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The essays in this little volume， published here for the first time in book form， were written by Bertrand Russell during the Second World War when he was less concerned with the stormy issues of nuclear warfare and the containment of communist aggression. In those years the author was teaching philosophy at American universities and exercising a growing influence on America’s student population. The essays assembled here are fundamentally concerned with “the art of reckoning” in the fields of mathematics， logic and philosophy. The simplicity of Russell’s exposition is astonishing， as is his ability to get to the core of the great philosophical issues and to skillfully probe the depth of philosophical analysis. Bertrand Arthur William Russell， 3rd Earl Russell was a British philosopher， logician， mathematician， historian， social reformer， and pacifist. Although he spent the majority of his life in England， he was born in Wales， where he also died. Russell led the British revolt against Idealism in the early 1900s and is considered one of the founders of analytic philosophy along with his protégé Wittgenstein and his elder Frege. He co-authored， with A. N. Whitehead， Principia Mathematica， an attempt to ground mathematics on logic. His philosophical essay On Denoting has been considered a paradigm of philosophy. Both works have had a considerable influence on logic， mathematics， set theory， linguistics and analytic philosophy. He was a prominent anti-war activist， championing free trade between nations and anti-imperialism. Russell was imprisoned for his pacifist activism during World War I， campaigned against Adolf Hitler， for nuclear disarmament， criticized Soviet totalitarianism and the United States of America‘s involvement in the Vietnam War. In 1950， Russell was awarded the Nobel Prize in Literature， in recognition of his varied and significant writings in which he champions humanitarian ideals and freedom of thought.