Combining Texts

All the ideas for 'fragments/reports', 'Principles of Arithmetic, by a new method' and 'works'

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21 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
23027 Ideals and metaphysics are practical, not imaginative or speculative [Green,TH, by Muirhead]
3. Truth / D. Coherence Truth / 1. Coherence Truth
23030 Truth is a relation to a whole of organised knowledge in the collection of rational minds [Green,TH, by Muirhead]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
23044 All knowledge rests on a fundamental unity between the knower and what is known [Green,TH, by Muirhead]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
23034 The ultimate test for truth is the systematic interdependence in nature [Green,TH, by Muirhead]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
23032 What is distinctive of human life is the desire for self-improvement [Green,TH, by Muirhead]
23. Ethics / A. Egoism / 2. Hedonism
23033 Hedonism offers no satisfaction, because what we desire is self-betterment [Green,TH, by Muirhead]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
23045 Politics is compromises, which seem supported by a social contract, but express the will of no one [Green,TH]
24. Political Theory / B. Nature of a State / 4. Citizenship
23050 The ideal is a society in which all citizens are ladies and gentlemen [Green,TH]
23052 Enfranchisement is an end in itself; it makes a person moral, and gives a basis for respect [Green,TH]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
23036 The good is identified by the capacities of its participants [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
23039 A true state is only unified and stabilised by acknowledging individuality [Green,TH, by Muirhead]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
23038 People only develop their personality through co-operation with the social whole [Green,TH, by Muirhead]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
23040 If something develops, its true nature is embodied in its end [Green,TH]
28. God / A. Divine Nature / 1. God
23031 God is the ideal end of the mature mind's final development [Green,TH]
28. God / C. Attitudes to God / 4. God Reflects Humanity
23041 God is the realisation of the possibilities of each man's self [Green,TH]