Combining Texts

All the ideas for 'Necessary Existents', 'Contemporary Political Theory' and 'On Second-Order Logic'

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25 ideas

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 / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
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]