O termo lógico ou lógica e o seu desenvolvimento a partir da lógica matemática

The text is an excerpt from a Scientific Initiation research project, which aimed to point out the importance of logical mathematical reasoning as a way of teaching, studying and learning mathematics from childhood. For this excerpt, the conception of the term logical or logic is discussed, concerning the meaning usually attributed by people in their everyday speeches and the meaning of these terms according to the perspective of Mathematical Logic. In other words, the importance of logical reasoning for people's everyday lives. The question that guides the work is: why do people talk so much about logic, or logic, if most of them do not know the principles of logic or have never made a detailed study of its philosophical or mathematical origin? Methodologically, the research is characterized as bibliographic, since this resides in the fact that it allows the researcher to have broad knowledge about the object of investigation, since it provides contact with what has already been produced on the subject under study. The results of the research indicated that the term logical or logic, although used by people who do not master the rules and principles of Mathematical Logic, still use them to express consensus or dissent on speeches made in everyday conversation,and knowledge of Mathematical Logic, as a science, although not the only knowledge that sharpens the development of logical reasoning, is a very promising field for this.