52 ideas
| 12249 | 'Animal' is a genus and 'rational' is a specific difference [Oderberg] |
| 12242 | Definition distinguishes one kind from another, and individuation picks out members of the kind [Oderberg] |
| 10676 | The Axiom of Choice is a non-logical principle of set-theory [Hossack] |
| 10686 | The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack] |
| 23623 | Predicativism says only predicated sets exist [Hossack] |
| 23624 | The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack] |
| 23625 | Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack] |
| 10687 | Maybe we reduce sets to ordinals, rather than the other way round [Hossack] |
| 10677 | Extensional mereology needs two definitions and two axioms [Hossack] |
| 23628 | The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack] |
| 23627 | 'Before' and 'after' are not two relations, but one relation with two orders [Hossack] |
| 10671 | Plural definite descriptions pick out the largest class of things that fit the description [Hossack] |
| 10666 | Plural reference will refer to complex facts without postulating complex things [Hossack] |
| 10669 | Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack] |
| 10675 | A plural comprehension principle says there are some things one of which meets some condition [Hossack] |
| 10673 | Plural language can discuss without inconsistency things that are not members of themselves [Hossack] |
| 12238 | The Aristotelian view is that numbers depend on (and are abstracted from) other things [Oderberg] |
| 10680 | The theory of the transfinite needs the ordinal numbers [Hossack] |
| 10684 | I take the real numbers to be just lengths [Hossack] |
| 23626 | Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack] |
| 10674 | A plural language gives a single comprehensive induction axiom for arithmetic [Hossack] |
| 10681 | In arithmetic singularists need sets as the instantiator of numeric properties [Hossack] |
| 10685 | Set theory is the science of infinity [Hossack] |
| 23621 | Numbers are properties, not sets (because numbers are magnitudes) [Hossack] |
| 23622 | We can only mentally construct potential infinities, but maths needs actual infinities [Hossack] |
| 12254 | Being is substantial/accidental, complete/incomplete, necessary/contingent, possible, relative, intrinsic.. [Oderberg] |
| 10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
| 12253 | If tropes are in space and time, in what sense are they abstract? [Oderberg] |
| 12256 | We need to distinguish the essential from the non-essential powers [Oderberg] |
| 12252 | Empiricists gave up 'substance', as unknowable substratum, or reducible to a bundle [Oderberg] |
| 10664 | Complex particulars are either masses, or composites, or sets [Hossack] |
| 10678 | The relation of composition is indispensable to the part-whole relation for individuals [Hossack] |
| 10665 | Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack] |
| 10682 | The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack] |
| 12241 | Essences are real, about being, knowable, definable and classifiable [Oderberg, by PG] |
| 12244 | Nominalism is consistent with individual but not with universal essences [Oderberg] |
| 12240 | Essentialism is the main account of the unity of objects [Oderberg] |
| 12247 | Essence is not explanatory but constitutive [Oderberg] |
| 12258 | Properties are not part of an essence, but they flow from it [Oderberg] |
| 12257 | Could we replace essence with collections of powers? [Oderberg] |
| 12236 | Leibniz's Law is an essentialist truth [Oderberg] |
| 12250 | Bodies have act and potency, the latter explaining new kinds of existence [Oderberg] |
| 12234 | Realism about possible worlds is circular, since it needs a criterion of 'possible' [Oderberg] |
| 12235 | Necessity of identity seems trivial, because it leaves out the real essence [Oderberg] |
| 12237 | Rigid designation has at least three essentialist presuppositions [Oderberg] |
| 10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
| 3031 | The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius] |
| 12245 | Essence is the source of a thing's characteristic behaviour [Oderberg] |
| 12246 | What makes Parmenidean reality a One rather than a Many? [Oderberg] |
| 12239 | The real essentialist is not merely a scientist [Oderberg] |
| 12243 | The reductionism found in scientific essentialism is mistaken [Oderberg] |
| 10683 | We could ignore space, and just talk of the shape of matter [Hossack] |