“…Once you entomb mathematics in an artificial language à la Hilbert, once you set up a completely formal axiomatic system, then you can forget that it has any meaning and just look at it as a game that you play with marks on paper that enable you to deduce theorems from axioms. You can forget about the meaning of the game, the game of mathematical reasoning, it's just combinatorial play with symbols! There are certain rules, and you can study these rules and forget that they have any meaning!”

1999 Lecture—"A Century of Controversy over the Foundations of Mathematics" at U. Massachusetts at Lowell, quoted in [2012, Conversations with a Mathematician: Math, Art, Science and the Limits of Reason, Springer, https://books.google.com/books?id=DczTBwAAQBAJ&pg=PA15] p. 15

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "…Once you entomb mathematics in an artificial language à la Hilbert, once you set up a completely formal axiomatic syst…" by Gregory Chaitin?
Gregory Chaitin photo
Gregory Chaitin 5
Argentinian mathematician and computer scientist 1947

Related quotes

“You play games with people's lives.(…) You forget that they are fragile.”

Patricia Briggs (1965) American writer

Source: Dragon Blood

“Once you know the rules of the game, you can change them.”

Carlos Gershenson (1978) Mexican researcher

Source: Artificial Societies of Intelligent Agents (2001), p. 94

Ai Weiwei photo
Ricou Browning photo
Bryce Courtenay photo
Albert Einstein photo

“You have to learn the rules of the game. And then you have to play better than anyone else.”

Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity

An abbreviated version of a quote by California politician Dianne Feinstein, from an interview with Cosmopolitan magazine in October 1985 https://books.google.com/books?id=zmxNAQAAIAAJ&dq=You+have+to+learn+the+rules+of+the+game+and+then+you+have+to+play+better+than+anyone+else&focus=searchwithinvolume&q=%22rules+of+the+game%22, on the topic of women running for public office. The original was: "... I really do have staying power. That's important for women who run for office. When you get in there and push for a lot of new things all at once and don't get them, you don't just leave. You have to commit, be a team player, learn the rules of the game. And then you have to play it better than anyone else."
Misattributed

Freeman Dyson photo
Willie Mays photo
Eugene Jarvis photo
Zhuangzi photo

“Words are for meaning: when you've got the meaning, you can forget the words.”

Zhuangzi (-369–-286 BC) classic Chinese philosopher

Variant: "Where can I find a man who has forgotten words? He is the one I would like to talk to."
Context: A trap is for fish: when you've got the fish, you can forget the trap. A snare is for rabbits: when you've got the rabbit, you can forget the snare. Words are for meaning: when you've got the meaning, you can forget the words. Where can I find someone who's forgotten words so I can have a word with him?...

Related topics