Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Realism, Mathematics and Modality' and 'Identity through Possible Worlds'

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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
Fictionalists say 2+2=4 is true in the way that 'Oliver Twist lived in London' is true [Field,H]
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
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]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
If there are essential properties, how do you find out what they are? [Chisholm]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Could possible Adam gradually transform into Noah, and vice versa? [Chisholm]