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Weber, Keith; Alcock, Lara – Educational Studies in Mathematics, 2004
In this paper, we distinguish between two ways that an individual can construct a formal proof. We define a syntactic proof production to occur when the prover draws inferences by manipulating symbolic formulae in a logically permissible way. We define a semantic proof production to occur when the prover uses instantiations of mathematical…
Descriptors: Mathematical Logic, Validity, Mathematical Concepts, Case Studies