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Heinrich Wansing [114]H. Wansing [14]
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Heinrich Wansing
Ruhr-Universität Bochum
  1.  76
    Remarks on the Logic of Imagination. A Step Towards Understanding Doxastic Control Through Imagination.Heinrich Wansing - 2017 - Synthese 194 (8):2843-2861.
    Imagination has recently attracted considerable attention from epistemologists and is recognized as a source of belief and even knowledge. One remarkable feature of imagination is that it is often and typically agentive: agents decide to imagine. In cases in which imagination results in a belief, the agentiveness of imagination may be taken to give rise to indirect doxastic control and epistemic responsibility. This observation calls for a proper understanding of agentive imagination. In particular, it calls for the development of a (...)
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  2.  16
    Connexive Logics. An Overview and Current Trends.Hitoshi Omori & Heinrich Wansing - forthcoming - Logic and Logical Philosophy:1.
    In this introduction, we offer an overview of main systems developed in the growing literature on connexive logic, and also point to a few topics that seem to be collecting attention of many of those interested in connexive logic. We will also make clear the context to which the papers in this special issue belong and contribute.
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  3. Some Useful 16-Valued Logics: How a Computer Network Should Think.Yaroslav Shramko & Heinrich Wansing - 2005 - Journal of Philosophical Logic 34 (2):121-153.
    In Belnap's useful 4-valued logic, the set 2 = {T, F} of classical truth values is generalized to the set 4 = (2) = {Ø, {T}, {F}, {T, F}}. In the present paper, we argue in favor of extending this process to the set 16 = ᵍ (4) (and beyond). It turns out that this generalization is well-motivated and leads from the bilattice FOUR₂ with an information and a truth-and-falsity ordering to another algebraic structure, namely the trilattice SIXTEEN₃ with an (...)
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  4.  21
    The Logic of Generalized Truth Values and the Logic of Bilattices.Sergei P. Odintsov & Heinrich Wansing - 2015 - Studia Logica 103 (1):91-112.
    This paper sheds light on the relationship between the logic of generalized truth values and the logic of bilattices. It suggests a definite solution to the problem of axiomatizing the truth and falsity consequence relations, \ and \ , considered in a language without implication and determined via the truth and falsity orderings on the trilattice SIXTEEN 3 . The solution is based on the fact that a certain algebra isomorphic to SIXTEEN 3 generates the variety of commutative and distributive (...)
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  5.  47
    Constructive Negation, Implication, and Co-Implication.Heinrich Wansing - 2008 - Journal of Applied Non-Classical Logics 18 (2-3):341-364.
    In this paper, a family of paraconsistent propositional logics with constructive negation, constructive implication, and constructive co-implication is introduced. Although some fragments of these logics are known from the literature and although these logics emerge quite naturally, it seems that none of them has been considered so far. A relational possible worlds semantics as well as sound and complete display sequent calculi for the logics under consideration are presented.
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  6.  73
    Hyper-Contradictions, Generalized Truth Values and Logics of Truth and Falsehood.Yaroslav Shramko & Heinrich Wansing - 2006 - Journal of Logic, Language and Information 15 (4):403-424.
    In Philosophical Logic, the Liar Paradox has been used to motivate the introduction of both truth value gaps and truth value gluts. Moreover, in the light of “revenge Liar” arguments, also higher-order combinations of generalized truth values have been suggested to account for so-called hyper-contradictions. In the present paper, Graham Priest's treatment of generalized truth values is scrutinized and compared with another strategy of generalizing the set of classical truth values and defining an entailment relation on the resulting sets of (...)
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  7.  17
    Routley Star and Hyperintensionality.Sergei Odintsov & Heinrich Wansing - forthcoming - Journal of Philosophical Logic:1-24.
    We compare the logic HYPE recently suggested by H. Leitgeb as a basic propositional logic to deal with hyperintensional contexts and Heyting-Ockham logic introduced in the course of studying logical aspects of the well-founded semantics for logic programs with negation. The semantics of Heyting-Ockham logic makes use of the so-called Routley star negation. It is shown how the Routley star negation can be obtained from Dimiter Vakarelov’s theory of negation and that propositional HYPE coincides with the logic characterized by the (...)
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  8.  26
    Inference as Doxastic Agency. Part I: The Basics of Justification Stit Logic.Grigory K. Olkhovikov & Heinrich Wansing - 2019 - Studia Logica 107 (1):167-194.
