Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Perception'

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14 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
11. Knowledge Aims / A. Knowledge / 6. Knowing How
Ryle's dichotomy between knowing how and knowing that is too simplistic [Maund]
12. Knowledge Sources / B. Perception / 1. Perception
Perception is sensation-then-concept, or direct-concepts, or sensation-saturated-in-concepts [Maund]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Sense-data have an epistemological purpose (foundations) and a metaphysical purpose (explanation) [Maund]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
One thesis says we are not aware of qualia, but only of objects and their qualities [Maund]
The Myth of the Given claims that thought is rationally supported by non-conceptual experiences [Maund]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
Mountains are adverbial modifications of the earth, but still have object-characteristics [Maund]
Adverbialism tries to avoid sense-data and preserve direct realism [Maund]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]
18. Thought / C. Content / 1. Content
Thought content is either satisfaction conditions, or exercise of concepts [Maund, by PG]