FactChecker's latest activity
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FactChecker replied to the thread Undergrad Understanding permutations and combinations in a coin toss experiment.In a two-toss experiment, if (H, T) is considered different from (T, H), you are counting permutations. If they are considered the same... -
FactChecker reacted to berkeman's post in the thread Alien life, probabilities, and interstellar propagation of human life with
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Where do you get that from? It's more like life arose in many places on Earth at the same time after enough time had passed for several... -
FactChecker reacted to pinball1970's post in the thread Alien life, probabilities, and interstellar propagation of human life with
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That is not entirely correct. We do not know how life on earth began specifically but there a few ways that this could have got going... -
FactChecker reacted to PeroK's post in the thread Undergrad My basic understanding of set theory with
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The basics are important. Things in mathematics are what they are defined to be. There is no single concept of "infinity" in... -
FactChecker replied to the thread Undergrad My basic understanding of set theory.Then you MUST study what Cantor did. You will find it beautifully logical. The set of Natural Numbers are countably infinite and any set... -
FactChecker replied to the thread Undergrad My basic understanding of set theory.IMO, this discussion should focus on the OP, which specified the counting size of sets. Otherwise, it can become very unfocused. -
FactChecker replied to the thread Reliability of a system.The problem statement specifies that all failures are independent. All links on that path are up. It indicates nothing about the ADB... -
FactChecker replied to the thread Undergrad Find the Number of Triangles.One take-away from this is how rapidly a simple problem can become unmanageable. Combinatorial problems grow exponentially and the... -
FactChecker replied to the thread Undergrad Find the Number of Triangles.I see. The solutions that depend on counting combinations of 3 lines don't work. That and the need for symmetry is key to most of the... -
FactChecker replied to the thread Undergrad Find the Number of Triangles.It certainly complicates symmetry arguments. Maybe I misunderstand your first statement. I don't see that it invalidates anything about... -
FactChecker replied to the thread Undergrad My basic understanding of set theory.On the subject of set sizes, it would benefit you to read about what Cantor did and how he approached the subject. IMHO, it has been...