Combining Texts

All the ideas for 'fragments/reports', 'Philosophy of Arithmetic' and 'Events'

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15 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
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
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
Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are classes, and so there is a mereology of their parts [Lewis]
Some events involve no change; they must, because causal histories involve unchanges [Lewis]
The events that suit semantics may not be the events that suit causation [Lewis]
Events have inbuilt essences, as necessary conditions for their occurrence [Lewis]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
An event is a property of a unique space-time region [Lewis]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Properties are very abundant (unlike universals), and are used for semantics and higher-order variables [Lewis]
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 [Husserl, by Frege]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]
Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / C. Causation / 1. Causation
Causation is a general relation derived from instances of causal dependence [Lewis]