Combining Texts

All the ideas for 'Clitophon', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Evidentialism'

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5 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
If the only aim is to believe truths, that justifies recklessly believing what is unsupported (if it is right) [Conee/Feldman]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
We don't have the capacity to know all the logical consequences of our beliefs [Conee/Feldman]
22. Metaethics / B. Value / 2. Values / f. Altruism
The just man does not harm his enemies, but benefits everyone [Plato]