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| ====== Modus Darapti ====== | ====== Modus Darapti ====== |
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| Form of a [[glossary:syllogism|syllogism]] based on the [[logic:inferences:modus_darii:index|Modus Darii]], in which an affirmative [[logic:glossary:existential_quantification|existential]] proposition is inferred from two affirmative [[glossary:universal_quantification|universal]] premisses. This form has an additional existential requirement. | Form of a [[glossary:syllogism|syllogism]] based on the [[logic:inferences:modus_darii:index|Modus Darii]], in which an affirmative [[glossary:existential_quantification|existential]] proposition is inferred from two affirmative [[glossary:universal_quantification|universal]] premisses. This form has an additional existential requirement. |
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| <html><aside><figure><h3>Modus Darapti</h3></html>{{modus_darapti.svg?nolink|Modus Darapti}}<html><figcaption><a href="/app/syllogism-finder/index_en.html#AA3I">Typ <code>AAI</code>, Form <code>3</code></a><br /></html>Parent: [[logic:inferences:modus_darii:index|Darii]]<html></figcaption></figure></aside></html> | <html><aside><figure><h3>Modus Darapti</h3></html>{{modus_darapti.svg?nolink|Modus Darapti}}<html><figcaption><a href="/app/syllogism-finder/index_en.html#AA3I">Typ <code>AAI</code>, Form <code>3</code></a><br /></html>Parent: [[logic:inferences:modus_darii:index|Darii]]<html></figcaption></figure></aside></html> |
| <tr><td><span title="Therefore">∴</span> Some <i>polygons</i> are <i>rectangles</i>.</td></tr></tbody></table></html> | <tr><td><span title="Therefore">∴</span> Some <i>polygons</i> are <i>rectangles</i>.</td></tr></tbody></table></html> |
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| <html><p class="info-box"></html>* **Note:** When an //existential// conclusion is inferred from //universal// premisses, this requires an (implicit or explicit) [[logic:glossary:existential_import|existential import]], i.e. it must be proven that what the term refers to actually //exists//. In case of the //Modus Darapti// it is sufficient to prove existence for the //middle term// (<html><abbr title="middle term">M</abbr></html>), as this also implies existence of both <html><abbr title="minor term">S</abbr> and <abbr title="major term">P</abbr>.</p></html> | <html><p class="info-box"></html>* **Note:** When an //existential// conclusion is inferred from //universal// premisses, this requires an (implicit or explicit) [[glossary:existential_import|existential import]], i.e. it must be proven that what the term refers to actually //exists//. In case of the //Modus Darapti// it is sufficient to prove existence for the //middle term// (<html><abbr title="middle term">M</abbr></html>), as this also implies existence of both <html><abbr title="minor term">S</abbr> and <abbr title="major term">P</abbr>.</p></html> |
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| //Modus Disamis// is very similar to the modi [[logic:inferences:modus_darii:modus_datisi|Datisi]] and [[logic:inferences:modus_darii:modus_disamis|Disamis]], except that it is based on two //universal// statements in the premisses, rather than a //universal// and an //existential// statement each. | //Modus Disamis// is very similar to the modi [[logic:inferences:modus_darii:modus_datisi|Datisi]] and [[logic:inferences:modus_darii:modus_disamis|Disamis]], except that it is based on two //universal// statements in the premisses, rather than a //universal// and an //existential// statement each. |
| ===== Name ===== | ===== Name ===== |
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| The name "Darapti" is a [[wp>Mnemonic|mnemonic]] term that helps to remember the most important characteristics of this mode: The "D" at the beginning indicates that it is related to the [[logic:inferences:modus_darii:index|Modus Darii]], the two "a" and the "i" indicate that affirmative [[glossary:universal_quantification|universal]] and [[logic:glossary:existential_quantification|existential]] statements make up this form. | The name "Darapti" is a [[wp>Mnemonic|mnemonic]] term that helps to remember the most important characteristics of this mode: The "D" at the beginning indicates that it is related to the [[logic:inferences:modus_darii:index|Modus Darii]], the two "a" and the "i" indicate that affirmative [[glossary:universal_quantification|universal]] and [[glossary:existential_quantification|existential]] statements make up this form. |
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| ===== See also ===== | ===== See also ===== |
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| * [[logic:glossary:existential_import|Existential import]] | * [[glossary:existential_import|Existential import]] |
| * [[logic:glossary:existential_quantification|Existential quantification]] | * [[glossary:existential_quantification|Existential quantification]] |
| * [[logic:inferences:modus_darii:index|Modus Darii]] | * [[logic:inferences:modus_darii:index|Modus Darii]] |
| * [[glossary:syllogism|Syllogism]] | * [[glossary:syllogism|Syllogism]] |
