Combining Texts

All the ideas for 'works', 'Rights of Man' and 'teachings'

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3 ideas

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
     Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points.
     From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13
     A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry.
24. Political Theory / B. Nature of a State / 3. Constitutions
A people, not government, creates a constitution, which is essential for legitimacy [Paine]
     Full Idea: A constitution is not the act of a government, but of a people constituting a government, and a government without a constitution is power without right.
     From: Thomas Paine (Rights of Man [1792], Ch.7), quoted by A.C. Grayling - The Good State 5
     A reaction: A constitution looks like the ultimate focus of a social contract (though Greeks had them long ago). It is hard to say why a government should consider itself to be sovereign if it hasn't got it in writing.
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Nagarjuna and others pronounced the world of experience to be an illusion [Nagarjuna, by Armstrong,K]
     Full Idea: Many later Buddhists (after Nagarjuna, c.120 CE) developed a belief that everything we experience is an illusion: in the West we would call them idealists.
     From: report of Nagarjuna (teachings [c.120]) by Karen Armstrong - A History of God Ch.3
     A reaction: This is just one step beyond Plato (who at least hung onto the immediate world as an inferior reality), and is presumably intended to motivate meditators to break out of the misery of existence into a higher realm. Personally I am against it.