Combining Texts

All the ideas for 'Logical Consequence', 'Letters' and '68: Generation of the soul in 'Timaeus''

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13 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]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Some say emotion is a sort of reason, and others say virtue concerns emotion [Plutarch]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
When we admire a work, we see ourselves as its creator [Weil]
25. Social Practice / B. Equalities / 1. Grounds of equality
Relationships depend on equality, so unequal treatment kills them [Weil]
29. Religion / B. Monotheistic Religion / 5. Bible
The cruelty of the Old Testament put me off Christianity [Weil]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil]