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All the ideas for 'Laches', 'Mathematics without Foundations' and 'Mental Acts: their content and their objects'

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24 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
291 Don't assume that wisdom is the automatic consequence of old age [Plato]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
9937 I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
9939 It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9940 Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9941 Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
9943 You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
8780 Attributes are functions, not objects; this distinguishes 'square of 2' from 'double of 2' [Geach]
9. Objects / F. Identity among Objects / 9. Sameness
11910 Being 'the same' is meaningless, unless we specify 'the same X' [Geach]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
8775 A big flea is a small animal, so 'big' and 'small' cannot be acquired by abstraction [Geach]
8776 We cannot learn relations by abstraction, because their converse must be learned too [Geach]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
2567 You can't define real mental states in terms of behaviour that never happens [Geach]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
2568 Beliefs aren't tied to particular behaviours [Geach]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
8781 The mind does not lift concepts from experience; it creates them, and then applies them [Geach]
18. Thought / D. Concepts / 5. Concepts and Language / c. Concepts without language
8769 If someone has aphasia but can still play chess, they clearly have concepts [Geach]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
8770 'Abstractionism' is acquiring a concept by picking out one experience amongst a group [Geach]
18. Thought / E. Abstraction / 8. Abstractionism Critique
8771 'Or' and 'not' are not to be found in the sensible world, or even in the world of inner experience [Geach]
8772 We can't acquire number-concepts by extracting the number from the things being counted [Geach]
8773 Abstractionists can't explain counting, because it must precede experience of objects [Geach]
8774 The numbers don't exist in nature, so they cannot have been abstracted from there into our languages [Geach]
8778 Blind people can use colour words like 'red' perfectly intelligently [Geach]
8777 If 'black' and 'cat' can be used in the absence of such objects, how can such usage be abstracted? [Geach]
8779 We can form two different abstract concepts that apply to a single unified experience [Geach]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
293 Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]