Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, John Dewey and Johanna Seibt

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32 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the study and criticsm of cultural beliefs, to achieve new possibilities [Dewey]
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 / A. Overview of Logic / 5. First-Order Logic
Liberalism should improve the system, and not just ameliorate it [Dewey]
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For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
7. Existence / B. Change in Existence / 2. Processes
Process philosophy places the dynamic nature of being at the centre of our theories [Seibt]
Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt]
Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowledge is either the product of competent enquiry, or it is meaningless [Dewey]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
The value and truth of knowledge are measured by success in activity [Dewey]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
We want certainty in order achieve secure results for action [Dewey]
The quest for certainty aims for peace, and avoidance of the stress of action [Dewey]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
No belief can be so settled that it is not subject to further inquiry [Dewey]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
Mind is never isolated, but only exists in its interactions [Dewey]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
Habits constitute the self [Dewey]
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]
19. Language / F. Communication / 4. Private Language
Dewey argued long before Wittgenstein that there could not seriously be a private language [Dewey, by Orenstein]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
The good people are those who improve; the bad are those who deteriorate [Dewey]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is the development of human nature when it shares in the running of communal activities [Dewey]
Democracy is not just a form of government; it is a mode of shared living [Dewey]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberals aim to allow individuals to realise their capacities [Dewey]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Individuality is only developed within groups [Dewey]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
The things in civilisation we prize are the products of other members of our community [Dewey]
28. God / A. Divine Nature / 2. Divine Nature
'God' is an imaginative unity of ideal values [Dewey]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
We should try attaching the intensity of religious devotion to intelligent social action [Dewey]
Religions are so shockingly diverse that they have no common element [Dewey]