

“In the Bayesian framework, how much you believe something after you see the evidence depends not just on what the evidence shows, but on how much you believed it to begin with.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking

“We could, of course, use any notation we want; do not laugh at notations; invent them, they are powerful. In fact,mathematics is, to a large extent, invention of better notations.”
― The Feynman Lectures on Physics Vol 1
― The Feynman Lectures on Physics Vol 1

“Mathematicians can be persnickety about logical niceties. We're the kind of people who think it's funny, when asked, "Do you want soup or salad with that?" to reply, "Yes.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking

“In 1931, Kurt Godel proved in his famous second incompleteness theorem that there could be no finitary proof of the consistency of arithmetic. He had killed Hilbert's program with a single stroke.
So should you be worried that all of mathematics might collapse tomorrow afternoon? For what it's worth, I'm not. I do believe in infinite sets, and I find the proofs of consistency that use infinite sets to be convincing enough to let me sleep at night.”
― How Not to Be Wrong: The Power of Mathematical Thinking
So should you be worried that all of mathematics might collapse tomorrow afternoon? For what it's worth, I'm not. I do believe in infinite sets, and I find the proofs of consistency that use infinite sets to be convincing enough to let me sleep at night.”
― How Not to Be Wrong: The Power of Mathematical Thinking

“A scientist can hardly encounter anything more desirable than, just as a work is completed, to have its foundation give way.”
― How Not to Be Wrong: The Power of Mathematical Thinking
― How Not to Be Wrong: The Power of Mathematical Thinking
Jarek’s 2022 Year in Books
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