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Essays on the Foundations of Mathematics by Moritz Pasch - STEPHEN POLLARD

Essays on the Foundations of Mathematics by Moritz Pasch

Titre de l'éditeur : Essays on the Foundations of Mathematics by Moritz Pasch

STEPHEN POLLARD

 
188,10 $
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EN SAVOIR PLUS Résumé

Moritz Pasch (1843-1930) is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers Pasch published in the decade 1917-1926. In them, Pasch argues that geometry and, more surprisingly, number theory are branches of empirical science; he provides axioms for the combinatorial reasoning essential to Hilbert’s program of consistency proofs; he explores "implicit definition" (a generalization of definition by abstraction) and indicates how this technique yields an "empiricist" reconstruction of set theory; he argues that we cannot fully understand the logical structure of mathematics without clearly distinguishing between decidable and undecidable properties; he offers a rare glimpse into the mind of a master of axiomatics, surveying in detail the thought experiments he employed as he struggled to identify fundamental mathematical principles; and much more. This volume will: Give English speakers access to an important body of work from a turbulent and pivotal period in the history of mathematics, help us look beyond the familiar triad of formalism, intuitionism, and logicism, show how deeply we can see with the help of a guide determined to present fundamental mathematical ideas in ways that match our human capacities, will be of interest to graduate students and researchers in logic and the foundations of mathematics.

Détails
Prix : 188,10 $
Catégorie :
Auteur :  STEPHEN POLLARD
Titre : Essays on the Foundations of Mathematics by Moritz Pasch
Date de parution : août 2010
Éditeur : LIVRES NUMÉRIQUES DIVERS
Sujet : NUL DIVERS
ISBN : 9789048194162 (9048194164)
Référence Renaud-Bray : 3062418
No de produit : 3062418
Droits numériques
Format : EPUB
Disponibilité : Canada, consultez la liste des pays autorisés.
Gestion des droits numériques : Adobe DRM
Entrepôt numérique : NUMILOG
Nombre d'appareils autorisés : 3
Nombre de copier/coller : 0
Impression : 0

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Essays on the Foundations of Mathematics by Moritz Pasch , POLLARD , STEPHEN
© LIVRES NUMÉRIQUES DIVERS 2010