Combining Texts

All the ideas for 'Interview with Baggini and Stangroom', 'Foundations of Geometry' and 'An Axiomatization of Set Theory'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason

6855	Interesting philosophers hardly every give you explicitly valid arguments [Martin,M]

2. Reason / E. Argument / 1. Argument

6856	Valid arguments can be rejected by challenging the premises or presuppositions [Martin,M]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

15943

Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]

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]

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 / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

13672

All the axioms for mathematics presuppose set theory [Neumann]

12. Knowledge Sources / B. Perception / 1. Perception

6857	An error theory of perception says our experience is not as it seems to be [Martin,M]