Combining Texts

All the ideas for 'fragments/reports', 'Zettel' and 'Foundations of Geometry'

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

---

8 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy

2626	A philosopher is outside any community of ideas [Wittgenstein]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

6569	'This sentence is false' sends us in a looping search for its proposition [Wittgenstein, by Fogelin]

6. Mathematics / A. Nature of Mathematics / 2. Geometry

13472

Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

9546	Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]

18742

Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]

18217

Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]

13. Knowledge Criteria / C. External Justification / 2. Causal Justification

3790	Causes of beliefs are irrelevant to their contents [Wittgenstein]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]