We use our minds for many different purposes, but the most significant of these is to extend our knowledge and understanding of the world. While there is no precise formula for accomplishing this, it ...

We report results from an analysis of responses to a written question in which high-attaining students in English schools, who formed part of a longitudinal nationwide survey on proof conceptions, ...

Fuzzy implication functions have emerged as integral components in the field of fuzzy logic, extending the classical concept of implication into a framework that can manage partial truths. These ...

Aroused by Friedrich A. Hayek's controversial "Read to Serfdom," which he brands an "filled with every fallacy known brands an "filled with every fallacy known to the study of logic," Herman Finer, ...

We introduce several restricted versions of the structural rules in the implicational fragment of Gentzen's sequent calculus LJ. For example, we permit the applications of a structural rule only if ...