Tetravalent Logic (part 1) (original) (raw)
conscience sociale, 2017
Abstract
All modern knowledge is based on logic. With a few rare exceptions - technical apparatus using fuzzy logic or states of quantum physics - all natural and human sciences (including Western philosophy since at least Plato) are based on classical logic, establishing the veracity or falsity of a proposal. However, classical logic has limitations that have been known since its inception. These situations, which can be expressed in a few simple sentences, are negligently classified among the paradoxes. The consequences of refusing to deal with these paradoxical situations are most critical, since this gap forces us to blindly focus on our understanding of the world and ourselves. Since no one can ignore the fact that the modern world is going through an ultimate crisis, any contribution to broadening the scope of possibilities is welcome, and indeed, we might even say, necessary. This is the purpose of this article. We will begin with a brief history of logic, going back before the appearance of classical logic, where we will see in passing that logic is born of metaphysics. This will lead us to an interposed dialogue between Heraclitus, Aristotle, Granger and Guénon. We will then propose a formalization of a tetravalent logic with its truth tables, after having explained its necessity (part 2). We will end by applying the framework of this logic to the semantics of some attributes of the manifested and the unmanifested, where we will find each time the conceptions of Tradition (part 3).
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