Contraposition


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Contraposition

 

the law of traditional logic that holds that if from a certain proposition A there follows the proposition B, then from the negation of the proposition B follows the negation of the proposition A (or in the language of conditional propositions: from the truth of the proposition “If A, then B” follows the truth of the proposition “If not B ?, then not- A”).

REFERENCES

Church, A. Vvedenie v matematicheskuiu logiku. Moscow, 1960. (Translated from English.)
Tarski, A. Vvedenie v logiku i metodologiiu deduktivnykh nauk. Moscow, 1948. (Translated from English.)
References in periodicals archive ?
Also, the contraposition of both principles emphasizes the importance of inductive knowledge of universal moral law, obtainable by common moral knowldege.
18) Strikingly enough, the celebration of the intimate mother-daughter relationship and female bonding makes "Polymnia Sacred Poetry" another version of the Homeric Hymn to Demeter and a Korean American feminist contraposition to the fundamentally androcentric Demeter-Persephone myth in the Theogony.
Therefore, the work of Albertanus presents itself as a study of the individual, a careful reflection on the essence of humanity not in contraposition to the divine, yet distinct from it in method and in epistemological rules.
Such scenes are constructed with reference to social absolutes so that their definition is emphatic to the extent that the contraposition of distinct emotions that inform the action is clear-cut, frank and stark.
Rubin reads Miqdad's statement as a contraposition of the "bad Israelites" to the "good Arabs," a reading along nationalist or ethnic lines that is anachronistic.
10) Finally, Dominican Spanish permits overt preverbal subjects in nonfinite (infinitival and gerundive) clauses, the attested subject-infinitive order standing in marked contraposition to that observed in the Spanish language, in which the subject would appear postposted to the infinitival verb.
Indonesia's efforts to create a loyal citizenry among the newer generations are collapsing because, ultimately, a Timorese national identity has been created in contraposition to the political and social understandings predicated by the Indonesian government.
However, he argues that the final result of this contraposition of classical and medieval sources is "fruitful," for it invites the reader to consider not only the works themselves, but also "the generic boundaries between them and the generic possibilities they encompass" (30).
3) The issue of the classification of prasangas that by their contraposition imply a self-constituted proof of similar type (bzlog pa rang rigs 'phen pa) or of dissimilar type (gzhan rigs 'phen pa) is one in which there was considerable disagreement in the Tibetan tradition.
In an excellent study of Pedro de Ona's Arauco Domado [The Tamed Araucan] (1596), Elide Pitarrello has defined this sort of contraposition as the "via erotica de la conquista" [the erotic means of conquest] ("Arauco domado" 250 and passim).
From this perspective, the external sectors of the Latin American and Caribbean economies will be the axis of the new model of accumulation, in contraposition to the role played by the internal market in past decades.