Argument

An argument is a structured way of presenting reasons to reach a logical conclusion. It consists of one or more premises, which are statements or propositions, directed toward a specific end. The primary goal of an argument is to provide justification, explanation, or persuasion for a particular way of thinking. In academic study, researchers often distinguish between "argument-as-product" and "argument-as-process." The product refers to the finished series of logical steps. The process, or argumentation, involves the actual crafting and delivery of those ideas.

There are three main perspectives used to study the process of argumentation. The logical perspective focuses on the formal structure of reasoning. This approach is essential to scientific fields like mathematics and computer science. The dialectical perspective views argument as a social tool used to resolve conflicts or differences of opinion between parties. Finally, the rhetorical perspective links an argument to its specific context. In rhetoric, the time, place, and the presence of an audience are vital for evaluating how an argument functions.

In the study of logic, arguments are categorized into formal and informal types. Formal arguments use symbolic formal languages rather than natural, everyday language. This is often referred to as mathematical or symbolic logic. Informal logic, however, focuses on argumentation within ordinary discourse. While formal logic emphasizes the mechanics of implication and inference, informal logic studies how arguments are constructed in daily life. Sometimes, the rational structure of an informal argument is implicit. This means the relationship between premises, warrants, and conclusions is not immediately visible and requires careful analysis to make explicit.

Logical arguments are divided into two primary types: deductive and inductive. A deductive argument asserts that the conclusion is a logical consequence of the premises. If the premises are true, the conclusion must follow with absolute certainty. Because they preserve truth from the premises to the conclusion, they are called "truth-preserving" arguments. For example, if A equals B and B equals C, then A must equal C. This is a necessary truth that holds in all possible worlds.

Deductive arguments are evaluated based on validity and soundness. Validity refers to the logical form of the argument. An argument is valid if it is impossible for the premises to be true while the conclusion is false. Validity does not guarantee truth; a valid argument can have false premises. For instance, if one claims bats can fly and all flying creatures are birds, the conclusion that bats are birds is logically valid despite being factually false. A sound argument is a higher standard. An argument is sound only if it is valid and all its premises are actually true.

Inductive arguments operate differently by focusing on probability rather than necessity. An inductive argument suggests that the truth of the conclusion is supported by the premises, but it does not guarantee it. These are often used for making predictions about an uncertain future. For example, one might argue that because a military budget is currently the largest, it will likely remain so for ten years. Inductive arguments are described as being either strong or weak. A strong argument makes the conclusion highly probable if the premises are true.

To reach the highest level of reliability, an inductive argument must be cogent. A cogent argument is one that is both strong and possesses premises that are actually true. While deductive logic relies on validity, inductive logic relies on this concept of cogency. Some complex reasoning, such as transcendental arguments, uses "indispensability claims." These move from a starting point to a conclusion by showing that a certain condition is indispensable to a specific feature. This demonstrates how various logical frameworks allow humans to explore new possibilities for thinking and acting.