Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Abstract Objects: a Case Study' and 'Mathematical Logic (revised)'

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9 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

12221

'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]

5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated

19321

We might do without names, by converting them into predicates [Quine, by Kirkham]

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 / A. Nature of Existence / 5. Reason for Existence

19400

Possibles demand existence, so as many of them as possible must actually exist [Leibniz]

19401

God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]

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]

10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds

19402

The actual universe is the richest composite of what is possible [Leibniz]