So, can mathematics really be racist?

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In summary, the conversation discusses the idea of anti-racist mathematics and whether or not mathematics can be considered racist. Some argue that there is evidence to support ancient civilizations having advanced mathematical knowledge, while others believe that the history of mathematics is biased and that there is an overuse of the word "racist." The conversation also touches on the issue of bringing social politics into the teaching of mathematics and the idea that teaching multi-culturalism is preferable to teaching math and science. Some also mention the controversial statements made by Luce Irigaray and others about the possible sexism and racism in science and mathematics. Overall, the conversation concludes that the concept of anti-racist mathematics is nonsensical and likely comes from those with a limited understanding of mathematics
  • #36
muppet said:
The quote about the principia being a "rape manual" I've heard attributed to Sandra Harding, the author of one of the references in the wiki article on anti-racist mathematics. Not sure why, radical feminism seems to be her thing.

Still, teaching theorems by famous female mathematicians would be one way to improve A-level standards- Noether's theorem, anybody? :biggrin:

To be fair, it seems there might have been some context for the statement that would make it seem less ridiculous.
 
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  • #37
Galteeth said:
To be fair, it seems there might have been some context for the statement that would make it seem less ridiculous.

That would be some powerful context. I mean I can't even play devils advocate. I'm going to try to find wherever she wrote this, just to see.
 
  • #38
<rant>Except in recent times, nearly all of mankind's great achievements--its inventions, its science, its politics, its art and literature--were made in Europe. If other people did anything significant, it didn't send shock waves around the world in the same way that Euclid or Newton did. Denying this by emphasizing the "achievements" of female, black, Native, Indian, or chimpanzee intellectuals isn't lying; it's worse than lying. It's no different from the selective use of facts that white supremacists exploit in proving their point. (If anti-racist math gets implemented, though, the white supremacists may have a valid point.)

Why did Europe rise to prominence in nearly every field whereas the rest of the world failed? That might be an interesting question for a historian, but it couldn't be less relevant to a math course. Maybe Europeans sucked the brains out of Africans, drank their blood, and got the nourishment that made their brains smarter. Maybe aliens came and told them the answers. Maybe they got help form the invisible pink unicorn. Whatever the case, it was Newton and Leibniz who developed calculus; it was Greece that gave us the foundations of mathematics. There's no denying that.</rant>
 
  • #39
ideasrule said:
<rant>Except in recent times, nearly all of mankind's great achievements--its inventions, its science, its politics, its art and literature--were made in Europe. If other people did anything significant, it didn't send shock waves around the world in the same way that Euclid or Newton did. Denying this by emphasizing the "achievements" of female, black, Native, Indian, or chimpanzee intellectuals isn't lying; it's worse than lying. It's no different from the selective use of facts that white supremacists exploit in proving their point. (If anti-racist math gets implemented, though, the white supremacists may have a valid point.)

Why did Europe rise to prominence in nearly every field whereas the rest of the world failed? That might be an interesting question for a historian, but it couldn't be less relevant to a math course. Maybe Europeans sucked the brains out of Africans, drank their blood, and got the nourishment that made their brains smarter. Maybe aliens came and told them the answers. Maybe they got help form the invisible pink unicorn. Whatever the case, it was Newton and Leibniz who developed calculus; it was Greece that gave us the foundations of mathematics. There's no denying that.</rant>
Did you just equate the significance of discoveries by females and blacks with those by chimpanzees?


: Takes three large steps away from ideasrule :
 
  • #40
DaveC426913 said:
Did you just equate the significance of discoveries by females and blacks with those by chimpanzees?
It was a stupid rant.
On the other hand, your statement was a blatant example of human supremacism.

Article on speciesism: http://www.richardryder.co.uk/speciesism.html

Web sites promoting great ape personhood: http://www.greatapeproject.org/en-US/oprojetogap/Missao, http://www.personhood.org/: Takes one small step away from DaveC :
 
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  • #41
another question for you, why did Newton and leibniz discover calculus at the same time? this seems to happen fairly often, btw.
 
  • #42
Has anyone brought this up?; the desire by some to portray mathematics as racist is a racist desire.

This is so very much like the shrinks who found solace by labeling bullies to be low on self esteem, where the opposite were true. But this bit of common delusion sure boosts the self esteem of the bullied.
 
