Combining Texts

All the ideas for 'Basic Problems of Phenomenology', 'Foundations of Geometry' and 'The Theory of Logical Types'

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9 ideas

5. Theory of Logic / C. Ontology of Logic / 2. Platonism in Logic
15571 The idea of an atemporal realm of validity is as implausible as medieval theology [Heidegger]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10053 Geometrical axioms imply the propositions, but the former may not be true [Russell]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
21566 'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
21567 'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
10052 Geometry is united by the intuitive axioms of projective geometry [Russell, by Musgrave]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
23457 Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
21556 Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
21568 A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
23. Ethics / F. Existentialism / 6. Authentic Self
15581 Dasein is always only that which it has chosen to be [Heidegger]