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Thursday, September 30, 2004 - 8:50pmSanction this postReply
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Great joke!

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Friday, October 1, 2004 - 7:48pmSanction this postReply
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The comment about "al-gebra" was actually more truthful than maybe you realize.

Few people know that the term "algebra" is a european alteration of the arabic math procedure known as "al-jabara", meaning "the reduction". 

I believe its creator was a prolific arab known as Al-Kwarzhimi, whose other invention employed a pattern of logic to design procedural branching diagrams that were later named in honor of him:  the algorithm.
 
Pro-Muslim types are usually quick to try and lay claim to al-Kwarzhimi's achievements, as a "glorious example of the Golden Age of Islam".  But that sobering truth is, people like al-Kwarzhimi, Sir Isaac Newton, and other Objectivist thinkers achieve in spite of the oppression of their religion-dominated societies, not because of them.  While they live, the religions that dominate their lands usually have either a suppressive or reluctantly tolerant attitude towards these "fountainheads".  Once they make their achievements, however, the religion-syndicates are quick to declare their achievements as a result of the religious presence in the land, and as an actual product of the religion.

Did I mention before how much I utterly fucking HATE religion?    

Anyhow, in al-jabara, a standardized protocol has been designed to employ a series of logically true steps, to rearrange and reduce known and unknown values (constants and variables) so that ultimately, all the knowns end up on one side of the equal sign, while all the unknowns end up on the other, and the final result is a reduction to x equals some definite value or variable rate.

It's fascinating to me that this word meaning -- and all that it implies and would otherwise be of enormous benefit to struggling algebra students -- is not taught to algebra students at all.  I have found in my own tutoring of the subject of algebra, that many so-called "math dummies" are actually much more savvy at math than their counterparts, once their eyes are opened to things like this.  But then again, this is to be expected in a country with a "Burger King employee" educational system:  don't teach organizing concepts, just incomprehensible procedures, a mentality affectionately and contemptibly known as "plug and chug".

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Saturday, October 2, 2004 - 1:09amSanction this postReply
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HA! I love this joke. Puns are incredibly surprisingly fun. They don't deserve their bad rep.

Orion Reasoner! That is true. That's the reason why most people hate economics, because all they know are those damn graphs and equations that the textbooks manage somehow to completely separate from reality. If they just read Hazlitt's Economics in One Lesson they would know how awesome and significant it is. Wow. Thank you!

(Without referring to the Books section, so please excuse me if the answer is there) but would you recommend any particular book or resource that is exceptional at explaining math (any level) in the concept organizing way?

Meg


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Saturday, October 2, 2004 - 6:17amSanction this postReply
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Few people know that the term "algebra" is a european alteration of the arabic math procedure known as "al-jabara", meaning "the reduction".

I believe its creator was a prolific arab known as Al-Kwarzhimi, whose other invention employed a pattern of logic to design procedural branching diagrams that were later named in honor of him: the algorithm.


The term comes from his treatise Hisab al-jabr w'al-muqabala, which I usually see translated as “Science of transposition and cancellation.” It basically described how to find the solutions to first- and second-order equations by the operations of al-jabr (transposing a term from one side of an equation to the other by adding its negation to both sides) and al-muqabala (combining terms of the same power of the variable into a single term).

It's interesting to note that Hisab al-jabar w'al maqabala wasn't a “pure” mathematics text; the first third of the book was concerned with the techniques of algebra, and the rest covered topics in geometry and Islamic inheritance law (presumably based on the mathematical techniques presented earlier). It's a book that was obviously intended for life on Earth.

A fairly interesting and thorough page about al-Khwarizmi that I found on a quick Google search is here.

I did a lot of reading about mathematical history a few years ago. It makes mathematics a lot more interesting when you know that theorems and techniques weren't magically revealed to the first math teacher, but discovered by real people—and that there are still plenty of open problems in mathematics.

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Saturday, October 2, 2004 - 8:19amSanction this postReply
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Anyone interested in mathematical history will enjoy these two books: The Parrot's Theorem, and Fermat's Enigma. The first, which I loved (despite it being French!) is a fun but very informative novel, tracing the entire history of mathematics. The second is non-fiction, an absorbing look at the history of Fermat's Last Theorem and some of the other maths problems that have haunted mathematicians since Thales.

Phil

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Saturday, October 2, 2004 - 8:45amSanction this postReply
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Thanks Sam! I love witty stuff such as that.

Ed

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Saturday, October 2, 2004 - 8:58amSanction this postReply
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Meg,

Thanks for the acknowledgment... and yes, there is an amazing math book out there, written by a Swedish M.D. named Jan Gullberg.  The book is called Mathematics:  From the Birth of Numbers.  In my judgment, it's an amazing encyclopedia on the philosophy and techniques of math.  I bought a copy awhile back, and still use it as a reference.

Nature,

Thanks for the extra info.  I'll have to check out that link.  It's great to see people who actually enjoy the whole beauty of math, and not just the procedures.


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Saturday, October 2, 2004 - 7:20amSanction this postReply
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Very funny. No wonder so many mathematicians are too absent-minded to remember what day is voting day.

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Thursday, October 7, 2004 - 8:23pmSanction this postReply
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That's so funny! Thanks!

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Thursday, October 7, 2004 - 10:41pmSanction this postReply
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Sam, great joke! Thank you!

Orion, I hear you, loud and clear! I tutored athletes in college. (Bright bunch, surprisingly, but with very tight schedules.) Over and over again, I taught them that if you want math problems to make sense in the real world, then you've got to think about them conceptually, and not just plug-and-chug. This was years before I studied any philosophical material on concepts, but it made sense to tutor math so that each calculation "made sense."

And my students really seemed to appreciate it. The ones who didn't "get it" kept asking what they ought to add and subtract. It took them a while to realize that there were reasons for all their adding and subtracting.

You can't imagine how big a thrill it was when they discovered that what they'd been doing started making sense to them. I miss those days.

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Friday, October 8, 2004 - 11:38amSanction this postReply
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"the Greek philanderer Isosceles"?!!
 
I only noticed this second time reading the joke. That's outrageous!
 
 
 


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