Foundations of Mathematics

Focusing on developing a critical mindset in students, this book aims to provide a solid foundation rather than a comprehensive teaching of logic and axiomatization. Originating from lecture notes at ETH, it has been translated into English with great care by dedicated translators, ensuring clarity despite the complex mathematical symbolisms. The work addresses misconceptions held by students who, after extensive training, may feel they understand fundamental concepts like real numbers and Euclidean space, yet lack deeper insight.