Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'On the Infinite' and 'Jerry A. Fodor on himself'

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19 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
Only the finite can bring certainty to the infinite [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Associations are held to connect Ideas together in the way the world is connected together [Fodor]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentional science needs objects with semantic and causal properties, and which obey laws [Fodor]
Intentional states and processes may be causal relations among mental symbols [Fodor]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Most psychological properties seem to be multiply realisable [Fodor]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology explains behaviour by reference to intentional states like belief and desire [Fodor]
18. Thought / C. Content / 6. Broad Content
How could the extrinsic properties of thoughts supervene on their intrinsic properties? [Fodor]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
Laws are true generalisations which support counterfactuals and are confirmed by instances [Fodor]