Combining Texts

All the ideas for 'Defending the Axioms', 'The Case against Closure (and reply)' and 'Against Elections'

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24 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
19544 Closure says if you know P, and also know P implies Q, then you must know Q [Dretske]
19545 We needn't regret the implications of our regrets; regretting drinking too much implies the past is real [Dretske]
19546 Knowing by visual perception is not the same as knowing by implication [Dretske]
19547 Reasons for believing P may not transmit to its implication, Q [Dretske]
19548 The only way to preserve our homely truths is to abandon closure [Dretske]
19549 P may imply Q, but evidence for P doesn't imply evidence for Q, so closure fails [Dretske]
19550 We know past events by memory, but we don't know the past is real (an implication) by memory [Dretske]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
20086 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
20090 Today it seems almost impossible to learn the will of the people [Reybrouck]
20087 There are no united monolothic 'peoples', and no 'national gut feelings' [Reybrouck]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
20089 Technocrats may be efficient, but they lose legitimacy as soon as they do unpopular things [Reybrouck]
20088 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
20085 Democracy is the best compromise between legitimacy and efficiency [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
20095 A referendum result arises largely from ignorance [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
20094 You don't really govern people if you don't involve them [Reybrouck]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
20093 In the 18th century democratic lots lost out to elections, that gave us a non-hereditary aristocracy [Reybrouck]
20091 Representative elections were developed in order to avoid democracy [Reybrouck]