a different goal and used or invented different tools. The chapter highlights basic dissimilarities between Dedekind's and Frege's actual ways of doing and thinking. The second chapter reflects on Frege's notion of a function, in comparison with the notions endorsed by Lagrange and the followers of the program of arithmetization of analysis. It remarks that the foundational programs pursued by Lagrange and Frege are crucially different and based on a different idea of what the foundations of mathematics should be like. However, despite this contrast, the notion of function plays similar roles in the two programs, and this chapter emphasizes the similarities. The third chapter traces the development of thinking about Frege's program in the foundations of mathematics, and includes comparisons of Frege's, Russell's and Ramsey's views. The chapter discusses earlier papers written by Hintikka, Sandu, Demopoulos and Trueman. Although the chapter's main focus is on the notion of arbitrary correlation, it starts out by discussing some aspects of the connection between this notion and Dedekind Theorem
 Cataloging source
 N$T
 http://library.link/vocab/creatorName
 BenisSinaceur, Hourya
 Dewey number
 511.3
 Index
 no index present
 LC call number
 QA10
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Panza, Marco
 Sandu, Gabriel
 Series statement
 Logic, epistemology and the unity of science,
 Series volume
 volume 37
 http://library.link/vocab/subjectName

 Cantor, Georg
 Frege, Gottlob
 Cantor, Georg
 Frege, Gottlob
 Algebraic logic
 Algebraic functions
 Logic, Symbolic and mathematical
 MATHEMATICS
 Algebraic functions
 Algebraic logic
 Logic, Symbolic and mathematical
 Philosophy
 Mathematics
 Philosophy & Religion
 Physical Sciences & Mathematics
 Mathematical Theory
 Logic
 History of mathematics
 Philosophy of science
 Philosophy: logic
 Label
 Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya BenisSinaceur, Marco Panza, Gabriel Sandu
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Chapter 1: Is Dedekind a logicist?; Hourya Benis Sinaceur  Chapter 2: Functions and Expressions; Marco Panza  Chapter 3: Frege, Russell, Ramsey on arbitrary functions; Gabriel Sandu
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319171081
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319171098
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)911911992
 (OCoLC)ocn911911992
 Label
 Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya BenisSinaceur, Marco Panza, Gabriel Sandu
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Chapter 1: Is Dedekind a logicist?; Hourya Benis Sinaceur  Chapter 2: Functions and Expressions; Marco Panza  Chapter 3: Frege, Russell, Ramsey on arbitrary functions; Gabriel Sandu
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9783319171081
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319171098
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)911911992
 (OCoLC)ocn911911992
Subject
 Cantor, Georg, 18451918
 Cantor, Georg, 18451918
 Electronic books
 Frege, Gottlob, 18481925
 Frege, Gottlob, 18481925
 History of mathematics
 Logic
 Logic, Symbolic and mathematical
 Logic, Symbolic and mathematical
 MATHEMATICS  Logic
 Mathematical Theory
 Mathematics
 Philosophy
 Philosophy & Religion
 Philosophy of science
 Philosophy: logic
 Physical Sciences & Mathematics
 Algebraic functions
 Algebraic functions
 Algebraic logic
 Algebraic logic
Genre
Member of
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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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