Combining Texts

All the ideas for 'The Union of Body and Soul', 'Plural Quantification Exposed' and 'Ontological Ground of Alethic Modality'

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7 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]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Lewis must specify that all possibilities are in his worlds, making the whole thing circular [Shalkowski, by Sider]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
A true cause must involve a necessary connection between cause and effect [Malebranche]