Combining Texts

All the ideas for 'Logical Consequence', 'Bertrand Russell: Spirit of Solitude' and 'Transworld Identity or worldbound Individuals?'

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16 ideas

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]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
11984 Asserting a possible property is to say it would have had the property if that world had been actual [Plantinga]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
11980 A possible world is a maximal possible state of affairs [Plantinga]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
11982 If possible Socrates differs from actual Socrates, the Indiscernibility of Identicals says they are different [Plantinga]
11983 It doesn't matter that we can't identify the possible Socrates; we can't identify adults from baby photos [Plantinga]
11985 If individuals can only exist in one world, then they can never lack any of their properties [Plantinga]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
11986 The counterparts of Socrates have self-identity, but only the actual Socrates has identity-with-Socrates [Plantinga]
11987 Counterpart Theory absurdly says I would be someone else if things went differently [Plantinga]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
7535 If all beliefs are propositional, then belief and judgement are the same thing [Monk]