GaryLouisSmith wrote: ↑August 28th, 2019, 11:55 pmYes, I understand dictionary meanings. I understanding semantics and how logic works. But I am asking the ontological question of what existent those words refer to. But maybe you are an idealist and you think it is all thought thinking about thought.
Wittgenstein famously said (Tractatus 4.0312):
"My fundamental idea is that the ‘logical constants’ are not representatives."
According to him, "Ax", "Ex", "&", "v", "~", "–>" refer to nothing, being syncategorematic terms.
I don't believe in universally or existentially quantified, negative, distributive, or conditional facts as nonlinguistic entities in the world; but I have no ontological problem with conjunctive facts if "&"/"and" is interpreted as the "+" of mereological summation.
By the way, Reinhardt Grossmann believed in negative facts and quantified ones, including quantifiers in his category system:
"I conclude that numbers are neither individual things, nor properties, nor relations, nor structures, nor sets, nor facts, and since these are all of the categories which we have, I infer that numbers form a category of their own. I shall call the category 'quantifier'.
The feature of being exemplified by sixty-four things or by three things is very much like the feature of being exemplified by some things or by all things. And this obvious similarity promises to shed further light on the nature of the category of quantifier. Let me call 'some', 'all', 'no', 'almost all', 'quite a few', etc. 'indefinite quantifiers', in order to distinguish these things from the 'definite quantifiers' which are the numbers."
(Grossmann, Reinhardt.
The Existence of the World: An Introduction to Ontology. London: Routledge, 1992. pp. 69-70)
(I don't call "all" and "no"
indefinite quantifiers.)