Combining Texts

All the ideas for 'The Unimportance of Identity', 'The Very Idea of a Conceptual Scheme' and 'What Numbers Are'

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14 ideas

2. Reason / E. Argument / 7. Thought Experiments
Imaginary cases are good for revealing our beliefs, rather than the truth [Parfit]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Saying truths fit experience adds nothing to truth; nothing makes sentences true [Davidson]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
7. Existence / C. Structure of Existence / 2. Reduction
Reduction can be by identity, or constitution, or elimination [Parfit, by PG]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Without the dualism of scheme and content, not much is left of empiricism [Davidson]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Different points of view make sense, but they must be plotted on a common background [Davidson]
16. Persons / D. Continuity of the Self / 1. Identity and the Self
Psychologists are interested in identity as a type of person, but philosophers study numerical identity [Parfit]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
If my brain-halves are transplanted into two bodies, I have continuity, and don't need identity [Parfit]
Over a period of time what matters is not that 'I' persist, but that I have psychological continuity [Parfit]
16. Persons / D. Continuity of the Self / 4. Split Consciousness
It is fine to save two dying twins by merging parts of their bodies into one, and identity is irrelevant [Parfit]
If two humans are merged surgically, the new identity is a purely verbal problem [Parfit]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
It doesn't matter whether I exist with half my components replaced (any more than an audio system) [Parfit]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Criteria of translation give us the identity of conceptual schemes [Davidson]