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posted by Fnord666 on Sunday June 11 2023, @02:01PM   Printer-friendly
from the how-to-learn-mathematical-thinking dept.

Technology Review is running an unusual book review -- books about learning math, pure math, not applied math, https://www.technologyreview.com/2023/04/24/1071371/book-reviews-math-education/
The author admits to being adrift,

As a graduate student in physics, I have seen the work that goes into conducting delicate experiments, but the daily grind of mathematical discovery is a ritual altogether foreign to me. And this feeling is only reinforced by popular books on math, which often take the tone of a pastor dispensing sermons to the faithful.

An initial attempt led to a MasterClass by a "living legend of contemporary math", but the master is seated in a white armchair with no blackboards, pens or paper and does not enlighten.

A side story covers a writer for the New Yorker who plans a year to go back and learn the high school algebra/geometry/calculus that escaped him, but mostly fails. For backup he has a niece who is a math professor...but after months without getting it, he complains. Her answer?

"For a moment, think of it as a monastic discipline. You have to take on faith what I tell you." Where his niece and others see patterns and order, he perceives only "incoherence, obfuscation, and chaos"; he feels like a monk who sees lesser angels than everybody around him.

I won't spoil the end, but the author does make some progress with books by mathematician and concert pianist Eugenia Cheng, starting with "Cakes, Custard and Category Theory", where each chapter starts with an analogy to baking.

Unfortunately, for the SN audience, the article does not include any car analogies...


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  • (Score: 0) by Anonymous Coward on Sunday June 11 2023, @04:07PM (1 child)

    by Anonymous Coward on Sunday June 11 2023, @04:07PM (#1311003)

    The hypergraph sounds like tags in Gmail -- some posts are archived as is, others have one or more tags added to them before archiving. Tags can be any short string. Search includes, "All posts with this tag."

    For comparison, how about a car analogy to category theory?

  • (Score: 2) by Mojibake Tengu on Sunday June 11 2023, @04:23PM

    by Mojibake Tengu (8598) on Sunday June 11 2023, @04:23PM (#1311005) Journal

    In category theory, you just have a category of cars. That's all...

    --
    The kinder you are, the easier it is for wicked people to morally coerce you.