Today I present a different problem, which is far simpler than Problem #1 : When is Cheryl’s birthday, which I have solved over the past few days.
This problem I present today was used in research to help to understand whether students learners in stages, jumping from one stage of understanding to another, or whether the learning is more continuous with no discontinuous breaks.
Like Problem #1, this is also a logic problem, but logic is the essence of mathematics, and the more logical is your thinking the better will you be at mathematics. However, logic can be learned, like all of mathematics, and you can learn to become better at using logic.
The Problem Statement
There are three closed boxes: GOLD, SILVER, and LEAD.
There is a painting inside ONE of these boxes, and you have to work out which box it is in.
There are descriptions on each box:
GOLD: “The painting is in this box.”
SILVER: “The painting is not in this box.”
LEAD: “The painting is not in the GOLD box.”
You are told that two of these descriptions are FALSE, and only one is TRUE.
Do not guess at the answer.
There is one and only one solution, and using logic it is quite easy to solve.
HINT/1: How many alternatives are there in terms of which descriptions are TRUE and which are FALSE?
HINT/2: Can you eliminate some alternatives, by reading the descriptions and understanding how these affect which are TRUE and which are FALSE?
Tomorrow I will outline the solution to this problem.