22 ideas
2922 | All intelligent Romans were Epicureans [Nietzsche] |
23520 | Truth has had to be fought for, and normal life must be sacrificed to achieve it [Nietzsche] |
2914 | One must never ask whether truth is useful [Nietzsche] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
9182 | Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
9181 | The causal theory of reference can't distinguish just hearing a name from knowing its use [Dummett] |
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] |