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Answer for the clue "Visual aid to reasoning ", 14 letters:
symbolic logic

Word definitions for symbolic logic in dictionaries

WordNet Word definitions in WordNet
n. any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity [syn: mathematical logic , formal logic ]

Wiktionary Word definitions in Wiktionary
n. (context logic English) Synonym for mathematical logic (''obsolescent'')

Usage examples of symbolic logic.

Counting on fingers, arithmetic, general math, algebra, higher math, symbolic logic, and so on, in order.

The prof ratiocinated on such a rarefied level that poor Finster was totally out of his league, lost in a labyrinth of symbolic logic, gestalts, alatory subintellections, and other horrors.

Braziller, that fearsome old harpy who seldom spoke in any language but logarithms and symbolic logic.

Leibniz arguably was the founder of symbolic logic and he worked with computing machines.

Statements are broken down into the symbolic logic equivalents and those in turn converted to perforation patterns.