The second element of Kripke's solution, therefore, is to banish constants from the language of quantified modal logic; that is, to specify the language of quantified modal logic in such a way that variables are the only terms.
But the plural logics described above extend ordinary first-order logic in a different way, namely by allowing quantification into plural argument position.
Smullyan's Unifying Principle was introduced in Smullyan 1963 (see also Smullyan 1995) as a tool for deriving a number of basic metatheorems about first-order logic in a uniform way.
Heikkinen has an incredible ability to couple different logics together in a way that creates a kind of tunnel, into a hole.
These were places where the paint was peeling and the rugs were frayed and the hallways were lined with books; places where smart people sat around drinking gin and tonics, having interesting conversations, and living, according to my logic, in an authentic way.
Thus the paradox can be handled in the frame of fuzzy logic in an axiomatic way, not enforcing any unique semantics.
In any case, Devaney is right to insist, in her first part on the "Innocuous Logic of 'Both/And'" that poststructuralism hasn't really destroyed traditional logic in an unprecedented way: "Whatever the source," she argues, "theorists of postmodernism harbor misconceptions about classical logic.
One of the aims of the PROforma language is to describe the logic of processes in a way that allows the computerised form to be examined and validated by domain experts.
The introduction of systems of MVL by Łukasiewicz (1920) was initially guided by the (finally unsuccessful) idea of understanding the notion of possibility, i.e. modal logic, in a 3-valued way.
Such broad-stroke language which seems in some cases to be in denial of the nature of the space reveals carceral logic in a very soft way.
