Brilliant Self-Refuting Argument

by rrusczyk, Sep 29, 2010, 10:03 PM

From this book:
Quote:
This review manual is generally proof-free. Proofs tend to waste space in most math books, and students skip the proofs anyway. I would care more that a student can apply a math concept than understand its derivation. If a theorem is well-known and in a mathematics book, then it must be true. Math is only useful if a person applies it. A series of known facts is useless.

Comment

8 Comments

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It is, of course, well known, that 1=2. We can just apply the statement without worrying about its derivation.

by phiReKaLk6781, Sep 29, 2010, 10:07 PM

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i want this book

by ksun48, Sep 29, 2010, 10:21 PM

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Wow. We should burn this book, but of course we really shouldn't, as it is always bad to burn books.

by yugrey, Sep 30, 2010, 12:08 AM

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That's a not-brilliant self-refuting statement. :wink:

by phiReKaLk6781, Sep 30, 2010, 3:57 AM

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applies it as in... applies it on a standardized test? (also, is this a joke?)

by gighiuhui, Sep 30, 2010, 6:09 AM

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yes what is this proof stuff and how can it be useful ever

To be fair, most of what students see in school is the crappy 2-column proof, which is a pretty useless waste of space :P

by Mewto55555, Oct 1, 2010, 4:13 AM

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What if you don't know the proofs? How are you going to believe that?

by mathwarrior557, Oct 16, 2010, 11:17 PM

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Ah, Richard, haven't you seen enough cranks on AoPS to look out for more on Amazon? :P

by fedja, Oct 17, 2010, 3:18 AM

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Olympiad test series musings
Interesting Math Blog
Do what you love, not what you think Harvard wants you to do
Learning through Teaching - An Example
Belated USAMO blogging
Tilings: Mixing Number Theory and Geometry
How do the 'smart' students do it?
Interesting picture
What Calculators Hath Wrought
At the NCTM Convention
Looking Forward to Nationals
AoPS may be growing!
Computer Problems and an Interesting Dinner
The Price of Mathematical Ignorance
CA State MATHCOUNTS
San Diego Math Circle Parents
Prepping for Northern CA State MATHCOUNTS
Our Book Project
Recursive Thinking
Differences in course types
Play
Burnout
MATHCOUNTS Chapter Update
MATHCOUNTS Chapter
Using symmetry
Using Expected Value to Solve Problems
Counting the Same Thing Two Different Ways
Another test
Testing
Evolution in the classroom
Women in Math & Science
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About Owner
  • Posts: 16194
  • Joined: Mar 28, 2003
Blog Stats
  • Blog created: Jan 28, 2005
  • Total entries: 940
  • Total visits: 3309285
  • Total comments: 3877
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