Combining Texts

All the ideas for 'Troubles with Functionalism', 'Russell's Metaphysical Logic' and 'On the Nature of Mathematical Reasoning'

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25 ideas

2. Reason / D. Definition / 8. Impredicative Definition
21704 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21705 Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
21727 Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
21719 Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
15923 Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
21723 The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
21721 Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
21703 Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
21714 The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
21713 Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
21715 For those who abandon logicism, standard set theory is a rival option [Linsky,B]
8. Modes of Existence / B. Properties / 11. Properties as Sets
21729 Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
2584 Lobotomised patients can cease to care about a pain [Block]
15. Nature of Minds / B. Features of Minds / 5. Qualia / c. Explaining qualia
2582 A brain looks no more likely than anything else to cause qualia [Block]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
2574 Behaviour requires knowledge as well as dispositions [Block]
17. Mind and Body / C. Functionalism / 1. Functionalism
2576 In functionalism, desires are internal states with causal relations [Block]
2575 Functionalism is behaviourism, but with mental states as intermediaries [Block]
2583 You might invert colours, but you can't invert beliefs [Block]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
2578 Could a creature without a brain be in the right functional state for pain? [Block]
2585 Not just any old functional network will have mental states [Block]
2586 In functionalism, what are the special inputs and outputs of conscious creatures? [Block]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
2579 Physicalism is prejudiced in favour of our neurology, when other systems might have minds [Block]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
2577 Simple machine-functionalism says mind just is a Turing machine [Block]
2580 A Turing machine, given a state and input, specifies an output and the next state [Block]
19. Language / C. Assigning Meanings / 1. Syntax
2581 Intuition may say that a complex sentence is ungrammatical, but linguistics can show that it is not [Block]