54 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
11912 | Substantive metaphysics says what a property is, not what a predicate means [Molnar] |
11920 | A real definition gives all the properties that constitute an identity [Molnar] |
10702 | Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter] |
10713 | Usually the only reason given for accepting the empty set is convenience [Potter] |
13044 | Infinity: There is at least one limit level [Potter] |
10708 | Nowadays we derive our conception of collections from the dependence between them [Potter] |
13546 | The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter] |
10707 | Mereology elides the distinction between the cards in a pack and the suits [Potter] |
10704 | We can formalize second-order formation rules, but not inference rules [Potter] |
10703 | Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter] |
10712 | If set theory didn't found mathematics, it is still needed to count infinite sets [Potter] |
17882 | It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter] |
11919 | Ontological dependence rests on essential connection, not necessary connection [Molnar] |
11929 | The three categories in ontology are objects, properties and relations [Molnar] |
13043 | A relation is a set consisting entirely of ordered pairs [Potter] |
11927 | Reflexive relations are syntactically polyadic but ontologically monadic [Molnar] |
11915 | If atomism is true, then all properties derive from ultimate properties [Molnar] |
11916 | 'Being physical' is a second-order property [Molnar] |
11956 | 'Categorical properties' are those which are not powers [Molnar] |
11928 | Are tropes transferable? If they are, that is a version of Platonism [Molnar] |
11933 | A power's type-identity is given by its definitive manifestation [Molnar] |
11932 | Powers have Directedness, Independence, Actuality, Intrinsicality and Objectivity [Molnar] |
11934 | The physical world has a feature very like mental intentionality [Molnar] |
11947 | Dispositions and external powers arise entirely from intrinsic powers in objects [Molnar] |
11952 | The Standard Model suggest that particles are entirely dispositional, and hence are powers [Molnar] |
11953 | Some powers are ungrounded, and others rest on them, and are derivative [Molnar] |
11943 | Dispositions can be causes, so they must be part of the actual world [Molnar] |
11939 | If powers only exist when actual, they seem to be nomadic, and indistinguishable from non-powers [Molnar] |
11914 | Platonic explanations of universals actually diminish our understanding [Molnar] |
11913 | For nominalists, predicate extensions are inexplicable facts [Molnar] |
11962 | Nominalists only accept first-order logic [Molnar] |
13042 | If dependence is well-founded, with no infinite backward chains, this implies substances [Potter] |
11917 | Structural properties are derivate properties [Molnar] |
11955 | There are no 'structural properties', as properties with parts [Molnar] |
13041 | Collections have fixed members, but fusions can be carved in innumerable ways [Potter] |
11918 | The essence of a thing need not include everything that is necessarily true of it [Molnar] |
10709 | Priority is a modality, arising from collections and members [Potter] |
11963 | What is the truthmaker for a non-existent possible? [Molnar] |
11951 | Hume allows interpolation, even though it and extrapolation are not actually valid [Molnar] |
11936 | The two ways proposed to distinguish mind are intentionality or consciousness [Molnar] |
11935 | Physical powers like solubility and charge also have directedness [Molnar] |
11944 | Rule occasionalism says God's actions follow laws, not miracles [Molnar] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
11960 | Singular causation is prior to general causation; each aspirin produces the aspirin generalization [Molnar] |
11937 | We should analyse causation in terms of powers, not vice versa [Molnar] |
11954 | We should analyse causation in terms of powers [Molnar] |
11961 | Causal dependence explains counterfactual dependence, not vice versa [Molnar] |
11959 | Science works when we assume natural kinds have essences - because it is true [Molnar] |
9448 | Location in space and time are non-power properties [Molnar, by Mumford] |
11930 | One essential property of a muon doesn't entail the others [Molnar] |
11957 | It is contingent which kinds and powers exist in the world [Molnar] |
11921 | The laws of nature depend on the powers, not the other way round [Molnar] |
11931 | Energy fields are discontinuous at the very small [Molnar] |