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Full Idea
Boolos discovered that any sentence of monadic second-order logic can be translated into plural first-order logic.
Gist of Idea
Any sentence of monadic second-order logic can be translated into plural first-order logic
Source
report of George Boolos (To be is to be the value of a variable.. [1984], §1) by Øystein Linnebo - Plural Quantification Exposed p.74
Book Ref
-: 'Nous' [-], p.74
10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |