57 ideas
| 2319 | Metaphysics is the clarification of the ontological relationships between different areas of thought [Kim] |
| 9978 | Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait] |
| 9672 | Free logic is one of the few first-order non-classical logics [Priest,G] |
| 9697 | X1 x X2 x X3... x Xn indicates the 'cartesian product' of those sets [Priest,G] |
| 9685 | <a,b&62; is a set whose members occur in the order shown [Priest,G] |
| 9675 | a ∈ X says a is an object in set X; a ∉ X says a is not in X [Priest,G] |
| 9674 | {x; A(x)} is a set of objects satisfying the condition A(x) [Priest,G] |
| 9673 | {a1, a2, ...an} indicates that a set comprising just those objects [Priest,G] |
| 9677 | Φ indicates the empty set, which has no members [Priest,G] |
| 9676 | {a} is the 'singleton' set of a (not the object a itself) [Priest,G] |
| 9679 | X⊂Y means set X is a 'proper subset' of set Y [Priest,G] |
| 9678 | X⊆Y means set X is a 'subset' of set Y [Priest,G] |
| 9681 | X = Y means the set X equals the set Y [Priest,G] |
| 9683 | X ∩ Y indicates the 'intersection' of sets X and Y, the objects which are in both sets [Priest,G] |
| 9682 | X∪Y indicates the 'union' of all the things in sets X and Y [Priest,G] |
| 9684 | Y - X is the 'relative complement' of X with respect to Y; the things in Y that are not in X [Priest,G] |
| 9694 | The 'relative complement' is things in the second set not in the first [Priest,G] |
| 9693 | The 'intersection' of two sets is a set of the things that are in both sets [Priest,G] |
| 9692 | The 'union' of two sets is a set containing all the things in either of the sets [Priest,G] |
| 9698 | The 'induction clause' says complex formulas retain the properties of their basic formulas [Priest,G] |
| 9688 | A 'singleton' is a set with only one member [Priest,G] |
| 9687 | A 'member' of a set is one of the objects in the set [Priest,G] |
| 9695 | An 'ordered pair' (or ordered n-tuple) is a set with its members in a particular order [Priest,G] |
| 9696 | A 'cartesian product' of sets is the set of all the n-tuples with one member in each of the sets [Priest,G] |
| 9686 | A 'set' is a collection of objects [Priest,G] |
| 9689 | The 'empty set' or 'null set' has no members [Priest,G] |
| 9690 | A set is a 'subset' of another set if all of its members are in that set [Priest,G] |
| 9691 | A 'proper subset' is smaller than the containing set [Priest,G] |
| 9680 | The empty set Φ is a subset of every set (including itself) [Priest,G] |
| 9986 | The null set was doubted, because numbering seemed to require 'units' [Tait] |
| 9984 | We can have a series with identical members [Tait] |
| 2317 | Reductionism is good on light, genes, temperature and transparency [Kim, by PG] |
| 2310 | Supervenience is linked to dependence [Kim] |
| 2315 | Mereological supervenience says wholes are fixed by parts [Kim] |
| 2329 | Causal power is a good way of distinguishing the real from the unreal [Kim] |
| 2320 | Properties can have causal powers lacked by their constituents [Kim] |
| 530 | There are two contradictory arguments about everything [Kim] |
| 13314 | Protagoras says arguments on both sides are always equal [Kim, by Seneca] |
| 2065 | Not every person is the measure of all things, but only wise people [Plato on Kim] |
| 1550 | Why didn't Protagoras begin by saying "a tadpole is the measure of all things"? [Plato on Kim] |
| 2318 | Agency, knowledge, reason, memory, psychology all need mental causes [Kim, by PG] |
| 2325 | It seems impossible that an exact physical copy of this world could lack intentionality [Kim] |
| 2324 | Intentionality as function seems possible [Kim] |
| 2314 | Maybe intentionality is reducible, but qualia aren't [Kim] |
| 2313 | Emergentism says there is no explanation for a supervenient property [Kim] |
| 2328 | The only mental property that might be emergent is that of qualia [Kim] |
| 2309 | Non-Reductive Physicalism relies on supervenience [Kim] |
| 2311 | Maybe strong supervenience implies reduction [Kim] |
| 2308 | Identity theory was overthrown by multiple realisations and causal anomalies [Kim] |
| 2322 | Multiple realisation applies to other species, and even one individual over time [Kim] |
| 2327 | Knowledge and inversion make functionalism about qualia doubtful [Kim] |
| 2323 | Emotions have both intentionality and qualia [Kim] |
| 9981 | Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait] |
| 9982 | Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait] |
| 9985 | Abstraction may concern the individuation of the set itself, not its elements [Tait] |
| 9972 | Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait] |
| 9980 | If abstraction produces power sets, their identity should imply identity of the originals [Tait] |