Combining Texts

All the ideas for 'Realism in Mathematics', 'Maxims and Reflections' and 'Ethics without Principles'

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12 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]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Many people imagine that to experience is to understand [Goethe]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
Man never understands how anthropomorphic he is [Goethe]
16. Persons / C. Self-Awareness / 2. Knowing the Self
We gain self-knowledge through action, not thought - especially when doing our duty [Goethe]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Beauty is a manifestation of secret natural laws [Goethe]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
The base for values has grounds, catalysts and intensifiers [Dancy,J, by Orsi]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
The happiest people link the beginning and end of life [Goethe]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The best form of government teaches us to govern ourselves [Goethe]
25. Social Practice / C. Rights / 1. Basis of Rights
To get duties from people without rights, you must pay them well [Goethe]