Fun with Math
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18-01-2014, 07:09 AM
RE: Fun with Math
(18-01-2014 12:03 AM)GirlyMan Wrote:  Spot the fallacy. This one's pretty hard to spot. I didn't spot it. You gotta know something about proof by induction to follow it.

Everyone's the same age.

1) In any group that consists of just one person, everybody in the group has the same age, because after all there is only one person!
2) Therefore, statement S(1) is true.
3) The next stage in the induction argument is to prove that, whenever S(n) is true for one number (say n=k), it is also true for the next number (that is, n = k+1).
4) We can do this by (1) assuming that, in every group of k people, everyone has the same age; then (2) deducing from it that, in every group of k+1 people, everyone has the same age.
5) Let G be an arbitrary group of k+1 people; we just need to show that every member of G has the same age.
6) To do this, we just need to show that, if P and Q are any members of G, then they have the same age.
7) Consider everybody in G except P. These people form a group of k people, so they must all have the same age (since we are assuming that, in any group of k people, everyone has the same age).
8) Consider everybody in G except Q. Again, they form a group of k people, so they must all have the same age.
9) Let R be someone else in G other than P or Q.
10) Since Q and R each belong to the group considered in step 7, they are the same age.
11) Since P and R each belong to the group considered in step 8, they are the same age.
12) Since Q and R are the same age, and P and R are the same age, it follows that P and Q are the same age.
13) We have now seen that, if we consider any two people P and Q in G, they have the same age. It follows that everyone in G has the same age.
14) The proof is now complete: we have shown that the statement is true for n=1, and we have shown that whenever it is true for n=k it is also true for n=k+1, so by induction it is true for all n.

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(06-02-2014 03:47 PM)Momsurroundedbyboys Wrote:  And I'm giving myself a conclusion again from all the facepalming.
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18-01-2014, 07:11 AM
RE: Fun with Math
Every time this thread comes up to the top again, my lip trembles a little. Sadcryface

See here they are the bruises some were self-inflicted and some showed up along the way. - JF
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18-01-2014, 07:14 AM (This post was last modified: 18-01-2014 07:18 AM by morondog.)
RE: Fun with Math
(18-01-2014 07:11 AM)Anjele Wrote:  Every time this thread comes up to the top again, my lip trembles a little. Sadcryface

More effective than spanking eh ? "You better mind your manners or I'll give you quadratic equations to solve" Tongue

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(06-02-2014 03:47 PM)Momsurroundedbyboys Wrote:  And I'm giving myself a conclusion again from all the facepalming.
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18-01-2014, 07:21 AM
RE: Fun with Math
(18-01-2014 07:14 AM)morondog Wrote:  
(18-01-2014 07:11 AM)Anjele Wrote:  Every time this thread comes up to the top again, my lip trembles a little. Sadcryface

More effective than spanking eh ? "You better mind your manners or I'll give you quadratic equations to solve" Tongue

NNNNNOOOOOOOOOOOOO!!!!!!!!!

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18-01-2014, 12:34 PM
RE: Fun with Math
Prime numbers and the mark of the beast.

2^2 + 3^2 + 5^2 + 7^2 + 11^2 + 13^2 + 17^2 = 666.

Just sayin'. Tongue

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18-01-2014, 12:36 PM
RE: Fun with Math
(18-01-2014 12:34 PM)GirlyMan Wrote:  Prime numbers and the mark of the beast.

2^2 + 3^2 + 5^2 + 7^2 + 11^2 + 13^2 + 17^2 = 666.

Just sayin'. Tongue

See, I told you math is the devil. Evil_monster

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18-01-2014, 12:40 PM
RE: Fun with Math
(18-01-2014 12:36 PM)Anjele Wrote:  
(18-01-2014 12:34 PM)GirlyMan Wrote:  Prime numbers and the mark of the beast.

2^2 + 3^2 + 5^2 + 7^2 + 11^2 + 13^2 + 17^2 = 666.

Just sayin'. Tongue

See, I told you math is the devil. Evil_monster

It's talk like that that killed the Islamic enlightenment Angry

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18-01-2014, 12:48 PM
RE: Fun with Math
(18-01-2014 06:48 AM)Chas Wrote:  Step 4 assumes the conclusion. It is invalidly applying a universal quantifier, going from 'there exists an x' to 'for all x'.

But I'm not even half way through my first cup of coffee, so I may be wrong. Drinking Beverage

Nope. That was my call too, but step 4 is just not worded quite right.

All People in Canada are the Same Age

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19-01-2014, 01:41 PM
RE: Fun with Math
[Image: meth-funny-meme1.jpg]



















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Huh? Fun with MATH?



Dodgy


Oh.



Nevermind....


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19-01-2014, 04:23 PM
RE: Fun with Math
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