The Principles of Mathematics (Classic Reprint) - Softcover

Inhaltsangabe

Explore the foundations of mathematics and logic in this concise, landmark study. The Principles of Mathematics, Vol. 1 offers a clear introduction to Bertrand Russell’s rigorous approach to logic, numbers, space, motion, and the nature of mathematical reasoning. It frames how pure mathematics uses abstract concepts to model ideas independent of physical objects.

The book is written for both philosophers and mathematicians, and it sketches the connections between symbolic logic and mathematical theory. It discusses how definitions, predicates, and logical constants underlie much of mathematics, and it surveys topics such as real numbers, complete and incomplete series, and the correlation of infinite classes. The author also outlines the role of dynamics, geometry, and the philosophy of space, with emphasis on careful analysis rather than empirical details.

What you’ll experience
- An overview of the logical foundations that support arithmetic, geometry, and analysis
- Concepts like complete vs. incomplete series and how functions relate infinite classes
- A discussion of real numbers as a way to understand number through rational classes
- The relationship between philosophy and mathematics, and guidance for readers new to symbolic logic

Ideal for readers of philosophy and mathematics who want a rigorous, practitioner-friendly view of foundational ideas and their implications.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.