Combining Texts

All the ideas for 'Later Letters to Dedekind', 'Knowledge First (and reply)' and 'The Nature of Mathematics'

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20 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
14782 Philosophy is an experimental science, resting on common experience [Peirce]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
14787 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
17831 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
14783 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
14788 Mathematics is close to logic, but is even more abstract [Peirce]
10. Modality / B. Possibility / 1. Possibility
14786 Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce]
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
19527 We don't acquire evidence and then derive some knowledge, because evidence IS knowledge [Williamson]
19528 Knowledge is prior to believing, just as doing is prior to trying to do [Williamson]
19529 Belief explains justification, and knowledge explains belief, so knowledge explains justification [Williamson]
19530 A neutral state of experience, between error and knowledge, is not basic; the successful state is basic [Williamson]
19531 Internalism about mind is an obsolete view, and knowledge-first epistemology develops externalism [Williamson]
19536 Knowledge-first says your total evidence IS your knowledge [Williamson]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
19526 Surely I am acquainted with physical objects, not with appearances? [Williamson]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
14789 Experience is indeed our only source of knowledge, provided we include inner experience [Peirce]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
14785 The world is one of experience, but experiences are always located among our ideas [Peirce]
19. Language / C. Assigning Meanings / 2. Semantics
19534 How does inferentialism distinguish the patterns of inference that are essential to meaning? [Williamson]
19535 Internalist inferentialism has trouble explaining how meaning and reference relate [Williamson]
19533 Inferentialist semantics relies on internal inference relations, not on external references [Williamson]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
19532 Truth-conditional referential semantics is externalist, referring to worldly items [Williamson]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
14784 Ethics is the science of aims [Peirce]