How did Russell become a mathematician and a philosopher at the same time?

Russell: "Mathematics is the class of all propositions of the form p containing q", and it is impossible to judge whether the first proposition p is true or not. So "mathematics is a subject that we never know what we're talking about or if we're right." ”

Mathematics is symbols plus logic.

English mathematician and philosopher Russell from Euclid.

The British mathematician and philosopher Russell "read the beauty of **" from Euclid's "Geometry", and the German biologist Haeckel "saw the unparalleled unity of the biological world" from Darwin's "The Origin of Species". Although most of the expositions of scientists on the beauty of science are scattered, it is not difficult to see that they affirm and attach importance to the beauty of science. In the eyes of these great scientists, scientific beauty is a reflection of the harmonious beauty of nature, and a sense of self-transcendence generated by people's discovery of the secrets of nature.

The Geometry of Regret is a mathematical work written by the ancient Greek mathematician Euclid, written around 300 BC. The Geometry Primitives consists of 13 volumes, of which: Volume 1 uses 23 definitions to put forward the original concepts of points, lines, planes, circles and parallel lines, proposes 5 axioms and 5 axioms, and further studies the conditions of triangle congruence, the magnitude relationship between the sides and corners of triangles, the theory of parallel lines, and the conditions of equal area of triangles and polygons.

Volume 2 deals with the equal-area problem of polygons; The first volume deals with the problem of circles and the inscribed and inscribed polygons of circles, respectively; Volume 5 details the theory of the proportions of quantities; Volume 6 is the theory of similar polygons; The first volume is number theory, with a total of 100 propositions; Volume 10 consists of 115 propositions, discussing the addition, subtraction, multiplication and opening operations of line segments, naming the obtained special line segments, and discussing the relationship between these special line segments. Volume 1 is mainly about solid geometry.

The Geometry Originals summarizes the geometric knowledge and research results of the predecessors, and uses axiomatic methods to establish the earliest example of the deductive mathematical system, marking the transformation of geometric knowledge from the scattered and fragmentary empirical form to a complete logical system, which has profoundly influenced the development of mathematics in later generations.

Russell wrote a lot of books in his lifetime, and his writing was beautiful, so many of his works were loved by people. Russell's reputation as a philosopher is due to his History of Western Philosophy. Russell's History of Western Philosophy is characterized by the inclusion of his own philosophical ideas in academic commentary, so although the book is a work on the history of philosophy, it is actually a work in which Russell takes the opportunity to expound his own philosophical views, which should be noted when reading The History of Western Philosophy.