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All the ideas for 'What is Logic?st1=Ian Hacking', 'Letter to Mersenne' and 'Truth (2nd edn)'

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24 ideas

2. Reason / D. Definition / 3. Types of Definition
13838 A decent modern definition should always imply a semantics [Hacking]
3. Truth / A. Truth Problems / 1. Truth
6334 The function of the truth predicate? Understanding 'true'? Meaning of 'true'? The concept of truth? A theory of truth? [Horwich]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
6342 Some correspondence theories concern facts; others are built up through reference and satisfaction [Horwich]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
6332 The common-sense theory of correspondence has never been worked out satisfactorily [Horwich]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
6335 The redundancy theory cannot explain inferences from 'what x said is true' and 'x said p', to p [Horwich]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
6344 Truth is a useful concept for unarticulated propositions and generalisations about them [Horwich]
6336 No deflationary conception of truth does justice to the fact that we aim for truth [Horwich]
23299 Horwich's deflationary view is novel, because it relies on propositions rather than sentences [Horwich, by Davidson]
6337 The deflationary picture says believing a theory true is a trivial step after believing the theory [Horwich]
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 / 1. Logical Form
6339 Logical form is the aspects of meaning that determine logical entailments [Horwich]
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]
16. Persons / F. Free Will / 3. Constraints on the will
3789 The more reasons that compel me, the freer I am [Descartes]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
6338 We could know the truth-conditions of a foreign sentence without knowing its meaning [Horwich]
19. Language / D. Propositions / 1. Propositions
6340 There are Fregean de dicto propositions, and Russellian de re propositions, or a mixture [Horwich]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
6341 Right translation is a mapping of languages which preserves basic patterns of usage [Horwich]