skip to content
Functions and generality of logic : reflections on Dedekind's and Frege's logicisms Preview this item
ClosePreview this item
Checking...

Functions and generality of logic : reflections on Dedekind's and Frege's logicisms

Author: Hourya Benis-Sinaceur; Marco Panza; Gabriel Sandu
Publisher: Cham : Springer, 2015.
Series: Logic, epistemology and the unity of science, v. 37.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Named Person: Georg Cantor; Gottlob Frege; Georg Cantor; Gottlob Frege
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hourya Benis-Sinaceur; Marco Panza; Gabriel Sandu
ISBN: 9783319171098 3319171097 3319171089 9783319171081
OCLC Number: 911911992
Description: 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.
Series Title: Logic, epistemology and the unity of science, v. 37.
Responsibility: Hourya Benis-Sinaceur, Marco Panza, Gabriel Sandu.

Abstract:

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  Read more...

Reviews

Editorial reviews

Publisher Synopsis

"This book brings together three independently written but complementary contributions on logicism by three experienced specialists. ... All in all, the book contributes to an enhanced understanding Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/911911992> # Functions and generality of logic : reflections on Dedekind's and Frege's logicisms
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "911911992" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
    rdfs:comment "Warning: This malformed URI has been treated as a string - 'https://ebookcentral.proquest.com/lib/unt/detail.action?docID=2096187";'" ;
    schema:about <http://experiment.worldcat.org/entity/work/data/2452356769#Topic/mathematics_logic> ; # MATHEMATICS--Logic
    schema:about <http://dewey.info/class/511.3/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/2452356769#Person/frege_gottlob_1848_1925> ; # Gottlob Frege
    schema:about <http://experiment.worldcat.org/entity/work/data/2452356769#Topic/algebraic_functions> ; # Algebraic functions
    schema:about <http://experiment.worldcat.org/entity/work/data/2452356769#Topic/logic_symbolic_and_mathematical> ; # Logic, Symbolic and mathematical
    schema:about <http://experiment.worldcat.org/entity/work/data/2452356769#Person/cantor_georg_1845_1918> ; # Georg Cantor
    schema:about <http://experiment.worldcat.org/entity/work/data/2452356769#Topic/algebraic_logic> ; # Algebraic logic
    schema:author <http://experiment.worldcat.org/entity/work/data/2452356769#Person/sandu_gabriel> ; # Gabriel Sandu
    schema:author <http://experiment.worldcat.org/entity/work/data/2452356769#Person/benis_sinaceur_hourya> ; # Hourya Benis-Sinaceur
    schema:author <http://experiment.worldcat.org/entity/work/data/2452356769#Person/panza_marco> ; # Marco Panza
    schema:bookFormat schema:EBook ;
    schema:datePublished "2015" ;
    schema:description "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."@en ;
    schema:description "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."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/2452356769> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2452356769#Series/logic_epistemology_and_the_unity_of_science> ; # Logic, epistemology and the unity of science ;
    schema:isPartOf <http://worldcat.org/issn/2214-9783> ; # Logic, epistemology and the unity of science,
    schema:isSimilarTo <http://worldcat.org/entity/work/data/2452356769#CreativeWork/> ;
    schema:name "Functions and generality of logic : reflections on Dedekind's and Frege's logicisms"@en ;
    schema:productID "911911992" ;
    schema:url <https://link.springer.com/10.1007/978-3-319-17109-8> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=2096187> ;
    schema:url <http://ebookcentral.proquest.com/lib/ucm/detail.action?docID=2096187> ;
    schema:url <http://trmproxy.mnpals.net/login?url=http://dx.doi.org/10.1007/978-3-319-17109-8> ;
    schema:url <http://www.myilibrary.com?id=803714> ;
    schema:url <https://library.smu.ca/login?url=http://link.springer.com/10.1007/978-3-319-17109-8> ;
    schema:url <https://login.libproxy.uregina.ca:8443/login?url=https://link.springer.com/openurl?genre=book&isbn=978-3-319-17108-1> ;
    schema:url <https://login.proxy.lib.strath.ac.uk/login?url=http://link.springer.com/10.1007/978-3-319-17109-8> ;
    schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-319-17108-1> ;
    schema:url <http://dx.doi.org/10.1007/978-3-319-17109-8> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1017895> ;
    schema:url <http://proxy.library.carleton.ca/login?url=http://books.scholarsportal.info/viewdoc.html?id=/ebooks/ebooks3/springer/2017-08-17/6/9783319171098> ;
    schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-319-17108-1> ;
    schema:url <https://ebookcentral.proquest.com/lib/buffalo/detail.action?docID=2096187> ;
    schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-17109-8> ;
    schema:url "https://ebookcentral.proquest.com/lib/unt/detail.action?docID=2096187";" ;
    schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/book/10.1007/978-3-319-17109-8> ;
    schema:url <http://proxy.library.carleton.ca/login?url=http://link.springer.com/10.1007/978-3-319-17109-8> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-319-17109-8> ;
    schema:workExample <http://worldcat.org/isbn/9783319171098> ;
    schema:workExample <http://worldcat.org/isbn/9783319171081> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/911911992> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2452356769#Person/benis_sinaceur_hourya> # Hourya Benis-Sinaceur
    a schema:Person ;
    schema:familyName "Benis-Sinaceur" ;
    schema:givenName "Hourya" ;
    schema:name "Hourya Benis-Sinaceur" ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Person/cantor_georg_1845_1918> # Georg Cantor
    a schema:Person ;
    schema:birthDate "1845" ;
    schema:deathDate "1918" ;
    schema:familyName "Cantor" ;
    schema:givenName "Georg" ;
    schema:name "Georg Cantor" ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Person/frege_gottlob_1848_1925> # Gottlob Frege
    a schema:Person ;
    schema:birthDate "1848" ;
    schema:deathDate "1925" ;
    schema:familyName "Frege" ;
    schema:givenName "Gottlob" ;
    schema:name "Gottlob Frege" ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Person/panza_marco> # Marco Panza
    a schema:Person ;
    schema:familyName "Panza" ;
    schema:givenName "Marco" ;
    schema:name "Marco Panza" ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Person/sandu_gabriel> # Gabriel Sandu
    a schema:Person ;
    schema:familyName "Sandu" ;
    schema:givenName "Gabriel" ;
    schema:name "Gabriel Sandu" ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Series/logic_epistemology_and_the_unity_of_science> # Logic, epistemology and the unity of science ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/911911992> ; # Functions and generality of logic : reflections on Dedekind's and Frege's logicisms
    schema:name "Logic, epistemology and the unity of science ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Topic/algebraic_functions> # Algebraic functions
    a schema:Intangible ;
    schema:name "Algebraic functions"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Topic/logic_symbolic_and_mathematical> # Logic, Symbolic and mathematical
    a schema:Intangible ;
    schema:name "Logic, Symbolic and mathematical"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2452356769#Topic/mathematics_logic> # MATHEMATICS--Logic
    a schema:Intangible ;
    schema:name "MATHEMATICS--Logic"@en ;
    .

