|Abstract||This original and enticing book provides a fresh, unifying perspective on many old and new logico-philosophical conundrums. Its basic thesis is that many concepts central in ordinary and philosophical discourse are inherently circular and thus cannot be fully understood as long as one remains within the conﬁnes of a standard theory of deﬁnitions. As an alternative, the authors develop a revision theory of deﬁnitions, which allows deﬁnitions to be circular without this giving rise to contradiction (but, at worst, to “vacuous” uses of deﬁnienda). The theory is applied with varying levels of detail to a circular analysis of concepts as diverse as truth, predication, necessity, physical object, etc. The focus is on truth, and hope is expressed that a deeper understanding of the Liar and related paradoxes has been provided: “We have tried to show that once the circularity of truth is recognized, a great deal of its behavior begins to make sense. In particular, from this viewpoint, the existence of the paradoxes seems as natural as the existence of the eclipses” (p. 142). We think that this hope is fully justiﬁed, although some problems remain that future research in this ﬁeld should take into account. The following assumptions constitute the typical background in which the truth paradoxes arise: (i) classical ﬁrst-order logic, (ii) a language allowing for self-reference, and (iii) the “semantic” Tarskian schema: (TS) T ‘A’ ↔ A (where ‘T’ is the truth predicate, and the single quotes are a nominalization device applicable to sentences; for simplicity, we only consider homophonic versions of TS). This background can be seen as somehow part of our ordinary linguistic and conceptual background and yet, to avoid inconsistency, one or more of these assumptions must be suitably weakened. The classical, Tarskian strategy is to forbid self-reference, whereas the ﬁxed-point approaches stemming from the work of Saul Kripke (1975) and Robert Martin and Peter Woodruff (1975) weaken the logic..|
|Keywords||No keywords specified (fix it)|
|Categories||No categories specified (fix it)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Francesco Orilia (2000). Meaning and Circular Definitions. Journal of Philosophical Logic 29 (2):155-169.
J. A. Burgess (2008). When is Circularity in Definitions Benign? Philosophical Quarterly 58 (231):214–233.
G. Aldo Antonelli (1992). Revision Rules: An Investigation Into Non-Monotonic Inductive Deﬁnitions. Dissertation, University of Pittsburgh
Jon Barwise (1987). The Liar: An Essay on Truth and Circularity. Oxford University Press.
Claire Horisk (2008). Truth, Meaning, and Circularity. Philosophical Studies 137 (2):269 - 300.
Hartry Field (2003). A Revenge-Immune Solution to the Semantic Paradoxes. Journal of Philosophical Logic 32 (2):139-177.
P. D. Welch (2001). On Gupta-Belnap Revision Theories of Truth, Kripkean Fixed Points, and the Next Stable Set. Bulletin of Symbolic Logic 7 (3):345-360.
Matthias Varga von Kibéd (1989). Some Remarks on Davidson's Theory of Truth. Grazer Philosophische Studien 36:47-64.
Kai-Uwe Küdhnberger, Benedikt Löwe, Michael Möllerfeld & Philip Welch (2005). Comparing Inductive and Circular Definitions: Parameters, Complexity and Games. Studia Logica 81 (1):79 - 98.
Kevin Scharp (forthcoming). Truth, the Liar, and Relativism. Philosophical Review.
Nuel D. Belnap (1982). Gupta's Rule of Revision Theory of Truth. Journal of Philosophical Logic 11 (1):103-116.
Added to index2010-12-22
Total downloads13 ( #87,931 of 549,088 )
Recent downloads (6 months)1 ( #63,317 of 549,088 )
How can I increase my downloads?