  • #43
ideasrule said:
<rant>Except in recent times, nearly all of mankind's great achievements--its inventions, its science, its politics, its art and literature--were made in Europe. If other people did anything significant, it didn't send shock waves around the world in the same way that Euclid or Newton did. Denying this by emphasizing the "achievements" of female, black, Native, Indian, or chimpanzee intellectuals isn't lying; it's worse than lying. It's no different from the selective use of facts that white supremacists exploit in proving their point. (If anti-racist math gets implemented, though, the white supremacists may have a valid point.)

Why did Europe rise to prominence in nearly every field whereas the rest of the world failed? That might be an interesting question for a historian, but it couldn't be less relevant to a math course. Maybe Europeans sucked the brains out of Africans, drank their blood, and got the nourishment that made their brains smarter. Maybe aliens came and told them the answers. Maybe they got help form the invisible pink unicorn. Whatever the case, it was Newton and Leibniz who developed calculus; it was Greece that gave us the foundations of mathematics. There's no denying that.</rant>

ORLY?

http://en.wikipedia.org/wiki/Avicenna
 
  • #44
Galteeth said:

I was going to say. I was fairly certain that most of the foundation for advanced mathematics was developed outside of europe.
 
  • #45
Galteeth said:
Yeah, I mentioned Islam science and math back in post #20, as well as the Indians, the Chinese, and the Mayans. Each of these could have been the seat of the scientific revolution -- except of course they weren't.

I think a big part of the problem here comes from the completely different way in which math and science are taught versus the way the humanities are taught. The humanities have people read the writings of their esteemed scholars. How many of you have tried to read Principia? I've tried; it is torturous. Even Maxwell's papers are a bit verbose. They lacked the modern tools to represent mathematical expressions. Math and science are constantly reinventing and economizing their nomenclature. In comparison, there has been very little improvement in the basic representation scheme used in the humanities for since the invention of the alphabet 4000 years ago.

Here is the kind of nonsense al-Khwārizmī had to deal with to determine that 1 is one of the two roots to [itex](10-x)^2=81x[/itex] (from Muhammad ibn Mūsā al-Khwārizmī[/URL]):
[indent]If some one say: "You divide ten into two parts: multiply the one by itself; it will be equal to the other taken eighty-one times." Computation: You say, ten less thing, multiplied by itself, is a hundred plus a square less twenty things, and this is equal to eighty-one things. Separate the twenty things from a hundred and a square, and add them to eighty-one. It will then be a hundred plus a square, which is equal to a hundred and one roots. Halve the roots; the moiety is fifty and a half. Multiply this by itself, it is two thousand five hundred and fifty and a quarter. Subtract from this one hundred; the remainder is two thousand four hundred and fifty and a quarter. Extract the root from this; it is forty-nine and a half. Subtract this from the moiety of the roots, which is fifty and a half. There remains one, and this is one of the two parts.[/indent]We do not and should not teach students to solve problems in this manner. The screams of "Oh no! Not another word problem!" would take on an entirely new meaning. It might be a good idea to show kids how people used to solve problems. This will serve multiple purposes. It opens a path to counter the claims of Eurocentricism. It also let's kids know that the word problems they face aren't so bad after all.
 
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  • #46
D H said:
Here is the kind of nonsense al-Khwārizmī had to deal with

Or number theory. Imagine the excitement when it was recognized that MMMMMMCDVII factored into LXXIII x LXXXIX.
 
  • #47
D H said:
Yeah, I mentioned Islam science and math back in post #20, as well as the Indians, the Chinese, and the Mayans. Each of these could have been the seat of the scientific revolution -- except of course they weren't.

I think a big part of the problem here comes from the completely different way in which math and science are taught versus the way the humanities are taught. The humanities have people read the writings of their esteemed scholars. How many of you have tried to read Principia? I've tried; it is torturous. Even Maxwell's papers are a bit verbose. They lacked the modern tools to represent mathematical expressions. Math and science are constantly reinventing and economizing their nomenclature. In comparison, there has been very little improvement in the basic representation scheme used in the humanities for since the invention of the alphabet 4000 years ago.

