Tuesday, January 29, 2019

the most auspicious tetrahedron &/or two pairs of charming mathematicians

Niels Henrik Abel
Évariste Galois
(pictures taken from the Internet)
What did they do?
Well, conjure the most remarkable consequences of an old ghost (Vieta's logistica speciosa): "solutions" for the general algebraic equations of degree higher than four.

- Bernhard Riemann
- Kingdon Clifford
(picture taken from the Internet)
What did they do?
Riemann simply solved the following riddle (and by doing so challenged classical and common sense understanding about space, which remains pretty much our understanding till nowadays): what is real space?
Clifford understood that.
"Riemann's allusions were ignored by the majority of contemporary mathematicians and physicists. His investigations were deemed too speculative and theoretical to bear any relevance to physical space, the space of experience. The only one who allied himself firmly to Riemann was the translator fo his works into English, William Kingdon Clifford... already in 1870, Clifford saw in Riemann's conception of space the possibility for a fusion of geometry with physics... Clifford conceived matter and its motion as a manifestation of varying curvature [of space]... For Aristotle, space was an accident of substance; for Clifford... substance is an accident of space... These speculations aroused great opposition among academic philosophers..." (Max Jammer, Concepts of Space, Dover 1993);
"Riemann came to a deep philosophical conviction that a complete mathematical theory must be established, which would take the elementary laws governing points and transform them to the great generality of the plenum (by which he meant continuously-filled space)... the Riemann Integral calculus is defined as an infinite sum of integrals of step functions. Such infinite sums became the starting points for the study of infinite by Georg Cantor" (Amir D. Aczel, The Mystery of the Aleph, WSP 2000);

See also:
- actual infinite falling (against Carlo Rovelli's pseudo-problem);
- the dogma of semantic uniformity & Python Gored Naturalism;
- the odd transformation of Der Herr Warum (Gödel & Resnais);
- the only three types of ingenuity (with Cantor & Dedekind);
- self-help books (with Rupert Sheldrake);
- what is REAL space? what is REAL number?
- Timothy Leary in the 1990s;
- 5G?! Get real...
- list of charming scientists/engineers;
- pick a soul (ass you wish);
- view from Berthe Trépat's apartment;
- list des déclencheurs musicaux;
- Dark Consciousness (with Yasuo Yuasa);
- The Doors of Perception (with Huxley);
- Structuralism, Poststructuralism (with Julia Kristeva);
- List des figures du chaos primordial (Deleuze);
- Brazilian Perspectivism (Viveiros de Castro vs. Haroldo de Campos);
- Piano Playing (with Kochevitsky);
- L'Affirmation de l'âne (review of Smolin/Unger's The Singular Universe);
And also:
- Dogen with Hagakure;
- L'articulation (Maurice Blanchot);
- L'intelligence des fleurs;
- Spooky Blue;
- Interactive while indifferent—Kinds & Phantasmagoria circa 1900;

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