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CURRENT ISSUE:

The Fluttering of Autumn Leaves: Logic, Mathematics, and Metaphysics in Florensky’s The Pillar and Ground of the Truth

author: Bruce Foltz,
Difficulties in understanding Pavel Florensky’s work The Pillar and Ground of the Truth are daunting due in large part to its methodical transgressing of identities: between disciplinary boundaries (his work drawing freely from philosophy, theology, logic and mathematics, art history, linguistics, and philology); between literary identities, as he fluidly shifts between literary criticism, logical proof, poetic discourse, and philosophical dialectics in his own writing; as well as in collapsing identities between concepts that appear to be binary and incompatible.

On Contradiction in Orthodox Philosophy

author: Michael Craig Rhodes,
Orthodoxy sometimes appears to lack a respectable form of logical reasoning. This is because objective mystery is so central, and because contradiction is, therefore, a methodological necessity. However, the belief system also rejects explosion. Thus, on the one hand, the law of non-contradiction is violated, and, on the other hand, it is respected. In terms of thinking about Orthodox thinking, this is the fundamental issue, namely that logical reasoning in Orthodoxy is paraconsistent. That is what we examine in this essay.

Logic in Opposition

author: Fabien Schang,
It is claimed hereby that, against a current view of logic as a theory of consequence, opposition is a basic logical concept that can be used to define consequence itself. This requires some substantial changes in the underlying framework, including: a non-Fregean semantics of questions and answers, instead of the usual truth-conditional semantics; an extension of opposition as a relation between any structured objects; a definition of oppositions in terms of basic negation. Objections to this claim will be reviewed.