Combining Texts

All the ideas for 'Logical Consequence', 'Truth-maker Realism: response to Gregory' and 'Lectures on the Philosophy of Religion'

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11 ideas

3. Truth / B. Truthmakers / 2. Truthmaker Relation
18470 Maybe truth-making is an unanalysable primitive, but we can specify principles for it [Smith,B]
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 / 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]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
21798 To universalise 'give everything to the poor' leads to absurdity [Hegel]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
21797 Immortality does not come at a later time, but when pure knowing Spirit fully grasps the universal [Hegel]