30 ideas
9247 | Life will be lived better if it has no meaning [Camus] |
6707 | Suicide - whether life is worth living - is the one serious philosophical problem [Camus] |
9245 | To an absurd mind reason is useless, and there is nothing beyond reason [Camus] |
9244 | Logic is easy, but what about logic to the point of death? [Camus] |
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] |
12708 | The soul is not a substance but a substantial form, the first active faculty [Leibniz] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
9249 | Whether we are free is uninteresting; we can only experience our freedom [Camus] |
9253 | The human heart has a tiresome tendency to label as fate only what crushes it [Camus] |
9250 | Discussing ethics is pointless; moral people behave badly, and integrity doesn't need rules [Camus] |
9252 | The more one loves the stronger the absurd grows [Camus] |
9251 | One can be virtuous through a whim [Camus] |
9243 | If we believe existence is absurd, this should dictate our conduct [Camus] |
6708 | Happiness and the absurd go together, each leading to the other [Camus] |
9242 | Essential problems either risk death, or intensify the passion of life [Camus] |
9246 | Danger and integrity are not in the leap of faith, but in remaining poised just before the leap [Camus] |
9248 | It is essential to die unreconciled and not of one's own free will [Camus] |