Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Plural Quantification Exposed' and 'Letters'

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10 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 [Linnebo]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]
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
The modern concept of an object is rooted in quantificational logic [Linnebo]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
When we admire a work, we see ourselves as its creator [Weil]
25. Social Practice / B. Equalities / 1. Grounds of equality
Relationships depend on equality, so unequal treatment kills them [Weil]
29. Religion / B. Monotheistic Religion / 5. Bible
The cruelty of the Old Testament put me off Christianity [Weil]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil]