Philosophy of mathematics. Proceedings of the 15th international Wittgenstein-Symposium, 16-23 August 1992, Kirchberg am Wechsel, Austria. Part I. (German, English) Zbl 0836.00022

Schriftenreihe der Wittgenstein-Gesellschaft. 20/I. Wien: Hölder- Pichler-Tempsky. 445 p. (1993).

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This volume is the first of a set of two volumes (see also the review Zbl 0836.00023 below) with selected papers presented at the 15th International Wittgenstein-Symposium 1992 at Kirchberg am Wechsel in Austria which was devoted to the philosophy of mathematics. The volume contains 36 papers which, unlike vol. 2, do not explicitly refer to Wittgenstein. They are grouped into eight sections: I “History of Mathematical Ideas” (4 papers); II “Workshop on M. Dummett’s Book ‘Frege: Philosophy of Mathematics’ ” (2 papers with introductory remarks and comments by Michael Dummett); III “Intuitionism and Constructive Mathematics” (3 papers); IV “Hilbert’s Program and Gödel’s Theorems” (6 papers); V “Logicism” (2 papers); VI “Mathematics, Modality and Knowability” (5 papers); VI “Some Philosophies of Mathematics” (6 papers); VIII “Some Further Topics” (5 papers). The volume is closed by the program of lectures presented at the symposium, a list of speakers, and an index of authors.
The articles of this volume will be reviewed individually.
Indexed articles:
De Caro, Mario, Galileo’s Mathematical Platonism, 13-22 [Zbl 0849.00015]
Spalt, Detlef D., Exactness as a constant, concepts in the change of mathematical reasoning. On analysis in the 19th and 20th centuries, 45-59 [Zbl 0876.00012]
Karl, Birgit; Schreck, Helmut, Introduction of the term “topology” in mathematics by J. B. Listing in 1847, 60-66 [Zbl 0840.01019]
Dummett, Michael, Introductory remarks, 69-76 [Zbl 0878.03004]
Picardi, Eva, Dummett on analysis and cognitive synonymy, 77-85 [Zbl 0844.01008]
Franchella, Miriam, Griss’ contribution to intuitionism, 119-126 [Zbl 0840.01026]
Murawski, Roman, On the philosophical meaning of reverse mathematics, 173-184 [Zbl 0878.00006]
Majer, Ulrich, Different forms of finitism, 185-194 [Zbl 0838.03003]
Detlefsen, Michael, The Kantian character of Hilbert’s formalism, 195-205 [Zbl 0849.00016]
Cellucci, Carlo, From closed to open systems, 206-220 [Zbl 0877.03006]
Rodríguez-Consuegra, Francisco A., Russell, Gödel and logicism, 233-242 [Zbl 0840.01023]
Degen, J. W., Two formal vindications of logicism, 243-250 [Zbl 0838.03004]
Grattan-Guinness, Ivor, Structure-similarity: Between mathematics and philosophy, 317-333 [Zbl 0849.00017]
Code, Murray, Understanding, intuition, and the philosophy of mathematics, 335-342 [Zbl 0849.00018]
Woleński, Jan, Analyticity, decidability and incompleteness, 379-382 [Zbl 0849.00019]
Rheinwald, Rosemarie, The Achilles paradox in modern discussion, 383-392 [Zbl 0838.03005]
Wagner-Döbler, Roland, Perspektiven der Wissenschaftsforschung über die Mathematik, 417-427 [Zbl 0840.01027]

Reviewer: V.Peckhaus (Erlangen)

MSC:

00B25	Proceedings of conferences of miscellaneous specific interest
00A30	Philosophy of mathematics
03A05	Philosophical and critical aspects of logic and foundations
03-06	Proceedings, conferences, collections, etc. pertaining to mathematical logic and foundations
01-06	Proceedings, conferences, collections, etc. pertaining to history and biography

Keywords:

Symposium; Philosophy of mathematics; Proceedings; Wittgenstein- symposium; Kirchberg am Wechsel (Austria)

Citations:

Zbl 0749.03003; Zbl 0836.00023