Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Philosophy of Mind (Encylopedia III)' and 'Plural Quantification Exposed'

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11 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
Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]
Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
9. Objects / A. Existence of Objects / 1. Physical Objects
The modern concept of an object is rooted in quantificational logic [Linnebo]
16. Persons / F. Free Will / 2. Sources of Free Will
Freedom is produced by the activity of the mind, and is not intrinsically given [Hegel]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Geist is distinct from nature, not as a substance, but because of its normativity [Hegel, by Pinkard]