Existential Import, Aristotelian Logic, and its Generalizations
| العنوان: | Existential Import, Aristotelian Logic, and its Generalizations |
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| المؤلفون: | Corina Strößner |
| المصدر: | Logica Universalis. 14:69-102 |
| بيانات النشر: | Springer Science and Business Media LLC, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Logic, Applied Mathematics, Philosophy, 010102 general mathematics, Assertoric, Syllogism, Square of opposition, 06 humanities and the arts, 0603 philosophy, ethics and religion, 01 natural sciences, Existentialism, Epistemology, Universal quantification, Semantics of logic, 060302 philosophy, 0101 mathematics |
| الوصف: | The paper uses the theory of generalized quantifiers to discuss existential import and its implications for Aristotelian logic, namely the square of opposition, conversions and the assertoric syllogistic, as well as for more recent generalizations to intermediate quantifiers like “most”. While this is a systematic discussion of the semantic background one should assume in order to obtain the inferences and oppositions Aristotle proposed, it also sheds some light on the interpretation of his writings. Moreover by applying tools from modern formal semantics to the investigation of classical Aristotelian logic and its extensions, we combine different approaches to the logic of quantification. We will present variants of quantifiers that are associated to the four corners of the square of opposition with and without existential import and discuss their role for the logical square, conversions and the syllogistic. It will turn out that there is no way to ascribe existential import that validates all inferences and relations which one is willing to hold in Aristotelian logic. Two options, however, provide reasonable results. Existential import should either be ascribed only to affirmative statements or only be ascribed to universal quantification. The former option is preferable for a mere reconstruction of the classical Aristotelian logic while the latter option is more attractive if Aristotelian logic is generalized to intermediate quantifiers. |
| تدمد: | 1661-8300 1661-8297 |
| DOI: | 10.1007/s11787-020-00245-2 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::ee70a9b94fcf7800ee8e7f68400ac4fa https://doi.org/10.1007/s11787-020-00245-2 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi...........ee70a9b94fcf7800ee8e7f68400ac4fa |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 16618300 16618297 |
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| DOI: | 10.1007/s11787-020-00245-2 |