Combining Texts

All the ideas for 'Troubles with Functionalism', 'Some Main Problems of Philosophy' and 'Set Theory and Its Philosophy'

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28 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation
17992 The main aim of philosophy is to describe the whole Universe. [Moore,GE]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10702 Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10713 Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13044 Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10708 Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13546 The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10707 Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10704 We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
10703 Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
10712 If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17882 It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
13043 A relation is a set consisting entirely of ordered pairs [Potter]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
13042 If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
13041 Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
10. Modality / A. Necessity / 1. Types of Modality
10709 Priority is a modality, arising from collections and members [Potter]
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]