Abstract
An operator, i.e. a logical symbol binding a variable, is called the abstraction operator if it transforms a sentential formula into a name of the set of those things which satisfy that formula. Let the formula be represented by Q(x). Then the name of the things satisfying Q(x) is written as (EquationSource% MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGabmiEayaaja % aaaa!3701!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$\hat x$$)Q(x) where the cap over the variable enclosed within parentheses (sometimes written without the parentheses) plays the role of the operator.
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Reference
Benešová, E., Hajičová, E., Sgall, P.: Remarks on the topic/comment articulation II. Prague Bulletin of Mathematical Linguistics 20: 34, 1973.
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© 1981 Springer Science+Business Media Dordrecht
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Marciszewski, W. (1981). Abstraction Operator. In: Marciszewski, W. (eds) Dictionary of Logic as Applied in the Study of Language. Nijhoff International Philosophy Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1253-8_1
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DOI: https://doi.org/10.1007/978-94-017-1253-8_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8257-2
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