query: The infinite hat guessing problem and the axiom of choice, is it necessary?
positive_passages.docid: 78148
positive_passages.text: Why does the infinite prisoners and hats puzzle require the axiom of choice?
negative_passages.docid: 150440
negative_passages.text: Hint-only / Mostly hint answers: desirable or not?
negative_passages.docid: 46580
negative_passages.text: Variation on the Monty Hall Problem
negative_passages.docid: 64511
negative_passages.text: A weighted version of random.choice
negative_passages.docid: 82174
negative_passages.text: Understanding "randomness"
negative_passages.docid: 41539
negative_passages.text: "Heads or Tails?" guessing game in Python
negative_passages.docid: 44620
negative_passages.text: Reference for combinatorial game theory.
negative_passages.docid: 111297
negative_passages.text: Question on the 'Hat check' problem
negative_passages.docid: 5313
negative_passages.text: Existence of how many sets is asserted by the axiom of choice in this case?
negative_passages.docid: 146202
negative_passages.text: Preempting inadequate answers and the ‘XY problem problem’
negative_passages.docid: 108321
negative_passages.text: On the problem $1$ of Putnam $2009$
negative_passages.docid: 41761
negative_passages.text: Determining the default Method used in optimization and root-finding algorithms
negative_passages.docid: 67892
negative_passages.text: Infinum & Supremum: An Analysis on Relatedness
negative_passages.docid: 143573
negative_passages.text: Problem (1.8) A Path to Combinatorics Solution Verification.
negative_passages.docid: 53270
negative_passages.text: Intuition/Real-life Examples: Pairwise Independence vs (Mutual) Independence
negative_passages.docid: 157298
negative_passages.text: Bags with balls - Combinatorial Optimization of Probability problem
negative_passages.docid: 63454
negative_passages.text: Lewis Carroll's Pillow Problem via Bayes' Theorem