“Sequent” is a term with multiple meanings depending on the context in which it is used. In general, it refers to something that follows or comes after another thing.
In logic, particularly in the context of mathematical logic, a “sequent” is a formalized statement that consists of a set of hypotheses or premises followed by a conclusion. It represents a logical argument or inference.
The history of the term can be traced back to the development of symbolic logic in the late 19th and early 20th centuries by logicians like Gottlob Frege, Bertrand Russell, and Alfred North Whitehead. They sought to formalize logical reasoning using symbols and rules, and the notion of a sequent became fundamental to this formalization.
Synonyms for “sequent” include “consequent,” “subsequent,” “following,” or “successive.” These words convey the idea of something that comes after another thing in a sequence or order.
Antonyms for “sequent” could include “preceding,” “prior,” or “antecedent,” which refer to something that comes before another thing in a sequence or order.
In conclusion, “sequent” is a term with a specific meaning in logic, referring to a statement or inference that follows logically from a set of premises. Its usage has been prominent in the development of formal logic and continues to be relevant in the study of mathematics, philosophy, and computer science.