Combining Texts

All the ideas for 'Concerning the Author', 'The Logical Syntax of Language' and 'An Axiomatization of Set Theory'

expand these ideas     |    start again     |     specify just one area for these texts

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9 ideas

1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics

14767

The demonstrations of the metaphysicians are all moonshine [Peirce]

1. Philosophy / G. Scientific Philosophy / 3. Scientism

14764

I am saturated with the spirit of physical science [Peirce]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

15943

Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

13342

Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]

5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention

13251

Each person is free to build their own logic, just by specifying a syntax [Carnap]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

13672

All the axioms for mathematics presuppose set theory [Neumann]

11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism

14768

Infallibility in science is just a joke [Peirce]

12. Knowledge Sources / D. Empiricism / 2. Associationism

14765

Association of ideas is the best philosophical idea of the prescientific age [Peirce]

14. Science / B. Scientific Theories / 1. Scientific Theory

14766

Duns Scotus offers perhaps the best logic and metaphysics for modern physical science [Peirce]