Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Introduction to 'Personal Identity'' and 'Distinct Indiscernibles and the Bundle Theory'

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11 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
An immanent universal is wholly present in more than one place [Zimmerman,DW]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
If only two indiscernible electrons exist, future differences must still be possible [Zimmerman,DW]
Discernible differences at different times may just be in counterparts [Zimmerman,DW]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
Maybe we should see persons in four dimensions, with stages or time-slices at an instant [Martin/Barresi]
Maybe personal identity is not vital in survival, and other continuations would suffice [Martin/Barresi]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
Locke's intrinsic view of personal identity has been replaced by an externalist view [Martin/Barresi]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
For Aristotle the psyche perishes with the body (except possibly 'nous') [Martin/Barresi]