In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press (2009)

Ari Maunu
University of Turku
This chapter begins with a discussion of Kant's theory of judgment-forms. It argues that it is not true in Kant's logic that assertoric or apodeictic judgments imply problematic ones, in the manner in which necessity and truth imply possibility in even the weakest systems of modern modal logic. The chapter then discusses theories of judgment-form after Kant, the theory of quantification, Frege's Begriffsschrift, C. I. Lewis and the beginnings of modern modal logic, the proof-theoretic approach to modal logic, possible world semantics, correspondence theory, and modality and quantification.
Keywords judgment-forms  Frege  modal logic  possible worlds semantics  correspondence theory  modality  quantification
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DOI 10.1093/acprof:oso/9780195137316.003.0035
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