Combining Texts

Ideas for 'Abstract Objects: a Case Study', 'Does Conceivability Entail Possibility?' and 'Grounding, Transitivity and Contrastivity'

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4 ideas

7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
As causation links across time, grounding links the world across levels [Schaffer,J]
     Full Idea: Grounding is something like metaphysical causation. Just as causation links the world across time, grounding links the world across levels. Grounding connects the more fundamental to the less fundamental, and thereby backs a certain form of explanation.
     From: Jonathan Schaffer (Grounding, Transitivity and Contrastivity [2012], Intro)
     A reaction: Obviously you need 'levels' for this, which we should take to be structural levels.
If ground is transitive and irreflexive, it has a strict partial ordering, giving structure [Schaffer,J]
     Full Idea: By treating grounding as transitive (and irreflexive), one generates a strict partial ordering that induces metaphysical structure.
     From: Jonathan Schaffer (Grounding, Transitivity and Contrastivity [2012], Intro)
     A reaction: Schaffer's paper goes on to attach the claim that grounding is transitive, but I didn't find his examples very convincing.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)