Multiple Generality in Scholastic Logic

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Multiple Generality in Scholastic Logic. / Schuman, Boaz Faraday.

I: Oxford Studies in Medieval Philosophy, Bind 10, 2022, s. 215-282.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Schuman, BF 2022, 'Multiple Generality in Scholastic Logic', Oxford Studies in Medieval Philosophy, bind 10, s. 215-282. https://doi.org/10.1093/oso/9780192871244.003.0006

APA

Schuman, B. F. (2022). Multiple Generality in Scholastic Logic. Oxford Studies in Medieval Philosophy, 10, 215-282. https://doi.org/10.1093/oso/9780192871244.003.0006

Vancouver

Schuman BF. Multiple Generality in Scholastic Logic. Oxford Studies in Medieval Philosophy. 2022;10:215-282. https://doi.org/10.1093/oso/9780192871244.003.0006

Author

Schuman, Boaz Faraday. / Multiple Generality in Scholastic Logic. I: Oxford Studies in Medieval Philosophy. 2022 ; Bind 10. s. 215-282.

Bibtex

@article{f5b5eba2ea0a4ab1b6a3cf8699488903,
title = "Multiple Generality in Scholastic Logic",
abstract = "Multiple generality has long been known to cause confusion. For example, “Everyone has a donkey that is running” has two readings: either (i) there is a donkey, owned by everyone, and it is running; or (ii) everyone owns some donkey or other, and all such donkeys run. Medieval logicians were acutely aware of such ambiguities, and the logical problems they pose, and sought to sort them out. One of the most ambitious undertakings in this regard is a pair of massive diagrams (magnae figurae) which map out the logical interrelations of two sets of doubly-general forms. These appear in a fourteenth-century MS of John Buridan{\textquoteright}s {"}Summulae de Propositionibus{"}. In this paper, I present these diagrams, and determine the truth conditions of their different forms. To that end, I have developed a bespoke system of diagrams to display their truth conditions. As we will see, such forms present significant difficulties for an all-encompassing account of the role form plays in logic. Accordingly, they can tell us important things about the role logical form plays in Buridan{\textquoteright}s account of logical foundations. ",
keywords = "Faculty of Humanities, multiple generality, logical form, logic diagrams, existential import, John Buridan",
author = "Schuman, {Boaz Faraday}",
year = "2022",
doi = "10.1093/oso/9780192871244.003.0006",
language = "English",
volume = "10",
pages = "215--282",
journal = "Oxford Studies in Medieval Philosophy",
publisher = "Oxford Journals, Oxford UP",

}

RIS

TY - JOUR

T1 - Multiple Generality in Scholastic Logic

AU - Schuman, Boaz Faraday

PY - 2022

Y1 - 2022

N2 - Multiple generality has long been known to cause confusion. For example, “Everyone has a donkey that is running” has two readings: either (i) there is a donkey, owned by everyone, and it is running; or (ii) everyone owns some donkey or other, and all such donkeys run. Medieval logicians were acutely aware of such ambiguities, and the logical problems they pose, and sought to sort them out. One of the most ambitious undertakings in this regard is a pair of massive diagrams (magnae figurae) which map out the logical interrelations of two sets of doubly-general forms. These appear in a fourteenth-century MS of John Buridan’s "Summulae de Propositionibus". In this paper, I present these diagrams, and determine the truth conditions of their different forms. To that end, I have developed a bespoke system of diagrams to display their truth conditions. As we will see, such forms present significant difficulties for an all-encompassing account of the role form plays in logic. Accordingly, they can tell us important things about the role logical form plays in Buridan’s account of logical foundations.

AB - Multiple generality has long been known to cause confusion. For example, “Everyone has a donkey that is running” has two readings: either (i) there is a donkey, owned by everyone, and it is running; or (ii) everyone owns some donkey or other, and all such donkeys run. Medieval logicians were acutely aware of such ambiguities, and the logical problems they pose, and sought to sort them out. One of the most ambitious undertakings in this regard is a pair of massive diagrams (magnae figurae) which map out the logical interrelations of two sets of doubly-general forms. These appear in a fourteenth-century MS of John Buridan’s "Summulae de Propositionibus". In this paper, I present these diagrams, and determine the truth conditions of their different forms. To that end, I have developed a bespoke system of diagrams to display their truth conditions. As we will see, such forms present significant difficulties for an all-encompassing account of the role form plays in logic. Accordingly, they can tell us important things about the role logical form plays in Buridan’s account of logical foundations.

KW - Faculty of Humanities

KW - multiple generality

KW - logical form

KW - logic diagrams

KW - existential import

KW - John Buridan

U2 - 10.1093/oso/9780192871244.003.0006

DO - 10.1093/oso/9780192871244.003.0006

M3 - Journal article

VL - 10

SP - 215

EP - 282

JO - Oxford Studies in Medieval Philosophy

JF - Oxford Studies in Medieval Philosophy

ER -

ID: 305800881