THE TRADITIONAL AND THE MODERN SQUARE OF OPPOSITION

[@rupertbear9116]

the existential import can mean either Real existence or Imaginary existence, similar to the real number line and the imaginary number plane

[@philonew]

No, the existential import means that something is in existence. It does not cover imaginary things, that's the point.

[@rupertbear9116]

so, what is the truth value of the statement that "achilles slew Hektor outside the city of Troy" at least according to Homer?

[@philonew]

@@rupertbear9116 If you take the statement from the perspective of traditional logic, the statement is false. As I explain in the video, that was the first reason why the traditional interpretation was abandoned, i.e., because all fictional statements, statements about objects or individual that do not exist in reality, are false. That is because according to traditional logic, the statement "achilles [sic] slew Hektor [sic] outside the city of Troy" means "There exists in the world such individual as Achilles...", which is false.