Combining Texts

All the ideas for 'Are Freedom and Equality Compatible?', 'Logical Consequence' and 'Plural Quantification Exposed'

expand these ideas     |    start again     |     specify just one area for these texts

18 ideas

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 / B. Logical Consequence / 1. Logical Consequence
18755 Validity is explained as truth in all models, because that relies on the logical terms [McGee]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
18751 Natural language includes connectives like 'because' which are not truth-functional [McGee]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
18761 Second-order variables need to range over more than collections of first-order objects [McGee]
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]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
18753 An ontologically secure semantics for predicate calculus relies on sets [McGee]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
18754 Logically valid sentences are analytic truths which are just true because of their logical words [McGee]
5. Theory of Logic / K. Features of Logics / 3. Soundness
18757 Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
18760 The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee]
9. Objects / A. Existence of Objects / 1. Physical Objects
10782 The modern concept of an object is rooted in quantificational logic [Linnebo]
19. Language / F. Communication / 2. Assertion
18762 A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
21733 The right-wing conception of freedom is based on the idea of self-ownership [Cohen,GA]
21739 Plenty of people have self-ownership, but still lack autonomy [Cohen,GA]
25. Social Practice / C. Rights / 4. Property rights
21734 It is plausible that no one has an initial right to own land and natural resources [Cohen,GA]
21736 It is doubtful whether any private property was originally acquired legitimately [Cohen,GA]
21735 Every thing which is now private started out as unowned [Cohen,GA]