CONTENTS

Decrypt history, Encrypt future™

MIP∗ = REに至る過程

https://www.math.ias.edu/~avi/TALKS/PvsNP_Clay%20Research%20Conference_2025.pdf#page=33.00 MIP∗ = RE(Nov 7 202…
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不可能性の発見の歴史|アーベル群

① √2 が有理数にならないことの証明(紀元前6世紀頃 ギリシャサモス・ピタゴラス学派) 歴史上、最も古い不可能性の証明です。「正方形の辺の長さと対角線の長さを、どちらも整数比で表すことは不可能である( √2 は分数で表…
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The Boundary Conditions of the Interactive Knowledge Machine 対話型知識マシンの境界条件

Humans generally explore the ‘edges’ of theory based on the premises of classical theorem sequences. When sear…
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Books about computational complexity

Books of computational complexity https://www.math.ias.edu/files/Book-online-Aug0619.pdf https://www.math.ias.…
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P vs NP

The impact of the P vs NP framework on the global power game is fundamental. Most people do not realize that a…
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願望のホモトピータイプ特定 Attention to Materialization

AがXからYに行きたいという問題A:X→Yは問題の形状と性質の問題である。A:X→Yという願望実現は最小作用空間航行問題と同型である。つまり、AというホモトピータイプがX↔︎Yという可換である内部項を有していれば、AがX…
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constraints: continuum vs discrete

There is a fundamental gap in effective universe model game. Continuous models—much like trying to solve the C…
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From Cantor to Quantum(1874-2026)

Why the History of Mathematics and Computation Shapes the Future of Value Breakthrough What is the ultimate fo…
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17 Breakthrough Prize in Mathematics Laureates

Year Ceremony location Laureates Affiliation (when awarded) Affiliation (current/last) Reasons 2015 Mountain V…
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81 Life Sciences Breakthrough Prize Laureates

Year Ceremony location Laureates Affiliation (when awarded) Affiliation (current/last) Reasons 2013 Geneva, Sw…
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