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Collection of formal systems used in mathematics, philosophy, linguistics, and computer science

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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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dbp:date
  • January 2023 (en)
dbp:id
  • p/p074360 (en)
dbp:reason
  • 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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  • Predicate calculus (en)
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  • Predicate logic (en)
  • First-order logic (en)
  • منطق الرتبة الأولى (ar)
  • Lògica de primer ordre (ca)
  • Predikátová logika prvního řádu (cs)
  • Λογική πρώτου βαθμού (el)
  • Lógica de primer orden (es)
  • Predikatkalkulo (eo)
  • Lehen mailako logika (eu)
  • Prädikatenlogik erster Stufe (de)
  • Logika predikat tingkat pertama (in)
  • Calcul des prédicats (fr)
  • Teoria del primo ordine (it)
  • 一階述語論理 (ja)
  • 1차 논리 (ko)
  • Rachunek predykatów pierwszego rzędu (pl)
  • Lógica de primeira ordem (pt)
  • Логика первого порядка (ru)
  • Första ordningens logik (sv)
  • Логіка першого порядку (uk)
  • 一阶逻辑 (zh)
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