03 Jun '15 16:14>
Originally posted by twhiteheadGenerically, dualism refers to some thesis that, within some particular domain of discourse, there exist two fundamental but disparate kinds or categories. If you intend to focus this discussion to "dualism" indexed specifically to the particular domain of abstracta vs. concreta, that is fine. But that is not typically how the term is taken in the philosophy of mind, where it relates to the physical vs mental distinction (which is not quite the same as the physical/abstract distinction you outlined). I would think the thesis you put forth here (that there exist abstracta in addition to concreta) is maybe better viewed as a denial of some version of metaphysical nominalism, rather than as a generic statement of dualism. All of these articles would be relevant:
So here goes my understanding of the concept:
Abstract concepts like numbers, most of mathematics, words, stories etc can be considered both existent and independent of the materials with which they are represented. Thus there are two types of existence: physical existence and abstract existence.
http://plato.stanford.edu/entries/nominalism-metaphysics/
http://plato.stanford.edu/entries/dualism/
http://plato.stanford.edu/entries/abstract-objects/