Combining Texts

All the ideas for 'Truth and Probability', 'Plural Quantification Exposed' and 'Lecture on Nominalism'

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10 ideas

2. Reason / F. Fallacies / 1. Fallacy

21697

The Struthionic Fallacy is that of burying one's head in the sand [Quine]

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 / E. Structures of Logic / 6. Relations in Logic

21698

All relations, apart from ancestrals, can be reduced to simpler logic [Quine]

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

10778

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

10783

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

6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism

21696

Nominalism rejects both attributes and classes (where extensionalism accepts the classes) [Quine]

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

10782

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

10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals

13766

'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey]

14. Science / C. Induction / 6. Bayes's Theorem

19143

Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson]