Combining Texts

All the ideas for 'Later Letters to Dedekind', 'Varieties of Causation' and 'The Nature of Mathematics'

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13 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]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Cantor gives informal versions of ZF axioms as ways of getting from one set to another [Cantor, by Lake]
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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Mathematics is close to logic, but is even more abstract [Peirce]
9. Objects / D. Essence of Objects / 12. Essential Parts
Mereological essentialism says an entity must have exactly those parts [Sosa]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the science of aims [Peirce]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
What law would explain causation in the case of causing a table to come into existence? [Sosa]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
The necessitated is not always a result or consequence of the necessitator [Sosa]
Where is the necessary causation in the three people being tall making everybody tall? [Sosa]