What Question Ensures the Right Path and How Far Are Witt and Pitt?

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Discussion Overview

The discussion revolves around a logical puzzle involving a traveler who must determine the correct path to a village by asking a question to a native who may either tell the truth or lie. Additionally, there is a geometric problem related to distances between various points named Witt, Pitt, Kitt, Mitt, Sitt, and Bitt, with participants exploring the relationships and distances between these points.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant suggests the question: "Where would the other type send me?" as a way to determine the correct road to the village.
  • Another participant proposes the question: "If I asked you which was the road to the village, what would you tell me?" explaining that both a truth-teller and a liar would lead to the correct road through their respective responses.
  • Participants discuss the distances between points, with one stating that it is 10 miles each between certain points.
  • A later reply mentions a 3-4-5 right triangle in relation to the geometric problem.

Areas of Agreement / Disagreement

Participants present multiple approaches to the logical question, with no consensus on a single best question. The geometric distances also appear to be discussed without a clear agreement on the calculations or relationships among the points.

Contextual Notes

The discussion includes various assumptions about the nature of truth-tellers and liars, as well as the geometric relationships that may depend on specific interpretations of the distances and arrangements of the points mentioned.

vadlamudit
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1.A logician is traveling in a country where the inhabitants are of two
types. Members of one group always tell the truth, the others lie. The
traveler comes to the fork in a road and has to ask a native bystander
which branch he should take to reach the village. He has no way of telling
whether the native sitting beside the road is a truth-teller or a liar.
What one question can the traveller ask which will tell him which road to
take to the village.

2.It's as far from Witt to Pitt as from Kitt to Mitt
It's as far from Sitt to Bitt as from Ditt to Mitt
Mitt is on a straight line north from Sitt to Pitt
Mitt is on a straight road east from Witt to Bitt.
Kitt is 8 miles north of Witt and 8 miles west of Pitt
Ditt is 6 miles south of Bitt and 6 miles east of Sitt
How far is it from Witt to Sitt
How far is it from Pitt to Bitt
 
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1. "Where would the other type send me?"
2. 10 miles each.
 
Or:

1) "If I asked you which was the road to the village, what would you tell me?"

A "truth teller" would, of course, tell me the correct road to the village and would tell me that.

A "liar" would tell me the wrong road but he would have to lie about what he would tell me so either way, the answer is the correct road to the village.

2) 3-4-5 right triangle!
 
Originally posted by HallsofIvy
1) "If I asked you which was the road to the village, what would you tell me?"

, HallsofIvy!
 

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