Combining Texts

All the ideas for 'What is Logic?st1=Ian Hacking', 'The Will to Believe' and 'The Journals of Kierkegaard'

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19 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
16000 Fixed ideas should be tackled aggressively [Kierkegaard]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
16012 Philosophy can't be unbiased if it ignores language, as that is no more independent than individuals are [Kierkegaard]
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
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 / 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]
22. Metaethics / B. Value / 2. Values / g. Love
16003 If people marry just because they are lonely, that is self-love, not love [Kierkegaard]
23. Ethics / E. Utilitarianism / 4. Unfairness
6570 Imagine millions made happy on condition that one person suffers endless lonely torture [James]
23. Ethics / F. Existentialism / 4. Boredom
21910 Our destiny is the highest pitch of world-weariness [Kierkegaard]
23. Ethics / F. Existentialism / 7. Existential Action
16001 Life may be understood backwards, but it has to be lived forwards [Kierkegaard]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
16008 The best way to be a Christian is without 'Christianity' [Kierkegaard]
20735 We need to see that Christianity cannot be understood [Kierkegaard]