Combining Texts

All the ideas for 'fragments/reports', 'Elements of Mathematical Logic' and 'Letters'

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7 ideas

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.
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
When we admire a work, we see ourselves as its creator [Weil]
     Full Idea: It is impossible to admire a work of art without thinking oneself, in a way, its creator and without, in a sense, becoming so.
     From: Simone Weil (Letters [1940], 1940-03c)
     A reaction: This rings true for me. You almost see yourself making the brush strokes, or writing the phrase, or penning the chords. It is engagment which is essential for artistic experience. So all art lovers want to be artists?
25. Social Practice / B. Equalities / 1. Grounds of equality
Relationships depend on equality, so unequal treatment kills them [Weil]
     Full Idea: I conceive human relations solely on the plane of equality; therefore, so soon as someone begins to treat me as an inferior, human relations between us become impossible in my eyes.
     From: Simone Weil (Letters [1940], 1936-03)
     A reaction: Love that. This is precisely where equality starts. I fear that the problem is that people who don't treat others as equals don't want relationships with them, which particularly occurs in a competitive or hierarchical culture.
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.
29. Religion / B. Monotheistic Religion / 5. Bible
The cruelty of the Old Testament put me off Christianity [Weil]
     Full Idea: I have always been kept away from Christianity by its ranking the Old Testament stories, so full of pitiless cruelty, as sacred texts.
     From: Simone Weil (Letters [1940], 1941-01)
     A reaction: After 1938 she was a devout and intense Christian, but of a highly individual and platonist kind. Her religion is dominated by love and beauty.
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil]
     Full Idea: You attach great importance to the reasoning about immortality. I myself attach little. It is a factual question, which cannot be decided in advance by any reasoning. And what does it matter to us?
     From: Simone Weil (Letters [1940], 1937-04c)
     A reaction: I love 'what does it matter to us?'. The idea that our future bliss or misery depends on how we live now is an utterly wicked fiction, which derails attempts to live a proper life.