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While the new idea of associating modal terms with simultaneous alternatives continued to be used in thirteenth-century theology, it was not often discussed in philosophical contexts.
While the new idea of associating modal terms with simultaneous alternatives was used also in thirteenth-century theology, it was not often discussed in philosophical contexts.
Even though Aristotle did not define modal terms with the help of extensional notions, this model can be found in his discussion of eternal beings, the natures of things, the types of events, or generic statements about such things.
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In these approaches to the constituents of the universe, modal terms could be used in accordance with the so-called 'statistical' or 'temporal frequency' model of modality where the meaning of modal terms is spelled out extensionally as follows: what is necessary is always actual, what is impossible is never actual and what is possible is at least sometimes actual.
A similar point is made in connection with the use of modal terms.
Modifying Boethius's systematization of Aristotle's remarks in De interpretatione 12 and 13, twelfth- and thirteenth-century logicians often presented the equipollences between modal terms and opposed relations between modal propositions with the help of the following diagram: The square could be taken to refer to modals de dicto or singular modals de re (see below).
An important part of Peter's ontological views can be gathered from chapter seven, which covers issues connected with the use of modal terms.
In Aristotelian modal theories, modal terms were taken to refer to the one and only historical world of ours.
William begins by considering cases involving modal terms, most often the term 'possible'possible
They also offered sophisticated investigations of the logical behavior of e.g. modal terms (Buridan, TC).
This theorem says essentially that the modal logic GL captures everything that Peano Arithmetic can truthfully say in modal terms about its own provability predicate.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com