2) you can only eat melon.
In mathematics, you always have to make sure to communicate the "Universe of Discourse," i.e., the set of all objects in which we are checking for the existence of a particular object. For example, before checking for the existence of "Harry Potter," I COULD define the universe of discourse as "Characters in a book by J.K R", of which Harry would definitely be a subset.
If, however, I set the U.o.D. to be "People", then I could make the argument that Harry Potter is in fact a "person," though this would again depend on whether my definition of person depends on a physical existence. Since "person" is an English word, as well as an "idea" about some kind of personhood, I would have to conclude persons are not limited to the material universe of discourse.
If we do NOT include this foundation, then we run into the same problems Bertrand Russell saw in Cantor's (Naive) Set Theory. If I define the set of all fictional objects such that they do not exist when they are fictional, I believe we set up Russell's Paradox. Currently, mathemeticians do not assume that "for every property, there is a set of all things that satisfy that property," but rather that if you have a set, then a any subset of it defineable with "first order logic" EXISTS.
More info/quotes from here: http://en.wikipedia.org/wiki/Russell's_paradox
Based on that one might even be able to say that Fiction would have to exist as a subset of all things that I believe to exist. Whether that set of itself exists is another question entirely.
Agreed! Something exists because it is defined as such. "Reality" is a word I am actually uncomfortable using because all narratives are fictional including those we have day to day. People imagine having narratives that are proven not to exist all the time. Human beings are known to make up events that don't happen and they don't even know they are doing it. In a way no one can follow the the canon of the narratives in their lives so, believable fictions in their own universe (governed by their own laws) can be just as believable as the "day to day" as long as there is no cognitive dissonance. Yeah, and I guess a physicalist like myself would admit that imaginary things exist physically! :)
- Gates CorporationPaid Intern, 2013 - 2013Analytics and Algorithm Development Group Non-linear material property modeling (rubber, composites), for V-belt drives Finite Element Analysis (Altair Hyperworks Software, MSC Marc Mentat) CAD modeling (SolidWorks, 3D Printing/Rapid Prototyping Experience)
- YMCALifegaurd, 2010 - 2011
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