Combining Texts

All the ideas for 'Mathematics and Indispensibility', 'Philosophy of Arithmetic' and 'Grundrisse'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero

9837	0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units

9576	Multiplicity in general is just one and one and one, etc. [Husserl]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation

17444

Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems

9558	All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]

15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind

9575	Husserl identifies a positive mental act of unification, and a negative mental act for differences [Husserl, by Frege]

18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts

21214

We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]

18. Thought / E. Abstraction / 8. Abstractionism Critique

9819	Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]

9851	Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]

24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will

22001

The real will of the cooperative will replace the 'will of the people' [Marx]