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tcdent 4 hours ago

Isn't the whole point of the field of mathematics in a theoretical sense the pursuit of formal solutions?

So, why would they be advocating for limitations on arriving at solutions?

bryan0 3 hours ago | parent | next [-]

It's more nuanced than this. Peter Scholze said in response to this declaration:

> The goal of mathematical research is human understanding of mathematics, and so mathematics can only thrive in a community of human mathematicians. It is crucial to preserve this communal spirit. [0]

Terence Tao has also talked about the requirement for a mathematical proof: along with generation and formal verification, there is an important step of "proof digestion"

> understanding the essence of a solution, placing it in context with previous literature, summarizing and explaining it effectively, and gaining insights on other related problems and topics [1]

[0]: https://siliconreckoner.substack.com/p/the-leiden-declaratio...

[1]: https://mathstodon.xyz/@tao/116450581967483825

tcdent 3 hours ago | parent | next [-]

Solve it and understand it; seems intuitive to me.

I don't understand how that contradicts my question.

casey2 2 hours ago | parent | prev [-]

And the goal of computer mathematics research is computer understanding of mathematics. I fail to see a reason provided as to why society should defund automated reasoning just so mathematicians can put off burger flipping for another year.

x86cherry 3 hours ago | parent | prev [-]

You will find your answer in the article