logic

Definition

Argument

An argument is a collection of formulas called premises together with a formula called the **conclusion.

Goodness

Definition

Good Argument

A good argument is a valid argument whose premises are true.

In other words, a good argument is not only logically correct, but also starts from acceptable assumptions.

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Argument vs Formula

A formula is a single well-formed expression. It can be evaluated as true or false under an interpretation.

An argument is not a single formula. It is a structure made of several formulas: the premises and the conclusion.

So validity, contradiction, and satisfiability are properties of formulas, while validity, goodness, and soundness are properties of arguments.