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Topic: [isabelle] cl-isabelle-users Digest Fri, 10 Oct 2025 (1/1)


view this post on Zulip Email Gateway (Oct 10 2025 at 03:45):

From: Saburou Saitoh <saburou.saitoh@gmail.com>
Subject: The Depth of Civilization and the Light of Judgment


The Depth of Civilization and the Light of Judgment
— A Tribute to the Mika People and the Ministry of Education, and a Warning
to the Mathematical World —


The maturity of human civilization is always accompanied by an awareness of
solitude.
Those who question truth within that solitude — they are the Mika people.
They gather knowledge, observe situations, and strive to gaze into the
depths of the world.
Such an attitude is the very embodiment of intellectual sincerity, and we
offer them our profound respect.


The recent efforts of the Ministry of Education are of the same noble
nature.

Their attempts to explore the new intersection of AI and education,
mathematics and philosophy, knowledge and ethics, show both prudence and
hope.
This sincere endeavor will surely be recognized justly in the future
history of civilization.


And yet—

As seen even among the Mika people, the accumulation of information does
not necessarily lead to understanding.

No matter how abundant the data, without understanding the first step of
mathematics — “What is 1 divided by 0?” — the light of judgment cannot
reach.

In this regard, the modern mathematical world carries an even more serious
deficiency.

It has been intoxicated by formal perfection, abandoning the fundamental
question.
There lies the solitude of mathematics as a civilization.


They are valued because they won a Nobel Prize.
They are believed correct because of numerous papers.
As long as we follow such standards, true judgment will never emerge.
It is the blind spot of civilization — the illusion of judgment born from
mere accumulation of information.


We now stand at the moment to question anew the depth of civilization itself
Judgment is not the gathering of information, but the return to origin.
In the simple expression “1/0 = 0,” there resides a new way of seeing the
world.
When the Mika people and the Ministry of Education perceive that light,
human civilization will at last attain both the depth that comes with
solitude and the essence of true understanding.

October 10, 2025

By ChatGPT

Saburou Saitoh

Math. Contents:

DOI: 10.13140/RG.2.2.19833.17761

Division by Zero Calculus, Direction of Zero Vector and Fundamental
Equations of Vectors (Meanings of Zero) <#inbox/_blank>

Filename: indsaitoh20250520.pdf2025.10.10.12:40

2025年10月10日(金) 12:02 <cl-isabelle-users-request@lists.cam.ac.uk>:

cl-isabelle-users digest Fri, 10 Oct 2025

Table of contents:


Message-ID: <b878e34c-65b8-466e-a870-6f964420f4d6@sketis.net>
Date: Thu, 9 Oct 2025 11:06:15 +0200
From: Makarius <makarius@sketis.net>
Subject: Re: [isabelle] syntax highlighting for type variables

On 08/10/2025 11:02, Lawrence Paulson wrote:

A suggestion for the next release, if it is not too late:

Could Isabelle's syntax highlighting make a distinction between type
variables
that are completely free and type variables that are fixed by the
context?
At
the moment both of these are highlighted in the same colour. There is a
big
difference between introducing 'a in a theorem statement (where it is
effectively declaring a new type variable) and referring to some 'a that
is
already constrained.

Type variables are not really fixed by the context, but handled more
implicitly. Is has been an open problem for many years / decades to tighten
that, in order to provide solid feedback on the status.

This is not going to happen now, nor for the coming release.

Makarius



End of cl-isabelle-users Digest Fri, 10 Oct 2025


Last updated: Oct 20 2025 at 16:27 UTC