In Aristotelian logic, dictum de omni et nullo (Latin: "the maxim of all and none") is the principle that whatever is affirmed or denied of a whole kind K may be affirmed or denied (respectively) of any subkind of K. This principle is fundamental to syllogistic logic in the sense that all valid syllogistic argument forms are reducible to applications of the two constituent principles dictum de omni and dictum de nullo.[1]
^John Stuart Mill (15 January 2001). System of Logic Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence and the Methods of Scientific Investigation. Elibron.com. p. 114. ISBN 978-1-4021-8157-3. Retrieved 6 March 2011.
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In Aristotelian logic, dictumdeomnietnullo (Latin: "the maxim of all and none") is the principle that whatever is affirmed or denied of a whole kind...
propositions have also been mentioned as laws of thought, including the dictumdeomnietnullo attributed to Aristotle, the substitutivity of identicals (or equals)...
both Caesar and Cicero). sine ūllā dubitātiōne "without any hesitation" nūllō modō "in no way" aliō locō "in another place" illa altera pars ōrātiōnis...
attack Hannibal, with his soldiers in close formation' quod Īdibus fuerat dictumdē agrō Campānō āctum īrī, nōn est āctum (Cicero) 'as for what had been said...
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