====== Modus Cesare ======
Form of a [[glossary:syllogism|syllogism]] based on the [[logic:inferences:modus_celarent:index|Modus Celarent]], in which a negative [[glossary:universal_quantification|universal]] proposition is inferred from positive and negative universal premisses.
> No P is M.
> All S are M.
> Therefore, no S is P.
For example:
> No circle is a rectangle.
> All squares are rectangles.
> Therefore, no square is a circle.
//Modus Cesare// is the stronger form of the [[logic:inferences:modus_celarent:modus_cesaro|Modus Cesaro]], which only infers an existential conclusion.
===== Name =====
The name "Cesare" is a [[wp>Mnemonic|mnemonic]] term that helps to remember the most important characteristics of this mode: The "C" at the beginning indicates that it is related to the [[logic:inferences:modus_celarent:index|Modus Celarent]], the "e" and "a" indicate the negative and affirmative [[glossary:universal_quantification|universal]] statements in the premisses and the negative //universal// conclusion.
===== See also =====
* [[logic:inferences:modus_celarent:index|Modus Celarent]]
* [[glossary:syllogism|Syllogism]]
* [[glossary:universal_quantification|Universal Quantification]]
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