First order theories of individual concepts and propositions

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.

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Citations of this work

A logic of goal-directed knowing how.Yanjing Wang - 2018 - Synthese 195 (10):4419-4439.
Epistemic logic for rule-based agents.Mark Jago - 2009 - Journal of Logic, Language and Information 18 (1):131-158.
Conditionally Knowing What.Yanjing Wang & Jie Fan - 2014 - In Rajeev Goré, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Volume 10. CSLI Publications. pp. 569-587.

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