    In this paper we consider logical inference as an activity that results in proofs and hence produces knowledge. We suggest to merge the semantical analysis of deliberatively seeing-to-it-that from stit theory and the semantics of the epistemic logic with justification from. The general idea is to understand proving that A as seeing to it that a proof of A is available. We introduce a semantics of various notions of proving as an activity and present a number of valid principles that (...)
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  9.  22
    Modal Logics with Belnapian Truth Values.Serge P. Odintsov & Heinrich Wansing - 2010 - Journal of Applied Non-Classical Logics 20 (3):279-304.
    Various four- and three-valued modal propositional logics are studied. The basic systems are modal extensions BK and BS4 of Belnap and Dunn's four-valued logic of firstdegree entailment. Three-valued extensions of BK and BS4 are considered as well. These logics are introduced semantically by means of relational models with two distinct evaluation relations, one for verification and the other for falsification. Axiom systems are defined and shown to be sound and complete with respect to the relational semantics and with respect to (...)
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  10.  11
    Varieties of entailment: introduction to the special issue.Heinrich Wansing & Marco Ruffino - forthcoming - Synthese:1-5.
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  11.  48
    Diamonds Are a Philosopher's Best Friends.Heinrich Wansing - 2002 - Journal of Philosophical Logic 31 (6):591-612.
    The knowability paradox is an instance of a remarkable reasoning pattern (actually, a pair of such patterns), in the course of which an occurrence of the possibility operator, the diamond, disappears. In the present paper, it is pointed out how the unwanted disappearance of the diamond may be escaped. The emphasis is not laid on a discussion of the contentious premise of the knowability paradox, namely that all truths are possibly known, but on how from this assumption the conclusion is (...)
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  12. The Logic of Information Structures.H. Wansing - 1993
     
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  13.  21
    Connexive Logic.Heinrich Wansing - 2008 - Stanford Encyclopedia of Philosophy.
  14.  25
    An Axiomatic System and a Tableau Calculus for STIT Imagination Logic.Grigory K. Olkhovikov & Heinrich Wansing - 2018 - Journal of Philosophical Logic 47 (2):259-279.
    We formulate a Hilbert-style axiomatic system and a tableau calculus for the STIT-based logic of imagination recently proposed in Wansing. Completeness of the axiom system is shown by the method of canonical models; completeness of the tableau system is also shown by using standard methods.
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  15.  28
    40 Years of FDE: An Introductory Overview.Hitoshi Omori & Heinrich Wansing - 2017 - Studia Logica 105 (6):1021-1049.
    In this introduction to the special issue “40 years of FDE”, we offer an overview of the field and put the papers included in the special issue into perspective. More specifically, we first present various semantics and proof systems for FDE, and then survey some expansions of FDE by adding various operators starting with constants. We then turn to unary and binary connectives, which are classified in a systematic manner. First-order FDE is also briefly revisited, and we conclude by listing (...)
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  16.  17
    Kripke Completeness of Bi-Intuitionistic Multilattice Logic and its Connexive Variant.Norihiro Kamide, Yaroslav Shramko & Heinrich Wansing - 2017 - Studia Logica 105 (6):1193-1219.
    In this paper, bi-intuitionistic multilattice logic, which is a combination of multilattice logic and the bi-intuitionistic logic also known as Heyting–Brouwer logic, is introduced as a Gentzen-type sequent calculus. A Kripke semantics is developed for this logic, and the completeness theorem with respect to this semantics is proved via theorems for embedding this logic into bi-intuitionistic logic. The logic proposed is an extension of first-degree entailment logic and can be regarded as a bi-intuitionistic variant of the original classical multilattice logic (...)
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  17.  16
    Disentangling FDE -Based Paraconsistent Modal Logics.Sergei P. Odintsov & Heinrich Wansing - 2017 - Studia Logica 105 (6):1221-1254.
    The relationships between various modal logics based on Belnap and Dunn’s paraconsistent four-valued logic FDE are investigated. It is shown that the paraconsistent modal logic \, which lacks a primitive possibility operator \, is definitionally equivalent with the logic \, which has both \ and \ as primitive modalities. Next, a tableau calculus for the paraconsistent modal logic KN4 introduced by L. Goble is defined and used to show that KN4 is definitionally equivalent with \ without the absurdity constant. Moreover, (...)
