Thursday, August 23, 2018

Frank Ramsey and the philosophy of logic


Photo source: Wikimedia Commons, Volsav
Photo license: CC BY-SA 4.0

Frank Ramsey (1903-1930) was a British mathematician and economist best known for his contributions to logic and decision theory. He also known for translating Ludwig Wittgenstein's Tractatus Logico-Philosophicus into English. Philosopher G. E. Moore said,
"He was an extraordinarily clear thinker: no-one could avoid more easily... the sort of confusions of thought to which even the best philosophers are liable, and he was capable of apprehending clearly... the subtlest distinctions. He had... an exceptional power of drawing conclusions from a complicated set of facts. (Preface to The Foundations of Mathematics and Other Logical Essays by Frank Ramsey, 1931)
This post is a some quotes from Ramsey.

Logic


"It is worth pausing for a moment to consider how far our conclusions are affected by considerations which our simplifying assumptions have forced us to neglect." (A Mathematical Theory of Saving, 1928)

"Logic issues in tautologies, mathematics in identities, philosophy in definitions; all trivial, but all part of the vital work of clarifying and organizing thought." (The Foundations of Mathematics and Other Logical Essays, 1931 posthumous)

"The chief danger to our philosophy, apart from laziness and woolliness is scholasticism, the essence of which is treating what is vague as if it were precise and trying to fit it into an exact logical category." (Goodreads.com)

"...I hold that mathematics is part of logic, and so belong to what may be called the logical school as opposed to the formalist and intuitionist schools." (The Foundations of Mathematics, 1925)