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Single Idea 16471

[filed under theme 8. Modes of Existence / B. Properties / 10. Properties as Predicates ]

Full Idea

I myself am prepared to accept higher-order properties and relations. There is the property of being Socrates, …and the property of being the property of being Socrates, ..and so on.

Gist of Idea

I accept a hierarchy of properties of properties of properties

Source

Robert C. Stalnaker (Mere Possibilities [2012], 4.4)

Book Ref

Stalnaker,Robert C.: 'Mere Possibilities' [Princeton 2012], p.118


A Reaction

Elsewhere I have quoted such a hierarchy of vacuous properties as an absurdity that arises if all predicates are treated as properties. Logicians can live with such stuff, given their set hierarchy and so on, but in science and life this is a nonsense.


The 27 ideas from 'Mere Possibilities'

Given actualism, how can there be possible individuals, other than the actual ones? [Stalnaker]
Possible worlds are properties [Stalnaker]
Some say what exists must do so, and nothing else could possible exist [Stalnaker]
Modal concepts are central to the actual world, and shouldn't need extravagant metaphysics [Stalnaker]
Necessity and possibility are fundamental, and there can be no reductive analysis of them [Stalnaker]
A nominalist view says existence is having spatio-temporal location [Stalnaker]
I don't think Lewis's cost-benefit reflective equilibrium approach offers enough guidance [Stalnaker]
Properties are modal, involving possible situations where they are exemplified [Stalnaker]
Possible worlds don't reduce modality, they regiment it to reveal its structure [Stalnaker]
I think of worlds as cells (rather than points) in logical space [Stalnaker]
I take propositions to be truth conditions [Stalnaker]
A theory of propositions at least needs primitive properties of consistency and of truth [Stalnaker]
Propositions presumably don't exist if the things they refer to don't exist [Stalnaker]
Possible world semantics may not reduce modality, but it can explain it [Stalnaker]
In modal set theory, sets only exist in a possible world if that world contains all of its members [Stalnaker]
Anti-haecceitism says there is no more to an individual than meeting some qualitative conditions [Stalnaker]
Dispositions have modal properties, of which properties things would have counterfactually [Stalnaker]
The bundle theory makes the identity of indiscernibles a necessity, since the thing is the properties [Stalnaker]
Modal properties depend on the choice of a counterpart, which is unconstrained by metaphysics [Stalnaker]
We still lack an agreed semantics for quantifiers in natural language [Stalnaker]
We regiment to get semantic structure, for evaluating arguments, and understanding complexities [Stalnaker]
In 'S was F or some other than S was F', the disjuncts need S, but the whole disjunction doesn't [Stalnaker]
Strong necessity is always true; weak necessity is cannot be false [Stalnaker]
'Socrates is essentially human' seems to say nothing could be Socrates if it was not human [Stalnaker]
Non-S5 can talk of contingent or necessary necessities [Stalnaker]
I accept a hierarchy of properties of properties of properties [Stalnaker]
How can we know what we are thinking, if content depends on something we don't know? [Stalnaker]