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  18.  77
    Suszko’s Thesis, Inferential Many-Valuedness, and the Notion of a Logical System.Heinrich Wansing & Yaroslav Shramko - 2008 - Studia Logica 88 (3):405-429.
    According to Suszko's Thesis, there are but two logical values, true and false. In this paper, R. Suszko's, G. Malinowski's, and M. Tsuji's analyses of logical two-valuedness are critically discussed. Another analysis is presented, which favors a notion of a logical system as encompassing possibly more than one consequence relation.
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  19.  49
    External Curries.Heinrich Wansing & Graham Priest - 2015 - Journal of Philosophical Logic 44 (4):453-471.
    Curry’s paradox is well known. The original version employed a conditional connective, and is not forthcoming if the conditional does not satisfy contraction. A newer version uses a validity predicate, instead of a conditional, and is not forthcoming if validity does not satisfy structural contraction. But there is a variation of the paradox which uses “external validity”. And since external validity contracts, one might expect the appropriate version of the Curry paradox to be inescapable. In this paper we show that (...)
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  20.  28
    On Contra-Classical Variants of Nelson Logic N4 and its Classical Extension.Hitoshi Omori & Heinrich Wansing - 2018 - Review of Symbolic Logic 11 (4):805-820.
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  21. Displaying Modal Logic.Heinrich Wansing - 2000 - Studia Logica 66 (3):421-426.
  22.  16
    Hypersequent and Display Calculi – a Unified Perspective.Agata Ciabattoni, Revantha Ramanayake & Heinrich Wansing - 2014 - Studia Logica 102 (6):1245-1294.
    This paper presents an overview of the methods of hypersequents and display sequents in the proof theory of non-classical logics. In contrast with existing surveys dedicated to hypersequent calculi or to display calculi, our aim is to provide a unified perspective on these two formalisms highlighting their differences and similarities and discussing applications and recent results connecting and comparing them.
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  23. From BDI and Stit to Bdi-Stit Logic.Caroline Semmling & Heinrich Wansing - 2008 - Logic and Logical Philosophy 17 (1-2):185-207.
    Since it is desirable to be able to talk about rational agents forming attitudes toward their concrete agency, we suggest an introduction of doxastic, volitional, and intentional modalities into the multi-agent logic of deliberatively seeing to it that, dstit logic. These modalities are borrowed from the well-known BDI (belief-desire-intention) logic. We change the semantics of the belief and desire operators from a relational one to a monotonic neighbourhood semantic in order to handle ascriptions of conflicting but not inconsistent beliefs and (...)
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  24.  8
    Negation as Cancellation, Connexive Logic, and qLPm.Heinrich Wansing - 2018 - Australasian Journal of Logic 15 (2):476-488.
    In this paper, we shall consider the so-called cancellation view of negation and the inferential role of contradictions. We will discuss some of the problematic aspects of negation as cancellation, such as its original presentation by Richard and Valery Routley and its role in motivating connexive logic. Furthermore, we will show that the idea of inferential ineffectiveness of contradictions can be conceptually separated from the cancellation model of negation by developing a system we call qLPm, a combination of Graham Priest’s (...)
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  25.  6
    A More General General Proof Theory.Heinrich Wansing - 2017 - Journal of Applied Logic 25:23-46.
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  26.  2
    Inference as Doxastic Agency. Part II: Ramifications and Refinements.Heinrich Wansing & Grigory K. Olkhovikov - 2017 - Australasian Journal of Logic 14 (4):408-438.
    Justification stit logic is a logic for reasoning about proving as a certain kind of activity, namely seeing to it that a proof is publicly available. It merges the semantical analysis of deliberatively seeing-to-it-that from stit theory and the semantics of the epistemic logic with justification from. In this paper, after recalling its language and basic semantical definitions, various ramifications and refinements of justification stit logic are presented and discussed: imposing natural restrictions upon the class of models under consideration, making (...)
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  27.  60
    Sequent Calculi for Some Trilattice Logics.Norihiro Kamide & Heinrich Wansing - 2009 - Review of Symbolic Logic 2 (2):374-395.
