Combining Texts

All the ideas for 'Logical Consequence', 'The Rationalists' and 'Impossible Objects: interviews'

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21 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
Philosophy really got started as the rival mode of discourse to tragedy [Critchley]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy begins in disappointment, notably in religion and politics [Critchley]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Science gives us an excessively theoretical view of life [Critchley]
1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Phenomenology uncovers and redescribes the pre-theoretical layer of life [Critchley]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
The notion of substance lies at the heart of rationalist metaphysics [Cottingham]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Wallace Stevens is the greatest philosophical poet of the twentieth century in English [Critchley]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Interesting art is always organised around ethical demands [Critchley]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
The problems is not justifying ethics, but motivating it. Why should a self seek its good? [Critchley]
24. Political Theory / D. Ideologies / 2. Anarchism
The state, law, bureaucracy and capital are limitations on life, so I prefer federalist anarchism [Critchley]
Anarchism used to be libertarian (especially for sexuality), but now concerns responsibility [Critchley]
24. Political Theory / D. Ideologies / 3. Conservatism
Belief that humans are wicked leads to authoritarian politics [Critchley]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
For rationalists, it is necessary that effects be deducible from their causes [Cottingham]