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All the ideas for 'What is Logic?st1=Ian Hacking', 'Causal Relations' and 'Justice as fairness: Political not Metaphysical'

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19 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
The best way to do ontology is to make sense of our normal talk [Davidson]
2. Reason / D. Definition / 3. Types of Definition
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
Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
'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
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
First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
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
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
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
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
If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
If we don't assume that events exist, we cannot make sense of our common talk [Davidson]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Explanations typically relate statements, not events [Davidson]
23. Ethics / E. Utilitarianism / 4. Unfairness
The maximisation of happiness must be done fairly [Rawls, by Smart]
26. Natural Theory / C. Causation / 1. Causation
Distinguish causation, which is in the world, from explanations, which depend on descriptions [Davidson, by Schaffer,J]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Either facts, or highly unspecific events, serve better as causes than concrete events [Field,H on Davidson]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Full descriptions can demonstrate sufficiency of cause, but not necessity [Davidson]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
A singular causal statement is true if it is held to fall under a law [Davidson, by Psillos]