Combining Texts

All the ideas for 'fragments/reports', 'Mathematical logic and theory of types' and 'Contemporary Political Theory'

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29 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
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 / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius]
19. Language / F. Communication / 1. Rhetoric
Destroy seriousness with laughter, and laughter with seriousness [Gorgias]
Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato]
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]