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In mathematics, philosophy, linguistics, and computer science, first-order logic (FOL), also called predicate logic, predicate calculus, or quantificational logic, is a type of formal system. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables. Rather than propositions such as "all…
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logic first-order displaystyle formula symbols formulas interpretation theory one symbol predicate set true example logical equality may variables variable domain
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| First-order logic | is a | extension of propositional logic.A theory about a topic | 0.90 | text |
| First-order logic | is a | standard for the formalization of mathematics into axioms | 0.90 | text |
| second-order logic.Historically speaking | instance of | can be obtained in stronger logics | 0.80 | text |
| the foundations of first-order logic were developed independently by Gottlob Frege | instance of | can be obtained in stronger logics | 0.80 | text |
| Charles Sanders Peirce in the 1880s | instance of | can be obtained in stronger logics | 0.80 | text |
| p | instance of | by variables | 0.80 | text |
| q | instance of | by variables | 0.80 | text |
| Phil | instance of | a non-logical predicate symbol | 0.80 | text |
| the Sheffer stroke | instance of | these two constants can only be expressed using quantifiers.Additional logical connectives | 0.80 | text |
| Dpq | instance of | these two constants can only be expressed using quantifiers.Additional logical connectives | 0.80 | text |
| P | instance of | These are often denoted by uppercase letters | 0.80 | text |
| Q | instance of | These are often denoted by uppercase letters | 0.80 | text |
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