Exact(3)
Abundant conceptions will impose only broadly syntactic restrictions on the expression of propositions.
In discussing the question of whether there are properties, D. M. Armstrong (1989) distinguishes sparse from abundant conceptions of properties.
In standard first-order logic predicates come with a fixed degree and in line with this relations are usually taken to have a fixed degree themselves (on abundant conceptions of properties, there are relations of every finite number of argument places, but on sparse conceptions it is an empirical question whether there are relations of any particular degree).
Similar(57)
The simplest abundant conception holds that every well-formed predicate expresses a property.
Here we are following Lewis's (1986) well-known terminology, which acknowledges a sparse and an abundant conception of properties.
It thus seems difficult to deny the existence of FU if the abundant conception of properties is adopted.
A form of dualitarianism can perhaps also be attributed to Lewis when he distinguishes between the sparse and the abundant conception of properties (see his 1986, p. 60).
Lewis argues that properties and relations, on this abundant conception, are well-suited to play the roles of semantic values in formal linguistics, and contents for mental states.
Under an abundant conception of properties, whether a predicate expresses a property depends only on its broadly syntactic facts about it.
(See Plantinga 1976 for an example of one who makes use of the abundant conception against a quite different ontological background from Lewis's).
But they take these commitments as shallow.[12] They accept an abundant conception of propositions, properties, etc., but combine it with a generous dose of deflationism.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com