Combining Texts

All the ideas for 'Theory of Knowledge (2nd edn)', 'Foundations of Geometry' and 'talk'

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8 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
Aristotle is a buffoon who has misled the Church [Luther, by MacIntyre]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy
Most philosophers start with reality and then examine knowledge; Descartes put the study of knowledge first [Lehrer]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
You cannot demand an analysis of a concept without knowing the purpose of the analysis [Lehrer]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]
Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]
Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
With respect to religion, reason is a blind whore [Luther]