
The following quote relays an anecdote with regards to Piero Sraffa and his influence upon Ludwig Wittgenstein. I’ve hear of a similar story in which Wittgenstein was supposedly sent into a tailspin over a cyclist’s contemptuous gesture that he felt belied his work in the “Tractatus Logico Philosophicus”. Anyways, here it is:
“Wittgenstein was insisting that a proposition and that which it describes must have the same 'logical form', the same 'logical multiplicity', Sraffa made a gesture, familiar to Neapolitans as meaning something like disgust or contempt, of brushing the underneath of his chin with an outward sweep of the finger-tips of one hand. And he asked: 'What is the logical form of that?'” -Norman Malcolm. Ludwig Wittgenstein: A Memoir. pp. 58–59.
Perhaps I’m mistaken, but Sraffa’s gesture to Wittgenstein is not a proposition. By definition, a proposition is a statement that functions as a truth-claim. Sraffa’s gesture is more akin to a negation and therefore a classic Wittgensteinian logical constant. No?
Comments
"Wittgenstein and P. Sraffa, a lecturer in economics at Cambridge, argued together a great deal over the ideas of the Tractatus. One day (they were riding, I think, on a train) when Wittgenstein was insisting that a proposition and that which it describes must have the same 'logical form', the same 'logical multiplicity', Sraffa made a gesture, familiar to Neapolitans as meaning something like disgust or contempt, of brushing the underneath of his chin with an outward sweep of the finger-tips of one hand. And he asked: 'What is the logical form of that?' Sraffa's example produced in Wittgenstein the feeling that there was an absurdity in the insistence that a proposition and what it describes must have the same 'form'. This broke the hold on him of the conception that a proposition must literally be a 'picture' of the reality it describes." --Norman Malcolm (1966). Ludwig Wittgenstein: A Memoir. Oxford University Press: 69
Anyways, it seems as if it wasn't the logical form or lack of in Sraffa's gesture but an idea that it sparked.
That was the end of the "analitic" utopia: there is no way to formalize human language in one complete logical system.