Combining Texts

All the ideas for 'Particulars in Particular Clothing', 'Model Theory' and 'Mental Acts: their content and their objects'

expand these ideas     |    start again     |     specify just one area for these texts

25 ideas

2. Reason / D. Definition / 7. Contextual Definition
10476 The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10478 Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10477 |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
10474 |= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10475 A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
10473 Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
10481 Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
10480 First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
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]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
18431 Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards]
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]