Combining Texts

All the ideas for 'works', 'New Proof of Possibility of Well-Ordering' and 'Philosophy of Arithmetic'

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9 ideas

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

17743

De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

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]

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 / A. Modes of Thought / 6. Judgement / a. Nature of Judgement

17613

We should judge principles by the science, not science by some fixed principles [Zermelo]

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]