Socrates' Demonstration With The Slave Boy
Socrates' demonstration with the slave boy, is an effort to use mathematical reasoning to illustrate the process and the importance of keeping an active mind. Simultaneously he is using mathematical reasoning to illustrate how a similar process of reasoning is used in virtually every decision that we make. When Socrates asks the slave boy to find the length of a side of the square with the area of 8, he finds that the answer can neither be 2, nor 3. The manner in which Socrates poses this question, is an attempt to demonstrate the human reasoning process. This process can be characterized by finding a low extreme, finding a high extreme, and coming to understand that the answer to your problem lies somewhere in the middle. The difficulty, which Socrates is clarifying in this situation, is that the extremes are easy to recognize and understand (just as whole numbers such as 2 and 3 are), and humans are prone to being satisfied with that which is easily recognizable. The concise......
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