Double positive lead to double negative, both leads to positive and negative thus synthesis.
Example:
The bluest blue necessitates a "not blue" as blue subject to grades necessitates a lesser and lesser blue, therefore negative blue.
((B)B) -> (-B)
This antithetical statement negates itself into a thetical statement. The not bluest not blue in turn negates itself into blue as all not blue colors when negated leave us blue.
((-B)-B) -> (B)
The inversion of a double positive to a double negative results in both positive and negative, or thesis and antithesis.
Blue and Not Blue results in a color that is both blue and not blue thus we end with a thetical statement in itself and an continuation of the antithetical statement from the prior statement. Synthesis allows for a continuum of the thesis and antithesis.
Example:
((B)<-->(-B)) --> R
All thetical propositions are synthetic by nature, and all antithetical propostions in themselves are thetical.
Hegelian dialectics can be observed inversely as (synthetic) --> (Thesis & Antithesis) where synthetic propositions grounded in double positive and double negation (intuitive logic) necessitate that intuition logic comes prior to aristotelian identity properties as the inversion of one propostion into many is the law of excluded middle.
Considering all propositions are inherent synthetic, they are irrational as they are grounded in continuums. The proposition as a continuum becomes rational when it breaks into relative parts, thus irrational statements become rational when they are both composed of composing irrational statements.