24 ideas
10017 | Truth in a model is more tractable than the general notion of truth [Hodes] |
10018 | Truth is quite different in interpreted set theory and in the skeleton of its language [Hodes] |
9540 | A 'value-assignment' (V) is when to each variable in the set V assigns either the value 1 or the value 0 [Hughes/Cresswell] |
9541 | The Law of Transposition says (P→Q) → (¬Q→¬P) [Hughes/Cresswell] |
9543 | The rules preserve validity from the axioms, so no thesis negates any other thesis [Hughes/Cresswell] |
10015 | Higher-order logic may be unintelligible, but it isn't set theory [Hodes] |
10011 | Identity is a level one relation with a second-order definition [Hodes] |
10016 | When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes] |
9544 | A system is 'weakly' complete if all wffs are derivable, and 'strongly' if theses are maximised [Hughes/Cresswell] |
10027 | Mathematics is higher-order modal logic [Hodes] |
10026 | Arithmetic must allow for the possibility of only a finite total of objects [Hodes] |
10021 | It is claimed that numbers are objects which essentially represent cardinality quantifiers [Hodes] |
10022 | Numerical terms can't really stand for quantifiers, because that would make them first-level [Hodes] |
3523 | Shadows are supervenient on their objects, but not reducible [Maslin] |
3517 | 'Ontology' means 'study of things which exist' [Maslin] |
10023 | Talk of mirror images is 'encoded fictions' about real facts [Hodes] |
3538 | Analogy to other minds is uncheckable, over-confident and chauvinistic [Maslin] |
3540 | If we are brains then we never meet each other [Maslin] |
3518 | I'm not the final authority on my understanding of maths [Maslin] |
3530 | Denial of purely mental causation will lead to epiphenomenalism [Maslin] |
3520 | Token-identity removes the explanatory role of the physical [Maslin] |
3528 | Causality may require that a law is being followed [Maslin] |
3525 | Strict laws make causation logically necessary [Maslin] |
3527 | Strict laws allow no exceptions and are part of a closed system [Maslin] |