Combining Texts

Ideas for 'Individuals without Sortals', 'The Problem of the Essential Indexical' and 'Introduction to Mathematical Logic'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

17758

Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki]

17755

Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki]

17756

The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki]

17760

Two infinite ordinals can represent a single infinite cardinal [Walicki]

17757

Members of ordinals are ordinals, and also subsets of ordinals [Walicki]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

17518

Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]

17516

If counting needs a sortal, what of things which fall under two sortals? [Ayers]