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All the ideas for 'What is Logic?st1=Ian Hacking', 'Review of Frege's 'Grundlagen'' and 'From Supervenience to Superdupervenience'

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18 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]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
9992 The 'extension of a concept' in general may be quantitatively completely indeterminate [Cantor]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
16052 'Superdupervenience' is supervenience that has a robustly materialistic explanation [Horgan,T]
16053 'Global' supervenience is facts tracking varying physical facts in every possible world [Horgan,T]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16056 Don't just observe supervenience - explain it! [Horgan,T]
7. Existence / D. Theories of Reality / 6. Physicalism
16054 Physicalism needs more than global supervenience on the physical [Horgan,T]
16055 Materialism requires that physics be causally complete [Horgan,T]
14. Science / B. Scientific Theories / 3. Instrumentalism
16057 Instrumentalism normally says some discourse is useful, but not genuinely true [Horgan,T]