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All the ideas for 'fragments/reports', 'Counting and the Natural Numbers' and 'fragments/reports'

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11 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
If all laws were abolished, philosophers would still live as they do now [Aristippus elder]
     Full Idea: If all laws were abolished, philosophers would still live as they do now.
     From: Aristippus the elder (fragments/reports [c.395 BCE]), quoted by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.4
     A reaction: Presumably philosophers develop inner laws which other people lack.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
The essence of natural numbers must reflect all the functions they perform [Sicha]
     Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
     A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
     Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3)
Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
     Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities.
     From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2)
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
Only the Cyrenaics reject the idea of a final moral end [Aristippus elder, by Annas]
     Full Idea: The Cyrenaics are the most radical ancient moral philosophers, since they are the only school explicitly to reject the importance of achieving an overall final end.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Julia Annas - The Morality of Happiness 11.1
     A reaction: This looks like dropping out, but it could also be Keats's 'negative capability', of simply participating in existence without needing to do anything about it.
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
The road of freedom is the surest route to happiness [Aristippus elder, by Xenophon]
     Full Idea: The surest road to happiness is not the path through rule nor through servitude, but through liberty.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Xenophon - Memorabilia of Socrates 2.1.9
     A reaction: The great anarchist slogan. Personally I don't believe it, because I agree a little with Hobbes that authority is required to make cooperation flourish, and that is essential for full happiness. If I were a slave, I would agree with Aristippus.
23. Ethics / A. Egoism / 3. Cyrenaic School
Pleasure is the good, because we always seek it, it satisfies us, and its opposite is the most avoidable thing [Aristippus elder, by Diog. Laertius]
     Full Idea: Pleasure is the good because we desire it from childhood, when we have it we seek nothing further, and the most avoidable thing is its opposite, pain.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.8
People who object to extravagant pleasures just love money [Aristippus elder, by Diog. Laertius]
     Full Idea: When blamed for buying expensive food he asked "Would you have bought it for just three obols?" When the person said yes, he said,"Then it is not that I am fond of pleasure, but that you are fond of money".
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.7.4
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Errors result from external influence, and should be corrected, not hated [Aristippus elder, by Diog. Laertius]
     Full Idea: Errors ought to meet with pardon, for a man does not err intentionally, but influenced by some external circumstances. We should not hate someone who has erred, but teach him better.
     From: report of Aristippus the elder (fragments/reports [c.395 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.9
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.