Combining Texts

All the ideas for 'Realism in Mathematics', '12: Colossians' and 'Cartesian Meditations'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Beware lest any man spoil you through philosophy [Paul]
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]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Husserl sees the ego as a monad, unifying presence, sense and intentional acts [Husserl, by Velarde-Mayol]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
Husserl's monads (egos) communicate, through acts of empathy. [Husserl, by Velarde-Mayol]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The psychological ego is worldly, and the pure ego follows transcendental reduction [Husserl, by Velarde-Mayol]