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First year Math - A TA's Perspective

 
Old 08-26-2009 at 03:40 PM   #91
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Quote:
Originally Posted by EasternHeat View Post
I agree to both those statements

but...economics is all about math

haha
Economics is a social science topic and it deals with the business of making, selling and using goods/services.
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Old 08-26-2009 at 03:40 PM   #92
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Quote:
Originally Posted by ~*Sara*~ View Post
Haha, it's really interesting how this topic got side-tracked like that >.<.

Back to math ?
1+1 = 11
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Old 08-26-2009 at 03:41 PM   #93
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Quote:
Originally Posted by jhan523 View Post
Economics is a social science topic and it deals with the business of making, selling and using goods/services.
"business, making, selling"

All involve numbers and formulas, no?
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Old 08-26-2009 at 03:43 PM   #94
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Quote:
Originally Posted by EasternHeat View Post
"business, making, selling"

All involve numbers and formulas, no?
If you look at it that way then everything can be related to math >.>
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Old 08-26-2009 at 03:43 PM   #95
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Quote:
Originally Posted by EasternHeat View Post
1+1 = 11
Exactly
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Old 08-26-2009 at 03:49 PM   #96
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Quote:
Originally Posted by EasternHeat View Post
1+1 = 11
It is if you construct an appropriate ring algebra.
Old 08-26-2009 at 03:53 PM   #97
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Quote:
Originally Posted by Mowicz View Post
It is if you construct an appropriate ring algebra.
Lol, the same way 1=2?
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Old 08-26-2009 at 03:54 PM   #98
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Quote:
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It is if you construct an appropriate ring algebra.
It is if you want it to be
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Old 08-26-2009 at 03:54 PM   #99
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No, if 1 = 2 your system has a contradiction in it. lol

*tempted to post the technical details and construct a system where 2 + 2 = 5* xD
Old 08-26-2009 at 03:59 PM   #100
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Quote:
Originally Posted by Mowicz View Post
No, if 1 = 2 your system has a contradiction in it. lol

*tempted to post the technical details and construct a system where 2 + 2 = 5* xD
My math teacher made 1=2 using algebra... but when you look closely he illegally divided by 0. But you don't notice it at first glance because all you see are variables.
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Old 08-26-2009 at 04:04 PM   #101
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Quote:
Originally Posted by Mowicz View Post
No, if 1 = 2 your system has a contradiction in it. lol

*tempted to post the technical details and construct a system where 2 + 2 = 5* xD
I will reply with this:

Quote:
Originally Posted by Taunton View Post

0.999 = 1

0.333 = 1/3

3*(0.333) = 3(1/3)

0.999 = 3/3

0.999 = 1
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Old 08-26-2009 at 04:34 PM   #102
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Quote:
Originally Posted by EasternHeat View Post
I will reply with this:
Except 0.999 =\= 1 in the first place...lol.


However, 0.999.... (going on forever) does infact equal 1! And it can be proven rather easily (though some people just can't accept the fact, haha)

The idea is basically:

1 - 0.9 = 0.1
1 - 0.99 = 0.01
1 - 0.999 = 0.001

...

1 - 0.9999....999 = 0.000...001

...

1 - 0.999... (going on forever) = 0. 000... (going on forever)

So 1 = 0.999... (going on forever).

-----------

And it does seem like witchcraft or bad reasoning, but it shows "the distance between 1 and 0.999...9 shrinks to zero as you add more 9's."

It's one of the weird things that arise when you look at infinite sequences.
Old 08-26-2009 at 04:38 PM   #103
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Quote:
Originally Posted by Mowicz View Post
Except 0.999 =\= 1 in the first place...lol.


However, 0.999.... (going on forever) does infact equal 1! And it can be proven rather easily (though some people just can't accept the fact, haha)

The idea is basically:

1 - 0.9 = 0.1
1 - 0.99 = 0.01
1 - 0.999 = 0.001

...

1 - 0.9999....999 = 0.000...001

...

1 - 0.999... (going on forever) = 0. 000... (going on forever)

So 1 = 0.999... (going on forever).

-----------

And it does seem like witchcraft or bad reasoning, but it shows "the distance between 1 and 0.999...9 shrinks to zero as you add more 9's."

It's one of the weird things that arise when you look at infinite sequences.
Is this true for larger numbers as well?
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Old 08-26-2009 at 05:13 PM   #104
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To prove 1+1=2 or 1+1=11 is a breakthrough in math.
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Old 08-26-2009 at 06:02 PM   #105
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If you set up a formal system called Peano Arithmetic (which is a system which behaves 'like we want it to' ... that is 1 + 1 = 2, 254 + 38 = 292, etc.) then a proof of 1 + 1 = 2 isn't very hard to do.

http://mathforum.org/library/drmath/view/51551.html has a proof skeleton, without the mindless technical details (which can be found in the textbook "Outline of Set Theory: Problem Books in Mathematics" by Henle).



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