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Wednesday, 22 April 2026

Liebniz contra Nietzche & Borges's epitaph


Burgess! That the two labyrinths in which Reason goes astray
Can, by the thread of some lone, unloved, Ariadne
Have 'fixed points' not Nietzsche can gainsay
Paths, Lawless, 'spread' Nay to Love's May for Aye.

Envoi-
 That Thy dream of the Rood, wields the sword of Sigurd, while Brouwer's amor fati
Yields to Ulrikke's smile- is Emer's son, Borges, Mousikē in otio et libertati.

Riposte- 
Gram, is but such epigram as sleeps 'twixt heart & incongruent counterpart 
 Longinus' spear is itself transfixed as wounded by the wound held dear. 

Siddhantha-
Not every blaze is a maze, nor its Gauden Tertius of God's triad
Khandava is Kurukshetra. Thy Kodoma, desert's dryad. 






Can there be non-arbitrary or 'absolute' 'fixed point theorems'? Not to our knowledge. But there can be 'non-arbitrary' fixed points in 'the spread' between 'lawless choice sequences'. 

It is a separate matter that there might be a Mathematical Eschaton when everything is revealed to be either law-like or else dictated by some 'Great Anarch' for whom Creation is but Simulation- a game fixed in advance- such that Random ever remains indistinguishable from pseudo-random a la Razbarov-Rudich. 

It seems 'absolute proofs'- even 'naturality'- is denied us- unless, as in Borges's epitaph, he did indeed enter the 'Thorgate' & sleeps now with Ulrikke. But, here in London, as April turns to May & I grow ineluctably older & stupider & in need of a nappy change, where else can I do so save between some such sterile 'Ardhanarishvar'? 







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