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20100
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Classical liberalism seeks freedom of opinion, of private life, of expression, and of property [Micklethwait/Wooldridge]
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Full Idea:
The classical liberals agreed on a basic list of freedoms: of opinion (including religion), of private life, of expression, and of property
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From:
Micklethwait,J/Wooldridge,A (The Fourth Revolution [2014], 9)
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A reaction:
Mill is main articulator of this. Modern neo-liberals focus on economic freedom. Neither of them seem to make freedom of opportunity central, though I suspect our modern Liberal Party would.
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13165
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Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
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Full Idea:
Geometry does not ask 'why?' ..When from the exterior angle equalling two opposite interior angles it is shown that the interior angles make two right angles, this is not a causal demonstration. With no exterior angle they still equal two right angles.
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From:
Proclus (Commentary on Euclid's 'Elements' [c.452], p.161-2), quoted by Paolo Mancosu - Explanation in Mathematics §5
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A reaction:
A very nice example. It is hard to imagine how one might demonstrate the cause of the angles making two right angles. If you walk, turn left x°, then turn left y°, then turn left z°, and x+y+z=180°, you end up going in the original direction.
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9569
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The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
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Full Idea:
It is unsurprising that geometry was discovered in the necessity of Nile land measurement, since everything in the world of generation goes from imperfection to perfection. They would naturally pass from sense-perception to calculation, and so to reason.
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From:
Proclus (Commentary on Euclid's 'Elements' [c.452]), quoted by Charles Chihara - A Structural Account of Mathematics 9.12 n55
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A reaction:
The last sentence is the core of my view on abstraction, that it proceeds by moving through levels of abstraction, approaching more and more general truths.
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20097
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The welfare state aims at freedom from want, and equality of opportunity [Micklethwait/Wooldridge]
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Full Idea:
In the classical liberal tradition freedom meant freedom from external control, and equality meant equality before the law. In the welfare state (of Beatrice Webb) freedom was reinterpreted as freedom from want, and equality as equality of opportunity.
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From:
Micklethwait,J/Wooldridge,A (The Fourth Revolution [2014], 3)
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A reaction:
The authors call this the 'third revolution' in government, after 17th century centralisation and early 19th century accountability. Tawney 1931 is the key text.
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