Combining Texts

All the ideas for 'fragments/reports', 'Against Elections' and 'On Second-Order Logic'

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19 ideas

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]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Nowadays sovereignty (once the basis of a state) has become relative [Reybrouck]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
Today it seems almost impossible to learn the will of the people [Reybrouck]
There are no united monolothic 'peoples', and no 'national gut feelings' [Reybrouck]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
Technocrats may be efficient, but they lose legitimacy as soon as they do unpopular things [Reybrouck]
Technocrats are expert managers, who replace politicians, and can be long-term and unpopular [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Democracy is the best compromise between legitimacy and efficiency [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
A referendum result arises largely from ignorance [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
You don't really govern people if you don't involve them [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
In the 18th century democratic lots lost out to elections, that gave us a non-hereditary aristocracy [Reybrouck]
Representative elections were developed in order to avoid democracy [Reybrouck]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]