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Which Notion of Implication Is the Right One? From Logical Considerations to a Didactic Perspective.

Durand-Guerrier, Viviane – Educational Studies in Mathematics, 2003
Summarizes Tarski's semantic truth theory to clarify different aspects of implication. Extends the classical definition of implication as a relationship between propositions to a relationship between open sentences with at least one free variable. Analyzes two problematic situations and the presentation of some experimental results from research…
Descriptors: Cognitive Processes, Higher Education, Logical Thinking, Mathematics Education