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Middle term

Index Middle term

In logic, a middle term is a term that appears (as a subject or predicate of a categorical proposition) in both premises but not in the conclusion of a categorical syllogism. [1]

8 relations: Categorical proposition, Logic, Main contention, Predicate (grammar), Premise, Subject (grammar), Syllogism, Term (logic).

Categorical proposition

In logic, a categorical proposition, or categorical statement, is a proposition that asserts or denies that all or some of the members of one category (the subject term) are included in another (the predicate term).

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Main contention

In both formal and informal logic, a main contention or conclusion is a thought which can be either true or false and is usually the most controversial proposition being argued for.

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Predicate (grammar)

There are two competing notions of the predicate in theories of grammar.

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Premise

A premise or premiss is a statement that an argument claims will induce or justify a conclusion.

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Subject (grammar)

The subject in a simple English sentence such as John runs, John is a teacher, or John was hit by a car is the person or thing about whom the statement is made, in this case 'John'.

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Syllogism

A syllogism (συλλογισμός syllogismos, "conclusion, inference") is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true.

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Term (logic)

In analogy to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact, in mathematical logic, a term denotes a mathematical object and a formula denotes a mathematical fact.

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Middle Term.

References

[1] https://en.wikipedia.org/wiki/Middle_term

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