Mathematics

ニューヨーク・タイムズベストセラー！テクノロジーの加速度的な進歩による人間社会の変化を予測して、ことごとく的中させてきたカーツワイルの最新話題作が、ついに日本上陸。彼が予測するAIが人間の知性を超える2029年はあと5年後に迫っている。

In this Very Short Introduction Philip K. Maini describes the art of modeling, what it is, why we do it, and illustrates how the abstract way of thinking that is the essence of mathematics enables us to transfer knowledge from one area of research to another.

Calculus isn’t just math. It’s how we figured out motion, change, curves, and reality itself. In Calculus 101, JJ takes you on a high-speed ride through the history, drama, and logic behind the most powerful tool humans ever invented. From ancient geometry and Zeno’s paradoxes to Newton’s plague-year breakthrough and the equations running Wall Street, this book breaks it all down in plain English with clarity, humor, and momentum.

What if the "wisdom of the ages" isn't poetry, but fossilized data? In Foundations of Intellectual Substrate Mining, Boris Kriger shatters the boundary between the humanities and hard systems science. He proposes that our cultural heritage—proverbs, maxims, and ancient doctrines—is actually a high-density Intellectual Substrate: a record of formal laws tested by reality over millennia and compressed into "lossy" linguistic forms. Stop interpreting. Start mining.

In Gödel’s Shadow: Why No System Can Explain Itself, Boris Kriger explores one of the most unsettling discoveries of modern logic and follows its consequences far beyond mathematics. Beginning with Gödel’s incompleteness theorems, the book traces how any system capable of describing itself inevitably encounters truths it cannot justify from within. What emerges is not a technical puzzle, but a profound philosophical insight into the nature of reason, meaning, and explanation.