Combining Texts

All the ideas for 'The Artworld', 'Whitehead and the Rise of Modern Logic' and 'Set Theory and related topics (2nd ed)'

expand these ideas     |    start again     |     specify just one area for these texts


4 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Quine says higher-order items are intensional, and lack a clearly defined identity relation [Quine, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Russell confused use and mention, and reduced classes to properties, not to language [Quine, by Lackey]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
A thing is only seen as art in an 'artworld', which has a theory and a history [Danto]