Combining Texts
Ideas for
'Frege philosophy of mathematics', 'Things qua Truthmakers' and 'Mental Acts: their content and their objects'
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12 ideas
18. Thought / E. Abstraction / 1. Abstract Thought
9873
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Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
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18. Thought / E. Abstraction / 3. Abstracta by Ignoring
8770
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'Abstractionism' is acquiring a concept by picking out one experience amongst a group [Geach]
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18. Thought / E. Abstraction / 7. Abstracta by Equivalence
9993
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There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
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9857
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We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
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18. Thought / E. Abstraction / 8. Abstractionism Critique
8771
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'Or' and 'not' are not to be found in the sensible world, or even in the world of inner experience [Geach]
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8772
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We can't acquire number-concepts by extracting the number from the things being counted [Geach]
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8773
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Abstractionists can't explain counting, because it must precede experience of objects [Geach]
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8774
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The numbers don't exist in nature, so they cannot have been abstracted from there into our languages [Geach]
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8778
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Blind people can use colour words like 'red' perfectly intelligently [Geach]
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8777
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If 'black' and 'cat' can be used in the absence of such objects, how can such usage be abstracted? [Geach]
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8779
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We can form two different abstract concepts that apply to a single unified experience [Geach]
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9833
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To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
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