A quick survey of literature:
Goel V. Anatomy of deductive reasoning. Trends Cogn Sci. 2007 Oct
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2685028/
García-Madruga JA, Gutiérrez F, Carriedo N, Moreno S, Johnson-Laird PN. Mental models in deductive reasoning. Span J Psychol. 2002 Nov
Prado J, Chadha A, Booth JR. The brain network for deductive reasoning: A quantitative meta-analysis of 28 neuroimaging studies. J Cogn Neurosci. 2011 Nov
tells us:
1. Neuroscience uses a lot of imprecise terms: "involved in", "related to", "region", "assumed".
2. Logical processing occurs, not in a single brain structure, but through various combinations of disparate brain regions.
Accepted that 1. indicates that it is early days, and Science may yet answer my questions. However, I think, such inductive processes will not easily get to deductive certainty. And from 2. we see that our brains do not handle logic in the same (material) way as a computer.
In our species' pre-semantic past we could not learn by deduction, we had to acquire language in order to start teaching each other... also see related:
Based on evolution, do we arrive at deductive principles inductively?
Similarly infants learn by induction until they have learned enough to benefit from deductive learning {or they become teenagers}
Now Either: We are born with a capacity for Deduction; but with no innate brain structure to support it: Where does it come from?
Or: We gain access by non-deductive means (emergence maybe?). Does this constructivist approach entail that we brought Deduction into the Universe?
Question: Is there literature on the metaphysical origin of deductive forms?
Or any references on multiple intersecting Ontologies?