71 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] |
| 10859 | A set is 'well-ordered' if every subset has a first element [Clegg] |
| 10857 | Set theory made a closer study of infinity possible [Clegg] |
| 10864 | Any set can always generate a larger set - its powerset, of subsets [Clegg] |
| 10872 | Extensionality: Two sets are equal if and only if they have the same elements [Clegg] |
| 10875 | Pairing: For any two sets there exists a set to which they both belong [Clegg] |
| 10876 | Unions: There is a set of all the elements which belong to at least one set in a collection [Clegg] |
| 10878 | Infinity: There exists a set of the empty set and the successor of each element [Clegg] |
| 10877 | Powers: All the subsets of a given set form their own new powerset [Clegg] |
| 10879 | Choice: For every set a mechanism will choose one member of any non-empty subset [Clegg] |
| 10871 | Axiom of Existence: there exists at least one set [Clegg] |
| 10874 | Specification: a condition applied to a set will always produce a new set [Clegg] |
| 19632 | An axiom has no more authority than a frenzy [Cioran] |
| 10880 | Mathematics can be 'pure' (unapplied), 'real' (physically grounded); or 'applied' (just applicable) [Clegg] |
| 10861 | Beyond infinity cardinals and ordinals can come apart [Clegg] |
| 10860 | An ordinal number is defined by the set that comes before it [Clegg] |
| 10854 | Transcendental numbers can't be fitted to finite equations [Clegg] |
| 10858 | By adding an axis of imaginary numbers, we get the useful 'number plane' instead of number line [Clegg] |
| 10853 | Either lack of zero made early mathematics geometrical, or the geometrical approach made zero meaningless [Clegg] |
| 10866 | Cantor's account of infinities has the shaky foundation of irrational numbers [Clegg] |
| 10869 | The Continuum Hypothesis is independent of the axioms of set theory [Clegg] |
| 10862 | The 'continuum hypothesis' says aleph-one is the cardinality of the reals [Clegg] |
| 16730 | If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi] |
| 16619 | We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi] |
| 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] |
| 16593 | Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi] |
| 16729 | How do mere atoms produce qualities like colour, flavour and odour? [Gassendi] |
| 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] |