Abstract Objects: An Introduction to Axiomatic Metaphysics

Dordrecht, Netherland: D. Reidel (1983)
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Abstract

In this book, Zalta attempts 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.

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Edward Zalta
Stanford University

Citations of this work

Impossible Worlds.Francesco Berto - 2013 - Stanford Encyclopedia of Philosophy (2013):en ligne.
Impossible Worlds.Franz Berto & Mark Jago - 2013 - Oxford: Oxford University Press.
HYPE: A System of Hyperintensional Logic.Hannes Leitgeb - 2019 - Journal of Philosophical Logic 48 (2):305-405.

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References found in this work

Naming and necessity.Saul Kripke - 2010 - In Darragh Byrne & Max Kölbel (eds.), Arguing about language. New York: Routledge. pp. 431-433.
Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Semantical Considerations on Modal Logic.Saul Kripke - 1963 - Acta Philosophica Fennica 16:83-94.
On sense and reference.Gottlob Frege - 2010 - In Darragh Byrne & Max Kölbel (eds.), Arguing about language. New York: Routledge. pp. 36--56.

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