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. Numbers / l. Zero
0 is not a number, as it answers 'how many?' negatively
6. Mathematics / A. Nature of Mathematics / 3. Numbers / o. Units
Multiplicity in general is just one and one and one, etc.
6. Mathematics / A. Nature of Mathematics / 3. Numbers / p. Counting
Husserl said counting is more basic than Frege's one-one correspondence
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Husserl identifies a positive mental act of unification, and a negative mental act for differences
18. Thought / D. Concepts / 6. Abstract Concepts / h. Abstractionism critique
Psychologism blunders in focusing on concept-formation instead of delineating the concepts
Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them