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- sistema lógico que estende a lógica proposicional (pt)
- méthode formelle, utilise des variables sur des objets non logiques et permet l'usage de phrases qui contiennent des variables; seules les variables sont quantifiées (fr)
- sistema formale usato in matematica, filosofia, linguistica e informatica (it)
- 引数として変数を取る関数や述語の量化は許さず、個体のみの量化を許す述語論理のこと (ja)
- در منطق مرتبه اول جملاتی وجود دارد که از «متغیرهای سور داده شده» روی اشیای غیر منطقی استفاده میکند. (fa)
- collection of formal systems used in mathematics, philosophy, linguistics, and computer science (en)
- 使用於數學、哲學、語言學及電腦科學中的一種形式系統 (zh)
- sistema formal diseñado para estudiar la inferencia en los lenguajes de primer orden (es)
- koleksi sistem formal yang digunakan dalam bidang matematika, linguistik dan ilmu komputer (in)
- Teilgebiet der mathematischen Logik: Familie logischer Systeme (de)
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- Article should clarify syntactic-semantic distinction here, e.g. second-order logic can be interpreted as a many-sorted first-order logic, so syntactically it could be argued that it's not more expressive, and it admits categorical axiomatizations only using full semantics, but using Henkin semantics it is a conservative extension of the typical semantics for first-order logic. So really the article needs to clarify whether it is discussing FOL exclusively as a syntactic system, or as a syntactic and semantic system, and in either case clarify in which senses "extensions" of first-order logic are being assumed to extend it . (en)
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