34 ideas
2922 | All intelligent Romans were Epicureans [Nietzsche] |
8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
12223 | It is a fallacy to explain the obscure with the even more obscure [Hale/Wright] |
2914 | One must never ask whether truth is useful [Nietzsche] |
23520 | Truth has had to be fought for, and normal life must be sacrificed to achieve it [Nietzsche] |
13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
12230 | Singular terms refer if they make certain atomic statements true [Hale/Wright] |
6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
12225 | Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright] |
12224 | Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright] |
12226 | The identity of Pegasus with Pegasus may be true, despite the non-existence [Hale/Wright] |
12229 | Maybe we have abundant properties for semantics, and sparse properties for ontology [Hale/Wright] |
18443 | A successful predicate guarantees the existence of a property - the way of being it expresses [Hale/Wright] |
12227 | Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright] |
12228 | Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright] |
12231 | Reference needs truth as well as sense [Hale/Wright] |
2921 | Philosophy grasps the limits of human reason, and values are beyond it [Nietzsche] |
20138 | Christianity is at war with the higher type of man, and excommunicates his basic instincts [Nietzsche] |
20375 | Virtues must be highly personal; if not, it is merely respect for a concept [Nietzsche] |
2915 | Each person should devise his own virtues and categorical imperative [Nietzsche] |
2920 | A God who cures us of a head cold at the right moment is a total absurdity [Nietzsche] |
2917 | Christianity is a revolt of things crawling on the ground against elevated things [Nietzsche] |
2918 | The story in Genesis is the story of God's fear of science [Nietzsche] |
2919 | 'Faith' means not wanting to know what is true [Nietzsche] |
2916 | The great lie of immortality destroys rationality and natural instinct [Nietzsche] |