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- Q5177156 subject Q8614137.
- Q5177156 abstract "A counting quantifier is a mathematical term for a quantifier of the form "there exists at least k elements that satisfy property X".In first-order logic with equality, counting quantifiers can be defined in terms of ordinary quantifiers, so in this context they are a notational shorthand.However, they are interesting in the context of logics such as two-variable logic with counting that restrict the number of variables in formulas.Also, generalized counting quantifiers that say "there exists infinitely many" are not expressible using a finite number of formulas in first-order logic.".
- Q5177156 wikiPageExternalLink gorc2.ps.
- Q5177156 wikiPageWikiLink Q18355323.
- Q5177156 wikiPageWikiLink Q2502253.
- Q5177156 wikiPageWikiLink Q395.
- Q5177156 wikiPageWikiLink Q4055684.
- Q5177156 wikiPageWikiLink Q592911.
- Q5177156 wikiPageWikiLink Q8614137.
- Q5177156 comment "A counting quantifier is a mathematical term for a quantifier of the form "there exists at least k elements that satisfy property X".In first-order logic with equality, counting quantifiers can be defined in terms of ordinary quantifiers, so in this context they are a notational shorthand.However, they are interesting in the context of logics such as two-variable logic with counting that restrict the number of variables in formulas.Also, generalized counting quantifiers that say "there exists infinitely many" are not expressible using a finite number of formulas in first-order logic.".
- Q5177156 label "Counting quantification".