Re: How do Universities Sell Prestigious Baubles?

Bertietaylor <bertietaylor@myyahoo.com> wrote:

On Sun, 2 Feb 2025 10:39:19 +0000, J. J. Lodder wrote:
 

Maciej Wozniak <mlwozniak@wp.pl> wrote:
>

W dniu 01.02.2025 o 23:28, J. J. Lodder pisze:
>

Nobody is "rejecting Euclid"

>
A lie. Of course.

>
Because you say so? I checked: nobody is "rejecting Euclid".

>
Indeed, and au contraire:

>

Nowadays Euclidean geometry is -defined- as that kind of geometry
in which the Pythagorean theorem holds.

>
And - according to the teachings of your moronic church -
does  Pythagorean theorem hold? For real?
Poor stinker Python has never answerred, he's always
dodging and changing the subject. How about you?

>
You might have noticed that I make it a habit
of never replying to your silly rants.
I'll make an exception for once,
because you are trying to mislead the innocent kiddies
who might stray in here.
>
Of course the Pythagorean theorem holds -in Euclidean geometry-.
A forteriori, it -defines- Euclidean geometry, nowadays.

 
The Pythagoras theorem is just that. Euclidean geometry is defined by
axioms or self-evident and unquestionable truths upon which all theorems
are derived. Not the other way around.

What is axiom, and what is theorem,
is in some cases merely a matter of taste.
The // axiom-theorem is a case in point.
You can take it as an axiom, and prove Pythagoras,
or you can take Pythagoras, and prove the //-theorem.

And FYI, the // axiom was never accepted as 'self-evident',
by the most mathematicians.
There have been lots of attempts to prove it from the other axioms,
until Gauss and others proved that this is a futile excercise,
by showing that it is an independent axiom that you can leave or take.

It does of course not hold in any other kind of geometry,
by definition,

 
All other geometries are mappings based on Euclidean geometry, if we are
talking engineering sense.

The // axiom/theorem has nothing to do with engineering. [1]
OTOH, Pythagoras does,

Jan

[1] Engineers don't build infinitely large structures.