categorical syllogism
Quick Summary
A categorical syllogism is a form of logical argument that uses deductive reasoning to arrive at a conclusion based on two premises. Developed by Aristotle, it is a foundational concept in logic.
A categorical syllogism consists of three propositions: two premises and a conclusion. Each proposition is a "categorical" statement, meaning it relates two categories or terms. These propositions can be universal (e.g., "All A are B") or particular (e.g., "Some A are B"), and affirmative or negative. The validity of a syllogism depends on its logical form, not necessarily the truth of its premises. For example, "Every Greek is human. Every human is mortal. Therefore, every Greek is mortal" is a valid syllogism.12
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- syllogism
The traditional type is the categorical syllogism in which both premises and the conclusion are simple declarative statements that are constructed using only three simple terms between them, each term appearing twice (as a subject and as a predicate): “All men are mortal; no gods are mortal; therefore no men…
Read MoreThe traditional type is the categorical syllogism in which both premises and the conclusion are simple declarative statements that are constructed using only three simple terms between them, each term appearing twice (as a subject and as a predicate): “All men are mortal; no gods are mortal; therefore no men…
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thoughtDeductionIn a categorical syllogism the premises and the conclusion state that some or all members of one category are or are not members of another category, as in the following examples:
Read MoreIn a categorical syllogism the premises and the conclusion state that some or all members of one category are or are not members of another category, as in the following examples:
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