Modality in medieval philosophy

Read, Stephen

doi:10.4324/9781315742144-38

Cited by 4 publications

(5 citation statements)

References 13 publications

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“…The first of it is required to briefly define what is contingent as a modal operator according to Ockham. 16 Given that ∇ means "it is contingent that" and that ∆ means "it is not contingent that" or "it is determinate that", Ockham defines propositions de contingenti, so having contingency as modal operator, as follows 17 : 18 These definitions are based on one side of De Morgan's rules that Ockham knows and clearly defines in [13]…”

Section: Extension Of Ockham's Modal Squaresmentioning

confidence: 99%

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A Relational Semantics for Ockham’s Modalities

Falessi¹,

Schang²

2023

Preprint

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This article aimed at providing some extension of the modal square of opposition in the 1 light of Ockham’s account of the modal operators. Moreover, we shall set forth some significant 2 remarks on the de re-de dicto distinction and on the modal operator of contingency by means of a 3 Boolean algebra called Bitstring Semantics. This generalisation starting from Ockham’s account of 4 modalities will allow us to take into consideration whether Ockham’s thought on this matter holds 5 water or not, and in which case it should be changed in order to make it coherent.

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Section: Extension Of Ockham's Modal Squaresmentioning

confidence: 99%

“…Needless to say, the conclusion and all the sections are the result of a common work of discussion and sharing opinions and ideas 2. See also[10] and[17] for the medieval theories of modal logic 3. For a fully-fledged explanation of Ockham's account of modalities, see[12] and[8].…”

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confidence: 99%

A Relational Semantics for Ockham’s Modalities

Falessi¹,

Schang²

2023

Preprint

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“…In medieval logic, there are two possible readings of a modal proposition. A modal proposition can be taken either in sensu compositionis (compound sense) or in sensu divisionis (divided sense) (see also [1,2] for the medieval theories of modal logic). For a fully-fledged explanation of Ockham's account of modalities, see [3,4].…”

Section: Ockham's Account: De Dicto/de Re Distinctionmentioning

confidence: 99%

“…2,3,4,5,6,7,8,9,10,12, 13} ∩ {1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 14, 15} = {1, 2, 3, 4, 5, 7, 8, 9, 10} W(A∆) = W ( 9 ∧ 13 ) ∨ ( 10 ∧ 14 )) = ({1, 2, 3, 6} ∪ {11,14, 15, 16}) ∩ ({1, 4, 5, 11} ∪ {6, 12, 13, 16}) = {1, 2, 3, 6, 11, 14, 15, 16} ∩ {1, 4, 5, 6, 11, 12, 13, 16} = {1, 6, 11, 16} W(A∇) = W ( 11 ∧ 15 ) ∧ ( 12 ∧ 16 ) = ({1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13} ∩ {4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}) ∩ ({1, 2, 3, 4, 5, 7, 8, 9, 10, 14} ∩ {2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16}) = {4, 5, 7, 8, 9, 10, 12, 13} ∩ {2, 3, 7, 8, 9, 10, 14, 15} = {7, 8, 9, 10} EM = ( • ) ∧ ( • ) W(E ) = W ( 13 ∧ 14 ) = {11, 14, 15, 16} ∩ {6, 12, 13, 16} = {16} W(E♦) = W ( 15 ∧ 16 ) = {4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} ∩ {2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16} = {7, 8, 9, 10, 12, 13, 14, 15, 16} W(E∆) = W (( 13 ∨ 9 ) ∧ ( 14 ∧ 10 )) = ({11, 14, 15, 16} ∪ {1, 2, 3, 6}) ∩ ({6, 12, 13, 16} ∪ {1, 4, 5, 11}) = {1, 2, 3, 6, 11, 14, 15, 16} ∩ {1, 4, 5, 6, 11, 12, 13, 16} = {1, 6, 11, 16} W(E∇) = W (( 15 ∧ 11 ) ∧ ( 16 ∧ 12 )) = ({4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16} ∩{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13}) ∩ ({2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16} ∩ {1,…”

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confidence: 99%

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A Relational Semantics for Ockham’s Modalities

Falessi

Schang²

2023

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This article aims at providing some extension of the modal square of opposition in the light of Ockham’s account of modal operators. Moreover, we set forth some significant remarks on the de re–de dicto distinction and on the modal operator of contingency by means of a set-theoretic algebra called numbering semantics. This generalization starting from Ockham’s account of modalities will allow us to take into consideration whether Ockham’s account holds water or not, and in which case it should be changed.

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