Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Avineri,S/De-Shalit,A and Hermann von Helmholtz

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17 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For intuitionists excluded middle is an outdated historical convention [Brouwer]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
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
Scientific laws largely rest on the results of counting and measuring [Brouwer]
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]
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]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberalism is minimal government, or individual rights, or equality [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Can individualist theories justify an obligation to fight in a war? [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Autonomy is better achieved within a community [Avineri/De-Shalit]
Communitarians avoid oppression for the common good, by means of small mediating communities [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
If our values are given to us by society then we have no grounds to criticise them [Avineri/De-Shalit]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Helmholtz used 'energy' to mathematically link heat, light, electricity and magnetism [Helmholtz, by Watson]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy
All forces conserve the sum of kinetic and potential energy [Helmholtz, by Papineau]