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The Resource Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya BenisSinaceur, Marco Panza, Gabriel Sandu, (electronic resource)
Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya BenisSinaceur, Marco Panza, Gabriel Sandu, (electronic resource)
Resource Information
The item Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya BenisSinaceur, Marco Panza, Gabriel Sandu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University 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, by Hourya BenisSinaceur, Marco Panza, Gabriel Sandu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University 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
 XXI, 125 p.
 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
 9783319171098
 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
 by Hourya BenisSinaceur, Marco Panza, Gabriel Sandu
 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
 http://library.link/vocab/creatorName
 BenisSinaceur, Hourya
 Image bit depth
 0
 LC call number
 BC1199
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Panza, Marco.
 Sandu, Gabriel.
 SpringerLink
 Series statement
 Logic, Epistemology, and the Unity of Science,
 Series volume
 37
 http://library.link/vocab/subjectName

 Philosophy (General)
 Logic
 Science
 Philosophy
 Logic
 History of Mathematical Sciences
 Philosophy of Science
 Label
 Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya BenisSinaceur, Marco Panza, Gabriel Sandu, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 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
 XXI, 125 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319171098
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319171098
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319171098
 Label
 Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya BenisSinaceur, Marco Panza, Gabriel Sandu, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 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
 XXI, 125 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319171098
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319171098
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319171098
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