Combining Texts

All the ideas for 'fragments/reports', 'Atomism' and 'works'

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16 ideas

2. Reason / A. Nature of Reason / 1. On Reason
For clear questions posed by reason, reason can also find clear answers [Gödel]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]
The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
The social contract sees society as constituted by and for individuals [Taylor,C]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Assigning a right based on a human capacity implies that the capacity should be developed [Taylor,C]
If freedom depends on society and culture, the greatest freedom is in shaping them [Taylor,C]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Our reliance on other people close to us does not imply any political obligations [Taylor,C]
25. Social Practice / C. Rights / 1. Basis of Rights
For most people the primacy of rights mainly concerns freedom [Taylor,C]
A right is not just a rule, but also asserts certain ideas of moral worth [Taylor,C]
25. Social Practice / C. Rights / 4. Property rights
Property is not essential for life, but it may be essential for independence [Taylor,C]
25. Social Practice / E. Policies / 3. Welfare provision
If the state is neutral, there won't be sufficient community to support a welfare state [Taylor,C, by Kymlicka]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]