Combining Texts

All the ideas for 'Two Notions of Being: Entity and Essence', 'Personal Identity' and 'The Art of the Infinite'

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16 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics aims to identify categories of being, and show their interdependency [Lowe]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Philosophy aims not at the 'analysis of concepts', but at understanding the essences of things [Lowe]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Holes, shadows and spots of light can coincide without being identical [Lowe]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
All things must have an essence (a 'what it is'), or we would be unable to think about them [Lowe]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
Knowing an essence is just knowing what the thing is, not knowing some further thing [Lowe]
9. Objects / F. Identity among Objects / 4. Type Identity
Each thing has to be of a general kind, because it belongs to some category [Lowe]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
16. Persons / B. Nature of the Self / 5. Self as Associations
Personal identity is just causally related mental states [Parfit, by Maslin]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
One of my future selves will not necessarily be me [Parfit]
16. Persons / D. Continuity of the Self / 4. Split Consciousness
If we split like amoeba, we would be two people, neither of them being us [Parfit]
16. Persons / D. Continuity of the Self / 5. Concerns of the Self
Concern for our own lives isn't the source of belief in identity, it is the result of it [Parfit]