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Tag: logical necessity

Performing Mathematical Operations on Nonsense

Performing Mathematical Operations on Nonsense

Let us define the number i as equal to the square root of -1.  So i cannot be positive or negative, but all real numbers are positive or negative—so i is imaginary.  I am pretty much the farthest thing from a mathematician, but i strikes me as being something that we think we have some understanding of, but we really don’t, similar to saying “There is either a red square-circle or there is not a red square-circle.” But the funny…

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Possibility and Nonsense

Possibility and Nonsense

Before talking about the nature of arguments in my Intro to Logic class, I start off talking about inferential relationships between statements more generally.  So I ask them to consider what else must be true , e.g., if “Todd is dead” is true and if “Bob loves Jill” is true. Two of the claims that people said followed from “Todd is dead” were: 1) There is at least one dead person. 2) There is a reason for Todd’s death. I…

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