54 ideas
| 18290 | But what is the reasoning of the body, that it requires the wisdom you seek? [Nietzsche] |
| 18303 | Reject wisdom that lacks laughter [Nietzsche] |
| 18305 | To love truth, you must know how to lie [Nietzsche] |
| 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] |
| 20757 | The powerful self behind your thoughts and feelings is your body [Nietzsche] |
| 18289 | Forget the word 'I'; 'I' is performed by the intelligence of your body [Nietzsche] |
| 18299 | The will is constantly frustrated by the past [Nietzsche] |
| 18297 | We created meanings, to maintain ourselves [Nietzsche] |
| 18293 | The noble man wants new virtues; the good man preserves what is old [Nietzsche] |
| 18301 | We only really love children and work [Nietzsche] |
| 18307 | I want my work, not happiness! [Nietzsche] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| 18291 | Virtues can destroy one another, through jealousy [Nietzsche] |
| 18287 | People now find both wealth and poverty too much of a burden [Nietzsche] |
| 18295 | If you want friends, you must be a fighter [Nietzsche] |
| 18286 | The greatest experience possible is contempt for your own happiness, reason and virtue [Nietzsche] |
| 18296 | An enduring people needs its own individual values [Nietzsche] |
| 18294 | The state coldly claims that it is the people, but that is a lie [Nietzsche] |
| 18304 | Saints want to live as they desire, or not to live at all [Nietzsche] |
| 18300 | Whenever we have seen suffering, we have wanted the revenge of punishment [Nietzsche] |
| 18302 | Man and woman are deeply strange to one another! [Nietzsche] |
| 18292 | I can only believe in a God who can dance [Nietzsche] |
| 18298 | Not being a god is insupportable, so there are no gods! [Nietzsche] |
| 18288 | Heaven was invented by the sick and the dying [Nietzsche] |
| 18306 | We don't want heaven; now that we are men, we want the kingdom of earth [Nietzsche] |