Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Truth and Method' and 'The Foundations of Mathematics (2nd ed)'

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7 ideas

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 / A. Nature of Existence / 3. Being / a. Nature of Being
Only language is understandable Being [Gadamer]
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]
8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Facts don't oppose values; they are integrated into each person's aspirations [Gadamer, by Zimmermann,J]