Combining Texts

All the ideas for 'Logical Consequence', 'Events as property exemplifications' and 'Unity of Science as a Working Hypothesis'

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15 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]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
How fine-grained Kim's events are depends on how finely properties are individuated [Kim, by Schaffer,J]
Events are composed of an object with an attribute at a time [Kim, by Simons]
Events cannot be merely ordered triples, but must specify the link between the elements [Kim, by Simons]
If events are ordered triples of items, such things seem to be sets, and hence abstract [Simons on Kim]
Since properties like self-identity and being 2+2=4 are timeless, Kim must restrict his properties [Simons on Kim]
Kim's theory results in too many events [Simons on Kim]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]