Combining Texts

All the ideas for 'The Gettier Problem', 'Possible Worlds' and 'Grundlagen (Foundations of Theory of Manifolds)'

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6 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]
7. Existence / A. Nature of Existence / 2. Types of Existence
Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis]
What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]