Complete list of mathematical notations

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Discussion Overview

The discussion revolves around the existence of a complete list of mathematical notations. Participants explore the implications of completeness in mathematical notation, referencing various resources and philosophical perspectives on the evolution of mathematical symbols.

Discussion Character

  • Exploratory
  • Philosophical
  • Debate/contested

Main Points Raised

  • Some participants assert that no complete list of mathematical notations can exist due to the ongoing development of mathematics and the invention of new notations.
  • Others reference specific resources, such as Wikipedia and LaTeX symbol lists, as useful starting points for finding mathematical notations.
  • A philosophical perspective is presented, suggesting that the dynamic nature of mathematics means that notations are continually evolving, with examples like Category theory illustrating this point.
  • One participant emphasizes that while notations may exist for certain branches of mathematics, there may always be better alternatives yet to be discovered.

Areas of Agreement / Disagreement

Participants generally agree that a complete list of mathematical notations is unattainable, but there are multiple competing views regarding the implications of this and the resources available for finding notations.

Contextual Notes

Limitations include the dependence on the evolving nature of mathematical research and notation, as well as the subjective nature of what constitutes the "best" notation.

mather
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hello!

is there a complete list of mathematical notations?

thanks!
 
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mather said:
hello!

is there a complete list of mathematical notations?

thanks!

Lame joke response

- No, by a diagonal argument no list of notations can be complete.

- Yes, but only if the list is inconsistent.

Straightforward response

Wiki's got a decent list.

http://en.wikipedia.org/wiki/List_of_mathematical_symbols

You can google "math LaTeX" to get many lists of math symbols, like this one:

http://www.artofproblemsolving.com/Wiki/index.php/LaTeX:Symbols

Snarky response

Why, is your Google broken?

Philosophical response

No list of mathematical notations can ever be complete as long as math continues to be active research subject. Mathematicians are always inventing new notations to express new ideas or new viewpoints on old ideas. As one striking example, the idea of expressing mathematics using two-dimensional arrow diagrams, aka Category theory, came into existence in the 1940s. You don't see it much as an undergrad, but in higher math it's everywhere. And in just the past twenty years it's started showing up in Computer Science and physics.
 
Last edited by a moderator:
SteveL27 said:
Lame joke response

- No, by a diagonal argument no list of notations can be complete.

- Yes, but only if the list is inconsistent.

Straightforward response

Wiki's got a decent list.

http://en.wikipedia.org/wiki/List_of_mathematical_symbols

You can google "math LaTeX" to get many lists of math symbols, like this one:

http://www.artofproblemsolving.com/Wiki/index.php/LaTeX:Symbols

Snarky response

Why, is your Google broken?

Philosophical response

No list of mathematical notations can ever be complete as long as math continues to be active research subject. Mathematicians are always inventing new notations to express new ideas or new viewpoints on old ideas. As one striking example, the idea of expressing mathematics using two-dimensional arrow diagrams, aka Category theory, came into existence in the 1940s. You don't see it much as an undergrad, but in higher math it's everywhere. And in just the past twenty years it's started showing up in Computer Science and physics.

This looks to me like a compete list of responses to questions asking for complete lists of mathematical notation.:-p
 
Last edited by a moderator:
Mark44 said:
This looks to me like a compete list of responses to questions asking for complete lists of mathematical notation.:-p



I would just add one thing.

Part of math is being inventive. There certainly are examples in the history of math where a change in notation helped move along the subject.

Even if a notation exists for a particular branch of mathematics, there may yet still be a better one waiting to be explored. Hence there really is no definitive THIS IS THE CORRECT NOTATION.

We simply use the best notation we have invented thus far.
 

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