Combining Texts

All the ideas for 'Logical Consequence', 'The Sign of Four' and 'The Iliad'

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14 ideas

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]
14. Science / C. Induction / 1. Induction
If you eliminate the impossible, the truth will remain, even if it is weird [Conan Doyle]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Homer does not distinguish between soul and body [Homer, by Williams,B]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The 'will' doesn't exist; there is just conclusion, then action [Homer, by Williams,B]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
Plato says the Good produces the Intellectual-Principle, which in turn produces the Soul [Homer, by Plotinus]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Let there be one ruler [Homer]
28. God / C. Attitudes to God / 5. Atheism
Homer so enjoys the company of the gods that he must have been deeply irreligious [Homer, by Nietzsche]