Combining Texts

All the ideas for 'Mathematics and Indispensibility', 'Mathematics and the Metaphysicians' and 'Truth-maker Realism'

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


6 ideas

3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
God might necessitate that something happen, but He is not the truth-maker for it [Smith,B]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]