Combining Texts

All the ideas for 'fragments/reports', 'Elements of Mathematical Logic' and 'A World of Propensities'

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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!).
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
Lukasiewicz's L3 logic has three truth-values, T, F and I (for 'indeterminate') [Lukasiewicz, by Fisher]
     Full Idea: In response to Aristotle's sea-battle problem, Lukasiewicz proposed a three-valued logic that has come to be known as L3. In addition to the values true and false (T and F), there is a third truth-value, I, meaning 'indeterminate' or 'possible'.
     From: report of Jan Lukasiewicz (Elements of Mathematical Logic [1928], 7.I) by Jennifer Fisher - On the Philosophy of Logic
     A reaction: [He originated the idea in 1917] In what sense is the third value a 'truth' value? Is 'I don't care' a truth-value? Or 'none of the above'? His idea means that formalization doesn't collapse when things get obscure. You park a few propositions under I.
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Propensities are part of a situation, not part of the objects [Popper]
     Full Idea: Propensities should not be regarded as inherent in an object, such as a die or a penny, but should be regarded as inherent in a situation (of which, of course, the object was part).
     From: Karl Popper (A World of Propensities [1993], p.14), quoted by George Molnar - Powers 6.2
     A reaction: Molnar argues against this claim, and I agree with him. We can see why Popper might prefer this relational view, given that powers often only become apparent in unusual relational situations.