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Topic: There are no axioms or postulates in Greek mathematics, only in mythmatics.
Replies: 5   Last Post: Sep 28, 2017 1:40 PM

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Jan Burse

Posts: 1,472
Registered: 4/12/05
Re: There are no axioms or postulates in Greek mathematics, only in

Posted: Sep 28, 2017 1:28 PM
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A lot of text understanding has to do with things
like "A Theory of Cognitive Dissonance (1957),
Leon Festinger". Reading is making sense into texts.

And you assume that the author, you assume this
for a math author, that he doesn't give you an
anyway false list of statememts.

The much simpler example is this:

3 = 3/1

We compare a rational number and a natural
number. Strictly speaking the above statement
is false, if we see ./. as an abbrevation

for the usual pair construction of rational
numbers, because N and N x N are usually disjoint,
also equaivalence class from P(N x N) are disjoint

to N x N. So implicitly we all the time move
objects from one type to another. Otherwise we
would just read non-sense.

Jan Burse wrote:
> would always give the truth value false. Typically
> N -> R and R are disjoint, so if we have:
> f : N -> R and x : R
> Then a statement:
> f = x
> is automatically false.

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