A Omniscience principle and generic convergent sequence

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The discussion centers on seeking clarification of the first two equations from a specific article on the omniscience principle and generic convergent sequences. The participant expresses a solid understanding of the topic but desires live feedback to enhance their comprehension. There is an emphasis on the importance of these equations in understanding the broader concepts presented in the article. The request highlights the need for collaborative learning and peer support in complex mathematical discussions. Overall, the focus is on deepening understanding through interactive dialogue.
olliehaken
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I need advice on an article
There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...

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