Nothing seems more possible to me than that people some day will come to the definite opinion that there is no copy in the… nervous system which corresponds to a particular thought, or a particular idea, or, memory.WittgensteinIn a recent essay it was emphasized that brain and mind appear to the mind as complementary and reciprocally recursive domains of a hermeneutic circle (Fischer, 1987). An outstanding and not yet recognized feature of this hermeneutic circle is that interpretation within this circle (...) is not rule-governed and hence appears self-organized: individual features of the world (or the brain) become intelligible in terms of the whole context (of the mind)… while the entire context becomes intelligible through individual features (or brain functions). How, or from where then is significance arising? (shrink)

Hilbert arithmetic in a wide sense, including Hilbert arithmetic in a narrow sense consisting by two dual and anti-isometric Peano arithmetics, on the one hand, and the qubit Hilbert space (originating for the standard separable complex Hilbert space of quantum mechanics), on the other hand, allows for an arithmetic version of Gentzen’s cut elimination and quantum measurement to be described uniformy as two processes occurring accordingly in those two branches. A philosophical reflection also justifying that unity by quantum neo-Pythagoreanism links (...) it to the opposition of propositional logic, to which Gentzen’s cut rule refers immediately, on the one hand, and the linguistic and mathematical theory of metaphor therefore sharing the same structure borrowed from Hilbert arithmetic in a wide sense. An example by hermeneutical circle modeled as a dual pair of a syllogism (accomplishable also by a Turing machine) and a relevant metaphor (being a formal and logical mistake and thus fundamentally inaccessible to any Turing machine) visualizes human understanding corresponding also to Gentzen’s cut elimination and the Gödel dichotomy about the relation of arithmetic to set theory: either incompleteness or contradiction. The metaphor as the complementing “half” of any understanding of hermeneutical circle is what allows for that Gödel-like incompleteness to be overcome in human thought. (shrink)

Certain lives are transcribed like musical scores that compose themselves in a transparent register and whose traces—memories and written works—remain present, long-lasting or eternal. In a way, biography consists in deciphering them, then recomposing them through some process—condensation, for example—in modifying chronological time into writing-reading time or in shifting, regrouping certain facts or certain parameters. In some cases we discover that they give a dynamic and structure homologous or very near to those of narratives, epics or marvelous tales. The life (...) of Lou Andreas-Salomé belongs to these cycles that are, in some respects, exceptional. (shrink)

Parallogic models the relationship between mind and context. It, as does the excerpt above, suggests that systems of logic are context specific and therefore parallel. This model points out that perceived departures in mental process, reasoning, may be more apparent than real. It also suggests a new way to conceive of mental illness by separating breakdowns in mental process from shifts in mental process.