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Subalternation [1] [2] is an immediate inference which is only made between A (All S are P) and I (Some S are P) categorical propositions and between E (No S are P or originally, No S is P) and O (Some S are not P or originally, Not every S is P) categorical propositions of the traditional square of opposition and the original square of opposition. [3]
Subalternation is a relation between the particular statement and the universal statement of the same quality (affirmative or negative) such that the particular is implied by the universal, while superalternation is a relation between them such that the falsity of the universal (equivalently the negation of the universal) is implied by the ...
An immediate inference is an inference which can be made from only one statement or proposition. [1] For instance, from the statement "All toads are green", the immediate inference can be made that "no toads are not green" or "no toads are non-green" (Obverse).
Subalternation, going from a universal proposition to a particular proposition in logic "A Subaltern", the author listed in William Cobbett's "The Soldier's Friend"
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science.Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language.
A Latin phrase meaning "which was to be demonstrated", traditionally used at the end of a mathematical proof or logical argument to signify its completion. quotation The practice of repeating words or text from another source, often indicated in writing by quotation marks.
This diagram shows the contradictory relationships between categorical propositions in the square of opposition of Aristotelian logic.. In traditional logic, a contradiction occurs when a proposition conflicts either with itself or established fact.
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