Matthias Schirn. Einige Bemerkungen zum Zusammenhang von Logik, Mathematik und Sprachphilosophie bei Frege. Studicn zu Frege, Volume I, Logik und Philosophie der Mathematik (Studies on Frege, Volume I, Logic and philosophy of mathematics), edited by Matthias Schirn, Problemata, no. 42, Frommann-Holzboog, Stuttgart and Bad Cannstatt1976, pp. 13–26. - Hans D. Sluga. Frege as a rationalist. Studicn zu Frege, Volume I, Logik und Philosophie der Mathematik (Studies on Frege, Volume I, Logic and philosophy of mathematics), edited by Matthias Schirn, Problemata, no. 42, Frommann-Holzboog, Stuttgart and Bad Cannstatt1976, pp. 27–47. - Albert Veraart. Geschichte des wissenschaftlichen Nachlasses Gottlob Freges und seiner Edition. Mit einem Katalog des urspriinglichen Bestands der nachgelassenen Schriften Freges. Studicn zu Frege, Volume I, Logik und Philosophie der Mathematik (Studies on Frege, Volume I, Logic and philosophy of mathematics), edited by Matthias Schirn, Problemata, no. 42, Frommann-Holzboog, Stuttgart and Bad Cannstatt1976, pp. 49–106. - Victor H. Dudman. From Boole to Frege. Studicn zu Frege, Volume I, Logik und Philosophie der Mathematik (Studies on Frege, Volume I, Logic and philosophy of mathematics), edited by Matthias Schirn, Problemata, no. 42, Frommann-Holzboog, Stuttgart and Bad Cannstatt1976, pp. 109–138. - Robert Sternfeld. The logistic thesis. Studicn zu Frege, Volume I, Logik und Philosophie der Mathematik (Studies on Frege, Volume I, Logic and philosophy of mathematics), edited by Matthias Schirn, Problemata, no. 42, Frommann-Holzboog, Stuttgart and Bad Cannstatt1976, pp. 139–160. - Michael D. Resnik. Die Frege–Hilbert Kontroverse. Studicn zu Frege, Volume I, Logik und Philosophie der Mathematik (Studies on Frege, Volume I, Logic and philosophy of mathematics), edited by Matthias Schirn, Problemata, no. 42, Frommann-Holzboog, Stuttgart and Bad Cannstatt1976, pp. 193–213. (German translation by Matthias Schirn of The Frege–Hilbert controversy, Philosophy andphenomenological research, vol. 34 no. 3 (1974), pp. 386–403.) - Friedrich Kambartel. Frege und die axiomatische Methode. Zur Kritik mathematikhistorischer Legitimationsversuche der formalistischen Ideologie. A reprint of XLIV 119. (German translation by Matthias Schirn of The Frege–Hilbert controversy, Philosophy andphenomenological research, vol. 34 no. 3 (1974), pp. 215–228. - Michael Dummett. Frege on the consistency of mathematical theories. Frege und die axiomatische Methode. Zur Kritik mathematikhistorischer Legitimationsversuche der formalistischen Ideologie. A reprint of XLIV 119. (German translation by Matthias Schirn of The Frege–Hilbert controversy, Philosophy andphenomenological research, vol. 34 no. 3 (1974), pp. 229–242.

1982 ◽  
Vol 47 (1) ◽  
pp. 226-229
Author(s):  
R. H. Stoothoff
Keyword(s):  
Philosophy Of Mathematics ◽  
German Translation ◽  
Michael Dummett ◽  
Philosophie Der Mathematik

Frege: Philosophy of Mathematics. Michael Dummett

Isis ◽  
1993 ◽  
Vol 84 (4) ◽  
pp. 808-809
Keyword(s):  
Philosophy Of Mathematics ◽  
Michael Dummett

Frege: Philosophy of Mathematics By Michael Dummett Duckworth 1991 xiii + 331 pp.

Philosophy ◽  
1993 ◽  
Vol 68 (265) ◽  
pp. 405-411
Author(s):  
Mary Tiles
Keyword(s):  
Philosophy Of Mathematics ◽  
Michael Dummett

scholarly journals Notes on Contributors

Philosophy ◽  
2000 ◽  
Vol 75 (4) ◽  
pp. 475-475
Keyword(s):  
Sonoran Desert ◽  
Philosophy Of Mathematics ◽  
Applied Ethics ◽  
Senior Lecturer ◽  
Michael Dummett ◽  
Open Books ◽  
Making Sense ◽  
20Th Century Physics ◽  
19Th And 20Th Century ◽  
The University

Notes on ContributorsBernard Williams Deutsch Professor of Philosophy at the University of California, Berkeley, and a Fellow of All Souls' College, Oxford. He has held chairs in London, Cambridge, and Oxford, and from 1979 to 1987 he was Provost of King's College, Cambridge. His most recent publications are Making Sense of Humanity and Plato.Michael DummettEmeritus Professor of Oxford University, Honorary Fellow of New College, Oxford and Emeritus Fellow of All Souls' College. He was Wykenham Professor of Logic from 1972 to 1992. Earlier he was for 13 years reader in Philosophy of Mathematics.David S. OderbergReader in Philosophy at the University of Reading. His most recent books are Moral Theory: A Non-consequentialist Approach and Applied Ethics: A Non-consequentialist Approach (Blackwell, 2000).Andrea ChristofidouLecturer in Philosophy, Worcester College, Oxford. She is currently working on a book called Descartes: God, Mind and the World.E. J. LoweProfessor of Philosophy, University of Durham. Author of Kinds of Being, Subjects of Experience, and The Possibility of Metaphysics.Roger FellowsSenior Lecturer in Philosophy at the University of Bradford. His publications include: What Philosophy Does, Open Books 1977; Philosophy and Technology, (ed.), Cambridge University Press, 1985.Robert J. DelteteProfessor of Philosophy at Seattle University. He has published on the history and philosophy of science, especially 19th and 20th century physics and cosmology.William F. VallicellaAfter some years of teaching at University of Dayton and Case Western Reserve University, Dr Vallicella abandoned a tenured position, retiring to the Sonoran desert to live the life of the independent philosopher. He is the author of many published articles, mainly in metaphysics and philosophy of religion, in such journals as Analysis, Ratio, and Nous.

Mathematical Knowledge and the Interplay of Practices

2015 ◽  
Author(s):  
José Ferreirós
Keyword(s):  
Mathematical Knowledge ◽  
A Priori ◽  
Philosophy Of Mathematics ◽  
Advanced Mathematics ◽  
New Approach ◽  
Agent Based ◽  
Epistemology Of Mathematics ◽  
Actual Experience ◽  
Elementary Math ◽  
Mathematical Tradition

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, the book uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, the book shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. It argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. It demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, the book challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.

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