The Modal Octagon and John Buridan’s Modal Ontology

Johnston, Spencer

doi:10.1007/978-3-319-45062-9_4

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“…'every donkey of every man runs'). Of these three diagrams, the modal octagon has received by far the most attention in the contemporary literature (Hughes 1987, Lagerlund 2000, 2011, Campos-Benítez 2012, Read 2015b, Johnston 2017, although there has also been some work on the octagon for the propositions of unusual construction (Campos-Benítez 2014 ). Furthermore, Read 2012 discusses all three octagons simultaneously.…”

Section: Introductionmentioning

confidence: 99%

Boolean considerations on John Buridan's octagons of opposition

Demey

2018

History and Philosophy of Logic

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This paper studies John Buridan's octagons of opposition for the de re modal propositions and the propositions of unusual construction. Both Buridan himself and the secondary literature have emphasized the strong similarities between these two octagons (as well as a third one, for propositions with oblique terms). In this paper, I argue that the interconnection between both octagons is more subtle than has previously been thought: if we move beyond the Aristotelian relations, and also take Boolean considerations into account, then the strong analogy between Buridan's octagons starts to break down. These differences in Boolean structure can already be discerned within the octagons themselves; on a more abstract level, they lead to these two octagons having different degrees of Boolean complexity (i.e. Boolean closures of different sizes). These results are obtained by means of bitstring analysis, which is one of the key tools from contemporary logical geometry. Finally, I argue that this historical investigation is directly relevant for the theoretical framework of logical geometry, and discuss how it helps us to address certain open questions in this framework.

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Section: Introductionmentioning

confidence: 99%

Boolean considerations on John Buridan's octagons of opposition

Demey

2018

History and Philosophy of Logic

View full text Add to dashboard Cite

show abstract

The Modal Octagon and John Buridan’s Modal Ontology

Cited by 1 publication

References 3 publications

Boolean considerations on John Buridan's octagons of opposition

Boolean considerations on John Buridan's octagons of opposition

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