The Resource Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu

Functions and generality of logic : reflections on Dedekind's and Frege's logicisms, Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu

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 Benis-Sinaceur, Marco Panza, Gabriel Sandu
Creator
Contributor
Author
Subject
Genre
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
Cataloging source
N$T
http://library.link/vocab/creatorName
Benis-Sinaceur, 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 Benis-Sinaceur, Marco Panza, Gabriel Sandu
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-17109-8
Instantiates
Publication
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
10.1007/978-3-319-17109-8
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 Benis-Sinaceur, Marco Panza, Gabriel Sandu
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-17109-8
Publication
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
10.1007/978-3-319-17109-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)911911992
  • (OCoLC)ocn911911992

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...