History and Philosophy of Logic 32 (2):139 - 152 (2011)

Authors
Lydia Patton
Virginia Tech
Abstract
In the nineteenth century, the separation of naturalist or psychological accounts of validity from normative validity came into question. In his 1877 Logical Studies (Logische Studien), Friedrich Albert Lange argues that the basis for necessary inference is demonstration, which takes place by spatially delimiting the extension of concepts using imagined or physical diagrams. These diagrams are signs or indications of concepts' extension, but do not represent their content. Only the inference as a whole captures the objective content of the proof. Thus, Lange argues, the necessity of an inference is independent of psychological accounts of how we grasp the content of a proposition.
Keywords analytic  synthetic
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DOI 10.1080/01445340.2010.541183
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Symbolic Logic.John Venn - 1881 - New York: B. Franklin.
Plato and the Method of Analysis.Stephen Menn - 2002 - Phronesis 47 (3):193-223.

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