A Concise History of Mathematics for Philosophers

ISBN-13: 9781108456234 / Angielski / Miękka / 2019 / 75 str.

John Stillwell

Opis

Presents the outline of mathematics and its history, with particular emphasis on events that shook up its philosophy.

Spis treści

Preface; 1. Irrational numbers and geometry; 2. Infinity in Greek mathematics; 3. Imaginary numbers; 4. Calculus and infinitesimals; 5. Continuous functions and real numbers; 6. From non-Euclidean geometry to arithmetic; 7. Set theory and its paradoxes; 8. Formal systems; 9. Unsolvability and incompleteness.