Combining Texts

All the ideas for 'fragments/reports', 'The Foundations of Mathematics' and 'A Short History of German Philosophy'

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5 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Early Romantics sought a plurality of systems, in a quest for freedom [Hösle]
     Full Idea: It was an early Romantic idea that there is necessarily a plurality of systems in which individuality is expressed; for a complete system would destroy freedom.
     From: Vittorio Hösle (A Short History of German Philosophy [2013], 7)
     A reaction: I'm not clear why you are free because you are locked into system that differs from that of other people. True freedom seems to be either no system, or continually remaking one's own system. Why is such freedom valuable? Freedom v truth?
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
You would cripple mathematics if you denied Excluded Middle [Hilbert]
     Full Idea: Taking the principle of Excluded Middle away from the mathematician would be the same, say, as prohibiting the astronomer from using the telescope or the boxer from using his fists.
     From: David Hilbert (The Foundations of Mathematics [1927], p.476), quoted by Ian Rumfitt - The Boundary Stones of Thought 9.4
     A reaction: [p.476 in Van Heijenoort]
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.
25. Social Practice / E. Policies / 5. Education / d. Study of history
In the 18th century history came to be seen as progressive, rather than cyclical [Hösle]
     Full Idea: The turning point in the history of the philosophy of history occurs in the eighteenth century, when the ancient cyclical model of Vico is superseded by the idea of progress.
     From: Vittorio Hösle (A Short History of German Philosophy [2013], 6)
     A reaction: He says that Hegel merely inherited this progressive view, rather than creating it. I'm not sure how widely held the cyclical view was. I don't recognise it in Shakespeare. Science and technology must have suggested progress.
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.