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 confusion
by the discovery of the class paradoxes. That initiated a period of intense
research into the foundations of mathematics, and with it the birth of
mathematical logic and a new, sharper debate in the philosophy of
mathematics.
The Search for Certainty examines this foundational endeavour from the
discovery of the paradoxes to the present. Focusing on Russell's logicist
programme and Hilbert's finitist programme, Giaquinto investigates how
successful they were and how successful they could be. These questions are
set in the context of a clear, non-technical exposition and assessment of
the most important discoveries in mathematical logic, above all Gödel's
underivability theorems.
More than six decades after those discoveries, Giaquinto asks what our
present perspective should be on the question of certainty in mathematics.
Taking recent developments into account, he gives reasons for a
surprisingly positive response.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Marcus Giaquinto is Lecturer in Philosophy at University College, London.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Hardcover. Etat : new. Hardcover. 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 forCertainty examines this foundational endeavour from thediscovery of the paradoxes to the present. Focusing on Russell's logicistprogramme and Hilbert's finitist programme, Giaquinto investigateshowsuccessful 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 Goedel'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 developmentsinto account, he gives reasons for asurprisingly positive response. Marcus 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780198752448
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