43 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] |
| 8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
| 8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
| 18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
| 8764 | Categories are the best foundation for mathematics [Shapiro] |
| 8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
| 8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
| 8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
| 8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
| 8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
| 8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
| 8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
| 8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
| 8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
| 8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
| 8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
| 21500 | We rely on memory for empirical beliefs because they mutually support one another [Lewis,CI] |
| 21501 | If we doubt memories we cannot assess our doubt, or what is being doubted [Lewis,CI] |
| 6556 | If anything is to be probable, then something must be certain [Lewis,CI] |
| 21498 | Congruents assertions increase the probability of each individual assertion in the set [Lewis,CI] |
| 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] |
| 5828 | Extension is the class of things, intension is the correct definition of the thing, and intension determines extension [Lewis,CI] |
| 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] |
| 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] |