skip to content
The mathematical experience Preview this item
ClosePreview this item
Checking...

The mathematical experience

Author: Philip J Davis
Publisher: Boston Houghton Mifflin 1998
Series: Mariner books
Edition/Format:   Print book : English : 1. Mariner books edView all editions and formats
Summary:
We tend to think of mathematics as uniquely rigorous, and of mathematicians as supremely smart. In his introduction to The Mathematical Experience, Gian-Carlo Rota notes that instead, "a mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof ... is more often than not a way of making sure that our minds are not playing tricks." Philip Davis and Reuben Hersh discuss  Read more...
Rating:

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

Find a copy in the library

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

Details

Document Type: Book
All Authors / Contributors: Philip J Davis
ISBN: 0395929687 9780395929681
OCLC Number: 1020595907
Notes: Originally publ.: Boston: Birkäuser, 1981
Description: XIX, 440 Seiten : Illustrationen, Diagramme 16 x 23,5 x 2,5
Series Title: Mariner books
Responsibility: Philip J. Davis ; Reuben Hersh. With an introd. by Gian-Carlo Rota.

Abstract:

We tend to think of mathematics as uniquely rigorous, and of mathematicians as supremely smart. In his introduction to The Mathematical Experience, Gian-Carlo Rota notes that instead, "a mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof ... is more often than not a way of making sure that our minds are not playing tricks." Philip Davis and Reuben Hersh discuss everything from the nature of proof to the Euclid myth, and mathematical aesthetics to non-Cantorian set theory. They make a convincing case for the idea that mathematics is not about eternal reality, but comprises "true facts about imaginary objects" and belongs among the human sciences.

Reviews

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<\/h3>
<http:\/\/www.worldcat.org\/oclc\/1020595907<\/a>> # The mathematical experience<\/span>\u00A0\u00A0\u00A0\u00A0a schema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0library:oclcnum<\/a> \"1020595907<\/span>\" ;\u00A0\u00A0\u00A0library:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/Boston<\/a>> ; # Boston<\/span>\u00A0\u00A0\u00A0library:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/mau<\/a>> ;\u00A0\u00A0\u00A0schema:bookEdition<\/a> \"1. Mariner books ed.<\/span>\" ;\u00A0\u00A0\u00A0schema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0schema:creator<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/327280#Person\/davis_philip_j<\/a>> ; # Philip J. Davis<\/span>\u00A0\u00A0\u00A0schema:datePublished<\/a> \"1998<\/span>\" ;\u00A0\u00A0\u00A0schema:description<\/a> \"We tend to think of mathematics as uniquely rigorous, and of mathematicians as supremely smart. In his introduction to The Mathematical Experience, Gian-Carlo Rota notes that instead, \"a mathematician\'s work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof ... is more often than not a way of making sure that our minds are not playing tricks.\" Philip Davis and Reuben Hersh discuss everything from the nature of proof to the Euclid myth, and mathematical aesthetics to non-Cantorian set theory. They make a convincing case for the idea that mathematics is not about eternal reality, but comprises \"true facts about imaginary objects\" and belongs among the human sciences.<\/span>\" ;\u00A0\u00A0\u00A0schema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/327280<\/a>> ;\u00A0\u00A0\u00A0schema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0schema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/327280#Series\/mariner_books<\/a>> ; # Mariner books<\/span>\u00A0\u00A0\u00A0schema:name<\/a> \"The mathematical experience<\/span>\" ;\u00A0\u00A0\u00A0schema:productID<\/a> \"1020595907<\/span>\" ;\u00A0\u00A0\u00A0schema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/1020595907#PublicationEvent\/bostonhoughton_mifflin1998<\/a>> ;\u00A0\u00A0\u00A0schema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/327280#Agent\/houghton_mifflin<\/a>> ; # Houghton Mifflin<\/span>\u00A0\u00A0\u00A0schema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780395929681<\/a>> ;\u00A0\u00A0\u00A0wdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/1020595907<\/a>> ;\u00A0\u00A0\u00A0\u00A0.<\/div>

Related Entities<\/h3>
<http:\/\/dbpedia.org\/resource\/Boston<\/a>> # Boston<\/span>\u00A0\u00A0\u00A0\u00A0a schema:Place<\/a> ;\u00A0\u00A0\u00A0schema:name<\/a> \"Boston<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/327280#Agent\/houghton_mifflin<\/a>> # Houghton Mifflin<\/span>\u00A0\u00A0\u00A0\u00A0a bgn:Agent<\/a> ;\u00A0\u00A0\u00A0schema:name<\/a> \"Houghton Mifflin<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/327280#Person\/davis_philip_j<\/a>> # Philip J. Davis<\/span>\u00A0\u00A0\u00A0\u00A0a schema:Person<\/a> ;\u00A0\u00A0\u00A0schema:familyName<\/a> \"Davis<\/span>\" ;\u00A0\u00A0\u00A0schema:givenName<\/a> \"Philip J.<\/span>\" ;\u00A0\u00A0\u00A0schema:name<\/a> \"Philip J. Davis<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/327280#Series\/mariner_books<\/a>> # Mariner books<\/span>\u00A0\u00A0\u00A0\u00A0a bgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0schema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/1020595907<\/a>> ; # The mathematical experience<\/span>\u00A0\u00A0\u00A0schema:name<\/a> \"Mariner books<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/id.loc.gov\/vocabulary\/countries\/mau<\/a>>\u00A0\u00A0\u00A0\u00A0a schema:Place<\/a> ;\u00A0\u00A0\u00A0dcterms:identifier<\/a> \"mau<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/worldcat.org\/isbn\/9780395929681<\/a>>\u00A0\u00A0\u00A0\u00A0a schema:ProductModel<\/a> ;\u00A0\u00A0\u00A0schema:isbn<\/a> \"0395929687<\/span>\" ;\u00A0\u00A0\u00A0schema:isbn<\/a> \"9780395929681<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.<\/div>
<http:\/\/www.worldcat.org\/title\/-\/oclc\/1020595907<\/a>>\u00A0\u00A0\u00A0\u00A0a genont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0schema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/1020595907<\/a>> ; # The mathematical experience<\/span>\u00A0\u00A0\u00A0schema:dateModified<\/a> \"2018-11-10<\/span>\" ;\u00A0\u00A0\u00A0void:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.<\/div>