Combining Texts

All the ideas for 'Logical Consequence', 'The Foundations of Mathematics' and 'works'

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15 ideas

2. Reason / A. Nature of Reason / 7. Status of Reason
21945 Foucault originally felt that liberating reason had become an instrument of domination [Foucault, by Gutting]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
10688 '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
10690 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
10691 Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10695 Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
10689 A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
18844 You would cripple mathematics if you denied Excluded Middle [Hilbert]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10696 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
10693 Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10692 Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
13. Knowledge Criteria / E. Relativism / 1. Relativism
21942 Foucault challenges knowledge in psychology and sociology, not in the basic sciences [Foucault, by Gutting]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
21941 Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
21939 The author function of any text is a plurality of selves [Foucault, by Gutting]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
21940 Nature is not the basis of rights, but the willingness to risk death in asserting them [Foucault]
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
21116 Power is used to create identities and ways of life for other people [Foucault, by Shorten]