Sujet : Re: New addition to the list of Relativity Critics/Skeptics
De : nospam (at) *nospam* de-ster.demon.nl (J. J. Lodder)
Groupes : sci.physics.relativityDate : 19. Mar 2024, 19:38:26
Autres entêtes
Organisation : De Ster
Message-ID : <1qqolco.zgpjd4v2qwqmN%nospam@de-ster.demon.nl>
References : 1 2 3 4 5
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LaurenceClarkCrossen <
clzb93ynxj@att.net> wrote:
Jan says the intersection of parallel lines at infinity can be proven!
Parallel lines can only meet at infinity if one starts with irrational
premises.
Nope. You didn't pay attention.
Euclid's axiom says that given a line, and a point outside it,
there is one -unique- line through the point that doesn't intersect it.
(no matter how far you prolong it)
Taking the Pythagorean axiom instead this can be proven. [1]
'Points at infinity' and 'intersection at infinity'
are add-ons that have no place in the original Euclidean geometry,
Jan
[1] For the perhaps misled kiddies here:
In other words, the // axiom and Pythagoras' theorem/axiom
are fully equivalent. Take one, ant the other can be proven.
In still other words: Euclidean geometry doesn't contain
any actual infinities, only potential ones.