Combining Texts

All the ideas for 'fragments/reports', 'Introduction to 'Hippias Minor'' and 'On the Senses'

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3 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
     Full Idea: Philosophy says it is not right even to stretch out a finger without some reason.
     From: Epictetus (fragments/reports [c.57], 15)
     A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!).
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
A mathematical object exists if there is no contradiction in its definition [Waterfield]
     Full Idea: A mathematical object exists provided there is no contradiction implied in its definition.
     From: Robin Waterfield (Introduction to 'Hippias Minor' [1987], p.44), quoted by Charles Chihara - A Structural Account of Mathematics 1.4
     A reaction: A rather bizarre criterion for existence. Not one, for example, that you would consider applying to the existence of physical objects! But then Poincaré is the father of 'conventionalism', rather than being a platonist.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
How can we state relativism of sweet and sour, if they have no determinate nature? [Theophrastus]
     Full Idea: How could what is bitter for us be sweet and sour for others, if there is not some determinate nature for them?
     From: Theophrastus (On the Senses [c.321 BCE], 70)
     A reaction: The remark is aimed at Democritus. This is part of the general question of how you can even talk about relativism, without attaching stable meanings to the concepts employed.