Does Etymology assist learning mathematical terms?

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Does Etymology assist learning mathematical terms?

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StackExchange
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Does Etymology assist learning mathematical terms?

Post by StackExchange »

Please, can more people answer this question, with just one answer? Gerald Elgar's answer is too snippy.

Steven Schwartzman would answer yes. See The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English, page 1.
I started asking my trivial and seemingly irrelevant question because I noticed that most students are not good at using mathematical terminology. Many of them haven’t realized that technical terms aren’t just arbitrary syllables designed to make their lives more difficult. The point I try to make with
my White House analogy is that most mathematical terms actually describe the things they refer to. The difficulty is that the descriptions are usually in Latin or Greek rather than English, and few students nowadays have been exposed to those ancient languages.

The study of the origins of words is known as etymology: this book is an etymological guide to the most common mathematical terms that occur in the elementary, secondary, and college curricula. Armed with this guide, students may find mathematics a little more understandable. Their nontechnical English vocabulary should also improve because the same roots found in technical terms occur in many other words as well, some of which will be pointed out in this book. At a time when many students’ English skills are very weak, it is important to stress English even in classes like mathematics and science that no longer focus on language as much as they once did.
wtf
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Re: Does Etymology assist learning mathematical terms?

Post by wtf »

StackExchange wrote: Mon May 20, 2024 8:10 pm Please, can more people answer
Does entomology assist computer scientists in finding bugs?
godelian
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Re: Does Etymology assist learning mathematical terms?

Post by godelian »

No, because it will divert the attention to something that does not matter.

The "meaning" of a mathematical term is exclusively defined by its structural relationship to other terms.
https://en.wikipedia.org/wiki/Structura ... thematics)

Structuralism is a theory in the philosophy of mathematics that holds that mathematical theories describe structures of mathematical objects. Mathematical objects are exhaustively defined by their place in such structures. Consequently, structuralism maintains that mathematical objects do not possess any intrinsic properties but are defined by their external relations in a system. For instance, structuralism holds that the number 1 is exhaustively defined by being the successor of 0 in the structure of the theory of natural numbers.
For example, a "triangle" is not and should not be defined by the intrinsic meaning of the term or by its etymological origin. In fact, "triangle" is merely an arbitrary interchangeable symbol for any of its many alternative definitions, such as:

(p[1],p[2],p[3]) with p[k]=(x[k],y[k])

meaning that most -- but not all -- 3-tuples of 2-dimensional cartesian coordinates -- which are themselves 2-tuples -- will legitimately constitute a triangle. In this case, we approach the notion through second-order arithmetic (instead of Euclidean geometry) which allows for a non-visual and purely symbolic definition. Most structured sequences of six numbers ((x[1],y[1]),(x[2],y[2]),(x[3],y[3])) -- unless the sequence is degenerate -- represent a triangle. The notion of "triangle" is not related to its original etymology, which in fact, does not matter and may even be misleading. Instead, it is an otherwise meaningless label for a particular structure.
alan1000
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Re: Does Etymology assist learning mathematical terms?

Post by alan1000 »

Does entomology assist computer scientists in finding bugs?

Not since the 1940's, I think!
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