Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Fear and Trembling' and 'Frege's Theory of Numbers'

expand these ideas     |    start again     |     specify just one area for these texts

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7 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

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]

28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality

16006

Either Abraham rises higher than universal ethics, or he is a mere murderer [Kierkegaard]

28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality

7577	Abraham was willing to suspend ethics, for a higher idea [Kierkegaard]