Combining Texts

All the ideas for 'fragments/reports', 'Idea for a Universal History' and 'On boundary numbers and domains of sets'

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


9 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
Reason enables the unbounded extension of our rules and intentions [Kant]
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 / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
16. Persons / F. Free Will / 2. Sources of Free Will
The manifest will in the world of phenomena has to conform to the laws of nature [Kant]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Our aim is a constitution which combines maximum freedom with strong restraint [Kant]
The vitality of business needs maximum freedom (while avoiding harm to others) [Kant]
25. Social Practice / D. Justice / 1. Basis of justice
The highest ideal of social progress is a universal cosmopolitan existence [Kant]