Title
On the Status of Reflection and Conservativity in Replacement Theories of Truth.
Abstract
This article examines Kevin Scharp's formal solution to the alethic paradoxes, ADT, which stands for ascending and descending truth. One of the main supposed benefits of ADT over its competitors is that it alone can validate the uses of truth concepts in theoretical contexts, such as truth-theoretic semantics. The appendixes contain a new consistency proof for ADT, and additionally show that it is conservative. As a result of its conservativity, the article argues that ADT faces a problem in accounting for certain mathematical uses of truth. Thus, Scharp's theory needs to be amended in order to fulfill its aim of replicating all substantive uses of truth.
Year
DOI
Venue
2018
10.1215/00294527-2018-0004
NOTRE DAME JOURNAL OF FORMAL LOGIC
Keywords
Field
DocType
philosophical logic,formal theories of truth,replacement theories,truth,liar paradox
Discrete mathematics,Liar paradox,Epistemology,Mathematics,Philosophical logic
Journal
Volume
Issue
ISSN
59
3
0029-4527
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Jeffrey R. Schatz100.34