## The Growth of Mathematical KnowledgeThis book draws its inspiration from Hilbert, Wittgenstein, Cavaillès and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences. |

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The Growth of Mathematical Knowledge

want to move from a discussion of the growth of mathematical knowledge to the. question of realism. But it is arguable that a study of historical processes ...

uhra.herts.ac.uk/ dspace/ bitstream/ 2299/ 457/ 1/ 100573.pdf

Books of Essays

Empirical Fact in the Growth of Mathematical Knowledge. J. HINTIKKA,. Knowledge of functions in the growth of mathematical knowledge,. pp. 1-15. ...

philmat.oxfordjournals.org/ cgi/ reprint/ 8/ 3/ 348.pdf

livre the growth of mathematical knowledge, ouvrages generaux de **...**

The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role ...

www.lavoisier.fr/ notice/ frIAORARXZ23P6LO.html

Abstracts for 2000

Knobloch, E. (2000). Analogy and the growth of mathematical knowledge. In E. Grosholz and H. Brege (Eds.) The growth of mathematical knowledge (pp.295-314). ...

fcis.oise.utoronto.ca/ ~ghanna/ philosophyabstracts/ 2000.htm

Philosophy of Mathematics

The Growth of Mathematical Knowledge (Synthese Library) ~ Emily Grosholz Kluwer Academic Publishers Emily Grosholz. Set Theory and Its Philosophy: A ...

www.mathinfale.co.uk/ cat149506.html

The Pragmatism of Hilbert's Programme

Cellucci, Carlo: 2000, ‘The Growth of Mathematical Knowledge: An Open World View’,. in Emily Grosholz and Herbert Breger (eds.), The Growth of Mathematical ...

www.springerlink.com/ index/ X345245716L71260.pdf

IHPST - présentation - membres

The Growth of Mathematical Knowledge, Kluwer Academic Publishers, 2000, p. 281-293; “L 'espace-temps de la philosophie”, in Jean-Toussaint Desanti, ...

www-ihpst.univ-paris1.fr/ rub.php?lng=fr&

Ricerca Italiana - PRIN - Universita' degli Studi di ROMA

Cellucci, C.: 2000, The growth of mathematical knowledge: An open world view, in E. Grosholz & H. Berger (a cura di), The growth of mathematical knowledge, ...

www.ricercaitaliana.it/ prin/ unita_op-2004112732_003.htm

La naturalizzazione della logica e della matematica

Cellucci, Carlo: 2000, The growth of mathematical knowledge: an open world view, in Grosholz-Breger 2000, pp. 153-176. Cellucci, Carlo: 2002, Filosofia e ...

w3.uniroma1.it/ cellucci/ documents/ Naturalizzazione.pdf

Forschungsbericht Leibniz Universität Hannover H1.13.02.00 **...**

The Growth of Mathematical Knowledge hrsg. veGrosholz/H.Greger,Dordrecht , S. 221-230 , Boston, London 2000. Peter Bulthaupt ...

www.tt.uni-hannover.de/ uniforkat/ viewBericht.cfm?ID=161