Logical space and the origins of pluralism in logic

0483330 - FLÚ 2018 RIV CZ eng J - Journal Article
Arazim, Pavel
Logical space and the origins of pluralism in logic.
Acta Universitatis Carolinae. Philosophica et Historica. -, č. 2 (2017), s. 7-26. ISSN 0567-8293
R&D Projects: GA ČR(CZ) GA17-15645S
Institutional support: RVO:67985955
Keywords : pluralism * expressivism * logical space * geometry * holism
OECD category: Philosophy, History and Philosophy of science and technology

The fact that there is a plurality of systems that we call logics makes it requisite to attempt an explanation and thorough evaluation of the role of logic. I exploit the analogical development towards the pluralism of geometry to show that both disciplines are about some kinds of space which they explicate and that we can choose with some freedom the tools for engaging in an enterprise of these disciplines. After revisiting the development of non-classical (i.e. non-Euclidian) geometries, I present logical expressivism, as coined by Robert Brandom, and, returning again to geometry, show that an analogous doctrine of geometrical expressivism can also provide a viable account of the nature and purpose of the discipline and the reasons for plurality of both geometries and logics.
Permanent Link: http://hdl.handle.net/11104/0278686