The Identity of Individuals in a Strict Functional Calculus of Second Order
Marcus (Ruth Barcan)
Source: Journal of Symbolic Logic 12, No. 1, Mar., 1947, pp. 12-15
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Philosophers Index Abstract

    The Barcan systems of first order quantified modal logic1 are extended to include functional and propositional variables, an abstraction operator and abstract formation along with axiom schemata for second order quantification theory and abstract elimination. Identity is introduced (I or =) and theorems proved about that relation including the proof that identity and necessary identity are strictly equivalent, i.e., the necessity of identity.


Published as Ruth C. Barcan

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