52 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] |
| 21761 | If we start with indeterminate being, we arrive at being and nothing as a united pair [Hegel, by Houlgate] |
| 21764 | Thought about being leads to a string of other concepts, like becoming, quantity, specificity, causality... [Hegel, by Houlgate] |
| 21769 | We must start with absolute abstraction, with no presuppositions, so we start with pure being [Hegel] |
| 12325 | Philosophy has been relieved of physics, cosmology, politics, and now must give up ontology [Badiou] |
| 12324 | Consensus is the enemy of thought [Badiou] |
| 22037 | Objectivity is not by correspondence, but by the historical determined necessity of Geist [Hegel, by Pinkard] |
| 21983 | Being and nothing are the same and not the same, which is the identity of identity and non-identity [Hegel] |
| 21985 | The so-called world is filled with contradiction [Hegel] |
| 21766 | Dialectic is the instability of thoughts generating their opposite, and then new more complex thoughts [Hegel, by Houlgate] |
| 21978 | Hegel's dialectic is not thesis-antithesis-synthesis, but usually negation of negation of the negation [Hegel, by Moore,AW] |
| 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] |
| 21762 | To grasp an existence, we must consider its non-existence [Hegel, by Houlgate] |
| 21977 | Nothing exists, as thinkable and expressible [Hegel] |
| 21760 | Thinking of nothing is not the same as simply not thinking [Hegel, by Houlgate] |
| 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] |
| 21765 | The ground of a thing is not another thing, but the first thing's substance or rational concept [Hegel, by Houlgate] |
| 12320 | Ontology is (and always has been) Cantorian mathematics [Badiou] |
| 22059 | Kant's thing-in-itself is just an abstraction from our knowledge; things only exist for us [Hegel, by Bowie] |
| 22083 | Hegel believe that the genuine categories reveal things in themselves [Hegel, by Houlgate] |
| 22080 | The nature of each category relates itself to another [Hegel] |
| 21772 | In absolute knowing, the gap between object and oneself closes, producing certainty [Hegel] |
| 20954 | The 'absolute idea' is when all the contradictions are exhausted [Hegel, by Bowie] |
| 21972 | Hegel, unlike Kant, said how things appear is the same as how things are [Hegel, by Moore,AW] |
| 22038 | Hegel's non-subjective idealism is the unity of subjective and objective viewpoints [Hegel, by Pinkard] |
| 22044 | Hegel claimed his system was about the world, but it only mapped conceptual interdependence [Pinkard on Hegel] |
| 22084 | Authentic thinking and reality have the same content [Hegel] |
| 21464 | The Absolute is the primitive system of concepts which are actualised [Hegel, by Gardner] |
| 21975 | The absolute idea is being, imperishable life, self-knowing truth, and all truth [Hegel] |
| 21976 | The absolute idea is the great unity of the infinite system of concepts [Hegel, by Moore,AW] |
| 22058 | Hegel's 'absolute idea' is the interdependence of all truths to justify any of them [Hegel, by Bowie] |
| 20953 | Every concept depends on the counter-concepts of what it is not [Hegel, by Bowie] |
| 21763 | When we explicate the category of being, we watch a new category emerge [Hegel, by Houlgate] |
| 12338 | We must either assert or deny any single predicate of any single subject [Badiou] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| 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] |