Combining Texts

All the ideas for 'Meaning', 'The Nature of Mathematics' and 'A Note on the entscheidungsproblem'

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12 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is an experimental science, resting on common experience [Peirce]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
5. Theory of Logic / K. Features of Logics / 7. Decidability
Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Mathematics is close to logic, but is even more abstract [Peirce]
10. Modality / B. Possibility / 1. Possibility
Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Experience is indeed our only source of knowledge, provided we include inner experience [Peirce]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The world is one of experience, but experiences are always located among our ideas [Peirce]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
Only the utterer's primary intention is relevant to the meaning [Grice]
Meaning needs an intention to induce a belief, and a recognition that this is the speaker's intention [Grice]
We judge linguistic intentions rather as we judge non-linguistic intentions, so they are alike [Grice]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the science of aims [Peirce]