Co-Objectivity and Co-Semioticity in Language-Linguistic Observation of Autism: The Dual Knowledge Space

In this article we pursue the aim to define (and we prove) a model of quantized co-observability and co-objectivity of the language-linguistic knowledge space proper to framing (typical), antiframing (autistic) duality along with the proper space of co-semioticity (explanability/observability). Thus, a first distinction between typified propositional duality of text/field (relying on ACE sequences) and the underlying tensegrity of both text/its individuation (text/individual structures) provides an inviariant model of balance grounding in the reducibility of mathematical spaces (propositional rational cuts as duality, Dedekind reals on predicative recursion...) and the widening of their epistemic-mathematical assumptions. From understandable/non-understandable duality of sentences (syntax/semantics), a double verifiability of algebraic stress on tensegrity frameworks and its graph choosability verifies an odd/even graph of in-out polynomially/non-polynomially complete setting of co-observability/co-objectivity in phase with brain-consciousness mathematical spaces for language (higher and lower). Secondly, thanks to the hypothesis of epistemic numbers and modularity, we advance the concept of brain-consciousness semiome throughout distributional tests leading to establish maps of scientific (object-based) and semiotic (explanability/interpretability) directions. Henceforth, co-observation/co-objectification of language-linguistic autism proposes a robust and nuanced epistemic-mathematical frame aware of the overlapping issues dealt with from other linguistic and non-linguistic methodologies on autism and its language conjecture.