Combining Philosophers
Ideas for Anaxarchus, Stewart Shapiro and David Papineau
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7 ideas
7. Existence / A. Nature of Existence / 1. Nature of Existence
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Can we discover whether a deck is fifty-two cards, or a person is time-slices or molecules? [Shapiro]
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7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
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The abstract/concrete boundary now seems blurred, and would need a defence [Shapiro]
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Mathematicians regard arithmetic as concrete, and group theory as abstract [Shapiro]
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7. Existence / D. Theories of Reality / 5. Naturalism
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Externalism may be the key idea in philosophical naturalism [Papineau]
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7. Existence / D. Theories of Reality / 7. Fictionalism
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Fictionalism eschews the abstract, but it still needs the possible (without model theory) [Shapiro]
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Structuralism blurs the distinction between mathematical and ordinary objects [Shapiro]
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7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
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Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau]
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