46 ideas
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
2557 | Analytical philosophy seems to have little interest in how to tell a good analysis from a bad one [Rorty] |
2556 | Rational certainty may be victory in argument rather than knowledge of facts [Rorty] |
4726 | Rorty seems to view truth as simply being able to hold one's view against all comers [Rorty, by O'Grady] |
2549 | For James truth is "what it is better for us to believe" rather than a correct picture of reality [Rorty] |
9724 | Until the 1960s the only semantics was truth-tables [Enderton] |
9703 | 'dom R' indicates the 'domain' of objects having a relation [Enderton] |
9705 | 'fld R' indicates the 'field' of all objects in the relation [Enderton] |
9704 | 'ran R' indicates the 'range' of objects being related to [Enderton] |
9710 | We write F:A→B to indicate that A maps into B (the output of F on A is in B) [Enderton] |
9707 | 'F(x)' is the unique value which F assumes for a value of x [Enderton] |
9712 | A relation is 'symmetric' on a set if every ordered pair has the relation in both directions [Enderton] |
9713 | A relation is 'transitive' if it can be carried over from two ordered pairs to a third [Enderton] |
9699 | The 'powerset' of a set is all the subsets of a given set [Enderton] |
9700 | Two sets are 'disjoint' iff their intersection is empty [Enderton] |
9702 | A 'domain' of a relation is the set of members of ordered pairs in the relation [Enderton] |
9701 | A 'relation' is a set of ordered pairs [Enderton] |
9706 | A 'function' is a relation in which each object is related to just one other object [Enderton] |
9708 | A function 'maps A into B' if the relating things are set A, and the things related to are all in B [Enderton] |
9709 | A function 'maps A onto B' if the relating things are set A, and the things related to are set B [Enderton] |
9711 | A relation is 'reflexive' on a set if every member bears the relation to itself [Enderton] |
9714 | A relation satisfies 'trichotomy' if all pairs are either relations, or contain identical objects [Enderton] |
9717 | A set is 'dominated' by another if a one-to-one function maps the first set into a subset of the second [Enderton] |
9715 | An 'equivalence relation' is a reflexive, symmetric and transitive binary relation [Enderton] |
9716 | We 'partition' a set into distinct subsets, according to each relation on its objects [Enderton] |
9722 | Inference not from content, but from the fact that it was said, is 'conversational implicature' [Enderton] |
9718 | Validity is either semantic (what preserves truth), or proof-theoretic (following procedures) [Enderton] |
9721 | A logical truth or tautology is a logical consequence of the empty set [Enderton] |
9994 | A truth assignment to the components of a wff 'satisfy' it if the wff is then True [Enderton] |
9719 | A proof theory is 'sound' if its valid inferences entail semantic validity [Enderton] |
9720 | A proof theory is 'complete' if semantically valid inferences entail proof-theoretic validity [Enderton] |
9995 | Proof in finite subsets is sufficient for proof in an infinite set [Enderton] |
9996 | Expressions are 'decidable' if inclusion in them (or not) can be proved [Enderton] |
9997 | For a reasonable language, the set of valid wff's can always be enumerated [Enderton] |
9723 | Sentences with 'if' are only conditionals if they can read as A-implies-B [Enderton] |
2548 | If knowledge is merely justified belief, justification is social [Rorty] |
6599 | Knowing has no definable essence, but is a social right, found in the context of conversations [Rorty] |
2566 | You can't debate about whether to have higher standards for the application of words [Rorty] |
2553 | The mind is a property, or it is baffling [Rorty] |
2550 | Pain lacks intentionality; beliefs lack qualia [Rorty] |
2554 | Is intentionality a special sort of function? [Rorty] |
2565 | Nature has no preferred way of being represented [Rorty] |
2560 | Can meanings remain the same when beliefs change? [Rorty] |
2562 | A theory of reference seems needed to pick out objects without ghostly inner states [Rorty] |
2559 | Davidson's theory of meaning focuses not on terms, but on relations between sentences [Rorty] |
2558 | Since Hegel we have tended to see a human as merely animal if it is outside a society [Rorty] |