Combining Philosophers
Ideas for Confucius, Lamargue,P/Olson,SH and Kit Fine
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13 ideas
18. Thought / E. Abstraction / 1. Abstract Thought
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9144
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Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert]
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18. Thought / E. Abstraction / 2. Abstracta by Selection
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9149
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To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]
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9150
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We should define abstraction in general, with number abstraction taken as a special case [Fine,K]
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10141
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Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K]
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18. Thought / E. Abstraction / 7. Abstracta by Equivalence
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10135
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We can abstract from concepts (e.g. to number) and from objects (e.g. to direction) [Fine,K]
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9142
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Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert]
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10137
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Abstractionism can be regarded as an alternative to set theory [Fine,K]
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10138
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An object is the abstract of a concept with respect to a relation on concepts [Fine,K]
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10561
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Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
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10562
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We can combine ZF sets with abstracts as urelements [Fine,K]
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10567
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We can create objects from conditions, rather than from concepts [Fine,K]
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10527
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An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
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18. Thought / E. Abstraction / 8. Abstractionism Critique
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9146
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After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]
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