Zero in Four Dimensions: Cultural, Historical, Mathematical, and Psychological Perspectives
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|Prof. Hossein Arsham; University of Baltimore|
|A critical panoramic view of basic mathematical fallacies surrounding zero, such as dividing by zero, taking the limit, IEEE special floating point, the notion of zero throughout history, when zero is "not there," the origin of infinity and its symbol, taking the square root of both sides of an equality, manipulation on divergent series, taking conventions for proofs, taking the derivative with respect to a discrete variable, misplacement of the sign (square root), confusion between a number and an operation, and "errant views." With notes, further readings, and references.|
|Levels:||High School (9-12), College|
|Math Topics:||Number Sense/About Numbers, History and Biography, Logic/Foundations|
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