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This chapter retraces the genealogical development of deduction in the Latin and Arabic medieval traditions and in the early modern period, and finally the emergence of mathematical logic in the nineteenth century. It is shown that dialogical conceptions of logic remained pervasive in the Latin medieval tradition, but that they coexisted with other, non-dialogical conceptualizations, in part because of the influence of Arabic logic. In the modern period, however, mentalistic conceptions of logic and deduction became increasingly prominent. The chapter thus explains why we (i.e. twenty-first-century philosophers) have by and large forgotten the dialogical roots of deduction.
This chapter talks about systematization of a particular approach to modeling the mind: declarative computational cognitive modeling. The goal of computational cognitive modeling and the goal of declarative computational cognitive modeling and systematization in logic-based computational cognitive modeling (LCCM) are to understand the kind of cognition distinctive of human persons by modeling this cognition in information processing systems. LCCM is made based on a generalized form of the concept of logical system as defined rather narrowly in mathematical logic. This chapter shows how the problems can be solved in LCCM in a manner that matches the human normatively incorrect and normatively correct responses returned after the relevant stimuli are presented. This chapter explains LCCM as a formal rationalization of declarative computational cognitive modeling. It also presents the attempt to build computational simulations of all, or large portions of, human cognition, on the basis of logic alone.
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