The space of mathematics. Philosophical, epistemological, and historical explorations. Revised papers from a symposium on structures in mathematical theories, Donostia/San Sebastian, Basque Country, Spain, September 1990. (English) Zbl 0839.00019

Grundlagen der Kommunikation und Kognition. Berlin: Walter de Gruyter. xvi, 422 p. (1992).

Show indexed articles as search result.

The articles of this volume will be reviewed individually. The original proceedings have been published in (1990) and were announced in Zbl 0745.03004.
Indexed articles:
MacLane, Saunders, The protean character of mathematics, 1-13 [Zbl 0848.00006]
Lawvere, F. William, Categories of space and of quantity, 14-30 [Zbl 0846.18001]
Ibarra, Andoni; Mormann, Thomas, Structural analogies between mathematical and empirical theories, 31-46 [Zbl 0874.00011]
Rantala, Veikko, Reduction and explanation: Science vs. mathematics, 47-59 [Zbl 0875.00010]
Niiniluoto, Ilkka, Reality, truth, and confirmation in mathematics – reflections on the quasi-empiricist programme, 60-78 [Zbl 0888.00004]
Breger, Herbert, Tacit knowledge in mathematical theory, 79-90 [Zbl 0847.00008]
Grattan-Guinness, Ivor, Structure-similarity as a cornerstone of the philosophy of mathematics, 91-111 [Zbl 0848.00005]
Resnik, Michael D., Applying mathematics and the indispensability argument, 115-131 [Zbl 0849.00014]
Torretti, Roberto, Mathematical structures and physical necessity, 132-140 [Zbl 0847.00006]
Scheibe, Erhard, The role of mathematics in physical science, 141-155 [Zbl 0871.00007]
Schmidt, Heinz-Jürgen, The status of set-theoretic axioms in empirical theories, 156-167 [Zbl 0847.03002]
da Costa, Newton C. A.; Doria, F. Antonio, Suppes predicates for classical physics, 168-191 [Zbl 0847.03007]
Howson, Colin, Mathematics in philosophy, 192-201 [Zbl 0847.00007]
Dauben, Joseph W., Are there revolutions in mathematics?, 205-229 [Zbl 0862.01041]
Echeverria, Javier, Observations, problems and conjectures in number theory – the history of the prime number theorem, 230-252 [Zbl 0848.00008]
Knobloch, Eberhard, Historical aspects of the foundations of error theory, 253-279 [Zbl 0855.01009]
Jahnke, Hans Niels, A structuralist view of Lagrange’s algebraic analysis and the German combinatorial school, 280-295 [Zbl 0862.01013]
Otte, Michael, Constructivism and objects of mathematical theory, 296-313 [Zbl 0848.00007]
Feferman, Solomon, Turing’s “oracle”: From absolute to relative computability – and back, 314-348 [Zbl 0853.03013]
Mahoney, Michael S., Computers and mathematics: The search for a discipline of computer science, 349-363 [Zbl 0854.01020]
Mosterin, Jesus, Theories and the flow of information, 367-378 [Zbl 0848.00009]
Sneed, Joseph D., Structuralism and scientific discovery, 379-402 [Zbl 0852.00009]
Moulines, C. Ulises, Towards a typology of intertheoretical relations, 403-411 [Zbl 0875.03011]

MSC:

00B25	Proceedings of conferences of miscellaneous specific interest
03-06	Proceedings, conferences, collections, etc. pertaining to mathematical logic and foundations
00A30	Philosophy of mathematics

Keywords:

Space of mathematics; Philosophical explorations; Epistemological explorations; Historical explorations; Symposium; Structures; Donostia/San Sebastian (Spain)

Citations:

Zbl 0745.03004