48 ideas
| 12330 | In ontology, logic dominated language, until logic was mathematized [Badiou] |
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| 12318 | The female body, when taken in its entirety, is the Phallus itself [Badiou] |
| 12325 | Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou] |
| 12324 | Consensus is the enemy of thought [Badiou] |
| 12337 | There is 'transivity' iff membership ∈ also means inclusion ⊆ [Badiou] |
| 12321 | The axiom of choice must accept an indeterminate, indefinable, unconstructible set [Badiou] |
| 12342 | Topos theory explains the plurality of possible logics [Badiou] |
| 12341 | Logic is a mathematical account of a universe of relations [Badiou] |
| 9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
| 12335 | Numbers are for measuring and for calculating (and the two must be consistent) [Badiou] |
| 12334 | There is no single unified definition of number [Badiou] |
| 12333 | Each type of number has its own characteristic procedure of introduction [Badiou] |
| 12322 | Must we accept numbers as existing when they no longer consist of units? [Badiou] |
| 9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
| 12327 | The undecidability of the Continuum Hypothesis may have ruined or fragmented set theory [Badiou] |
| 12329 | If mathematics is a logic of the possible, then questions of existence are not intrinsic to it [Badiou] |
| 12328 | Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou] |
| 12331 | Logic is definitional, but real mathematics is axiomatic [Badiou] |
| 9809 | Mathematics inscribes being as such [Badiou] |
| 12340 | There is no Being as a whole, because there is no set of all sets [Badiou] |
| 12323 | Existence is Being itself, but only as our thought decides it [Badiou] |
| 12332 | The modern view of Being comes when we reject numbers as merely successions of One [Badiou] |
| 12326 | The primitive name of Being is the empty set; in a sense, only the empty set 'is' [Badiou] |
| 9811 | It is of the essence of being to appear [Badiou] |
| 12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
| 12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
| 20420 | The emotion expressed is non-conscious, but feels oppressive until expression relieves it [Collingwood] |
| 20421 | Art exists ideally, purely as experiences in the mind of the perceiver [Collingwood, by Kemp] |
| 9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |
| 20406 | Art clarifies the artist's mind and feelings, thus leading to self-knowledge [Collingwood, by Davies,S] |
| 22673 | Wherever there is a small community, the association of the people is natural [Tocqueville] |
| 22676 | The people are just individuals, and only present themselves as united to foreigners [Tocqueville] |
| 22679 | Vast empires are bad for well-being and freedom, though they may promote glory [Tocqueville] |
| 22680 | People would be much happier and freer in small nations [Tocqueville] |
| 22675 | In American judges rule according to the Constitution, not the law [Tocqueville] |
| 22677 | A monarchical family is always deeply concerned with the interests of the state [Tocqueville] |
| 22683 | Despots like to see their own regulations ignored, by themselves and their agents [Tocqueville] |
| 22669 | Aristocracy is constituted by inherited landed property [Tocqueville] |
| 22674 | In Europe it is thought that local government is best handled centrally [Tocqueville] |
| 22678 | An election, and its lead up time, are always a national crisis [Tocqueville] |
| 22682 | Universal suffrage is no guarantee of wise choices [Tocqueville] |
| 22670 | Slavery undermines the morals and energy of a society [Tocqueville] |
| 22681 | The liberty of the press is more valuable for what it prevents than what it promotes [Tocqueville] |
| 22672 | It is admirable to elevate the humble to the level of the great, but the opposite is depraved [Tocqueville] |
| 22671 | Equality can only be established by equal rights for all (or no rights for anyone) [Tocqueville] |
| 12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
| 12317 | The God of religion results from an encounter, not from a proof [Badiou] |