Publisher's Synopsis
The Principles of Mathematics Volume 1 is a seminal work by the renowned philosopher and logician Bertrand Russell. It was first published in 1903 and is widely regarded as one of the most important works in the field of mathematical philosophy. The book is divided into three parts, with the first part focusing on the theory of logic and the second and third parts dealing with the foundations of arithmetic and geometry respectively.In the first part, Russell presents his theory of logic, which he calls ""logical atomism"". This theory holds that the world is composed of a number of simple, indivisible entities or ""atoms"", and that these atoms can be combined in various ways to form more complex entities. Russell also introduces his famous theory of descriptions, which holds that definite descriptions such as ""the king of France"" do not refer to anything if there is no entity that satisfies the description.In the second part of the book, Russell sets out to establish the foundations of arithmetic. He argues that arithmetic can be reduced to logic, and that the basic concepts of arithmetic can be defined in terms of logical concepts. He also introduces his theory of types, which is a way of avoiding paradoxes that arise in certain logical systems.In the third part of the book, Russell turns his attention to geometry. He argues that geometry can also be reduced to logic, and that the basic concepts of geometry can be defined in terms of logical concepts. He also presents his theory of space and time, which holds that space and time are not absolute but are relative to the observer.Overall, The Principles of Mathematics Volume 1 is a highly influential work that has had a profound impact on the philosophy of mathematics and logic. It is essential reading for anyone interested in these fields.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
