He constructed the first propositional logic and the first predicate logic. A few years later, but independently, the Italian mathematician Giuseppe Peano also invented a version of predicate logic.

Consequently quantification over propositional variables can be modelled in IpC, and there is an interpretation of the second order propositional calculus, IpC2, in IpC which restricts to the identity ...

A propositional system of modal logic is second-order if it contains quantifiers ∀p and ∃p, which, in the standard interpretation, are construed as ranging over sets of possible worlds (propositions).

Logical Agents ¶ logical agents use logic to make decisions and act in the world the two most common kinds of logics are: propositional logic first-order logic (e.g. logic with quantifiers like “for ...