alternative mathematics

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Tirian
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Re: alternative mathematics

Postby Tirian » Fri Jun 03, 2011 1:53 am UTC

It'd be a comfort if he would define his order rather than spending an axiom stating that, whatever it is, it is total.

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kumarevo
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Re: alternative mathematics

Postby kumarevo » Fri Jun 03, 2011 3:40 am UTC

skeptical scientist wrote:
kumarevo wrote:Cb comparability of the three numbers - open c>a=b , (9 opportunities)

Oh? I count 13.
a>b>c
a>c>b
b>a>c
b>c>a
c>a>b
c>b>a
a=b>c
a=c>b
b=c>a
a>b=c
b>a=c
c>a=b
a=b=c

number a is comparable with the numbers b and c-of these possibilities applies, not the ones that you gave
c>a>b , c>a=b , c>a<b , c=a>b , c=a=b , c=a<b , c<a>b , c<a=b ,c<a<b .

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phlip
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Re: alternative mathematics

Postby phlip » Fri Jun 03, 2011 3:48 am UTC

But your "c>a<b" could be either a<b<c, a<c<b or a<b=c... all of those options are possible, since you only know that a is the smallest.
Similarly, "c<a>b" could be either b<c<a, c<b<a or b=c<a.

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kumarevo
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Re: alternative mathematics

Postby kumarevo » Fri Jun 03, 2011 3:56 am UTC

phlip wrote:But your "c>a<b" could be either a<b<c, a<c<b or a<b=c... all of those options are possible, since you only know that a is the smallest.
Similarly, "c<a>b" could be either b<c<a, c<b<a or b=c<a.


number a must be in the middle- no: a>c>b , c=b=a ,...

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nehpest
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Re: alternative mathematics

Postby nehpest » Fri Jun 03, 2011 4:23 am UTC

Under the usual definitions, < > and = are transitive. In your system, are they not?
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skeptical scientist
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Re: alternative mathematics

Postby skeptical scientist » Fri Jun 03, 2011 11:52 am UTC

kumarevo wrote:
phlip wrote:But your "c>a<b" could be either a<b<c, a<c<b or a<b=c... all of those options are possible, since you only know that a is the smallest.
Similarly, "c<a>b" could be either b<c<a, c<b<a or b=c<a.


number a must be in the middle- no: a>c>b , c=b=a ,...

This is inconsistent with your example
q15.png
q15.png (2.32 KiB) Viewed 1394 times

which is not on your list, since c<a>b doesn't tell you whether b=c.
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kumarevo
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Re: alternative mathematics

Postby kumarevo » Fri Jun 03, 2011 3:06 pm UTC

skeptical scientist wrote:
kumarevo wrote:
phlip wrote:But your "c>a<b" could be either a<b<c, a<c<b or a<b=c... all of those options are possible, since you only know that a is the smallest.
Similarly, "c<a>b" could be either b<c<a, c<b<a or b=c<a.


number a must be in the middle- no: a>c>b , c=b=a ,...

This is inconsistent with your example
q15.png

which is not on your list, since c<a>b doesn't tell you whether b=c.

This is a closed system of comparability of three numbers, according to a plane, it can and line
(=)c<a>b(=) - circular -(=)

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kumarevo
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Re: alternative mathematics

Postby kumarevo » Fri Jun 03, 2011 3:28 pm UTC

Theorem: The number b the starting point going on points number a starting from the starting point

q16.png

Ca 5+(.0)2=5
Cb 5+(.1)2=5
Cc 5+(.2)2=5
Cd 5+(.3)2=5
Ce 5+(.4)2=6
Cf 5+(.5)2=7
MS.12-addition

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Re: alternative mathematics

Postby gmalivuk » Fri Jun 03, 2011 5:08 pm UTC

kumarevo wrote:The number b the starting point going on points number a starting from the starting point
This doesn't mean *anything* in English. And you can't keep calling things "theorem" when you can't prove them or even make them make sense.

We cannot understand what you're trying to say. Find someone fluent in both Serbian and English, and have them translate this for you.

Until then, I'm locking this thread. Please do not start another one about this topic.
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