Combining Texts

All the ideas for 'In Praise of Philosophy', 'Plural Quantification Exposed' and 'Critical Common-Sensism'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles

21239

Philosophers are marked by a joint love of evidence and ambiguity [Merleau-Ponty]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension

10779

A comprehension axiom is 'predicative' if the formula has no bound second-order variables [Linnebo]

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

10781

A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

10783

Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]

10778

Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]

9. Objects / A. Existence of Objects / 1. Physical Objects

10782

The modern concept of an object is rooted in quantificational logic [Linnebo]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

14798

All communication is vague, and is outside the principle of non-contradiction [Peirce]

14797

Vagueness is a neglected but important part of mathematical thought [Peirce]