Ideas from 'Plural Quantification Exposed' by Øystein Linnebo [2003], by Theme Structure

[found in 'Nous' (ed/tr -) [- ,]].

Click on the Idea Number for the full details    |     back to texts     |     expand these ideas


4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
A comprehension axiom is 'predicative' if the formula has no bound second-order variables
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A 'pure logic' must be ontologically innocent, universal, and without presuppositions
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Can second-order logic be ontologically first-order, with all the benefits of second-order?
Plural quantification depends too heavily on combinatorial and set-theoretic considerations
9. Objects / A. Existence of Objects / 1. Physical Objects
The modern concept of an object is rooted in quantificational logic