Combining Texts

All the ideas for 'Logical Consequence', 'Letters to Russell' and 'A Materialist Theory of Mind (Rev)'

expand these ideas     |    start again     |     specify just one area for these texts


16 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 / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]
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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
To be realists about dispositions, we can only discuss them through their categorical basis [Armstrong]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Logical objects are extensions of concepts, or ranges of values of functions [Frege]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Armstrong suggests secondary qualities are blurred primary qualities [Armstrong, by Robinson,H]
16. Persons / C. Self-Awareness / 1. Introspection
A mental state without belief refutes self-intimation; a belief with no state refutes infallibility [Armstrong, by Shoemaker]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
If pains are defined causally, and research shows that the causal role is physical, then pains are physical [Armstrong, by Lycan]
Armstrong and Lewis see functionalism as an identity of the function and its realiser [Armstrong, by Heil]