70 ideas
19608 | Wisdom is just the last gasp of a dying civilization [Cioran] |
19624 | Intelligence only fully flourishes at the end of a historical period [Cioran] |
19599 | Ideas are neutral, but people fill them with passion and weakness [Cioran] |
19631 | The history of ideas (and deeds) occurs in a meaningless environment [Cioran] |
19645 | Some thinkers would have been just as dynamic, no matter when they had lived [Cioran] |
19629 | A nation gives expression to its sum of values, and is then exhausted [Cioran] |
19618 | I abandoned philosophy because it didn't acknowledge melancholy and human weakness [Cioran] |
19621 | Originality in philosophy is just the invention of terms [Cioran] |
19607 | The mind is superficial, only concerned with the arrangement of events, not their significance [Cioran] |
19638 | Metaphysics is a universalisation of physical anguish [Cioran] |
19620 | Great systems of philosophy are just brilliant tautologies [Cioran] |
19630 | No great idea ever emerged from a dialogue [Cioran] |
19636 | Truth is just an error insufficiently experienced [Cioran] |
19642 | Eventually every 'truth' is guaranteed by the police [Cioran] |
17824 | The master science is physical objects divided into sets [Maddy] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
19632 | An axiom has no more authority than a frenzy [Cioran] |
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] |
17825 | Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy] |
17826 | Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy] |
17828 | Numbers are properties of sets, just as lengths are properties of physical objects [Maddy] |
17827 | Sets exist where their elements are, but numbers are more like universals [Maddy] |
17830 | Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy] |
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] |
17823 | If mathematical objects exist, how can we know them, and which objects are they? [Maddy] |
17829 | Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy] |
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] |
19626 | Our instincts had to be blunted and diminished, to make way for consciousness! [Cioran] |
19633 | We use concepts to master our fears; saying 'death' releases us from confronting it [Cioran] |
19615 | I want to suppress in myself the normal reasons people have for action [Cioran] |
19628 | At a civilisation's peak values are all that matters, and people unconsciously live by them [Cioran] |
19646 | Values don't accumulate; they are ruthlessly replaced [Cioran] |
19614 | Lovers are hateful, apart from their hovering awareness of death [Cioran] |
19634 | Man is never himself; he always aims at less than life, or more than life [Cioran] |
19619 | To live authentically, we must see that philosophy is totally useless [Cioran] |
19622 | The pointlessness of our motives and irrelevance of our gestures reveals our vacuity [Cioran] |
19617 | Evidence suggests that humans do not have a purpose [Cioran] |
19612 | The universe is dirty and fragile, as if a scandal in nothingness had produced its matter [Cioran] |
19604 | Unlike other creatures, mankind seems lost in nature [Cioran] |
19606 | We can only live because our imagination and memory are poor [Cioran] |
19601 | Life is now more dreaded than death [Cioran] |
19640 | No one is brave enough to say they don't want to do anything; we despise such a view [Cioran] |
19602 | You are stuck in the past if you don't know boredom [Cioran] |
19644 | History is the bloody rejection of boredom [Cioran] |
19641 | If you lack beliefs, boredom is your martyrdom [Cioran] |
19613 | It is pointless to refuse or accept the social order; we must endure it like the weather [Cioran] |
19627 | Opportunists can save a nation, and heroes can ruin it [Cioran] |
19625 | The ideal is to impose a religion by force, and then live in doubt about its beliefs [Cioran] |
19605 | Despite endless suggestions, no one has found a goal for history [Cioran] |
19637 | History is wonderfully devoid of meaning [Cioran] |
19610 | Religions see suicide as insubordination [Cioran] |
19611 | No one has ever found a good argument against suicide [Cioran] |
19609 | If you have not contemplated suicide, you are a miserable worm [Cioran] |
19639 | We all need sexual secrets! [Cioran] |
19603 | Why is God so boring, and why does God resemble humanity so little? [Cioran] |
19616 | As the perfect wisdom of detachment, philosophy offers no rivals to Taoism [Cioran] |
19600 | When man abandons religion, he then follows new fake gods and mythologies [Cioran] |
19643 | A religion needs to motivate killings, and cannot tolerate rivals [Cioran] |
19623 | Circles of hell are ridiculous; all that matters is to be there [Cioran] |