Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Foundations of Geometry' and 'Dialectic of Enlightenment'

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7 ideas

1. Philosophy / H. Continental Philosophy / 5. Critical Theory
15663 Adorno and Horkheimer subjected the Enlightenment to 'critical theory' analysis [Adorno/Horkheimer, by Finlayson]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
13472 Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
20572 De Sade said it was impossible to rationally argue against murder [Adorno/Horkheimer]