The cult of logical empiricism, with its demand for facts, evidence and proof fails to recognize abstract identity ‘A = A’ is first constituted by ‘A’ not equal to itself – i.e. – ‘A’ is incomplete because every ‘A’ is new, unique and transient [Heraclitus preceded Aristotle & becoming precedes substantiation]. Heraclitus’s Logos originates becoming as divinity, not abstraction, and Russell, Wittgenstein et al are Aristotelians in accepting tertium exclusi & non-contradiction as “laws” – hence, they failed to see mortal identity is self-negating.
Jim Overbeck – outed by UK Mil Intel as a super-genius in 1960 and “of incalculable intelligence” and the creator of Non-Cantorian set theory – visited Russell in 1963 with results surpassing those of LEJ Brouwer. Brouwer noticed tertium exclusi failed for certain configurations of real numbers, but Jim infinitized tertium exclusi for transfinite cardinals and thus collapsed numbers as abstractions – i.e. – he saw that numbers are created energies from the increate [= uncreated] Logos. Russell – like Hilbert with his insistence that even the angels could not negate the “law” of non-contradiction – sided with the heathens and, like Wittgenstein, believed the world is all there is. Logicists and Formalists deny metamorphosis [ = apotheosis aka Transfiguration], but this returns immortal identity and thus reconstitutes logic as the science of divinity.
I spent 9 or so years > 18 to 27 analyzing transfinite fractions & infinite versions of tertium exclusi & it is only recently I found out more information on LEJ Brouwer , who also thought the real number system highly suspect as a coherent foundation. The idea of becoming [Gk: to gignomai] in Heracalitus’s Logos collapses identity.-theory – hence, I inserted “becomings” [charu de shiwu aka eingefuegte Werdende] into transfinite cardinal numbers & quickly realised identity is at most a mere appearance [eine blosse Erscheinung”].
The Madness of Maths
As a street punk I visited Russell – I’m a Russell on my mother’s side via the Billson -Russell nexus and thus I am probably distantly related – but he wasn’t up to negating tertium exclusi, whereas I thought of it as of world-shattering theoretical consequences. The idea of a mathematical-logical collapse of abstract “reason” made way for a release of energy greater than a hydrogen bomb and it indicates Transfiguration [= becoming a god] has more reality than earthly Schein. After bumming around Asia, with my maths notes written along the way, I took some of them – actually 1000’s of pages in all – to GT Kneebone at Bedford College. He circulated my NB’s to Dummett, McGuiness, Kilmister et al + I won a scholarship in the Foundations of Mathematics, but by then Transfiguration was my chief concern – hence I applied my mathematical skills to the Post-Nicene Theological formulae of deification.
Jim Overbeck’s painting “THE MADNESS OF MATHEMATICS” indicates a few of the many mathematicians – think Newton, Weierstrass + all the current crop – who are “insane” by virtue of mortality. Plato’s “All mortals are insane” & “ Some men become immortal” – hence, his idea “Only immortals are sane” – i.e. – without deification there is only sub-humanity , because humans have no “being”. The false idea of “human being” implies completeness & it is an error to think mortals are complete. Mortals are sub-human and become human when deified – hence , Goedel’s idea of incompleteness should assert this of mortals and not simply of abstract systems. And to think a poverty-stricken slum-kid worked all this out by himself, but bourgeois societies deny proletarian genius AND God’s great gifts.