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Abstract Objects - An Introduction to Axiomatic Metaphysics (Hardcover, 1983 ed.)
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Abstract Objects - An Introduction to Axiomatic Metaphysics (Hardcover, 1983 ed.)
Series: Synthese Library, 160
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In this book, I attempt to lay the axiomatic foundations of
metaphysics by developing and applying a (formal) theory of
abstract objects. The cornerstones include a principle which
presents precise conditions under which there are abstract objects
and a principle which says when apparently distinct such objects
are in fact identical. The principles are constructed out of a
basic set of primitive notions, which are identified at the end of
the Introduction, just before the theorizing begins. The main
reason for producing a theory which defines a logical space of
abstract objects is that it may have a great deal of explanatory
power. It is hoped that the data explained by means of the theory
will be of interest to pure and applied metaphysicians, logicians
and linguists, and pure and applied epistemologists. The ideas upon
which the theory is based are not essentially new. They can be
traced back to Alexius Meinong and his student, Ernst Mally, the
two most influential members of a school of philosophers and
psychologists working in Graz in the early part of the twentieth
century. They investigated psychological, abstract and non-existent
objects - a realm of objects which weren't being taken seriously by
Anglo-American philoso phers in the Russell tradition. I first took
the views of Meinong and Mally seriously in a course on metaphysics
taught by Terence Parsons at the University of
Massachusetts/Amherst in the Fall of 1978. Parsons had developed an
axiomatic version of Meinong's naive theory of objects."
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