NDLI: Tharp’s theorems of metaphysics and the notion of necessary truth

Content Provider	Springer Nature Link
Author	Stein, Jordan
Copyright Year	2016
Abstract	Leslie Tharp proves three theorems concerning epistemic and metaphysical modality for conventional modal predicate logic: every truth is a priori equivalent to a necessary truth, every truth is necessarily equivalent to an a priori truth, and every truth is a priori equivalent to a contingent truth. Lloyd Humberstone has shown that these theorems also hold in the modal system Actuality Modal Logic (AML), the logic that results from the addition of the actuality operator to conventional modal logic. We show that Tharp’s theorems fail for the expressively equivalent Subjunctive Modal Logic (SML), the logic that was developed by Kai Wehmeier as an alternative to AML. We then argue that the existence of Tharp’s theorems for AML is due to a faulty interpretation of the notion of necessary truth, a feature that is not shared by SML. The paper concludes with an argument for the thesis that the existence of the distinction between truth at all worlds w and truth at all worlds w from the point of view of w as the actual world is an artifact owing to the interaction of the necessity and actuality operator.
Starting Page	1219
Ending Page	1231
Page Count	13
File Format	PDF
ISSN	00397857
Journal	Synthese
Volume Number	194
Issue Number	4
e-ISSN	15730964
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-01-04
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Actuality operator Tharp’s theorems of metaphysics Subjunctive Modal Logic A priori knowledge Metaphysical necessity Philosophy of Science Epistemology Logic Philosophy of Language Metaphysics
Content Type	Text
Resource Type	Article
Subject	Philosophy Social Sciences

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