#40506
Mentioned in 1 episodes
The principles of mathematics
Book • 1903
In this 1903 book, Bertrand Russell presents his thesis that mathematics and logic are identical.
He argues that pure mathematics deals exclusively with concepts definable in terms of a small number of fundamental logical principles.
The book explores various concepts in mathematics, including the definition of cardinal numbers, the Peano-Dedekind axioms, and the theory of relations.
It also introduces Russell's famous paradox, which challenged the foundations of mathematics at the time.
The work is divided into seven parts, covering topics such as number, quantity, order, infinity, continuity, space, and matter and motion.
He argues that pure mathematics deals exclusively with concepts definable in terms of a small number of fundamental logical principles.
The book explores various concepts in mathematics, including the definition of cardinal numbers, the Peano-Dedekind axioms, and the theory of relations.
It also introduces Russell's famous paradox, which challenged the foundations of mathematics at the time.
The work is divided into seven parts, covering topics such as number, quantity, order, infinity, continuity, space, and matter and motion.
Mentioned by
Mentioned in 1 episodes
Mentioned by Miles Hollingworth in relation to Wittgenstein's critique of foundationalism in mathematics.
Wittgenstein as Mystic with Miles Hollingworth
