This text explores the fascinating world of container logic puzzles, a genre inspired by Lewis Carroll's classic riddle. It delves into the problem-solving process, emphasizing the power of hypothetical scenarios and deductive reasoning.
They involve setting up hypothetical scenarios from which one and only one conclusion can be drawn. The following puzzle devised by Lewis Carroll is a classic one in puzzledom: A bag contains one counter, known to be either white or black. A white counter is put in, the bag shaken, and a counter drawn out, which proves to be white.
What is now the chance of drawing a white counter? Let B and W-1 stand respectively for the black or white counter that might be in the bag at the start, and W-2 for the white counter added to the bag. Drawing a white counter from the bag entails three equally likely scenarios: The counter drawn out was the one that was put in, namely W-2, leaving W-1 that may have been inside. The counter drawn out was, again, the one that was put in, namely W-2, leaving B that may have been inside this time. In two of the three hypothetical scenarios, Carroll observed, a white counter remains in the bag. So, the chance of drawing a white counter on the second draw is two out of three. Carroll’s puzzle was the likely inspiration for a genre called “container logic” puzzles, which require us to figure out what is in a container or how to draw something from a container according to some requirement. Solving such puzzles entails setting up hypothetical scenarios from which one and only one conclusion can be drawn. Three types of container puzzles are provided here. In my view, they are exemplary of how our minds are capable of thinking in this particular hypothetical way, with no training in formal logic. As Ludwig Wittgenstein once aptly put it: “Logic takes care of itself; all we have to do is to look and see how it does it.” 1. A precious gemstone is inside one of the three locked jewelry boxes, each with a label that is false. Can you figure out in which box the gemstone is? 2. An ancient relic is inside one of three locked chests, each one bearing an inscriptio
LOGICPUZZLES DEDUCTIVEREASONING HYPOTHETICAL SCENARIOS PROBLEM SOLVING CONTAINER LOGIC
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