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Search for Certainty : A Philosophical Account of Foundations of Mathematics by Marcus Giaquinto (2002, Hardcover)

Phoebe Creek Books (5871)
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About this product

Product Identifiers

PublisherOxford University Press, Incorporated
ISBN-10019875244X
ISBN-139780198752448
eBay Product ID (ePID)25038249079

Product Key Features

Number of Pages298 Pages
Publication NameSearch for Certainty : a Philosophical Account of Foundations of Mathematics
LanguageEnglish
SubjectHistory & Philosophy, Logic
Publication Year2002
TypeTextbook
AuthorMarcus Giaquinto
Subject AreaMathematics, Philosophy
FormatHardcover

Dimensions

Item Height0.9 in
Item Weight20.1 Oz
Item Length9.2 in
Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional
LCCN2001-052064
Reviews"The Search for Certainty is a superb synoptic account of the intense and fruitful work that went into clarifying the foundations of mathematics...It fills the gap in the literature that Giaquinto reports to have noticed when a student of logic, and it does so in an excellent manner." -- The Review of Modern Logic, " The Search for Certainty is a superb synoptic account of the intense and fruitful work that went into clarifying the foundations of mathematics...It fills the gap in the literature that Giaquinto reports to have noticed when a student of logic, and it does so in an excellent manner." -- The Review of Modern Logic, "The Search for Certaintyis a superb synoptic account of the intense and fruitful work that went into clarifying the foundations of mathematics...It fills the gap in the literature that Giaquinto reports to have noticed when a student of logic, and it does so in an excellent manner." --The Reviewof Modern Logic
Dewey Edition21
TitleLeadingThe
IllustratedYes
Dewey Decimal511.3
Table Of Content1. Setting2. The Class Paradoxes and Early Responses3. The Language Paradoxes and Principia Mathematica4. Axiomatic Set Theory and Hilbert's Programme5. Gödel's Underivability Theorems6. AftermathBibliography, Index
SynopsisMarcus Giaquinto tells the story of one of the great intellectual adventures of the modern era -- the attempt to find firm foundations for mathematics. From the late nineteenth century to the present day, this project has stimulated some of the most original and influential work in logic and philosophy., Marcus Giaquinto tells the compelling story of one of the great intellectual adventures of the modern era: the attempt to find firm foundations for mathematics. From the late nineteenth century to the present day, this project has stimulated some of the most original and influential work in logic and philosophy., The nineteenth century saw a movement to make higher mathematics rigorous.This seemed to be on the brink of success when it was thrown into confusionby the discovery of the class paradoxes. That initiated a period of intenseresearch into the foundations of mathematics, and with it the birth ofmathematical logic and a new, sharper debate in the philosophy ofmathematics. The Search for Certainty examines this foundational endeavour from thediscovery of the paradoxes to the present. Focusing on Russell's logicistprogramme and Hilbert's finitist programme, Giaquinto investigates howsuccessful they were and how successful they could be. These questions areset in the context of a clear, non-technical exposition and assessment ofthe most important discoveries in mathematical logic, above all Gödel'sunderivability theorems.More than six decades after those discoveries, Giaquinto asks what ourpresent perspective should be on the question of certainty in mathematics.Taking recent developments into account, he gives reasons for asurprisingly positive response.
LC Classification NumberQA8.4.G53 2002
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