<http://link.springer.com/openurl?genre=book&isbn=978-3-319-17108-1>
    rdfs:comment "Springer eBooks (Humanities, Social Science and Law 2015)" ;
    .

<http://worldcat.org/entity/work/data/2452356769#CreativeWork/>
    a schema:CreativeWork ;
    schema:description "Printed edition:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/911911992> ; # Functions and generality of logic : reflections on Dedekind's and Frege's logicisms
    .

<http://worldcat.org/isbn/9783319171081>
    a schema:ProductModel ;
    schema:isbn "3319171089" ;
    schema:isbn "9783319171081" ;
    .

<http://worldcat.org/isbn/9783319171098>
    a schema:ProductModel ;
    schema:isbn "3319171097" ;
    schema:isbn "9783319171098" ;
    .

<http://worldcat.org/issn/2214-9783> # Logic, epistemology and the unity of science,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/911911992> ; # Functions and generality of logic : reflections on Dedekind's and Frege's logicisms
    schema:issn "2214-9783" ;
    schema:name "Logic, epistemology and the unity of science," ;
    .

<http://www.worldcat.org/title/-/oclc/911911992>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/911911992> ; # Functions and generality of logic : reflections on Dedekind's and Frege's logicisms
    schema:dateModified "2018-09-19" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .

<https://login.libproxy.uregina.ca:8443/login?url=https://link.springer.com/openurl?genre=book&isbn=978-3-319-17108-1>
    rdfs:comment "Full text available from SpringerLINK ebooks - English/International Collection (2015)" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.