Combining Texts

All the ideas for 'Logical Consequence', 'Merely Possible Propositions' and 'The Ultimate Constituents of Matter'

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19 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]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes, grouped by a convenient property, are logical constructions [Russell]
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 / D. Theories of Reality / 4. Anti-realism
Visible things are physical and external, but only exist when viewed [Russell]
9. Objects / A. Existence of Objects / 4. Impossible objects
Predicates can't apply to what doesn't exist [Stalnaker]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Sense-data are purely physical [Russell]
If my body literally lost its mind, the object seen when I see a flash would still exist [Russell]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
A man is a succession of momentary men, bound by continuity and causation [Russell]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
We could probably, in principle, infer minds from brains, and brains from minds [Russell]
19. Language / D. Propositions / 3. Concrete Propositions
A 'Russellian proposition' is an ordered sequence of individual, properties and relations [Stalnaker]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Matter requires a division into time-corpuscles as well as space-corpuscles [Russell]
Matter is a logical construction [Russell]
27. Natural Reality / C. Space / 2. Space
Six dimensions are needed for a particular, three within its own space, and three to locate that space [Russell]