40 ideas
12330 | In ontology, logic dominated language, until logic was mathematized [Badiou] |
12318 | The female body, when taken in its entirety, is the Phallus itself [Badiou] |
12780 | We can grasp the wisdom of God a priori [Leibniz] |
12325 | Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou] |
12324 | Consensus is the enemy of thought [Badiou] |
20768 | Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius] |
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] |
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] |
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] |
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] |
12774 | Without a substantial chain to link monads, they would just be coordinated dreams [Leibniz] |
12782 | Monads control nothing outside of themselves [Leibniz] |
12777 | Monads do not make a unity unless a substantial chain is added to them [Leibniz] |
12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
12778 | There is active and passive power in the substantial chain and in the essence of a composite [Leibniz] |
12783 | Primitive force is what gives a composite its reality [Leibniz] |
12775 | Things seem to be unified if we see duration, position, interaction and connection [Leibniz] |
12776 | Every substance is alive [Leibniz] |
12753 | A substantial bond of powers is needed to unite composites, in addition to monads [Leibniz] |
12781 | A composite substance is a mere aggregate if its essence is just its parts [Leibniz] |
12779 | There is a reason why not every possible thing exists [Leibniz] |
12785 | Truth is mutually agreed perception [Leibniz] |
12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
3049 | The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius] |
3549 | Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas] |
12316 | For Enlightenment philosophers, God was no longer involved in politics [Badiou] |
12784 | Allow no more miracles than are necessary [Leibniz] |
12317 | The God of religion results from an encounter, not from a proof [Badiou] |