Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Hamid Vahid and Dmitri Mendeleev

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23 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Maybe there is plain 'animal' knowledge, and clearly justified 'reflective' knowledge [Vahid]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
Epistemic is normally marked out from moral or pragmatic justifications by its truth-goal [Vahid]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
'Mentalist' internalism seems to miss the main point, if it might not involve an agent's access [Vahid]
Strong access internalism needs actual awareness; weak versions need possibility of access [Vahid]
Maybe we need access to our justification, and also to know why it justifies [Vahid]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
Internalism in epistemology over-emphasises deliberation about beliefs [Vahid]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalism may imply that identical mental states might go with different justifications [Vahid]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
With a counterfactual account of the causal theory, we get knowledge as tracking or sensitive to truth [Vahid]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Externalism makes the acquisition of knowledge too easy? [Vahid]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Mendeleev saw three principles in nature: matter, force and spirit (where the latter seems to be essence) [Mendeleev, by Scerri]
27. Natural Reality / F. Chemistry / 2. Modern Elements
Elements don't survive in compounds, but the 'substance' of the element does [Mendeleev]
27. Natural Reality / F. Chemistry / 3. Periodic Table
Mendeleev focused on abstract elements, not simple substances, so he got to their essence [Mendeleev, by Scerri]
Mendeleev had a view of elements which allowed him to overlook some conflicting observations [Mendeleev]