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That's a fair point of view. It's Yuval Noah Harari definition, not mine (Sapiens book, 2nd chapter):

"Ants and bees can also work together in huge numbers, but they do so in a very rigid manner and only with close relatives. Wolves and chimpanzees cooperate far more flexibly than ants, but they can do so only with small numbers of other individuals that they know intimately. Sapiens can cooperate in extremely flexible ways with countless numbers of strangers. That’s why Sapiens rule the world, whereas ants eat our leftovers and chimps are locked up in zoos and research laboratories."

(...)

"You could never pack a thousand chimpanzees into Times Square, the United Nations, the Vatican or the New York Stock Exchange. You would get pandemonium. By contrast, thousands of Sapiens regularly congregate in such places, and they usually produce orderly networks and trade rather than violence and chaos."

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And the passage I recalled from memory is actually from a TED Talk ("Why humans run the world", 2015 - https://www.youtube.com/watch?v=nzj7Wg4DAbs&t=231s)

"If you try to crowd 100,000 chimpanzees into Wembley Stadium, or into Oxford Street, or into a church, or into a school, you will get complete chaos. But you can put 100,000 humans together in Wembley Stadium, and they will usually behave reasonably well, watch the match together and sing along."

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But I’m not giving up on your celebration of our curiosity.

Speaking of curiosity, I’d bring Peter Gray and his "Free to Learn" book into the conversation.

Take a look at the second of the five characteristics of play that Peter Gray proposes:

"Play is activity that, from the conscious perspective of the player, is done for its own sake more than for some reward outside of the activity itself. In other words, it is behavior in which means are more valued than ends.

When people are not playing, what they value most are the results of their actions. [...] When people are not playing, they typically opt for the least effortful way of achieving their goal.

In play, however, all this is reversed. In play, attention is focused on the means more than the ends, and players do not necessarily look for the easiest routes to achieving the ends. Play often has goals, but the goals are experienced as part and parcel of the activity, not as the primary reason for the activity. Goals in play are subordinate to the means for achieving them."

Using Gray’s definition, mathematicians might actually be mourning the loss of play — the process itself, the thinking, the exploring — rather than "just" reaching the final result (via ChatGPT).

Is this a valid way of looking at it through Peter Gray's lens?

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Cooperate to what end? If we succeed at obsoleting thinking, what would the collaboration be about?

(Also, I suspect if you take 100,000 humans, with no explanation, and force them against their will into Wembley stadium, you'll also get chaos.)

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I apologize that I've just updated my answer above bringing Peter Gray's play definition to help us deal with our innate curiosity.

I'll summarize here: If we succeed at obsoleting thinking, we loose the game, we stop playing, according to Peter Gray's definition.

So you - and the mourning mathematicians - are all correct: we loose the most important part of life, according to Gray's view (above).

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Yes. We are trying to build a fucking nightmare for humans. There's still a chance AI will plateau, but we're staking the future of our humanity on it with our current path.
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