Ideas from 'The Nature of Mathematics' by Charles Sanders Peirce [1898], by Theme Structure

[found in 'Philosophical Writings of Peirce' by Peirce,Charles Sanders (ed/tr Buchler,Justus) [Dover 1940,0-486-20217-8]].

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

14782

Philosophy is an experimental science, resting on common experience

2. Reason / B. Laws of Thought / 3. Non-Contradiction

14787

Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

14783

Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

14788

Mathematics is close to logic, but is even more abstract

10. Modality / B. Possibility / 1. Possibility

14786

Some logical possibility concerns single propositions, but there is also compatibility between propositions

12. Knowledge Sources / D. Empiricism / 1. Empiricism

14789

Experience is indeed our only source of knowledge, provided we include inner experience

12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique

14785

The world is one of experience, but experiences are always located among our ideas

22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics

14784

Ethics is the science of aims