Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Karl Weierstrass and H.H. Price

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16 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
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]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
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]
There may be degrees of abstraction which allow recognition by signs, without full concepts [Price,HH]
If judgement of a characteristic is possible, that part of abstraction must be complete [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 / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
We reach concepts by clarification, or by definition, or by habitual experience [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
Our understanding of 'dog' or 'house' arises from a repeated experience of concomitances [Price,HH]
The basic concepts of conceptual cognition are acquired by direct abstraction from instances [Price,HH]
A 'felt familiarity' with universals is more primitive than abstraction [Price,HH]