The Resource Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu, (electronic resource)

Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu, (electronic resource)

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 Benis-Sinaceur, Marco Panza, Gabriel Sandu
Creator
Contributor
Author
Provider
Subject
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 spatio-temporal 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
Member of
http://library.link/vocab/creatorName
Benis-Sinaceur, Hourya
Image bit depth
0
LC call number
BC1-199
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 Benis-Sinaceur, Marco Panza, Gabriel Sandu, (electronic resource)
Instantiates
Publication
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
10.1007/978-3-319-17109-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-17109-8
Label
Functions and Generality of Logic : Reflections on Dedekind's and Frege's Logicisms, by Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu, (electronic resource)
Publication
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
10.1007/978-3-319-17109-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-17109-8

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