more from Řystein Linnebo

Single Idea 10633

[catalogued under 2. Reason / D. Definition / 12. Paraphrase]

Full Idea

The Geach-Kaplan sentence 'Some critics admire only one another' provably has no singular first-order paraphrase using only its predicates.

Gist of Idea

'Some critics admire only one another' cannot be paraphrased in singular first-order

Source

Řystein Linnebo (Plural Quantification [2008], 1)

Book Reference

'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.2


A Reaction

There seems to be a choice of either going second-order (picking out a property), or going plural (collectively quantifying), or maybe both.