Colin leslie dean proves mathematicians are dumb
- From: "elsiemelsi" <cyprinsam@xxxxxxxxxxxxxxx>
- Date: Thu, 27 Mar 2008 21:33:35 -0500
Colin leslie dean proves mathematicians are dumb
an academic from cambridge who wrote a bigggggggggg book on godels proof
did not know godel used the axiom of reducibility in it -as do all the
other math brains
http://gamahucherpress.yellowgum.com/books/philosophy/GODEL5.pdf
quote
"The system P of footnote 48a is Godelâ??s
streamlined version of Russellâ??s theory of types built on the natural
numbers as individuals, the system used in [1931]. The last sentence ofthe
footnote allstomindtheotherreferencetosettheoryinthatpaper;
KurtGodel[1931,p. 178] wrote of his comprehension axiom IV,
foreshadowinghis approach to set theory, â??This axiom plays the role of
[Russellâ??s]
axiom of reducibility (the comprehension axiom of set theory).â??
also mathematicians
dont know the skolem paradox meant ZFC/ZF was inconsistent-any
undergraduate philosophy student could see that- even Abraham freankel
saw that
quote
Using the Löwenheim-Skolem Theorem, we can get a model of set theory
which only contains a countable number of objects. However, it must
contain the aforementioned uncountable sets, which appears to be a
contradiction
they say it appears to be a contradiction but not one of them can prove it
is not a contradiction
and being a contradiction means set theory is inconsistent until the
skolem paradox is solved-any 1st year philosophy student can see this but
the maths brains cant
and
also
they did not know godel used a rejected system PM
with an invalid axiom in his incompleteness proof
quote
â??In the Introduction to the second edition of Principia, Russell
repudiated Reducibility as 'clearly not the sort of axiom with which we
can rest content'â?¦Russells own system WITH OUT reducibility was
rendered incapable of achieving its own purposeâ??
http://gamahucherpress.yellowgum.com/books/philosophy/GODEL5.pdf
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