Combining Texts

All the ideas for 'On the Moral and Legal State of Abortion', 'Continuity and Irrational Numbers' and 'Personal Identity and Memory'

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7 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
16. Persons / A. Concept of a Person / 1. Existence of Persons
Persons must be conscious, reasoning, motivated, communicative, self-aware [Warren, by Tuckness/Wolf]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
If memory is the sole criterion of identity, we ought to use it for other people too [Shoemaker]
Bodily identity is one criterion and memory another, for personal identity [Shoemaker, by PG]