Combining Texts

All the ideas for 'Modes of Extension: comment on Fine', 'Constructibility and Mathematical Existence' and 'Prolegomena to Ethics'

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9 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Any equivalence relation among similar things allows the creation of an abstractum [Simons]
Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
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
People are improved by egalitarian institutions and habits [Green,TH]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
All talk of the progress of a nation must reduce to the progress of its individual members [Green,TH]