    The trilattice SIXTEEN3 introduced in Shramko & Wansing (2005) is a natural generalization of the famous bilattice FOUR2. Some Hilbert-style proof systems for trilattice logics related to SIXTEEN3 have recently been studied (Odintsov, 2009; Shramko & Wansing, 2005). In this paper, three sequent calculi GB, FB, and QB are presented for Odintsovs coordinate valuations associated with valuations in SIXTEEN3. The equivalence between GB, FB, and QB, the cut-elimination theorems for these calculi, and the decidability of B are proved. In addition, (...)
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  28.  63
    The Idea of a Proof-Theoretic Semantics and the Meaning of the Logical Operations.Heinrich Wansing - 2000 - Studia Logica 64 (1):3-20.
    This is a purely conceptual paper. It aims at presenting and putting into perspective the idea of a proof-theoretic semantics of the logical operations. The first section briefly surveys various semantic paradigms, and Section 2 focuses on one particular paradigm, namely the proof-theoretic semantics of the logical operations.
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  29.  73
    A General Possible Worlds Framework for Reasoning About Knowledge and Belief.Heinrich Wansing - 1990 - Studia Logica 49 (4):523 - 539.
    In this paper non-normal worlds semantics is presented as a basic, general, and unifying approach to epistemic logic. The semantical framework of non-normal worlds is compared to the model theories of several logics for knowledge and belief that were recently developed in Artificial Intelligence (AI). It is shown that every model for implicit and explicit belief (Levesque), for awareness, general awareness, and local reasoning (Fagin and Halpern), and for awareness and principles (van der Hoek and Meyer) induces a non-normal worlds (...)
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  30.  44
    The Power of Belnap: Sequent Systems for SIXTEEN ₃. [REVIEW]Heinrich Wansing - 2010 - Journal of Philosophical Logic 39 (4):369 - 393.
    The trilattice SIXTEEN₃ is a natural generalization of the wellknown bilattice FOUR₂. Cut-free, sound and complete sequent calculi for truth entailment and falsity entailment in SIXTEEN₃, are presented.
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  31. The Slingshot Argument and Sentential Identity.Yaroslav Shramko & Heinrich Wansing - 2009 - Studia Logica 91 (3):429-455.
    The famous “slingshot argument” developed by Church, Gödel, Quine and Davidson is often considered to be a formally strict proof of the Fregean conception that all true sentences, as well as all false ones, have one and the same denotation, namely their corresponding truth value: the true or the false . In this paper we examine the analysis of the slingshot argument by means of a non-Fregean logic undertaken recently by A.Wóitowicz and put to the test her claim that the (...)
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  32.  10
    Combining Linear-Time Temporal Logic with Constructiveness and Paraconsistency.Norihiro Kamide & Heinrich Wansing - 2010 - Journal of Applied Logic 8 (1):33-61.
  33.  20
    Connexive Conditional Logic. Part I.Heinrich Wansing & Matthias Unterhuber - forthcoming - Logic and Logical Philosophy:1.
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  34.  10
    Generalized Truth Values.: A Reply to Dubois.Heinrich Wansing & Nuel Belnap - 2010 - Logic Journal of the IGPL 18 (6):921-935.
  35.  9
    Simplified Tableaux for STIT Imagination Logic.Grigory K. Olkhovikov & Heinrich Wansing - 2019 - Journal of Philosophical Logic 48 (6):981-1001.
    We show how to correct the analytic tableaux system from the paper Olkhovikov and Wansing, 259–279, 2018).
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  36.  8
    A Note On Negation In Categorial Grammar.Heinrich Wansing - 2007 - Logic Journal of the IGPL 15 (3):271-286.
    A version of strong negation is introduced into Categorial Grammar. The resulting syntactic calculi turn out to be systems of connexive logic.
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  37.  87
    A Non-Inferentialist, Anti-Realistic Conception of Logical Truth and Falsity.Heinrich Wansing - 2012 - Topoi 31 (1):93-100.
    Anti-realistic conceptions of truth and falsity are usually epistemic or inferentialist. Truth is regarded as knowability, or provability, or warranted assertability, and the falsity of a statement or formula is identified with the truth of its negation. In this paper, a non-inferentialist but nevertheless anti-realistic conception of logical truth and falsity is developed. According to this conception, a formula (or a declarative sentence) A is logically true if and only if no matter what is told about what is told about (...)
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  38.  4
    Connexive Modal Logic.H. Wansing - 2005 - In Renate Schmidt, Ian Pratt-Hartmann, Mark Reynolds & Heinrich Wansing (eds.), Advances in Modal Logic, Volume 5. CSLI Publications. pp. 367-383.
