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Second Order Logic, HOL  Philosophy Dictionary of Arguments  
2nd order Logic: Predicate logic of the 2nd order goes beyond predicate logic of the 1st level allowing quantification over properties and relations, and not just objects. Thus comparisons of the powerfulness of sets become possible. Problems which are expressed in everyday terms with terms such as "greater", "between", etc., and e.g. the specification of all the properties of an object require predicate logic of the 2nd order. Since the 2nd level logic is not complete (because there are, for example, an infinite number of properties of properties), one often tries to get on with the logic of the 1st order. _____________ Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.  
Author  Item  More concepts for author  

Bigelow, John  Second Order Logic, HOL  Bigelow, John  
Cresswell, Maxwell J.  Second Order Logic, HOL  Cresswell, Maxwell J.  
Field, Hartry  Second Order Logic, HOL  Field, Hartry  
Logic Texts  Second Order Logic, HOL  Logic Texts  
Wittgenstein, Ludwig  Second Order Logic, HOL  Wittgenstein, Ludwig  
