Penelope (Professor of Philosophy, Professor of Philosophy, University of California, Irvine) Maddy
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Penelope (Professor of Philosophy, Professor of Philosophy, University of California, Irvine) Maddy,
,
Penelope Maddy
e druk, 1992
9780198240358
Realism in Mathematics
Specificaties
Paperback, 216 blz.
|
Engels
|
e druk, 1992
ISBN13: 9780198240358
Rubricering
Onderdeel van serie
Clarendon Paperbacks
Verwachte levertijd ongeveer 11 werkdagen
Samenvatting
When engaged in mathematics, most people tend to think of themselves as scientists investigating the features of real mathematical things, and the wildly successful application of mathematics in the physical sciences reinforces this picture of mathematics as an objective study. For philosophers, however, this realism about mathematics raises serious questions: What are mathematical things? Where are they? How do we know about them? Penelope Maddy delineates and defends a novel version of mathematical realism that answers the traditional questions and refocuses philosophical attention on the pressing foundational issues of contemporary mathematics.
Specificaties
Inhoudsopgave
Realism: Pre-theoretic realism; Realism in philosophy; Realism and truth; Realism in mathematics; Perception and intuition: What is the question?; Perception; Intuition; Godelian Platonism; Numbers: What numbers could not be; Numbers as properties; Frege numbers; Axioms: Reals and sets of reals; Axiomization; Open problems; Competing theories; The challenge; Monism and beyond: Monism; Field's nominalism; Structuralism; Summary; References; Index.