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Single Idea 16961

[filed under theme 7. Existence / E. Categories / 1. Categories ]

Full Idea

In terms of formalized quantification theory, each category comprises the range of some distinctive style of variable.

Gist of Idea

In formal terms, a category is the range of some style of variables

Source

Willard Quine (Existence and Quantification [1966], p.92)

Book Ref

Quine,Willard: 'Ontological Relativity and Other Essays' [Columbia 1969], p.92


A Reaction

I add this for those who dream of formalising everything, but be warned that even Quine thought it of little help in deciding on the categories. Presumably there would be some variable that ranged across tigers.


The 10 ideas from 'Existence and Quantification'

Quine says quantified modal logic creates nonsense, bad ontology, and false essentialism [Melia on Quine]
Various strategies try to deal with the ontological commitments of second-order logic [Hale/Wright on Quine]
Express a theory in first-order predicate logic; its ontology is the types of bound variable needed for truth [Quine, by Lowe]
You can be implicitly committed to something without quantifying over it [Thomasson on Quine]
Philosophers tend to distinguish broad 'being' from narrower 'existence' - but I reject that [Quine]
Ontological commitment of theories only arise if they are classically quantified [Quine]
In formal terms, a category is the range of some style of variables [Quine]
Existence is implied by the quantifiers, not by the constants [Quine]
Theories are committed to objects of which some of its predicates must be true [Quine]
All we have of general existence is what existential quantifiers express [Quine]