Back to “Reasoning”

Is rigor always strictly related to precision and accuracy? This is a fundamental question in the realm of Fuzzy Logic; the first instinct would be to answer in the positive, but the question is much more complex than it appears, as true rigor is obtained also by a careful examination of the context, and limiting to a mechanical transfer of techniques, procedures and conceptual attitudes from one domain to another, such as from the pure engineering feats or the ones of mathematical logic to the study of human reasoning, does not guarantee optimal results. Starting from this question, we discuss some implications of going back to the very concept of reasoning as it is used in natural language and in everyday life. Taking into account the presence—from the start—of uncertainty and approximation in one of its possible forms seems to indicate the need of a different approach from the simple extension of tools and concepts from mathematical logic.