Combining Texts

All the ideas for 'What is Logic?st1=Ian Hacking', 'Psychophysical supervenience' and 'Knowledge:Readings in Cont.Epist'

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

22 ideas

2. Reason / D. Definition / 3. Types of Definition
13838 A decent modern definition should always imply a semantics [Hacking]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
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]
13833 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [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 / 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 / B. Properties / 4. Intrinsic Properties
15456 Extrinsic properties, unlike intrinsics, imply the existence of a separate object [Kim, by Lewis]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
3756 Perception, introspection, testimony, memory, reason, and inference can give us knowledge [Bernecker/Dretske]
12. Knowledge Sources / B. Perception / 7. Causal Perception
3757 Causal theory says true perceptions must be caused by the object perceived [Bernecker/Dretske]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
3759 You can acquire new knowledge by exploring memories [Bernecker/Dretske]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
3752 Justification can be of the belief, or of the person holding the belief [Bernecker/Dretske]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
3753 Foundationalism aims to avoid an infinite regress [Bernecker/Dretske]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
3754 Infallible sensations can't be foundations if they are non-epistemic [Bernecker/Dretske]
13. Knowledge Criteria / C. External Justification / 1. External Justification
3755 Justification is normative, so it can't be reduced to cognitive psychology [Bernecker/Dretske]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
3761 Modern arguments against the sceptic are epistemological and semantic externalism, and the focus on relevance [Bernecker/Dretske]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
3760 Predictions are bound to be arbitrary if they depend on the language used [Bernecker/Dretske]
18. Thought / C. Content / 6. Broad Content
3758 Semantic externalism ties content to the world, reducing error [Bernecker/Dretske]