[過去ログ] 現代数学の系譜 工学物理雑談 古典ガロア理論も読む79 (1002レス)
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424(1): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [] 2019/12/15(日) 12:45:48.93 ID:BvQtIPz4(8/25) AAS
>>423
つづき
P41
§17. The fundamental misunderstandings of IUTch discussed in the present report may be summarized as a failure to understand the following central aspects of IUTch:
P42
§18. In the context of the present report, it is important to recall that
(Vrf1) IUTch has been checked, verified, read and reread, and orally exposed in detail in seminars in its entirety countless times since the release of preprints on IUTch in August 2012 by a collection of mathematicians (not
including myself) involved in this line of research.
(For instance, Fesenko estimates, in the most recent updated version of §3.1 of his survey [Fsk],that IUTch has been verified at least 30 times.)
This collection of mathematicians has (together with me) also been actively involved in detailed discussions and dialogues with mathematicians who have any questions concerning IUTch.
P43
Indeed, at numerous points in the March discussions, I was often tempted to issue a response of the following form to various assertions of SS (but typically refrained from doing so!):
Yes! Yes! Of course, I completely agree that the theory that you are discussing is completely absurd and meaningless, but that theory is completely different from IUTch!
つづく
425(1): 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [] 2019/12/15(日) 12:46:11.50 ID:BvQtIPz4(9/25) AAS
>>424
つづき
P44
Nevertheless, the March discussions were productive in the sense that they yielded a valuable first glimpse at the mathematical content of the misunderstandings that underlie criticism of IUTch (cf. the discussion of §3).
In the present report, we considered various possible causes for these misunderstandings, namely:
(PCM1) lack of sufficient time to reflect deeply on the mathematics under discussion (cf. the discussion in the final portions of §2, §10);
(PCM2) communication issues and related procedural irregularities (cf.(T6), (T7), (T8));
(PCM3) a deep sense of discomfort, or unfamiliarity, with new ways of thinking about familiar mathematical objects (cf. the discussion of §16; [Rpt2014], (T2); [Fsk], §3.3).
On the other hand, the March discussions were, unfortunately, by no means sufficient to yield a complete elucidation of the logical structure of the causes underlying the misunderstandings summarized in §17.
(引用終り)
囲繞
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