The Monist 85 (4):580-599 (2002)

Authors
Mark Siebel
University of Oldenburg
Abstract
In the second volume of his Wissenschaftslehre from 1837, the Bohemian philosopher, theologian, and mathematician Bernard Bolzano introduced his concept of consequence, named derivability, together with a variety of theorems and further considerations. Derivability is an implication relation between sentences in themselves, which are not meant to be linguistic symbols but the contents of declarative sentences as well as of certain mental episodes. When Schmidt utters the sentence ‘Schnee ist weiß’, and Jones judges that snow is white, the sentence in itself expressed by Schmidt is the same as the one to which Jones agrees in thought. This sentence in itself is an abstract entity: in some sense, it exists; but it is unreal insofar as it lacks a position in space and time, does not stand in causal relationships, and is independent of the existence of thinking beings and languages.
Keywords Analytic Philosophy  Contemporary Philosophy  General Interest  Philosophy of Mind  Philosophy of Science
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ISBN(s) 0026-9662
DOI monist200285430
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The Different Ways in Which Logic is (Said to Be) Formal.Catarina Dutilh Novaes - 2011 - History and Philosophy of Logic 32 (4):303 - 332.
Etchemendy and Bolzano on Logical Consequence.Paul Rusnock & Mark Burke - 2010 - History and Philosophy of Logic 31 (1):3-29.
Bolzano and Kant on the Nature of Logic.Clinton Tolley - 2012 - History and Philosophy of Logic 33 (4):307-327.

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