more on this theme     |     more from this thinker


Single Idea 18766

[filed under theme 9. Objects / A. Existence of Objects / 4. Impossible objects ]

Full Idea

The paradox of negative existentials says that if 's' does not designate something, then the sentence 's is non-existent' is untrue.

Gist of Idea

's is non-existent' cannot be said if 's' does not designate

Source

C. Anthony Anderson (Identity and Existence in Logic [2014], 2.1)

Book Ref

'Bloomsbury Companion to Philosophical Logic', ed/tr. Horsten,L/Pettigrew,R [Bloomsbury 2014], p.63


A Reaction

This only seems be a problem for logicians. Everyone else can happily say 'my coffee is non-existent'.


The 9 ideas from 'Identity and Existence in Logic'

Basic variables in second-order logic are taken to range over subsets of the individuals [Anderson,CA]
The notion of 'property' is unclear for a logical version of the Identity of Indiscernibles [Anderson,CA]
Individuation was a problem for medievals, then Leibniz, then Frege, then Wittgenstein (somewhat) [Anderson,CA]
's is non-existent' cannot be said if 's' does not designate [Anderson,CA]
Free logics has terms that do not designate real things, and even empty domains [Anderson,CA]
We cannot pick out a thing and deny its existence, but we can say a concept doesn't correspond [Anderson,CA]
Stop calling ∃ the 'existential' quantifier, read it as 'there is...', and range over all entities [Anderson,CA]
Do mathematicians use 'existence' differently when they say some entity exists? [Anderson,CA]
We can distinguish 'ontological' from 'existential' commitment, for different kinds of being [Anderson,CA]