more from this thinker | more from this text
Full Idea
We must conclude that priority is a modality distinct from that of time or necessity, a modality arising in some way out of the manner in which a collection is constituted from its members.
Gist of Idea
Priority is a modality, arising from collections and members
Source
Michael Potter (Set Theory and Its Philosophy [2004], 03.3)
Book Ref
Potter,Michael: 'Set Theory and Its Philosophy' [OUP 2004], p.39
A Reaction
He is referring to the 'iterative' view of sets, and cites Aristotle 'Metaphysics' 1019a1-4 as background.
| 18797 | Modalities do not augment our concepts; they express their relation to cognition [Kant] |
| 12205 | There are two families of modal notions, metaphysical and epistemic, of equal strength [Edgington] |
| 14625 | Necessity is counterfactually implied by its negation; possibility does not counterfactually imply its negation [Williamson] |
| 10709 | Priority is a modality, arising from collections and members [Potter] |
| 14528 | Maybe modal thought is unavoidable, as a priori recognition of necessary truth-preservation in reasoning [Hale/Hoffmann,A] |
| 17535 | Dispositionality has its own distinctive type of modality [Mumford/Anjum] |
| 14579 | Dispositionality is the core modality, with possibility and necessity as its extreme cases [Mumford/Anjum] |
| 14580 | Dispositions may suggest modality to us - as what might not have been, and what could have been [Mumford/Anjum] |