Summary in Greek: Αυτό το άρθρο για τη «Λογική των Πολλαπλών Μορφών» παρουσιάζει το «ψευδο-αξίωμα » («Έν το Παν«), που ορίζεται «κατασκευαστικά» (παρομοίως με τον… Οδυσσέα Ελύτη) μέσω συνένωσης όλων των Σχετικών Μορφών.
Summary in English: This article about «Multiple Form Logic» presents the «Pseudo-axiom 1» («All is One»), defined constructively (in a similar way as by Odysseus Elytis) as the result of unifying all Relative Forms.
«The One and the Absolute constructed by our Minds, is a result of the Many and Multiple (things) unified by our Perception».
This statement, quite reasonable for anyone with… common sense, has been (conveniently) forgotten by many modern Greek admirers of Elytis’ poetry. The reason for this forgetfulness is simple: -A «national poet», supposedly also a Christian believer in «the One» or the «Absolute», cannot be reasonably or honourably imagined (in certain people’s minds) as a constructivist (constructivism being regarded as an evil «globalist» philosophy by certain Greek conservative Christian intellectuals).
However, this aphorism was not the only one, by Elytis; some of his poems contained lines with similar «heretical» (constructivist) meanings.
E.g. in his tribute to the Muse, «Maria Nefeli« (Greek edition, page 106). The translation is mine:
My pale face -yes- and longish hair, magicians know too well;
About these they talk; the virgin, the one whom heavens sent
About she who said in Peace to us; she who was so blessed:
Beware be aware and bear in mind
The Many forge The One…
(«Maria Nefeli», Greek edition, page 107)
Listen to the word of The Virgin
The One forges the Many…
These poems are not mere coincidences: There is more evidence proving that Odysseus Elytis was quite different than the «National Christian» stereotype, often projected onto him by many modern Greek readers; on the contrary, he was a self-styled heretic, whose beliefs were expressed in many other poems too, e.g. «The Primal Paradise» (English translation here; streaming recorded recitation in English here).
Well, in Multiple Form Logic, this «constructivist philosophy» (of a poet who was commonly regarded as an idealist, rather than a constructivist) is applied very precisely, by (literally) constructing «Axiom 1», now called «Pseudo-Axiom 1» («pseudo» because it is not given, but constructed) in the following way:
Let there be a symbol, e.g. «1», which stands for the Union of the Totality of All Possible Forms in the universe.
Let there be any symbol, e.g. «X», which denotes any Form inside the universe.
Then the Union of «1» with «X» (bearing in mind that «1» by definition already contains everything) must be identical to «1» (itself).
Meta-Assumption 1: To perceive is to distinguish; To distinguish is to perceive.
Constructive Side-Effect 1 of Pseudo-Axiom 1, together with Meta-Assumption 1:
- Suppose that (given «1») we wish to examine the value of the distinction «1/1», which distinguishes Everything (i.e. «1») from itself (i.e. everything, «1»).
- However, Everything does not (and cannot) differ from- (or be distinguished from-) Everything.
- Hence, «1/1», the difference or distinction between Everything («1») and (again) Everything («1») is necessarily non-existent, or Void (i.e. absence of distinction):
i.e. 1/1 = 0.
(where «0» stands for void or non-distinction; it is syntactic sugar for nothing written in its place).
Note that the above «side-effect 1» is based heavily on «Meta-Assumption 1» ( that «To perceive is to distinguish; To distinguish is to perceive»).
In fact, the «non-distinction between Perception and Distinction», also leads, quite naturally, to the Second Axiom of Multiple Form Logic (of which, «Side-Effect 1» can be regarded as a special instance).
In reality, the Second Axiom is not always necessarily valid; Other Boundary Logic systems do exist (and have produced many useful results) where this axiom does not hold and where self-reference or self-application of a distinction to itself is treated as an «infinite regress«, often called an «imaginary truth value«, rather than as a constant result (such as void).