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All the ideas for 'works', 'Review of Frege's 'Grundlagen'' and 'Introspection'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
The 'extension of a concept' in general may be quantitatively completely indeterminate [Cantor]
     Full Idea: The author entirely overlooks the fact that the 'extension of a concept' in general may be quantitatively completely indeterminate. Only in certain cases is the 'extension of a concept' quantitatively determinate.
     From: George Cantor (Review of Frege's 'Grundlagen' [1885], 1932:440), quoted by William W. Tait - Frege versus Cantor and Dedekind
     A reaction: Cantor presumably has in mind various infinite sets. Tait is drawing our attention to the fact that this objection long precedes Russell's paradox, which made the objection more formal (a language Frege could understand!).
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
The adverbial account of sensation says not 'see a red image' but be 'appeared to redly' [Shoemaker]
     Full Idea: Some who reject the act-object conception of sensation favour an 'adverbial' account, where (instead of the act of 'seeing a red image') it is better to speak of 'being appeared to redly'.
     From: Sydney Shoemaker (Introspection [1994], p.398)
     A reaction: The point is that you couldn't perceive without a colour (or travel without a speed), so the qualifying adverb is intrinsic to the process, not a separate object. The adverbial theory will imply a fairly minimal account of universals.
16. Persons / C. Self-Awareness / 1. Introspection
For true introspection, must we be aware that we are aware of our mental events? [Shoemaker]
     Full Idea: Some writers distinguish introspection from a pre-introspective awareness of mental phenomena, saying one is not properly introspecting unless one is not only aware of the phenomena, but aware that one is aware of them.
     From: Sydney Shoemaker (Introspection [1994], p.395)
     A reaction: The test question might be what we think animals do. I think I agree with the 'writers'. You are either just aware of the contents or qualia or images of thought, which is not introspection, or you become introspectively aware that you are having them.
Empirical foundationalism says basic knowledge is self-intimating, and incorrigible or infallible [Shoemaker]
     Full Idea: Foundationalist epistemology takes all empirical knowledge to be grounded in the introspective knowledge each mind has of its own states, …holding that introspective judgements are 'incorrigible' or 'infallible', and mental states are 'self-intimating'.
     From: Sydney Shoemaker (Introspection [1994], p.396)
     A reaction: Descartes' foundationalist Cogito also seems to be based on introspection, making introspection the essence of all foundationalism. The standard modern view is that introspective states are incorrigible, but not infallible.
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
     Full Idea: Philosophers are the forefathers of heretics.
     From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]
     Full Idea: I believe because it is absurd ('Credo quia absurdum est').
     From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2
     A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though.