Combining Texts

All the ideas for 'fragments/reports', 'Thinking and Experience' and 'Logicism, Some Considerations (PhD)'

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15 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
An adequate account of a number must relate it to its series [Benacerraf]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Some dispositional properties (such as mental ones) may have no categorical base [Price,HH]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Before we can abstract from an instance of violet, we must first recognise it [Price,HH]
If judgement of a characteristic is possible, that part of abstraction must be complete [Price,HH]
There may be degrees of abstraction which allow recognition by signs, without full concepts [Price,HH]
There is pre-verbal sign-based abstraction, as when ice actually looks cold [Price,HH]
Intelligent behaviour, even in animals, has something abstract about it [Price,HH]
18. Thought / A. Modes of Thought / 1. Thought
Recognition must precede the acquisition of basic concepts, so it is the fundamental intellectual process [Price,HH]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstractions can be interpreted dispositionally, as the ability to recognise or imagine an item [Price,HH]
If ideas have to be images, then abstract ideas become a paradoxical problem [Price,HH]
18. Thought / E. Abstraction / 2. Abstracta by Selection
The basic concepts of conceptual cognition are acquired by direct abstraction from instances [Price,HH]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]