The Name of the Game - Episode 2: Soixante-Trois
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Ircher He / Him / HisWhat A Grand Idea
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Ircher He / Him / HisWhat A Grand Idea
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Ircher He / Him / HisWhat A Grand IdeaHe / Him / His
- What A Grand Idea
- What A Grand Idea
- Posts: 15207
- Joined: November 9, 2015
- Pronoun: He / Him / His
- Location: CST/CDT
Let p be the statement that Lady Lambdadelta responds yes.
Let q be the statement that NotAJumbleOfNumbers will be told the name of the game by PM within five minutes of Lady Lambdadelta answering.
Let r be the statement that NotAJumbleOfNumbers will not be told the name of the game by PM within six to ten minutes of Lady Lambdadelta answering.
We can then represent NotAJumbleOfNumbers statement more formally as:
(p implies q) and ((not p) implies r)
p implies q is equivalent to not p or q so we can then translate this to
((not p) or q) and (p or r)
From this, we could create a truth table to determine all of the possible solutions based on how Lady Lambdadelta responds if we assume that Lady Lambdadelta responds truthfully:
Code: Select all
p q r ((¬p ∨ q) ∧ (p ∨ r)) F F F F F F T T F T F F F T T T T F F F T F T F T T F T T T T T
So if Lady Lambdadelta responds yes, then p is true. Therefore, q is true and either r is true or r is false.
If Lady Lambdadelta responds no, then p is false. Therefore, r is true and either q is true or q is false.
What this means is that if Lady Lambdadelta answers affirmative, then NotAJumbleOfNumbers will learn the naem of the game by PM within 5 minutes of Lady Lambdadelta answering. We don't know whether Lady Lambdadelta will not tell NotAJumbleOfNumbers the name of the game within six or ten minutes of Lady Lambdadelta answering. However, it is implicit that if NotAJumbleOfNumber learns the answer within five minutes, then they will also learn it within six to ten minutes of Lady Lambdadelta answering, so actually, both statements would be true in this case.
If Lady Lambdadelta does not answer affirmatively, then NotAJumbleOfNUmber will not learn the name of the game by PM within six to ten minutes of Lady Lambdadelta answering. We don't know whether Lady Lambdadelta will tell NotAJumbleOfNumbers the name of the game by PM within five minutes.
Disclaimer: I'm not a logician, so I might have made an error.-
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Ircher He / Him / HisWhat A Grand IdeaHe / Him / His
- What A Grand Idea
- What A Grand Idea
- Posts: 15207
- Joined: November 9, 2015
- Pronoun: He / Him / His
- Location: CST/CDT
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
-
-
Ircher He / Him / HisWhat A Grand Idea
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