In this document, the de nitions of implication, contrapositive, converse, and inverse will be discussed and examples given from everyday English. The statement \A implies B" can be written symbolically …

From our analyses of the meaning of necessary propositions, and of implication, it follows that " the real meaning of implica- tion " is a fiction. There is no single " proper " meaning of implication, but two …

Once regarded as unruly and suspiciously non-logical (Horn 1996: 299), pre-supposition and implicature have risen, over the past few decades, to a pre-eminent place in semantics and pragmatics.

Implication Conditional Statement → q (p implies q) (if p then q) is the proposition that is false when p is true and

An alternative proof strategy for implication: To prove an implication, prove instead the equivalent statement given by its contrapositive.

Equivalence is to logic as equality is to algebra. Propositions r and s generated by S are equivalent if and only if r $ s is a tautology. We denote this as r , s. Every contradiction is equivalent to 0. Though …

This study is a part of our thesis on the mathematical concept of implication. It follows and supplements the study presented at PME 26. We present three points of view on the implication, a mathematical …