Here is the kind of nonsense al-Khwārizmī had to deal with to determine that 1 is one of the two roots to [itex](10-x)^2=81x[/itex] (from Muhammad ibn Mūsā al-Khwārizmī[/URL]):
[indent]If some one say: "You divide ten into two parts: multiply the one by itself; it will be equal to the other taken eighty-one times." Computation: You say, ten less thing, multiplied by itself, is a hundred plus a square less twenty things, and this is equal to eighty-one things. Separate the twenty things from a hundred and a square, and add them to eighty-one. It will then be a hundred plus a square, which is equal to a hundred and one roots. Halve the roots; the moiety is fifty and a half. Multiply this by itself, it is two thousand five hundred and fifty and a quarter. Subtract from this one hundred; the remainder is two thousand four hundred and fifty and a quarter. Extract the root from this; it is forty-nine and a half. Subtract this from the moiety of the roots, which is fifty and a half. There remains one, and this is one of the two parts.[/indent]


We do not and should not teach students to solve problems in this manner. The screams of "Oh no! Not another word problem!" would take on an entirely new meaning. It might be a good idea to show kids how people used to solve problems. This will serve multiple purposes. It opens a path to counter the claims of Eurocentricism. It also let's kids know that the word problems they face aren't so bad after all.[/QUOTE]

It's worth noting in the context of this discussion that al-Khwārizmī (a persian) and Al-Kindi (an arab) were principally responsible for the adoption of the Indian numeral system into the Islamic world, which lead ultimately to its adoption in Europe. This is the system of numerals that is still in use today, none of which were invented by europeans.
 
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  • #48
D H said:
Yeah, I mentioned Islam science and math back in post #20, as well as the Indians, the Chinese, and the Mayans. Each of these could have been the seat of the scientific revolution -- except of course they weren't.

I think a big part of the problem here comes from the completely different way in which math and science are taught versus the way the humanities are taught. The humanities have people read the writings of their esteemed scholars. How many of you have tried to read Principia? I've tried; it is torturous. Even Maxwell's papers are a bit verbose. They lacked the modern tools to represent mathematical expressions. Math and science are constantly reinventing and economizing their nomenclature. In comparison, there has been very little improvement in the basic representation scheme used in the humanities for since the invention of the alphabet 4000 years ago.

Here is the kind of nonsense al-Khwārizmī had to deal with to determine that 1 is one of the two roots to [itex](10-x)^2=81x[/itex] (from Muhammad ibn Mūsā al-Khwārizmī[/URL]):
[indent]If some one say: "You divide ten into two parts: multiply the one by itself; it will be equal to the other taken eighty-one times." Computation: You say, ten less thing, multiplied by itself, is a hundred plus a square less twenty things, and this is equal to eighty-one things. Separate the twenty things from a hundred and a square, and add them to eighty-one. It will then be a hundred plus a square, which is equal to a hundred and one roots. Halve the roots; the moiety is fifty and a half. Multiply this by itself, it is two thousand five hundred and fifty and a quarter. Subtract from this one hundred; the remainder is two thousand four hundred and fifty and a quarter. Extract the root from this; it is forty-nine and a half. Subtract this from the moiety of the roots, which is fifty and a half. There remains one, and this is one of the two parts.[/indent]


We do not and should not teach students to solve problems in this manner. The screams of "Oh no! Not another word problem!" would take on an entirely new meaning. It might be a good idea to show kids how people used to solve problems. This will serve multiple purposes. It opens a path to counter the claims of Eurocentricism. It also let's kids know that the word problems they face aren't so bad after all.[/QUOTE]

The difference between these two is that while mathematical language seeks clarity of meaning, or in other words, restricting meaning so as to increase precision, the evolution of language has been the exact opposite.
In fact, one of the reasons english has become so dominant, besides the historical reasons, is its ability to continually expand its vocabulary and thus incorporate greater nuance. It could be said then that the goal of language evolution is not precision but range of expression. Paradoxically, a greater range of expression allows for greater specificity.

I do think the goal of post-modern speak is often to obscure rather then to clarify, but this does not mean that complex language is a negative thing.
 
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  • #49
Galteeth said:
The difference between these two is that while mathematical language seeks clarity of meaning, or in other words, restricting meaning so as to increase precision, the evolution of language has been the exact opposite.
In fact, one of the reasons english has become so dominant, besides the historical reasons, is its ability to continually expand its vocabulary and thus incorporate greater nuance. It could be said then that the goal of language evolution is not precision but range of expression. Paradoxically, a greater range of expression allows for greater specificity.

I do think the goal of post-modern speak is often to obscure rather then to clarify, but this does not mean that complex language is a negative thing.

As someone once observed:
"How can French be the language of science when it has no word for eighty?"
 

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