1. MATHEMATICS

Subsections

1.14 SET THEORY

Index | Comments and Contributions | previous:1.13 numbers


mathematics
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What is set theory?

When there are five people in the room and seven are leaving, two have to
enter the room, so it is empty.

mathematics
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From: Dr. David Batchelor batchelor#NoSpam.nssdca.gsfc.nasa.gov:

Theorem: Consider the set of all sets that have never been considered.

Hey! They're all gone!! Oh, well, never mind...


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The world is divided into two classes:
        people who say "The world is divided into two classes",
    and people who say
        The world is divided into two classes:
                people who say: "The world is divided into two classes",
            and people who say:
                The world is divided into two classes:
                        people who say ...

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From: kfoster#NoSpam.rainbow.rmii.com (Kurt Foster)
August 5
April 6

First mathemetician:  I know this is a group, but it's hard to study.
Second mathematician:  Well, I can prove it's commutative.
First mathematician:  Thanks abelian!

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From: Zheng wang80#NoSpam.purdue.edu

If the set of power stations forms a group under the operation of power 
generation, when isn’t it cyclic?

When the generators are out of order.

P.s. this one is original

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From: "Liflandsky Sergey" <riemann#NoSpam.bezeqint.net>
Hi here is another joke I invented:
 
Q: what is the opposite of Monday?
A: Since the days of the week is a set of 7 elements, it is in the most
natural way can be made into a group by definig an isomorphism between the
set of the days of the week and Z (subscript) so we define f:days of the
week---> Z 7 by f(Sunday)=1 f(Monday)=2, ....f(Saturday)=0. 

And by requiring f to be an isomorphism we define on the days of the week a
structure of group, moreover since Z 7(+,0,1,*) is a field, we have that f
is a field isomorphism so we easily see (Monday)^(-1)=Wednesday .


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