Principia Mathematica  

From The Art and Popular Culture Encyclopedia

Jump to: navigation, search

Related e

Google
Wikipedia
Wiktionary
Wiki Commons
Wikiquote
Wikisource
YouTube
Shop


Featured:
Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.
Enlarge
Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.

The Principia Mathematica is a three-volume work on the foundations of mathematics, written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913. In 1927 it appeared in a second edition with an important Introduction To the Second Edition, an Appendix A that replaced *9 and an all-new Appendix C.

PM, as it is often abbreviated (not to be confused with Russell's 1903 Principles of Mathematics), is an attempt to derive all mathematical truths from a well-defined set of axioms and inference rules in symbolic logic. One of the main inspirations and motivations for PM was Frege's earlier work on logic, which had led to paradoxes discovered by Russell. These were avoided in PM by building an elaborate system of types: a set of elements is of a different type than is each of its elements (set is not the element; one element is not the set) and one cannot speak of the "set of all sets" and similar constructs, which lead to paradoxes (see Russell's paradox).

PM is widely considered by specialists in the subject to be one of the most important and seminal works in mathematical logic and philosophy since Aristotle's Organon.



Unless indicated otherwise, the text in this article is either based on Wikipedia article "Principia Mathematica" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on original research by Jahsonic and friends. See Art and Popular Culture's copyright notice.

Personal tools