Deductive implication is the central concept in pure logic, but there are many cases in which P deductively implies C which strike most people as peculiar. For example, ...

The authors also point out that the use of implication is quite common among those who study formal logic, but is largely ignored by those designing logic schemes, who focus on what's easy to do ...

The Association for Symbolic Logic is an international organization supporting research and critical studies in logic. Its primary function is to provide an effective forum for the presentation, ...

Inductive Implication: A logical relation between premises and conclusion in which it is very unlikely for the premises to be true and the conclusion false. Inductive Strength: A measure of the degree ...

For example, we permit the applications of a structural rule only if its principal formula is an implication. We investigate cut-eliminability and theorem-equivalence among various combinations of ...

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 ...