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Nikolay I. Kazimirov

<p><strong>Nikolay I. Kazimirov</strong> holds a PhD in Physics and Mathematics, awarded in 2003 by the Institute of Applied Mathematical Research of the Russian Academy of Sciences (Karelian Research Centre, Petrozavodsk). His research background provides him with the necessary rigor and deep understanding of the formal structures that underpin both mathematics and physical sciences. This book is the culmination of years of work developing a unique pedagogical system for teaching the formal language of science. The author's approach is born from a deep conviction that the perceived difficulty of mathematics stems not from its concepts, but from the lack of a systematic guide to its language. The manuscript itself stands as the primary testament to the author's expertise and passionate commitment to making the architecture of mathematical thought accessible to a broader audience. As an independent researcher, Dr. Kazimirov brings a fresh and focused perspective to the subject, free from the constraints of traditional curricula.</p>
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Mathematics as a Foreign Language

von Nikolay I. Kazimirov

Preface.- List of Key Theorems.- I The Ascent.- Survival.- The Threshold of logic.- Formal Logic.- The Foundations of Mathematics.- A mathematician's paradise.- II Proof-Theoretical Basis.- Language.- Logic.- Arithmetic.- Set Theory.- Answers to exercises.- References.- List of Notations.- Index.
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08.09.2026
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Cover: Mathematics as a Foreign Language (E-Book) von Nikolay I. Kazimirov