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All the ideas for 'fragments/reports', 'talk' and 'fragments/reports'

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4 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.
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
Maybe lots of qualia lead to intentionality, rather than intentionality being basic [Gildersleve]
     Full Idea: A common modern reductive view of the mind is that a hierarchy of intentional systems eventually produce qualia, but it might be the other way around. The mind is 'qualia-upon-qualia', with units of minimal qualia building up into intentional thought.
     From: Harry Gildersleve (talk [2005]), quoted by PG - Db (ideas)
     A reaction: If qualia are seen as existing at the most basic level of the brain, this may well imply panpsychism. It certainly says that basic brain cells are capable of minimal experiences. The idea that thought is essentially qualitative is very intriguing.
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
     Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes.
     From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078
     A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book.
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]
     Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness.
     From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42
     A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them.