Combining Texts

All the ideas for 'Wiener Logik', 'Structure and Nature' and 'Grundlagen (Foundations of Theory of Manifolds)'

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7 ideas

2. Reason / D. Definition / 2. Aims of Definition
A simplification which is complete constitutes a definition [Kant]
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]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic gives us the necessary rules which show us how we ought to think [Kant]
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]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
I apply structuralism to concrete and abstract objects indiscriminately [Quine]
7. Existence / D. Theories of Reality / 6. Physicalism
My ontology is quarks etc., classes of such things, classes of such classes etc. [Quine]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
If we knew what we know, we would be astonished [Kant]