Monday, February 11, 2019

the odd transformation of Der Herr Warum

L'Année Dernière à Marienbad (Alain Resnais/Grillet 1961);
The Great Abyss Inframince (A/Z 2018, for more see here);

"... the blindness of humanity to all the beauty and wonder of the Universe is due to this illusion of straightness. It is significant that Riemann, Bolyai and Lobatchewsky seem to have been the mathematical prophets of the New Revelation..."
Aleister Crowley, The Book of Thoth
"... when you work with people who misunderstand you, instead of getting transmissions you get transmutations, and that's much more interesting in the long run..."
Andy Warhol, The Philosophy of Andy Warhol
"Man muß die Größe seines Magens kennen... DasTempo des Stoffwechsels steht in einem genauen Verhältniß zur Beweglichkeit oder Lahmheit der Füße des Geistes; der 'Geist' selbst ist ja nur eine Art dieses Stoffwechsels."

"Marienbad: the name conjures up images of expensively dressed men and women walking leisurely on wide white paths through expansive manicured gardens, large fountains spewing the mineral-rich waters high into the air... The Gödel family is likely to have stayed at the elegant Baroque-style hotel at the springs, where many famous people have enjoyed their holidays, among them King Friedrich Wilhelm IV of Prussia, King Otto I of Greece, the Persian Shah Nasredding, Edward VII of Britain, as well as Goethe, Mark Twain, and Sigmund Freud, to name but a few.
As Kurt described the experience many years later, at Marienbad he underwent a transformation. Until the Gödel expected to pursue his interests in the humanities, social studies, and languages, as an educated man of the period. But walking the long corridors of the elegant hotel, strolling through the lavish parks, and soaking in the steaming mineral waters, he was suddenly changed..."
- Amir D. Aczel, The Mystery of the Aleph (WSP 2000).

"... [as revealed by Stefan Zweig in The World of Yesterday] before World War I, 'A ballet dancer ... was available for any man at any hour in Vienna for two hundred crowns.' [But] to marry someone with such associations could destroy even a well–established career," John W. Dawson, Logical Dilemmas (A. K. Peters, 1997).
"[Morgenstern] was astonished... to learn that Gödel took an interest in ghosts, and he was very dismayed by Gödel’s choice of wife, whom he described as 'a Viennese washerwoman type: garrulous uncultured, [and] strong-willed,'" John Dawson, Logical Dilemmas.
Dawson tells also that Gödel didn't care much for classical music and preferred popular songs. But according to him Gödel was interested in Modern art, television and Kafka, and believed in afterlife.
In The Mystery of Aleph, Amir D. Aczel characterizes Gödel's incompleteness theorem as follows: "there will always be propositions that cannot be proven within the system. Even if a theorem is true, it may be mathematically impossible to prove." This is fair enough, but what Aczel says next is completely wrong: "The human mind, existing within a limited universe, cannot perceive an immense entity that extends beyond the confines of the system." It is completely wrong because what is beyond the system is not bigger but smaller. The outside is inside, and the biggest is the smallest.

"Vladmir Voevodsky worried in a lecture at the Princeton Institute for Advanced Study that mathematics as we know it, and as analysed in present-day Foundations of Mathematics, might be inconsistent... that would, perhaps, be liberating... Most philosophers and logicians have jeered at Wittgenstein's asking, what's so great about consistency? Could we not do perfectly good mathematics from an inconsistent basis?" Ian Hacking, Why is there Philosophy of Mathematics at all? (Cambridge, 2014).

"Alain Connes is a Platonist. He thinks there is a totality of arithmetical truths, simply given with the number series itself. Thanks to Gödel we know that totality cannot be characterized by any recursive axiom system adequate to express its own syntax. This is not an argument for Platonism. It is an enrichment of Platonism with a new depth of understanding. As an attitude to reality and to incompleteness, this seems to me to be impeccable. But to avoid misunderstanding... as an argument for the existence of an archaic arithmetical reality, with all its truths intact, it begs the question" Hacking, Why is there Philosophy of Mathematics.

Consistency & Totality:
"Nothing capable of proof ought to be accepted in science without proof," Richard Dedekind, as quoted in Hacking, Why is there Philosophy of Mathematics.

See also:
- actual infinite falling (against Carlo Rovelli's pseudo-problem);
- the dogma of semantic uniformity & Python Gored Naturalism;
the only three types of ingenuity;


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