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(2015) The road to universal logic II, Basel, Birkhäuser.
Some conceptions of logic claim that they are universal. By contrast, I assume that the applications of any logic are central to its conception, so that it has to comprise a hierarchy of its metalogics, metametalogics, …, indefinitely extended but never capped off with some universal logic. I also advocate for the distinction between parts and moments of a multitude as key to this conception, and I query the assumption that set theory provides the most general means of handling collections of objects.
Publication details
DOI: 10.1007/978-3-319-15368-1_14
Full citation:
Grattan-Guinness, I. (2015)., Is logic universal or hierarchical?, in A. Koslow & A. Buchsbaum (eds.), The road to universal logic II, Basel, Birkhäuser, pp. 307-318.
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