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2019.03.30
カテゴリ： カテゴリ未分類
ゼロ除算算法、ホーントーラスモデルさえ 計算器に取り込まれつつあるという、驚くべき情報、メールが入りました。 これは既に公開されている。
関係者：
先ほどのメールを見ると、私たちの結果、どんどんイサベルに投入されて、計算機上で構築されつつあるという 驚くべき展開を見せています。
どんどん取り込まれているので、 取り組みやすい形で どんどんアーカイブ 掲示盤上で 公開していくのが 良いように 思います。
彼の理解は 異常に早く、責任者たちと関係が深く、 直接 その構想の 中にいるようです。 凄く内部状況に詳しいことが 良くわかります。
既に ホーントーラスの話題に 及んでいる！！
予想できない展開です。
２０１９．３．３０．１９：２９
---------- Forwarded message ---------
From: Saburou Saitoh
Date: 2019年3月30日(土) 19:06
Subject: Re: two justification of division by zero
To: Jose Manuel Rodriguez Caballero
Cc: Okoh Ufuoma
Dear Jose:
Your e-mail is very exciting and I have already some ideas on the topics.
I have some document on the topics in Japanese, however, its English version is difficult still, because my representation ability is indeed poor.
Anyhow, I would like to write it in English.
INFINITY and ZERO,
Divergence and zero.
With great pleasures,
With deep thanks,
Sincerely yours,
Saburou Saitoh
2019.3.30.1９：００
2019年3月30日(土) 18:42 Jose Manuel Rodriguez Caballero
Dear Okoh,
Here is the definition of the horn torus: http://mathworld.wolfram.com/HornTorus.html
In short: the horn torus is the result of the identification between zero and infinity on the Riemann sphere. Here is the Riemann sphere: https://en.wikipedia.org/wiki/Riemann_sphere
The result of x/0+2000, according to Isabelle/HOL is 2000. Explanation: the identification between zero and infinity on the Riemann sphere holds for the multiplication, but not for the addition. The reason is that zero and infinity behave in the same way for the product by a number z which is neither zero nor infinity, i.e.,
0 * z = 0,
infinity * z = infinity.
Therefore, we can identify the zero and the infinity in case of multiplication. For addition, such identification is not possible, because,
0 + z = z,
infinity + z = infinity.
Nevertheless, you can use that x/0 = 0, following the rules from Isabelle/HOL and you will obtain no contradiction. Indeed, you can check this fact just downloading Isabelle/HOL: https://isabelle.in.tum.de/
and copying the following code
theory DivByZeroSatoih
imports Complex_Main
begin
theorem T: ‹x/0 + 2000 = 2000› for x :: complex
by simp
end
Now, returning to your question, "The number of terms of the sequence 1, 2, 3, -------- is A. infinity B. zero C. one D all of the above E. any of the above. Which option is correct?" Again, like in the case of addition, the identification between zero and infinity, which can be done in multiplication, is not justified for cardinality of sets.
Kind Regards,
José M.
関係者：
先ほどのメールを見ると、私たちの結果、どんどんイサベルに投入されて、計算機上で構築されつつあるという 驚くべき展開を見せています。
どんどん取り込まれているので、 取り組みやすい形で どんどんアーカイブ 掲示盤上で 公開していくのが 良いように 思います。
彼の理解は 異常に早く、責任者たちと関係が深く、 直接 その構想の 中にいるようです。 凄く内部状況に詳しいことが 良くわかります。
既に ホーントーラスの話題に 及んでいる！！
予想できない展開です。
２０１９．３．３０．１９：２９
---------- Forwarded message ---------
From: Saburou Saitoh
Date: 2019年3月30日(土) 19:06
Subject: Re: two justification of division by zero
To: Jose Manuel Rodriguez Caballero
Cc: Okoh Ufuoma
Dear Jose:
Your e-mail is very exciting and I have already some ideas on the topics.
I have some document on the topics in Japanese, however, its English version is difficult still, because my representation ability is indeed poor.
Anyhow, I would like to write it in English.
INFINITY and ZERO,
Divergence and zero.
With great pleasures,
With deep thanks,
Sincerely yours,
Saburou Saitoh
2019.3.30.1９：００
2019年3月30日(土) 18:42 Jose Manuel Rodriguez Caballero
Dear Okoh,
Here is the definition of the horn torus: http://mathworld.wolfram.com/HornTorus.html
In short: the horn torus is the result of the identification between zero and infinity on the Riemann sphere. Here is the Riemann sphere: https://en.wikipedia.org/wiki/Riemann_sphere
The result of x/0+2000, according to Isabelle/HOL is 2000. Explanation: the identification between zero and infinity on the Riemann sphere holds for the multiplication, but not for the addition. The reason is that zero and infinity behave in the same way for the product by a number z which is neither zero nor infinity, i.e.,
0 * z = 0,
infinity * z = infinity.
Therefore, we can identify the zero and the infinity in case of multiplication. For addition, such identification is not possible, because,
0 + z = z,
infinity + z = infinity.
Nevertheless, you can use that x/0 = 0, following the rules from Isabelle/HOL and you will obtain no contradiction. Indeed, you can check this fact just downloading Isabelle/HOL: https://isabelle.in.tum.de/
and copying the following code
theory DivByZeroSatoih
imports Complex_Main
begin
theorem T: ‹x/0 + 2000 = 2000› for x :: complex
by simp
end
Now, returning to your question, "The number of terms of the sequence 1, 2, 3, -------- is A. infinity B. zero C. one D all of the above E. any of the above. Which option is correct?" Again, like in the case of addition, the identification between zero and infinity, which can be done in multiplication, is not justified for cardinality of sets.
Kind Regards,
José M.
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2019.03.30 19:41:12
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