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Full Idea
I offer these three claims as a partial analysis of 'pure logic': ontological innocence (no new entities are introduced), universal applicability (to any realm of discourse), and cognitive primacy (no extra-logical ideas are presupposed).
Gist of Idea
A 'pure logic' must be ontologically innocent, universal, and without presuppositions
Source
Øystein Linnebo (Plural Quantification Exposed [2003], §1)
Book Ref
-: 'Nous' [-], p.75
10778 | Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo] |
10779 | A comprehension axiom is 'predicative' if the formula has no bound second-order variables [Linnebo] |
10781 | A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo] |
10782 | The modern concept of an object is rooted in quantificational logic [Linnebo] |
10783 | Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo] |