Combining Texts

All the ideas for 'Reason, Emotions and Good Life', 'Quine on Quantifying In' and 'Foundations of Geometry'

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


7 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Is it the sentence-token or the sentence-type that has a logical form? [Fine,K]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is referential quantification over expressions [Fine,K]
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]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham]