Science > Physics > Nonconformist Profiles: Yuri A. Rylov, Institute for Problems in Mechanics, Russian Academy of Sciences
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Science > Physics |
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"OsherD" |
| Date: |
10 Oct 2006 12:54:43 AM |
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Nonconformist Profiles: Yuri A. Rylov, Institute for Problems in Mechanics, Russian Academy of Sciences |
From Osher Doctorow
Readers may be familiar with the fact that I fairly often attack
Conformist fads in mathematics and physics, especially algebraic
topology and algebraic geometry. A researcher with many more
publications than me, David Ruelle, in Chance and Chaos (I forget the
date), has made some devastating attacks on Conformity in
Publish-and-Perish and Peer Review.
Now comes. from a totally unexpected source, Yuri A. Rylov of the
Institute for Problems in Mechanics, Russian Academy of Sciences,
Moscow, "Crisis in the geometry development and its social
consequences," math.GM/0609765 v1 27 Sep 2006, who has the "guts" to
attack both the mathematics and physics establishments worldwide.
Ordinarily, that would seem to qualify him for inclusion in some
"Crank" or "Crackpot" list by Bureaucrats on the internet, but Rylov
has some fascinating stuff.
Rylov's English is not quite fluent, so he'll be difficult reading for
most people, and he doesn't make enough use of section or subsection
headings for easy reading, but here are some of his points in my
re-expression in the above paper, with my comments in parentheses.
A. Probability increases with mass (maybe untrue, but it's in the
direction of simplification)
B. Topology is irrelevant to Geometry or is overemphasized (latter
probably true)
C. Euclidean Geometry "deformed" is "universal" rather than
Non-Euclidean Geometry (certainly a novel and possible idea)
D. Straight lines shouldn't have been "axiomatized" as having dimension
1 by Euclid, but should be allowed to be (thin) tubes for example as
well (this should be explored further)
E. Mathematicians with seniority in Academia tend to "perceive" via
(axiomatic) formalisms which are more habitual than accurate, which
tends to influence their tendency to reject novel ideas in Peer-Review
(arguably true).
F. Physicists tend to be Conformists in tenured Academic positions
(arguably true).
G. Mathematicians and physicists are obsessed with Theorems or
complicated Axioms, which tends to make them ignore simple Definitions
and improving symbolisms (arguably true).
Osher Doctorow
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| User: "OsherD" |
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| Title: Re: Nonconformist Profiles: Yuri A. Rylov, Institute for Problems in Mechanics, Russian Academy of Sciences |
10 Oct 2006 01:09:16 AM |
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From Osher Doctorow
Rylov points out that any deformation means change of distance between
spatial points, generating generalized geometry from Euclidean space.
Two problems or paradoxes that Rylov discusses are the Convexity
Problem (nonconvex regions of the plane can't be embedded isometrically
in general in the Euclidean plane from which they're cut) and the
Fernparallelism Problem (remote vectors in Riemannian geometry don't
have parallelism defined).
Rylov traces the root of these Paradoxes to topological mischief so to
speak in developing (Non-Eucliean and Riemannian) geometry.
Some readers will mistakenly think that Rylov is opposed to theorems
and only favors definitions. His style of writings contributes to that
misinterpretation, but it's not what he appears to believe. He wants
theorems to be derived by "deformation" from Euclidean geometry where
theorems are already available (thanks to Euclid et al especially).
Osher Doctorow
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| User: "Jonnie" |
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| Title: Re: Nonconformist Profiles: Yuri A. Rylov, Institute for Problems in Mechanics, Russian Academy of Sciences |
10 Oct 2006 10:47:02 AM |
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"OsherD" <> wrote in message
news:1160460556.131744.227870@k70g2000cwa.googlegroups.com...
From Osher Doctorow
Rylov points out that any deformation means change of distance between
spatial points,
brilliant statement, but obvious.
generating generalized geometry from Euclidean space.
how can a field of math be generated from a change in distance ?
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