Premise (logic and argumentation)
A premise is a proposition offered to support a conclusion. This article explains its role in reasoning, common types, historical background, practical examples, and the distinction between validity and soundness.
Overview
A premise is a proposition put forward to support a conclusion. In ordinary language it can be described as a foundational statement or claim that an argument uses to justify a further claim. Careful discussion separates the content of premises from the logical structure that connects them to a conclusion: both the truth of the premises and the form of the argument affect whether a conclusion is justified.
Characteristics and types
Premises vary by scope and function. They may be explicit or implicit, general or particular, and categorical or conditional. Some common distinctions include:
- Explicit vs implicit: stated premises are explicit; implied assumptions are often uncovered through analysis.
- Descriptive vs normative: premises can report facts or recommend actions and values.
- Defeasible vs deductive: some premises support conclusions tentatively (inductive or defeasible), while others aim to guarantee conclusions in deductive reasoning.
History and development
The idea of premises is central to classical logic and has roots in ancient philosophical traditions such as those of Aristotle, who analyzed how premises combine to produce conclusions in syllogisms. Over centuries logicians have refined distinctions between premises, assumptions, axioms, and hypotheses to suit mathematics, rhetoric, law, and empirical science.
Uses and examples
Premises are used across disciplines. In mathematics and formal logic they appear as axioms or assumptions; in science they appear as background hypotheses; in law and everyday argument they are the factual or legal claims that support conclusions. Example (deductive): "All humans are mortal" (premise); "Socrates is a human" (premise); therefore "Socrates is mortal" (conclusion). The persuasiveness of such arguments depends on both the truth of the premises and the validity of the inferential move.
Distinctions and notable facts
Two commonly discussed notions are validity and soundness. An argument is valid when the conclusion follows logically from its premises; it is sound when it is valid and its premises are true. Identifying hidden premises is a frequent task in critique: revealing what is assumed can change an argument's assessment. In practical contexts, premises are often probabilistic or contested, so evaluators must consider sources, definitions, and possible defeaters.
Questions and answers
Q: What is a premise?
A: A premise is a statement that an argument uses to justify its conclusion.
Q: What does the proof of a conclusion depend on?
A: The proof of a conclusion depends on the truth of the premises and the validity of the argument.
Q: What does an argument claim?
A: An argument claims that a premise will justify a conclusion.
Q: Can a conclusion be proven without the proof of its premises?
A: No, the proof of a conclusion depends on both the truth of the premises and the validity of the argument.
Q: What is the importance of the truth of the premises in an argument?
A: The truth of the premises is important because it is what the argument uses to justify its conclusion.
Q: Why is the validity of an argument important?
A: The validity of an argument is important because it relates to the structure or form of the argument and whether it logically follows from the premises to the conclusion.
Q: What determines the validity of an argument?
A: The validity of an argument is determined by its structure or form and whether it logically follows from the premises to the conclusion.
Related articles
Author
AlegsaOnline.com Premise (logic and argumentation) Leandro Alegsa
URL: https://en.alegsaonline.com/art/78756