Bradford (1998)

Abstract
In _Realistic Rationalism_, Jerrold J. Katz develops a new philosophical position integrating realism and rationalism. Realism here means that the objects of study in mathematics and other formal sciences are abstract; rationalism means that our knowledge of them is not empirical. Katz uses this position to meet the principal challenges to realism. In exposing the flaws in criticisms of the antirealists, he shows that realists can explain knowledge of abstract objects without supposing we have causal contact with them, that numbers are determinate objects, and that the standard counterexamples to the abstract/concrete distinction have no force. Generalizing the account of knowledge used to meet the challenges to realism, he develops a rationalist and non-naturalist account of philosophical knowledge and argues that it is preferable to contemporary naturalist and empiricist accounts. The book illuminates a wide range of philosophical issues, including the nature of necessity, the distinction between the formal and natural sciences, empiricist holism, the structure of ontology, and philosophical skepticism. Philosophers will use this fresh treatment of realism and rationalism as a starting point for new directions in their own research
Keywords Philosophy   Philosophy   Epistemology   Ethics   Logic   Ontology
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Reprint years 2000
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ISBN(s) 9780262611510     0262611511
DOI 10.1023/a:1005413322511
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Experimental Attacks on Intuitions and Answers.John Bengson - 2013 - Philosophy and Phenomenological Research 86 (3):495-532.
Relativity and the Causal Efficacy of Abstract Objects.Tim Juvshik - 2020 - American Philosophical Quarterly 57 (3).
Fictionalism, Theft, and the Story of Mathematics.Mark Balaguer - 2009 - Philosophia Mathematica 17 (2):131-162.

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