25 ideas
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
23708 | Humeans see properties as having no more essential features and relations than their distinctness [Friend/Kimpton-Nye, by PG] |
23709 | Dispositions are what individuate properties, and they constitute their essence [Friend/Kimpton-Nye] |
23707 | Powers are properties which necessitate dispositions [Friend/Kimpton-Nye] |
23714 | Dispositional essentialism (unlike the grounding view) says only fundamental properties are powers [Friend/Kimpton-Nye] |
23711 | A power is a property which consists entirely of dispositions [Friend/Kimpton-Nye] |
23712 | Powers are qualitative properties which fully ground dispositions [Friend/Kimpton-Nye] |
23698 | Dispositions have directed behaviour which occurs if triggered [Friend/Kimpton-Nye] |
23699 | 'Masked' dispositions fail to react because something intervenes [Friend/Kimpton-Nye] |
23700 | A disposition is 'altered' when the stimulus reverses the disposition [Friend/Kimpton-Nye] |
23701 | A disposition is 'mimicked' if a different cause produces that effect from that stimulus [Friend/Kimpton-Nye] |
23702 | A 'trick' can look like a stimulus for a disposition which will happen without it [Friend/Kimpton-Nye] |
23703 | Some dispositions manifest themselves without a stimulus [Friend/Kimpton-Nye] |
23704 | We could analyse dispositions as 'possibilities', with no mention of a stimulus [Friend/Kimpton-Nye] |
23710 | Dispositionalism says modality is in the powers of this world, not outsourced to possible worlds [Friend/Kimpton-Nye] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
23706 | Hume's Dictum says no connections are necessary - so mass and spacetime warping could separate [Friend/Kimpton-Nye] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |