| 词条 | Penelope Maddy |
| 释义 |
| region = Western philosophy | era = Contemporary philosophy | name = Penelope Maddy | image = | caption = | birth_date = 4 July 1950 | birth_place = Tulsa, Oklahoma | school_tradition = Analytic philosophy | alma_mater = Princeton University | main_interests = Philosophy of mathematics | influences = | influenced = | notable_ideas = Set-theoretic realism (also known as naturalized Platonism),[1] mathematical naturalism }} Penelope Maddy (born 4 July 1950) is an American philosopher. She is a UCI Distinguished Professor of Logic and Philosophy of Science and of Mathematics at the University of California, Irvine. She is well known for her influential work in the philosophy of mathematics, where she has worked on mathematical realism (especially set-theoretic realism) and mathematical naturalism. EducationMaddy received her Ph.D. from Princeton University in 1979. Her dissertation, Set Theoretical Realism, was supervised by John P. Burgess.[2] ResearchMaddy's early work, culminating in Realism in Mathematics, defended Kurt Gödel's position that mathematics is a true description of a mind-independent realm that we can access through our intuition. However, she suggested that some mathematical entities are in fact concrete, unlike, notably, Gödel, who assumed all mathematical objects are abstract. She suggested that sets can be causally efficacious, and in fact share all the causal and spatiotemporal properties of their elements. Thus, when one sees three cups on a table, one also sees the set. She used contemporary work in cognitive science and psychology to support this position, pointing out that just as at a certain age we begin to see objects rather than mere sense perceptions, there is also a certain age at which we begin to see sets rather than just objects. In the 1990s, she moved away from this position, towards a position described in Naturalism in Mathematics. Her "naturalist" position, like Quine's, suggests that since science is our most successful project so far for knowing about the world, philosophers should adopt the methods of science in their own discipline, and especially when discussing science. As Maddy stated in an interview, "If you’re a ‘naturalist’, you think that science shouldn’t be held to extra-scientific standards, that it doesn’t require extra-scientific ratification."[3] However, rather than a unified picture of the sciences like Quine's, she has a picture on which mathematics is separate. This way, mathematics is neither supported nor undermined by the needs and goals of science, but is allowed to obey its own criteria. This means that traditional metaphysical and epistemological concerns of the philosophy of mathematics are misplaced. Like Wittgenstein, she suggests that many of these puzzles arise merely because of the application of language outside its proper domain of significance. She has been dedicated to understanding and explaining the methods that set theorists use in agreeing on axioms, especially those that go beyond ZFC. AwardsMaddy has been a member of the American Academy of Arts and Sciences since 1998.[4] The German Mathematical Society awarded her a Gauss Lectureship in 2006. Selected publications
See also
References1. ^Mark Balaguer, "Against (Maddian) naturalized Platonism", Philosophia Mathematica 2 (1994), 97–108. 2. ^{{mathgenealogy|id=111426}} 3. ^"The stuff of proof" 4. ^{{citation|url=https://uci.edu/university-facts/faculty-membership-list.php|title=Faculty Academy Members|publisher=University of California, Irvine|accessdate=2019-01-17}} 5. ^{{cite journal|author=Hirsch, Morris|authorlink=Morris Hirsch|title=Review: Realism in mathematics, by Penelope Maddy|journal=Bull. Amer. Math. Soc. (N.S.)|year=1995|volume=32|issue=1|pages=137–148|url=http://www.ams.org/journals/bull/1995-32-01/S0273-0979-1995-00552-5/|doi=10.1090/s0273-0979-1995-00552-5}} 6. ^{{cite journal|author=Frápolli, María J.|title=Review: Penelope Maddy, Naturalism in Mathematics|journal=Modern Logic|year=2001|volume=8|issue=3–4|pages=113–116|url=http://projecteuclid.org/euclid.rml/1081173776}} External links
12 : 1950 births|Living people|20th-century American philosophers|21st-century American philosophers|Philosophers of science|Philosophers of mathematics|American logicians|Princeton University alumni|University of California, Irvine faculty|American women philosophers|Women mathematicians|Fellows of the American Academy of Arts and Sciences |
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