Combining Philosophers

All the ideas for Lukes, Hilbert,D/Ackermann,W and Luitzen E.J. Brouwer

expand these ideas     |    start again     |     specify just one area for these philosophers

26 ideas

4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
17750 The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
12452 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
15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
18119 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
18247 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
18118 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
12451 Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
12454 Intuitionists only accept denumerable sets [Brouwer]
12453 Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
8728 Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10117 Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
20. Action / A. Definition of Action / 1. Action Theory
22858 There is collective action, where a trend is manifest, but is not attributable to individuals [Lukes]
24. Political Theory / C. Ruling a State / 1. Social Power
22854 Power is a capacity, which may never need to be exercised [Lukes]
22850 Hidden powers are the most effective [Lukes]
22852 The pluralist view says that power is restrained by group rivalry [Lukes]
22855 One-dimensionsal power is behaviour in observable conflicts of interests [Lukes]
22856 Political organisation brings some conflicts to the fore, and suppresses others [Lukes]
22857 The two-dimensional view of power recognises the importance of controlling the agenda [Lukes]
22859 Power can be exercised to determine a person's desires [Lukes]
22863 Power is the capacity of a social class to realise its interests [Lukes]
22860 The evidence for the exertion of power need not involve a grievance of the powerless [Lukes]
22861 Power is affecting a person in a way contrary to their interests [Lukes]
21133 Supreme power is getting people to have thoughts and desires chosen by you [Lukes]
24. Political Theory / D. Ideologies / 1. Ideology
22851 In the 1950s they said ideology is finished, and expertise takes over [Lukes]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
22862 Liberals take people as they are, and take their preferences to be their interests [Lukes]
24. Political Theory / D. Ideologies / 11. Capitalism
22853 Anyone who thinks capitalism can improve their lives is endorsing capitalism [Lukes]