3 ms·
Thanks for the link. As that seems very relevant to the discussion, let me add some context: This is Mochizuki's answer to the recent criticism titled "Report
by dvdkhlng 8y ago
Thanks for the link. As that seems very relevant to the discussion, let me add some context: This is Mochizuki's answer to the recent criticism titled "Report On Discussions, Held During The Period March 15 – 20, 2018, Concerning Inter-Universal Teichmuller Theory (IUTC)"
For TL;DR see around page 40 in that PDF:
> 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 com- pletely different from IUTch!
> 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.