Categorical logic which was first discovered by Aristotle is a logic that seeks standards that govern categorical arguments (Herrick, 2011). For example, we say that all mammals breastfeed their young ones and that all human beings are mammals. Thus, we can come up with a conclusion that all human beings breastfeed their young ones. This is an argument drawn from a categorical logic since it is based on the fact that the human beings lie in the category of mammals which breastfeed their young ones. Categorical logic is vital in helping us understand the world. Through classifying things into different categories according to certain similarities that they share, individuals are able to organize information and, therefore, absorb it in a better way.
Charles Babbage, who is referred to as the father of computer was an Aristotelian logician (Halacy, 1970). One of the logic he used to make the computer was the categorical logic. This type of reasoning is what is used to organize the information in computers. For example, a computer can be used to classify the exam results of students and categorize them into passed and failed categories. For instance, if the pass mark is 50% and a student named John gets 78%, then John will be in the category of the students who have passed. Another example: if the pass mark is 50% and William gets 49%, then William has failed.
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Categorical logic is applied in mathematics, physics, philosophy, computer science and in logics. For mathematics, categorical logic helps in organizing previous mathematical experiences in new ways that help reveal new connections and structures. In computer science, categorical logic helps in the programming of machines. For logicians, it helps in interpretations, and for physicists, it helps in the formulation of physical theories in a structural form (Abramsky & Tzevelekos, 2015).
References
Abramsky, S. & Tzevelekos, N. (2015). Introduction to Categories and Categorical. Retrieved from Logic http://www.cs.ox.ac.uk/people/bob.coecke/AbrNikos.pdf
Halacy, D. S. (1970). Charles Babbage, Father of the Computer . Crowell-Collier Press
Herick, P. (2011). A Survey of the Main Branches of Logic. Retrieved from http://www.manyworldsoflogic.com/categoricalLogic.html
