Combining Texts

All the ideas for 'On Motion', 'Foundations of Geometry' and 'The Concept of Logical Consequence'

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7 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
14180 Etchemendy says fix the situation and vary the interpretation, or fix interpretations with varying situations [Etchemendy, by Read]
14181 Validity is where either the situation or the interpretation blocks true premises and false conclusion [Etchemendy, by Read]
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]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
12709 Motion is not absolute, but consists in relation [Leibniz]