Combining Texts

All the ideas for 'Introductions to 'Aesthetics and the Phil of Art'', 'Continuity and Irrational Numbers' and 'Philosophical Theology'

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8 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]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Modern attention has moved from the intrinsic properties of art to its relational properties [Lamarque/Olson]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Early 20th cent attempts at defining art focused on significant form, intuition, expression, unity [Lamarque/Olson]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
The dualistic view says works of art are either abstract objects (types), or physical objects [Lamarque/Olson]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
Design is seen in the way ideas match the world, in the mechanisms of evolution, and in values [Tennant,FR, by PG]