Combining Texts

All the ideas for 'On boundary numbers and domains of sets', 'The Later Works (17 vols, ed Boydston)' and 'How to Make our Ideas Clear'

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18 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the study and criticsm of cultural beliefs, to achieve new possibilities [Dewey]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Truth is the opinion fated to be ultimately agreed by all investigators [Peirce]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
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 / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
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 / 2. Understanding
Our whole conception of an object is its possible practical consequences [Peirce]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
We are aware of beliefs, they appease our doubts, and they are rules of action, or habits [Peirce]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
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]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Non-positivist verificationism says only take a hypothesis seriously if it is scientifically based and testable [Ladyman/Ross on Peirce]
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 / 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]