%0 Journal Article %1 concepts %A McCarthy, J. %D 1979 %J Machine Intelligence %K logic modal %T First Order Theories of Individual Concepts and Propositions %V 9 %X We discuss first order theories in which individual concepts are admitted as mathematical objects along with the things that reify them. This allows very straightforward formalizations of knowledge, belief, wanting, and necessity in ordinary first order logic without modal operators. Applications are given in philosophy and in artificial intelligence. We do not treat general concepts, and we do not present any full axiomatizations but rather show how various facts can be expressed.

@article{concepts, abstract = {We discuss first order theories in which individual concepts are admitted as mathematical objects along with the things that reify them. This allows very straightforward formalizations of knowledge, belief, wanting, and necessity in ordinary first order logic without modal operators. Applications are given in philosophy and in artificial intelligence. We do not treat general concepts, and we do not present any full axiomatizations but rather show how various facts can be expressed.}, added-at = {2007-11-23T14:13:20.000+0100}, author = {McCarthy, J.}, biburl = {https://www.bibsonomy.org/bibtex/29ec9e6f0ddf4a868e9ba54a0f82adac6/ramaz}, interhash = {1afb4cd96c14970663a030a72e584338}, intrahash = {9ec9e6f0ddf4a868e9ba54a0f82adac6}, journal = {Machine Intelligence}, keywords = {logic modal}, owner = {Mauro}, review = {Modalities without using modal logic. McCarthy proposes first-order logic of knowledge and belief that employ on eor more predicates on sentences, in guise of \emph{concepts}. \cite{p115-des_rivieres}}, timestamp = {2007-11-23T14:13:36.000+0100}, title = {First Order Theories of Individual Concepts and Propositions}, volume = 9, year = 1979 }