Types of Arguments and Syllogisms Flashcards

Flashcards covering key terms and concepts related to deductive, inductive, and abductive reasoning, as well as syllogism structures and logical rules.

Deductive Argument

An argument operating on the principle of logical necessity, aiming to provide conclusions that follow necessarily from the premises such that if the premises are true, it is logically impossible for the conclusion to be false.

Inductive Argument

An argument in which the premises make the conclusion probable rather than logically necessary, often establishing what is likely to be true given limited observations.

Abductive Argument

An argument focusing on finding the best or most plausible explanation for a given observation or phenomenon by reasoning from evidence to a likely hypothesis.

Syllogism

A form of deductive reasoning used to infer conclusions from a set of premises, typically comprising a major premise, a minor premise, and a conclusion.

Categorical Syllogism

A common type of syllogism that categorizes subjects into groups to draw conclusions based on shared properties, following the form: All $A$ are $B$, $C$ is $A$, therefore $C$ is $B$.

Conditional Syllogism

A syllogism (also called a hypothetical syllogism) whose major premise states an if-then condition: If $A$ is true, then $B$ must also be true.

Disjunctive Syllogism

A syllogism that presents mutually exclusive alternatives in its major premise and uses a minor premise to eliminate one alternative, concluding that the remaining option is true.

Enthymeme

A rhetorical variant of a syllogism (often called a rhetorical syllogism) that is implied or incomplete, usually leaving one of its premises unstated.

Modus Ponens

A rule of inference in propositional logic following the form: $A$ implies $B$, and $A$ is known to be true; therefore, $B$ is also true.

Modus Tollens

A rule of inference in propositional logic (also known as denying the consequent) following the form: $A$ implies $B$, and $B$ is known not to be true; therefore, $A$ is also not true.

Deductively Valid Argument

An argument structured so that the conclusion necessarily follows from the premises, ensuring that if all premises are true, the conclusion must be true.

Ockham's Razor

The principle stating that the simplest explanation with the fewest assumptions is generally preferred as the most plausible account.

Argument from Analogy

A type of inductive argument where, because two things are similar in one respect, it is inferred that they are likely to be similar in another respect.

Major Premise

In a categorical syllogism, the statement containing the predicate of the conclusion.

Minor Premise

In a categorical syllogism, the statement containing the subject of the conclusion.

Top-Down Logic

Another term for deductive reasoning, which typically uses general premises to arrive at specific conclusions.

Bottom-Up Logic

Another term for inductive reasoning, which typically uses specific premises to arrive at general conclusions.

Syllogizesthai

The Greek word from which the term syllogism originates, usually translated as to infer, to count, or to reckon.