Combining Texts

All the ideas for 'fragments/reports', 'De rebus naturalibus' and 'Difficulties of Transfinite Numbers and Types'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Predicative' norms are those which define a class [Russell]
     Full Idea: Norms (containing one variable) which do not define classes I propose to call 'non-predicative'; those which do define classes I shall call 'predicative'.
     From: Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
     Full Idea: We need rules for deciding what norms are predicative and what are not, unless we adopt the view (which has much to recommend it) that no norms are predicative. ...[146] A predative propositional function is one which determines a class.
     From: Bertrand Russell (Difficulties of Transfinite Numbers and Types [1905], p.141)
     A reaction: He is referring to his 'no class' theory, which he favoured at that time.
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
A power is not a cause, but an aptitude for a cause [Zabarella]
     Full Idea: A power is not the cause of an operation, but only the cause's aptitude for operating.
     From: Jacob Zabarella (De rebus naturalibus [1590], De fac anim 4:col 692), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 23.5
     A reaction: His example is the power of running, which is actually caused by the soul (or whatever), which generates the power. A power is a very superficial thing.
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.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter is exceptionally obscure [Zabarella]
     Full Idea: Nothing in the natural world seems to be more obscure and difficult to grasp than the prime matter of things.
     From: Jacob Zabarella (De rebus naturalibus [1590], I.1 col 133), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 2.1
     A reaction: This spells the beginning of the end for 'prime matter', since a late scholastic is doubting it, even before the scientists got to work. Most modern Aristotelians slide quietly past prime matter, as unhelpful.
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.