Combining Texts

All the ideas for 'General Facts,Phys Necessity, and Metaph of Time', 'There is No A Priori (and reply)' and 'Foundations of Geometry'

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7 ideas

3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
The truth-maker principle is that every truth has a sufficient truth-maker [Forrest]
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]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
How could the mind have a link to the necessary character of reality? [Devitt]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
Some knowledge must be empirical; naturalism implies that all knowledge is like that [Devitt]