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All the ideas for 'What is Logic?st1=Ian Hacking', 'Nihilism without Self-Contradiction' and 'A Materialist Theory of Mind (Rev)'

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19 ideas

2. Reason / D. Definition / 3. Types of Definition
13838 A decent modern definition should always imply a semantics [Hacking]
2. Reason / F. Fallacies / 7. Ad Hominem
14231 We should always apply someone's theory of meaning to their own utterances [Liggins]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
13833 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
13834 Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
13835 Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13845 The various logics are abstractions made from terms like 'if...then' in English [Hacking]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
13840 First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
13844 A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
13842 Second-order completeness seems to need intensional entities and possible worlds [Hacking]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
13837 With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
13839 Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14232 We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
13843 If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
14330 To be realists about dispositions, we can only discuss them through their categorical basis [Armstrong]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
14233 Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
6498 Armstrong suggests secondary qualities are blurred primary qualities [Armstrong, by Robinson,H]
16. Persons / C. Self-Awareness / 1. Introspection
5690 A mental state without belief refutes self-intimation; a belief with no state refutes infallibility [Armstrong, by Shoemaker]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
5493 If pains are defined causally, and research shows that the causal role is physical, then pains are physical [Armstrong, by Lycan]
4600 Armstrong and Lewis see functionalism as an identity of the function and its realiser [Armstrong, by Heil]