Combining Texts

All the ideas for 'Introductions to 'Aesthetics and the Phil of Art'', 'Letter to Shumacher' and 'Scientific Attitude and Fallibilism'

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12 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Numbers are just names devised for counting [Peirce]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Reasoning is based on statistical induction, so it can't achieve certainty or precision [Peirce]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Innate truths are very uncertain and full of error, so they certainly have exceptions [Peirce]
12. Knowledge Sources / E. Direct Knowledge / 3. Inspiration
A truth is hard for us to understand if it rests on nothing but inspiration [Peirce]
If we decide an idea is inspired, we still can't be sure we have got the idea right [Peirce]
Only reason can establish whether some deliverance of revelation really is inspired [Peirce]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Only imagination can connect phenomena together in a rational way [Peirce]
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]