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  39. What Is Negation?Dov M. Gabbay & Heinrich Wansing - 2001 - Studia Logica 69 (3):435-439.
  40.  77
    Doxastic Decisions, Epistemic Justification, and The Logic of Agency.Heinrich Wansing - 2006 - Philosophical Studies 128 (1):201-227.
    A prominent issue in mainstream epistemology is the controversy about doxastic obligations and doxastic voluntarism. In the present paper it is argued that this discussion can benefit from forging links with formal epistemology, namely the combined modal logic of belief, agency, and obligation. A stit-theory-based semantics for deontic doxastic logic is suggested, and it is claimed that this is helpful and illuminating in dealing with the mentioned intricate and important problems from mainstream epistemology. Moreover, it is argued that this linking (...)
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  41.  41
    Connectives Stranger Than Tonk.Heinrich Wansing - 2006 - Journal of Philosophical Logic 35 (6):653 - 660.
    Many logical systems are such that the addition of Prior's binary connective tonk to them leads to triviality, see [1, 8]. Since tonk is given by some introduction and elimination rules in natural deduction or sequent rules in Gentzen's sequent calculus, the unwanted effects of adding tonk show that some kind of restriction has to be imposed on the acceptable operational inferences rules, in particular if these rules are regarded as definitions of the operations concerned. In this paper, a number (...)
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  42. Connexive Modal Logic.H. Wansing - 2005 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 367-383.
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  43. On Split Negation, Strong Negation, Information, Falsification, and Verification.Heinrich Wansing - 2016 - In Katalin Bimbó (ed.), J. Michael Dunn on Information Based Logics. Springer.
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  44.  69
    Logical Connectives for Constructive Modal Logic.Heinrich Wansing - 2006 - Synthese 150 (3):459-482.
    Model-theoretic proofs of functional completenes along the lines of [McCullough 1971, Journal of Symbolic Logic 36, 15–20] are given for various constructive modal propositional logics with strong negation.
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  45.  30
    Reprint Of: A More General General Proof Theory.Heinrich Wansing - 2017 - Journal of Applied Logic 25:23-46.
    In this paper it is suggested to generalize our understanding of general (structural) proof theory and to consider it as a general theory of two kinds of derivations, namely proofs and dual proofs. The proposal is substantiated by (i) considerations on assertion, denial, and bi-lateralism, (ii) remarks on compositionality in proof-theoretic semantics, and (iii) comments on falsification and co-implication. The main formal result of the paper is a normal form theorem for the natural deduction proof system N2Int of the bi-intuitionistic (...)
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  46.  43
    Informational Interpretation of Substructural Propositional Logics.Heinrich Wansing - 1993 - Journal of Logic, Language and Information 2 (4):285-308.
    This paper deals with various substructural propositional logics, in particular with substructural subsystems of Nelson's constructive propositional logics N– and N. Doen's groupoid semantics is extended to these constructive systems and is provided with an informational interpretation in terms of information pieces and operations on information pieces.
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  47.  9
    Inconsistency-Tolerant Description Logic. Part II: A Tableau Algorithm for CALC C.S. P. Odintsov & H. Wansing - 2008 - Journal of Applied Logic 6 (3):343-360.
  48. Negation: A Notion in Focus.H. Wansing (ed.) - 1996 - W. De Gruyter.
  49.  30
    Displaying the Modal Logic of Consistency.Heinrich Wansing - 1999 - Journal of Symbolic Logic 64 (4):1573-1590.
    It is shown that the constructive four-valued logic N4 can be faithfully embedded into the modal logic S4. This embedding is used to obtain complete, cut-free display sequent calculi for N4 and C4, the modal logic of consistency over N4. C4 is a natural monotonic base system for semantics-based non-monotonic reasoning.
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  50.  6
    Truth Values. Part I.Yaroslav Shramko & Heinrich Wansing - 2009 - Studia Logica 91 (3):429-455.
    The famous “slingshot argument” developed by Church, Gödel, Quine and Davidson is often considered to be a formally strict proof of the Fregean conception that all true sentences, as well as all false ones, have one and the same denotation, namely their corresponding truth value: the true or the false. In this paper we examine the analysis of the slingshot argument by means of a non-Fregean logic undertaken recently by A.Wóitowicz and put to the test her claim that the slingshot (...)
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