Recent content by phyti
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Why Are You Still Here? A Curious Question
I'm not here as of now. Any forum with such extensive censorship won't last. Truth will be the last thing remaining after all other things are removed. Truth needs no defense.- phyti
- Post #26
- Forum: Feedback and Announcements
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Undergrad Please Explain (actually explain) The Monty Hall Problem
The probability is not independent of the environment, and must be recalculated for a change in the environment. If adding doors decreases the probability then subtracting doors should increase the probability. Where is your consistency? Begin with 5 doors, and the car behind door 1. Left...- phyti
- Post #107
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Please Explain (actually explain) The Monty Hall Problem
If there were 100 doors, each would not contain .01 car. The reality would be1 door containing a car and 99 doors containing goats. As the host opens 98 goat doors, the contents of the remaining doors does not change. That would be an illusionist trick you might see in Las Vegas. If the player...- phyti
- Post #98
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Please Explain (actually explain) The Monty Hall Problem
The host must know the car location to comply with the rules: 1. Host cannot open a player door choice until after player last choice. 2. Host cannot open a car door until after player last choice. The game rules prevent the host from accidently revealing the car location, ending the game, and...- phyti
- Post #91
- Forum: Set Theory, Logic, Probability, Statistics
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High School Any plausible explanation for dynamical length contraction?
A measurable change in dimension in the direction of motion vs. an apparent visual image change. Here is another example specific to the MMX.- phyti
- Post #80
- Forum: Special and General Relativity
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High School Any plausible explanation for dynamical length contraction?
alexandrinushka; A metal rod can be measured, heated, and measured again, revealing a change in dimension, all occurring in a single ref. frame. Materials can be transformed via various processes, thus there are no 'rigid' objects. Changes in dimension and composition are a common part of...- phyti
- Post #69
- Forum: Special and General Relativity
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
jbriggs; Things were looking good up to the red statement. Always searching for simplicity, here is another graphic. The sequences remain defined as before and 12 are randomly selected and identified with a line number. Make a copy of a randomly selected sequence from the sample, say 9, and...- phyti
- Post #124
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
forum; Thanks for the Q&A session. It was valuable constructive criticism. As the author, you can't know if the reader interprets the contents as intended. Feedback is needed to correct errors, clarify, simplify, add detail, etc. In Cantor's diagonal argument, the difference in interpretation...- phyti
- Post #118
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
forum; part 3 comments to me: "One sense in which it is inequivalent is that a completed infinite binary tree has no second row." This is an abstract 'tree' showing connectivity of its elements according to some form of order. It has no leaves and bears no fruit. L begins in position 0 with...- phyti
- Post #117
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
forum; part 2 translation of Cantor's diagonal argument: From the proposition proved in § 2 there follows another, that e.g. the totality (Gesamtheit) of all real numbers of an arbitrary interval (a ... b) cannot be arranged in the series w1 w2, …, wv, … However, there is a proof of this...- phyti
- Post #116
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
forum; part 1 The set N of natural (counting) numbers enables an ordering by size (cardinality) of finite sets. Cantor's concept is a set of transfinite numbers that enable a similar ordering by size of infinite sets. He sees this as an extension of the number system, and considers a...- phyti
- Post #115
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
BWV; p and d are from the pdf example. The graphic shows how p, the sequence formed from the diagonal d is actually an element of L, yet goes undetected. Sequence d is a simple alternating symbol beginning with 0. The complement p is therefore an alternating symbol beginning with 1. The...- phyti
- Post #105
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
If the sequences are not ordered by any specified pattern, then they are random. Cantor, nor anyone else can show you a complete infinite list. It's an abstraction that cannot be made manifest for viewing. The ellipsis (...) is supposed to inform you that the data extends without limit.- phyti
- Post #104
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
The citation is for people who may not be familiar with the subject. A second source is http://uk.geocities.com/frege@btinternet.com/index.htm Copyright © E.D.Buckner 2005, a translation of Cantor's 1891 paper. Here is a counter example showing probability doesn't constitute a proof...- phyti
- Post #100
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad Are Some Real Numbers Countable and Others Uncountable?
forum;, By persevering on and off for some years, we can now slay the 'diagonal dragon'.- phyti
- Post #96
- Forum: Set Theory, Logic, Probability, Statistics