Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Neutral Relations' and 'Is Hume's Principle analytic?'

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

---

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]

8. Modes of Existence / A. Relations / 1. Nature of Relations

14217

The 'standard' view of relations is that they hold of several objects in a given order [Fine,K]

14216

The 'positionalist' view of relations says the number of places is fixed, but not the order [Fine,K]

14218

A block on top of another contains one relation, not both 'on top of' and 'beneath' [Fine,K]

14219

Language imposes a direction on a road which is not really part of the road [Fine,K]

14220

Explain biased relations as orderings of the unbiased, or the unbiased as permutation classes of the biased? [Fine,K]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

8693	An 'abstraction principle' says two things are identical if they are 'equivalent' in some respect [Boolos]