If this is the way to superintelligence, it remains a bizarre one. “This is back to a million monkeys typing for a million years generating the works of Shakespeare,” Emily Bender told me. But OpenAI’s technology effectively crunches those years down to seconds. A company blog boasts that an o1 model scored better than most humans on a recent coding test that allowed participants to submit 50 possible solutions to each problem—but only when o1 was allowed 10,000 submissions instead. No human could come up with that many possibilities in a reasonable length of time, which is exactly the point. To OpenAI, unlimited time and resources are an advantage that its hardware-grounded models have over biology. Not even two weeks after the launch of the o1 preview, the start-up presented plans to build data centers that would each require the power generated by approximately five large nuclear reactors, enough for almost 3 million homes.
no. you don’t understand infinity, and you don’t understand probability.
if every keystroke is just as likely as any other keystroke, then each of them will be pressed an infinite number of times. that’s what just as likely means. that’s how random works.
if the monkey could press a for an eternity, then by definition it’s not as likely as any other keystroke. you’re again changing the parameters to a monkey whose probability of pressing a is 1 and every other key is 0. that’s what you’re saying means.
for a monkey that presses the keys randomly, which means the probability of each key is equal, every string of characters will be typed. you can find the letter a typed a million times consecutively, and a billion times and a quadrillion times. not only will you find any number of consecutive keystrokes of every letter, but you will find it repeated an infinite number of times throughout.
being infinite does guarantee every possible outcome. what you’re ruling out from infinity is literally impossible by definition.