How to Use Logical Reasoning in Problem Solving

Logical reasoning uses statements and inferences that can be made from those statements to find the truth. Basically, an inference must be the only thing that can follow from a statement. For example, the statement "my shirt isn't white" and the inference "my shirt is red" do not follow because my shirt could be any color. Logical reasoning is most useful in two of the steps in problem solving.

Instructions

    • 1

      Define the problem at its most basic --- this is a crucial step. Logical reasoning in this step requires that the main description of the problem should not be taken from one of the possible steps to solve the problem. Suppose you want to get $50 to your cousin in New York City by tomorrow. The basic idea is to increase the wealth of your cousin by $50 by tomorrow. It is easy to fall into the error of defining the problem (for example, defining the problem as one way to get a plane ticket, so you could hand-carry the money) by jumping past the basic definition to a definition of a possible solution. Do not confuse the definition of the problem with the problem solution.

    • 2

      Do research, make a list, explore with others and come up with as good list that itemizes all the ways to solve the problem. This is the second area where logical reasoning is required. Logical reasoning requires you to link each alternative to the main problem by strong reasoning. Use the logical structure "If..., Then ...." This logical structure can work: "If I fly to New York and find my friend, then I can give him the money." There is a strong link from the "if" idea to the "then" idea. "If I fly over New York in a plane and throw the money out the window, it will hit my friend and he'll have the money" does not work because there is no strong link between throwing the money and your friend's catching it.

    • 3

      Organize the list according to the workability of each alternative, paying special attention to the accuracy of the logical reasoning.

    • 4

      Test the feasibility of each alternative before embarking on the solution. Make sure there is a way to electronically transfer money to your cousin or see if your friend still lives in New York and is available.

    • 5

      Carry out the solution and test the results.

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