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Single Idea 10781

[filed under theme 5. Theory of Logic / A. Overview of Logic / 4. Pure Logic ]

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

The 5 ideas from 'Plural Quantification Exposed'

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]