Combining Texts

All the ideas for 'fragments/reports', 'Contemporary Political Theory' and 'Russell's Mathematical Logic'

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28 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Liberal Nationalism says welfare states and democracy needed a shared sense of nationality [Shorten]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Impredicative definitions are admitted into ordinary mathematics [Gödel]
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
Utilitarians conflate acts and omissions; causing to drown and failing to save are the same [Shorten]
24. Political Theory / C. Ruling a State / 1. Social Power
There are eight different ways in which groups of people can be oppressed [Shorten, by PG]
24. Political Theory / D. Ideologies / 1. Ideology
Constitutional Patriotism unites around political values (rather than national identity) [Shorten]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is a method of selection, or it involves participation, or it concerns public discussion [Shorten]
Some say democracy is intrinsically valuable, others that it delivers good outcomes [Shorten]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
Representative should be either obedient, or sensible, or typical [Shorten]
There is 'mirror representation' when the institution statistically reflects the population [Shorten]
In a changed situation a Mandated Representative can't keep promises and fight for constituents [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal citizens have a moral requirement to respect freedom and equality [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Maybe the rational autonomous liberal individual is merely the result of domination [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Liberal equality concerns rights, and liberal freedom concerns choice of ends [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Liberal Nationalism encourages the promotion of nationalistic values [Shorten]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberalism should not make assumptions such as the value of choosing your own life plan [Shorten]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Liberals treat individuals as mutual strangers, rather than as social beings [Shorten]
24. Political Theory / D. Ideologies / 14. Nationalism
Liberal Nationalism is more communitarian, and Constitutional Patriotism more cosmopolitan [Shorten]
25. Social Practice / E. Policies / 2. Religion in Society
Religious toleration has been institutionalised by the separation of church and state [Shorten]
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]