Combining Texts

All the ideas for 'German Philosophy: a very short introduction', 'Concepts and Counting' and 'Can there be Vague Objects?'

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12 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
Evans argues (falsely!) that a contradiction follows from treating objects as vague [Evans, by Lowe]
Is it coherent that reality is vague, identities can be vague, and objects can have fuzzy boundaries? [Evans]
Evans assumes there can be vague identity statements, and that his proof cannot be right [Evans, by Lewis]
There clearly are vague identity statements, and Evans's argument has a false conclusion [Evans, by Lewis]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
If a=b is indeterminate, then a=/=b, and so there cannot be indeterminate identity [Evans, by Thomasson]
9. Objects / F. Identity among Objects / 6. Identity between Objects
There can't be vague identity; a and b must differ, since a, unlike b, is only vaguely the same as b [Evans, by PG]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Transcendental idealism aims to explain objectivity through subjectivity [Bowie]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]
German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]
Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]