Ideas from 'Philosophy of Arithmetic' by Edmund Husserl [1894], by Theme Structure
[found in 'Philosophy of Arithmetic' by Husserl,Edmund (ed/tr Willard,Dallas) [Kluwer 2003,1-4020-1603-4]].
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
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9837
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0 is not a number, as it answers 'how many?' negatively [Dummett]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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9576
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Multiplicity in general is just one and one and one, etc.
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
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17444
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Husserl said counting is more basic than Frege's one-one correspondence [Heck]
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15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
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9575
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Husserl identifies a positive mental act of unification, and a negative mental act for differences [Frege]
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18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
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21214
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We clarify concepts (e.g. numbers) by determining their psychological origin [Velarde-Mayol]
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18. Thought / E. Abstraction / 8. Abstractionism Critique
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9819
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Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett]
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9851
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Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett]
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