Combining Texts

Ideas for 'Thinking About Mathematics', 'Every Thing Must Go' and 'Frege on Knowing the Third Realm'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


6 ideas

8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations without relata must be treated as universals, with their own formal properties [Ladyman/Ross]
     Full Idea: The best sense that can be made of a relation without relata is the idea of a universal. Thus the relation 'larger than' has formal properties that are independent of the contingencies of their instantiation.
     From: J Ladyman / D Ross (Every Thing Must Go [2007], 3.4)
     A reaction: Russell was keen on the idea that relations are universals, and presumably for this reason. I struggle to grasp uninstantiated but nevertheless real 'greater than' relations. They are abstractions from things, not separate universals.
A belief in relations must be a belief in things that are related [Ladyman/Ross]
     Full Idea: Many philosophers say that one cannot intelligibly subscribe to the reality of relations unless one is also committed to the fact of some things that are related.
     From: J Ladyman / D Ross (Every Thing Must Go [2007], 3.5)
     A reaction: Ladyman and Ross try to argue against this view, but the idea makes a strong impression on me. Your ontology seems to be rather strange if you have a set of structural relations that await things to slot into the structure.
8. Modes of Existence / A. Relations / 2. Internal Relations
The normal assumption is that relations depend on properties of the relata [Ladyman/Ross]
     Full Idea: The idea that there could be relations which do not supervene on the properties of their relata runs counter to a deeply entrenched way of thinking.
     From: J Ladyman / D Ross (Every Thing Must Go [2007], 3.4)
     A reaction: Ladyman and Ross are trying to defend the idea of 'structure' which is independent of the objects that occupy the nodes of the structure. Tricky.
8. Modes of Existence / A. Relations / 3. Structural Relations
That there are existent structures not made of entities is no stranger than the theory of universals [Ladyman/Ross]
     Full Idea: Is the main metaphysical idea we propose (of existent structures that are not composed out of more basic entities) any more obscure or bizarre than the instantiation relation in the theory of universals?
     From: J Ladyman / D Ross (Every Thing Must Go [2007], 3.5)
     A reaction: No, it is not more bizarre than that, but that isn't much of a reason to believe their theory. See Idea 8699, and many ideas about structure in mathematics. Ladyman and Ross still smack of platonism, even if they are rooted in particle physics.
8. Modes of Existence / B. Properties / 5. Natural Properties
Causal essentialism says properties are nothing but causal relations [Ladyman/Ross]
     Full Idea: Causal essentialism is the doctrine that the causal relations that properties bear to other properties exhaust their natures.
     From: J Ladyman / D Ross (Every Thing Must Go [2007], 3.5 n50)
     A reaction: [They cite Shoemaker, Mumford and Bird for this] Personally I don't see this view as offering relations as fundamental. The whole point is to explain everything. The only plausible primitive notion is of a power - which then generates the relations.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
If science captures the modal structure of things, that explains why its predictions work [Ladyman/Ross]
     Full Idea: If theorists are able sometimes to capture the objective modal structure of the world then it is no surprise that successful novel prediction sometimes works.
     From: J Ladyman / D Ross (Every Thing Must Go [2007], 2.4)
     A reaction: This is a rather important idea, particularly for my approach. I say we should demand more explanations, and explanations of successful prediction are far from obvious in a regularity account of nature.