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Russell's Paradox
Bertrand Russell discovered a contradiction while working on the Principles of Mathematics, now known as Russell's Paradox or the Barber's Paradox. The paradox stems from whether some classes are members of their class or not. Sets, Classes, and Russell's Paradox -
The Principles of Mathematics
Bertrand Russell believed that at the core of mathematics was logic and simple axioms that could express all of it without the need for mathematical notations. He covered this philosophical point in his book, The Principles of Mathematics. This view in philosophy would later become known simply as Logicism. -
Principia Mathematica
A three part work created by Alfred North Whitefield and Bertrand Russell, Principia Mathematica's first volume was published in 1910. Meant to be a continuation of his work in the Principles of Mathematics, this book covered subjects that he believed "...had been left obscure and doubtful in the former work..." -
The Problems of Philosophy
Russell published The Problems of Philosophy where Bertrand discussed ideas of indirect knowledge and intuitive knowledge and the fundamental ways in which we derive truths.