7 ideas
17447 | Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck] |
Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal. | |
From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3 | |
A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'. |
6012 | We must choose in which of the virtues we wish to excel [Panaetius] |
Full Idea: Humans have four roles in life, of which the fourth involves choices, of career, and of the virtue in which one wishes to excel. | |
From: Panaetius (fragments/reports [c.145 BCE]), quoted by Elizabeth Asmis - Panaetius | |
A reaction: Panaetius strikes me as exceptionally wise. A big gap in Aristotle is the fact that we cannot excel in all virtues, and that therefore some choice is required. By what criteria? We have the Gauguin problem (excel in one, disgraceful in the others). |
6013 | Panaetius said we should live according to our natural starting-points [Panaetius, by Asmis] |
Full Idea: Panaetius reformulated the Stoic goal as living in accordance with the starting-points given to us by nature. | |
From: report of Panaetius (fragments/reports [c.145 BCE]) by Elizabeth Asmis - Panaetius | |
A reaction: This sounds remarkably like the substitution of meritocratic equality of opportunity for communistic actual equality. In other words, it doesn't sound very Stoic. 'Live according to nature' implies more restraint than this ambitious version. |
6014 | Panaetius identified courage with great-mindedness, preferring civic courage to military [Panaetius, by Asmis] |
Full Idea: Panaetius recast the virtue of courage as 'greatmindedness' (Aristotle's paramount virtue), he demoted military valour and gave priority to courage displayed in civic life. | |
From: report of Panaetius (fragments/reports [c.145 BCE]) by Elizabeth Asmis - Panaetius | |
A reaction: I find this very appealing, as I am increasingly horrified by our denigration of the people who implement our democracy for us. We urgently need to get back to the Greek idea of civic virtue, and this idea of Panaetius should be widely promulgated. |
13304 | 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. |
20820 | 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. |
5888 | Souls are born, since they are sensitive and inherited, so they must perish [Panaetius, by Cicero] |
Full Idea: Panaetius says that whatever is born must perish, and souls are clearly born, as shown by the resemblance of children to their parents in disposition as well as body; also, anything sensible of pain is susceptible to sickness, and hence perishes. | |
From: report of Panaetius (fragments/reports [c.145 BCE]) by M. Tullius Cicero - Tusculan Disputations I.xxxii | |
A reaction: These seem to be rather good arguments. If we actually observe what someone's soul is like (through character) it seems rooted in a family and culture, and it certainly seems susceptible to disease. An empirical approach. |