Can a road be chosen with 100 certainty such that it will ta

Can a road be chosen (with 100% certainty) such that it will take you to your neighborhood Cold Stone Creamery?

You find yourself in a maze walking and you reach a 3-way intersection. The roads have signs as follows:

-on the left: “bad idea street”
-in front of you: “don’t even try it road”
-on the right: “you’re lost avenue”

On each one of the roads there is a street vendor. You talk to the street vendors and this is what they tell you (after you buy some of their goods of course):

-Street vendor on “bad idea street”: “This road will take you straight to Cold Stone Creamery. Also, if “you’re lost avenue” leads you to Cold Stone Creamery, then “don’t even try it road” will also take you to Cold Stone Creamery.”

-Street vendor on “don’t even try it road”: “Neither “bad idea street” nor “you’re lost avenue” takes you to Cold Stone Creamery.”

-Street vendor on “you’re lost avenue”: “Follow “bad idea street” and you’ll reach Cold Stone Creamery. Furthermore, follow “don’t even try it road” and you will never leave this maze (Muahaha).”

It is common knowledge that street vendors never tell the truth. Furthermore, you are dying for some ice-cream, after a whole day of being lost in the maze. Can a road be chosen (with 100% certainty) such that it will take you to your neighborhood Cold Stone Creamery? If it can be done, which road would you choose? Provide formal language and propositional logic facts that formalize the problem and prove (show steps) whether a road can be chose so that you can be sure it will lead you to Cold Stone Creamery (for some yummy ice-cream).

Solution

As per above discussions,\"don\'t even try it road\" leads to the cold stone creamery.

As per left street vendor, suppose we consider all the streets leads to cold stone creamery, the street vendor on\"you\'re lost avenue\" said neither \"bad idea street \" and \"you\'re lost avenue\" takes to cold stone creamery and as per the right side street vendor if he follows \"bad idea street\" he will reach the place but here in general none of the street vendors speaks truth so the right side street doesn,t gave any clear inforamtion about the \"don\'t even try it road\". so i choose the \"don\'t even try it road\".