57 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] |
| 18194 | 'Forcing' can produce new models of ZFC from old models [Maddy] |
| 18195 | A Large Cardinal Axiom would assert ever-increasing stages in the hierarchy [Maddy] |
| 18191 | Axiom of Infinity: completed infinite collections can be treated mathematically [Maddy] |
| 18193 | The Axiom of Foundation says every set exists at a level in the set hierarchy [Maddy] |
| 18169 | Axiom of Reducibility: propositional functions are extensionally predicative [Maddy] |
| 18168 | 'Propositional functions' are propositions with a variable as subject or predicate [Maddy] |
| 18190 | Completed infinities resulted from giving foundations to calculus [Maddy] |
| 18171 | Cantor and Dedekind brought completed infinities into mathematics [Maddy] |
| 18172 | Infinity has degrees, and large cardinals are the heart of set theory [Maddy] |
| 18175 | For any cardinal there is always a larger one (so there is no set of all sets) [Maddy] |
| 18196 | An 'inaccessible' cardinal cannot be reached by union sets or power sets [Maddy] |
| 18187 | Theorems about limits could only be proved once the real numbers were understood [Maddy] |
| 18182 | The extension of concepts is not important to me [Maddy] |
| 18177 | In the ZFC hierarchy it is impossible to form Frege's set of all three-element sets [Maddy] |
| 18164 | Frege solves the Caesar problem by explicitly defining each number [Maddy] |
| 18184 | Making set theory foundational to mathematics leads to very fruitful axioms [Maddy] |
| 18185 | Unified set theory gives a final court of appeal for mathematics [Maddy] |
| 18183 | Set theory brings mathematics into one arena, where interrelations become clearer [Maddy] |
| 18163 | Mathematics rests on the logic of proofs, and on the set theoretic axioms [Maddy] |
| 18186 | Identifying geometric points with real numbers revealed the power of set theory [Maddy] |
| 18188 | The line of rationals has gaps, but set theory provided an ordered continuum [Maddy] |
| 18207 | Maybe applications of continuum mathematics are all idealisations [Maddy] |
| 18204 | Scientists posit as few entities as possible, but set theorist posit as many as possible [Maddy] |
| 18167 | We can get arithmetic directly from HP; Law V was used to get HP from the definition of number [Maddy] |
| 18205 | The theoretical indispensability of atoms did not at first convince scientists that they were real [Maddy] |
| 18206 | Science idealises the earth's surface, the oceans, continuities, and liquids [Maddy] |
| 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] |
| 19451 | When absorbed in deep reflection, is your reason in control, or is it you? [Feuerbach] |
| 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] |
| 19450 | Reason, love and will are the highest perfections and essence of man - the purpose of his life [Feuerbach] |
| 18307 | I want my work, not happiness! [Nietzsche] |
| 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] |
| 19448 | Consciousness is said to distinguish man from animals - consciousness of his own species [Feuerbach] |
| 18292 | I can only believe in a God who can dance [Nietzsche] |
| 19454 | A God needs justice, kindness and wisdom, but those concepts don't depend on the concept of God [Feuerbach] |
| 19452 | The nature of God is an expression of human nature [Feuerbach] |
| 19453 | If love, goodness and personality are human, the God who is their source is anthropomorphic [Feuerbach] |
| 18298 | Not being a god is insupportable, so there are no gods! [Nietzsche] |
| 19449 | Religion is the consciousness of the infinite [Feuerbach] |
| 19455 | Today's atheism will tomorrow become a religion [Feuerbach] |
| 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] |