Combining Philosophers

All the ideas for Hilbert,D/Ackermann,W, George Boole and Andrew Shorten

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22 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC
The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
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 / H. Proof Systems / 2. Axiomatic Proof
Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
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]