Combining Texts

All the ideas for 'Realism in Mathematics', 'Introduction to 'Self-Knowledge'' and 'Opus Maius (major works)'

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


11 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
If we have a pain, we are strongly aware of the bodily self [Cassam]
16. Persons / C. Self-Awareness / 1. Introspection
Knowledge of thoughts covers both their existence and their contents [Cassam]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Outer senses are as important as introspection in the acquisition of self-knowledge [Cassam]
Is there a mode of self-awareness that isn't perception, and could it give self-knowledge? [Cassam]
Neither self-consciousness nor self-reference require self-knowledge [Cassam]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
We can't introspect ourselves as objects, because that would involve possible error [Cassam]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
No one even knows the nature and properties of a fly - why it has that colour, or so many feet [Bacon,R]