While first-order logic allows for the use of predicates, such as "is a philosopher" in this example, propositional logic does not. Relationships between predicates ...
From: first-order language in The Oxford Dictionary of Philosophy ».
Second-order logic has a subtle role in the philosophy of mathematics. It is stronger than first order logic in that it incorporates “for all properties” ...
of science and its interrelationships with culture, see science, philosophy of.
Article Summary. Typically, a formal language has variables that range over a collection of objects, or domain of discourse. A language is 'second-order' if it has , in ...
to second-order logic.' The first of Quine's animadversions upon second-order logic that. I shall discuss is to be found in the section of his Philosophy of Logic'.
So if second-order logic was recursively enumerable (r.e.) then true arithmetic ( the sentences true in the standard model) would be r.e. Now you ...
Request PDF | On Mar 17, 2016, Francesca Boccuni and others published The Logicality of Second-Order Logic: Logic, Philosophy, and ...
… to be completed soon. “Somehow Things Do Not Relate: on the interpretation of polyadic second-order logic” Journal of Philosophical Logic 44 ...
Journal of Philosophical Logic 42: 643–678. Google Scholar. Fuhrken, G. 1964. “ Skolem-type Normal Forms for First-order Languages with a Generalized ...