Mind Matters News and Analysis on Natural and Artificial Intelligence

Tagcalculus

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Mathematics Gives Us Life Skills and Mental Tools

Unfortunately, some professors, like the one who attacked my recent article, seem to prefer pedantry
What makes you an expert today is not your clarity of thought but rather your ability to conform your thoughts entirely to the constraints of your profession’s vocabulary. Read More ›
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Doing the Impossible: A Step-by-Step Guide

Often, in life as in calculus, when our implicit assumptions as to why something can’t be done are made explicit, they can be disproven
Calculus textbooks are the most dry and boring presentations of mathematics I have ever seen, even though calculus offers some of the most amazing insights. Unfortunately, most mathematics texts teach only the mathematics, never the insights. Read More ›
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A pen on top of several math equations

Walter Bradley Center Fellow Discovers Longstanding Flaw in an Aspect of Elementary Calculus

The flaw doesn't lead directly to wrong answers but it does create confusion.

The lead author, Jonathan Bartlett, noted that the likely source of the bad notation was a philosophical issue. Because no one wanted to give differentials that same ontological status as other numbers, everyone presumed that the notational problems were simply the result of this fact, and no one pursued it further.

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