What is the difference between predicate logic, first order logic, second order logic and higher order logic?
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second order logic (such as second order predicate logic) does allow this, and you can write sentences such as: ∀p.p(Socrates). A higher order logic allows predicates to accept arguments which are themselves predicates.. Second order logic cannot be reduced to first-order logi.
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☛Process of thinking about something in a logical way in order to form a conclusion or judgment. : the ability of the mind to think and understand things in a logical way....
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