If he does it was explained to him repeatedly through a TV with lots of pictures
whotookkarl
joined 1 year ago
Yeah I think the recentness of formalizing infinities into math with Newton's and Leibnez's calculus (infinite series, limits approaching infinity) in the 1600s and Cantor's sets (cardinality of infinite sets) in the late 1800s speaks to the difficulty of even conceptualizing the problems they introduce and the rigor needed to handle them
Yeah I think we're on the same page there, I was just pointing out a limitation of the thought experiment that draws attention to the fact that infinity only allows what's improbable possible and doesn't make the impossible possible. But yeah it doesn't undermine the idea that introducing infinities gives unintuitive results.
But they still would be limited to only what monkeys can actually do with typewriters given enough time or monkeys to do everything a monkey will do with a typewriter.
Infinity only allows anything that can happen to happen no matter how unlikely to happen, but it doesn't allow something that has 0% likelihood to happen like a monkey turning into a cup to happen. If there are any 0% probability events necessary for the task then it wouldn't happen regardless of the number of monkeys or given time.
Those are some of the conditions necessary for the probability calculation to result in a non zero chance of writing the works of Shakespeare. From the article:
Consider the probability of typing the word banana on a typewriter with 50 keys. Suppose that the keys are pressed independently and uniformly at random, meaning that each key has an equal chance of being pressed regardless of what keys had been pressed previously. The chance that the first letter typed is 'b' is 1/50, and the chance that the second letter typed is 'a' is also 1/50, and so on. Therefore, the probability of the first six letters spelling banana is:
(1/50) × (1/50) × (1/50) × (1/50) × (1/50) × (1/50) = (1/50)6 = 1/15,625,000,000.
The result is less than one in 15 billion, but not zero.
But if they weren't independent, say every time a monkey hits b their lack of fine motor skills causes them to also hit yhb all together, then even infinite monkeys with infinite time wouldn't be able to type banana. Or if after hitting b they keep hitting b and ignore all the other keys they would never type banana. Evenly distributed just makes sure they can hit every key, it can take some unevenness like you mentioned j and some other letters come up very rarely. But if they never hit a or e you're never going to get Hamlet.
And he also told Israelis in a visit to Israel and Syria in 2009 that expansion into the West Bank is preventing peace, and supported the 2015 Iran nuclear deal against AIPAC. I don't think his position is as clear as you've made it seem based on one debate quote.
TW: Well, I think first and foremost what we saw on October 7th was a horrific act of violence against the people of Israel. They have certainly, and the vice president said it, I've said it, have the right to defend themselves and the United States will always stand by that, but we can't allow what's happened in Gaza to happen. The Palestinian people have every right to life and liberty themselves. We need to continue, I think to put the leverage on to make sure we move towards a two state solution. I think we're at a critical point right now. We need the Netanyahu government to start moving in that direction. But I think those folks who are speaking out loudly in Michigan are speaking out for all the right reasons. It's a humanitarian crisis. It can't stand the way it is. And we need to find a way that people can live together in this and we’ve said it and continue to say it, getting a ceasefire with the return of the hostages and then moving towards a sustainable two state solution is the only way forward.
Korn shell scripts get all the subsidizes anyways
The defeater is each key needs to be statistically as likely as any other key to be pressed next, i.e. statistically independent events. For example after a monkey pressed S they are then just as likely to press K as W. If there is any reason they prefer a key or sequence you don't get a normal distribution and they probably will never create any of Shakespeare's works.
Tim Walz gets that you need to humiliate fascists engaging in bad faith and promote progressive policies to engage populist leftist support, hopefully the rest get the message for midterms
easy block for mass murder sympathizers
If Russia wanted to deescalate they would withdraw troops from Ukraine territory and make reparations for starting the war in the first place.
Cream of mushroom soup is top tier along with pumpkin/squash soup, dill pickle soup, lentil, and lemon rice.
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The world would be a better place if Stephen Miller never said or wrote another word. He's more hateful of the Constitution than anyone in the country. He's a white supremacist bigot who is scared of his own shadow, and when cornered by his idiocy in an interview the only thing he knows how to do is fake outrage to dodge.