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Non-deterministic Logic of Generalized Classical Truth Values
In this paper, we are going to combine two trends: non-deterministic logic and bi-facial logic of generalized truth values. Non-deterministic...
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Supervaluationism, Modal Logic, and Weakly Classical Logic
A consequence relation is strongly classical if it has all the theorems and entailments of classical logic as well as the usual meta-rules (such as...
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Getting some (non-classical) closure with justification logic
Justification logics provide frameworks for studying the fine structure of evidence and justification. Traditionally, these logics do not impose any...
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Neoclassical Logic, Cloisonnist Vagueness, Nonobjectual Truth
In a series of works, Alan Weir has suggested that the paradoxes are due not so much to the operational principles of classical logic, but to some of...
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Wright’s Strict Finitistic Logic in the Classical Metatheory: The Propositional Case
Crispin Wright in his 1982 paper argues for strict finitism, a constructive standpoint that is more restrictive than intuitionism. In its appendix,...
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Indeterminacy and Non-classical Logic
This paper is a response to a challenge set by Timothy Williamson in his Contribution to this volume where he argues that, even leaving aside the...
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Names and Quantifiers: Bringing Them Together in Classical Logic
Putting individual constants and quantifiers into the same syntactic category within first-order language promises to have far-reaching consequences:...
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Epistemic Contradictions Do Not Threaten Classical Logic
Epistemic contradictions are now a well-known and often discussed phenomenon among those who study epistemic modals. These contradictions are...
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Classical Logic is not Uniquely Characterizable
I show that it is not possible to uniquely characterize classical logic when working within classical set theory. By building on recent work by...
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Can Non-classical Logic Treat Mathematics as Exceptional?
The paper criticizes a ‘lazy’ strategy popular amongst contemporary advocates of non-classical logic motivated by non-mathematical phenomena (e.g....
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Meaning-Preserving Translations of Non-classical Logics into Classical Logic: Between Pluralism and Monism
In order to prove the validity of logical rules, one has to assume these rules in the metalogic. However, rule-circular ‘justifications’ are...
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Truth-Value Constants in Multi-Valued Logics
In some presentations of classical and intuitionistic logics, the objectlanguage is assumed to contain (two) truth-value constants: ⊤ (verum) and ⊥...
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The Problem of Truth in Quantum Mechanics
There is a large literature on the issue of the lack of properties (i.e. accidents) in quantum mechanics (the problem of “hidden variables”) and also...
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Truth and Falsity in Buridan’s Bridge
This paper revisits Buridan’s Bridge paradox ( Sophismata , chapter 8, Sophism 17), itself close kin to the Liar paradox, a version of which also...
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Why classical logic is privileged: justification of logics based on translatability
In Sect. 1 it is argued that systems of logic are exceptional, but not a priori necessary. Logics are exceptional because they can neither be...
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Quine’s conflicts with truth deflationism
Compared to the extensive amount of literature on various themes of W.V.O. Quine’s philosophy, his immanent concept of truth remains a relatively...
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Naïve Truth and the Evidential Conditional
This paper develops the idea that valid arguments are equivalent to true conditionals by combining Kripke’s theory of truth with the evidential...
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Truth Meets Vagueness. Unifying the Semantic and the Soritical Paradoxes
Semantic and soritical paradoxes display remarkable family resemblances. For one thing, several non-classical logics have been independently applied...