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All the ideas for 'The Sign of Four', 'Epistemic Norms' and 'Philosophical Logic'

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41 ideas

3. Truth / A. Truth Problems / 1. Truth
8820 Rules of reasoning precede the concept of truth, and they are what characterize it [Pollock]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
8819 We need the concept of truth for defeasible reasoning [Pollock]
4. Formal Logic / D. Modal Logic ML / 6. Temporal Logic
15413 With four tense operators, all complex tenses reduce to fourteen basic cases [Burgess]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
15415 The temporal Barcan formulas fix what exists, which seems absurd [Burgess]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
15430 Is classical logic a part of intuitionist logic, or vice versa? [Burgess]
15431 It is still unsettled whether standard intuitionist logic is complete [Burgess]
4. Formal Logic / E. Nonclassical Logics / 5. Relevant Logic
15429 Relevance logic's → is perhaps expressible by 'if A, then B, for that reason' [Burgess]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
15404 Technical people see logic as any formal system that can be studied, not a study of argument validity [Burgess]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
15405 Classical logic neglects the non-mathematical, such as temporality or modality [Burgess]
15421 Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them [Burgess]
15427 The Cut Rule expresses the classical idea that entailment is transitive [Burgess]
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
15403 Philosophical logic is a branch of logic, and is now centred in computer science [Burgess]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
15407 Formalising arguments favours lots of connectives; proving things favours having very few [Burgess]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / e. or
15424 Asserting a disjunction from one disjunct seems odd, but can be sensible, and needed in maths [Burgess]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
15409 All occurrences of variables in atomic formulas are free [Burgess]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
15414 The denotation of a definite description is flexible, rather than rigid [Burgess]
5. Theory of Logic / H. Proof Systems / 1. Proof Systems
15406 'Induction' and 'recursion' on complexity prove by connecting a formula to its atomic components [Burgess]
5. Theory of Logic / H. Proof Systems / 6. Sequent Calculi
15426 We can build one expanding sequence, instead of a chain of deductions [Burgess]
15425 The sequent calculus makes it possible to have proof without transitivity of entailment [Burgess]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
15408 'Tautologies' are valid formulas of classical sentential logic - or substitution instances in other logics [Burgess]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
15418 Validity (for truth) and demonstrability (for proof) have correlates in satisfiability and consistency [Burgess]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
15411 We only need to study mathematical models, since all other models are isomorphic to these [Burgess]
15412 Models leave out meaning, and just focus on truth values [Burgess]
15416 We aim to get the technical notion of truth in all models matching intuitive truth in all instances [Burgess]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
15428 The Liar seems like a truth-value 'gap', but dialethists see it as a 'glut' [Burgess]
10. Modality / A. Necessity / 2. Nature of Necessity
8822 Statements about necessities need not be necessarily true [Pollock]
10. Modality / A. Necessity / 4. De re / De dicto modality
15420 De re modality seems to apply to objects a concept intended for sentences [Burgess]
10. Modality / A. Necessity / 6. Logical Necessity
15417 Logical necessity has two sides - validity and demonstrability - which coincide in classical logic [Burgess]
15419 General consensus is S5 for logical modality of validity, and S4 for proof [Burgess]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
15423 It is doubtful whether the negation of a conditional has any clear meaning [Burgess]
15422 Three conditionals theories: Materialism (material conditional), Idealism (true=assertable), Nihilism (no truth) [Burgess]
11. Knowledge Aims / A. Knowledge / 4. Belief / f. Animal beliefs
8818 Defeasible reasoning requires us to be able to think about our thoughts [Pollock]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
8811 What we want to know is - when is it all right to believe something? [Pollock]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
8817 Logical entailments are not always reasons for beliefs, because they may be irrelevant [Pollock]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
8814 Epistemic norms are internalised procedural rules for reasoning [Pollock]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
8823 Reasons are always for beliefs, but a perceptual state is a reason without itself being a belief [Pollock]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
8813 If we have to appeal explicitly to epistemic norms, that will produce an infinite regress [Pollock]
13. Knowledge Criteria / C. External Justification / 1. External Justification
8812 Norm Externalism says norms must be internal, but their selection is partly external [Pollock]
8816 Externalists tend to take a third-person point of view of epistemology [Pollock]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
8815 Belief externalism is false, because external considerations cannot be internalized for actual use [Pollock]
14. Science / C. Induction / 1. Induction
22200 If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]