History and Philosophy of Modern Mathematics. William Aspray , Philip Kitcher

Isis ◽  
1989 ◽  
Vol 80 (1) ◽  
pp. 154-155 ◽  
Author(s):  
I. Grattan-Guinness
Keyword(s):  
Philip Kitcher ◽  
Modern Mathematics

Warren Goldfarb. Poincaré against the logicists. History and philosophy of modern mathematics, edited by William Aspray and Philip Kitcher, Minnesota studies in the philosophy of science, vol. 11, University of Minnesota Press, Minneapolis1988, pp. 61–81. - Michael Friedman. Logical truth and analyticity in Carnap's “Logical syntax of language.”History and philosophy of modern mathematics, edited by William Aspray and Philip Kitcher, Minnesota studies in the philosophy of science, vol. 11, University of Minnesota Press, Minneapolis1988, pp. 82–94. - Gregory H. Moore. The emergence of first-order logic. History and philosophy of modern mathematics, edited by William Aspray and Philip Kitcher, Minnesota studies in the philosophy of science, vol. 11, University of Minnesota Press, Minneapolis1988, pp. 95–135. - Joseph W. Dauben. Abraham Robinson and nonstandard analysis: history, philosophy, and foundations of mathematics. History and philosophy of modern mathematics, edited by William Aspray and Philip Kitcher, Minnesota studies in the philosophy of science, vol. 11, University of Minnesota Press, Minneapolis1988, pp. 177–200. - Howard Stein. Logos, logic, and logistiké: some philosophical remarks on nineteenth-century transformation of mathematics. History and philosophy of modern mathematics, edited by William Aspray and Philip Kitcher, Minnesota studies in the philosophy of science, vol. 11, University of Minnesota Press, Minneapolis1988, pp. 238–259.

1990 ◽  
Vol 55 (3) ◽  
pp. 1315-1319 ◽  
Author(s):  
Michael Hallett
Keyword(s):  
Philosophy Of Science ◽  
Logical Truth ◽  
University Of Minnesota ◽  
First Order ◽  
Philip Kitcher ◽  
Language History ◽  
Mathematics History ◽  
Michael Friedman ◽  
Warren Goldfarb ◽  
Modern Mathematics

A Priority and Application: Philosophy of Mathematics in the Modern Period

2009 ◽  
Author(s):  
Lisa Shabel
Keyword(s):  
Early Modern ◽  
Mathematical Reasoning ◽  
Philosophy Of Mathematics ◽  
Mathematical Practice ◽  
Natural World ◽  
Pure Mathematics ◽  
Philosophical Account ◽  
Mathematical Ontology ◽  
To Come ◽  
Modern Mathematics

The state of modern mathematical practice called for a modern philosopher of mathematics to answer two interrelated questions. Given that mathematical ontology includes quantifiable empirical objects, how to explain the paradigmatic features of pure mathematical reasoning: universality, certainty, necessity. And, without giving up the special status of pure mathematical reasoning, how to explain the ability of pure mathematics to come into contact with and describe the empirically accessible natural world. The first question comes to a demand for apriority: a viable philosophical account of early modern mathematics must explain the apriority of mathematical reasoning. The second question comes to a demand for applicability: a viable philosophical account of early modern mathematics must explain the applicability of mathematical reasoning. This article begins by providing a brief account of a relevant aspect of early modern mathematical practice, in order to situate philosophers in their historical and mathematical context.

Abusing Science: The Case against Creationism. Philip Kitcher

1984 ◽  
Vol 51 (2) ◽  
pp. 348-354
Author(s):  
Michael Ruse
Keyword(s):  
Philip Kitcher

Lectures on Modern Mathematics. Volume 1

1964 ◽  
Vol 15 (3) ◽  
pp. 67-68
Author(s):  
R O Gibson
Keyword(s):  
Modern Mathematics
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