Visual Methods to Validate Arguments and Semantic Analysis

Abstract

In this paper I will present a visual method that I have created to demonstrate the validity of propositional arguments and predicates, based on the traditional Venn diagrams. This idea was born after becoming aware of how useful visual methods are in other scientific fields, such as geometrical representations of arithmetic and algebraic concepts. This method illustrates the relationship between propositional logic, predicate logic and set theory, and it can be used to explain linguistic semantic concepts such as synonymy, antonymy, hyponymy, entailment, paraphrases, contradiction and lexical substitution.