Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Prolegomena to Ethics' and 'Completeness of Axioms of Logic'

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8 ideas

4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC
17751 Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
10580 Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
10579 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
10577 Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
10578 We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
23035 The good life aims at perfections, or absolute laws, or what is absolutely desirable [Green,TH]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
23037 People are improved by egalitarian institutions and habits [Green,TH]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
23043 All talk of the progress of a nation must reduce to the progress of its individual members [Green,TH]