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  1. Lennart Åqvist (2014). Deontic Tense Logic With Historical Necessity, Frame Constants, and a Solution to the Epistemic Obligation Paradox (The “Knower”). Theoria 80 (4):319-349.
    In an earlier paper by the author, Åqvist (1999), I presented an approach to the logic of historical necessity, or inevitability, in the sense of a “two-dimensional” combination of tense and modal logic for worlds, or histories, with the same time order, known as T × W logic. Distinctive features of that approach were, apart from its two-dimensionality, its being based on discrete and finite time, and its use of so-called systematic frame constants in order to enable us to indicate (...)
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  2. Lennart Åqvist (2010). Grades of Probability Modality in the Law of Evidence. Studia Logica 94 (3):307 - 330.
    The paper presents an infinite hierarchy PR m [ m = 1, 2, . . . ] of sound and complete axiomatic systems for modal logic with graded probabilistic modalities , which are to reflect what I have elsewhere called the Bolding-Ekelöf degrees of evidential strength as applied to the establishment of matters of fact in law-courts. Our present approach is seen to differ from earlier work by the author in that it treats the logic of these graded modalities not (...)
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  3. Lennart Åqvist (2008). Alchourrón and Bulygin on Deontic Logic and the Logic of Norm-Propositions: Axiomatization and Representability Results. Logique Et Analyse 203:225-261.
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  4. Lennart Åqvist (2008). Some Logico-Semantical Themes in Karl Olivecrona's Philosophy of Law: A Non-Exegetical Approach. Theoria 74 (4):271-294.
    The paper deals with certain issues with which Olivecrona was mainly concerned in his Philosophy of Law, notably (i) his views about the logical or syntactical form of imperatives as used in the law, and (ii) his views on the semantics of imperatives in the law and on the question whether and to what extent the notions of truth and falsity are applicable to those imperatives at all. In the light of an important critical notice of Olivecrona's work by Marc-Wogau (...)
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  5. Lennart Åqvist (2007). An Interpretation of Probability in the Law of Evidence Based on Pro-Et-Contra Argumentation. Artificial Intelligence and Law 15 (4):391-410.
    The purpose of this paper is to improve on the logical and measure-theoretic foundations for the notion of probability in the law of evidence, which were given in my contributions Åqvist [ (1990) Logical analysis of epistemic modality: an explication of the Bolding–Ekelöf degrees of evidential strength. In: Klami HT (ed) Rätt och Sanning (Law and Truth. A symposium on legal proof-theory in Uppsala May 1989). Iustus Förlag, Uppsala, pp 43–54; (1992) Towards a logical theory of legal evidence: semantic analysis (...)
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  6. Lennart Åqvist (2003). Future Contingents and Determinism in Aristotle's De Interpretatione IX: Some Logical Aspects of the So-Called Second Oldest Interpretation. Logique Et Analyse 46 (181):13-48.
  7. Lennart Åqvist (2003). Some Remarks on Performatives in the Law. Artificial Intelligence and Law 11 (2-3):105-124.
    This paper contains an analysis of performatives with special attention to performatives in the law. It deals with the possibility to recognise performativity by means of a grammatical-syntactic criterion, the self-verifying and norm-promulgating character of legal performatives, an analysis of the effects of performatives by means of causal logic, the different forms of performativity and a theory of promise-performatives.
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  8. Lennart Aqvist (2002). Old Foundations for the Logic of Agency and Action. Studia Logica 72 (3):313 - 338.
    The paper presents an infinite hierarchy of sound and complete axiomatic systems for Two-Dimensional Modal Tense Logic with Historical Necessity, Agents and Acts. A main novelty of these logics is their capacity to represent formally (i) basic action-sentences asserting that such and such an act is performed/omitted by an agent, as well as (ii) causative action-sentences asserting that by performing/omitting a certain act, an agent causes that such and such a state-of-affairs is realized (e.g. comes about/ceases/remains/remains absent). We (...)
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  9. Lennart Åqvist (2002). Old Foundations for the Logic of Agency and Action. Studia Logica 72 (3):313-338.
    The paper presents an infinite hierarchy of sound and complete axiomatic systems for Two-Dimensional Modal Tense Logic with Historical Necessity, Agents and Acts. A main novelty of these logics is their capacity to represent formally (i) basic action-sentences asserting that such and such an act is performed/omitted by an agent, as well as (ii) causative action-sentences asserting that by performing/omitting a certain act, an agent causes that such and such a state-of-affairs is realized (e.g. comes about/ceases/remains/remains absent). We illustrate how (...)
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  10. Lennart Åqvist (2000). Three Characterizability Problems in Deontic Logic. Nordic Journal of Philosophical Logic 5 (2):65-82.
    We consider an infinite hierarchy of systems of Alethic Modal Logic with so-called Levels of Perfection, and add to them suitable definitions of such interesting deontic categories as those of supererogation, offence, conditional obligation and conditional permission. We then state three problems concerning the proper characterization of the resulting logic(s) for our defined notions, and discuss two of these problems in some detail.
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  11. Lennart Åqvist (1999). The Logic of Historical Necessity as Founded on Two-Dimensional Modal Tense Logic. Journal of Philosophical Logic 28 (4):329-369.
    We consider a version of so called T x W logic for historical necessity in the sense of R.H. Thomason (1984), which is somewhat special in three respects: (i) it is explicitly based on two-dimensional modal logic in the sense of Segerberg (1973); (ii) for reasons of applicability to interesting fields of philosophical logic, it conceives of time as being discrete and finite in the sense of having a beginning and an end; and (iii) it utilizes the technique of systematic (...)
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  12. Lennart Aqvist (1998). Prima Facie Obligations in Deontic Logic: A Chisholmian Analysis Based on Normative. In Christoph Fehige & Ulla Wessels (eds.), Preferences. De Gruyter. 135.
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  13. Lennart Åqvist (1996). Discrete Tense Logic with Infinitary Inference Rules and Systematic Frame Constants: A Hilbert-Style Axiomatization. [REVIEW] Journal of Philosophical Logic 25 (1):45 - 100.
    The paper deals with the problem of axiomatizing a system T1 of discrete tense logic, where one thinks of time as the set Z of all the integers together with the operations +1 ("immediate successor") and-1 ("immediate predecessor"). T1 is like the Segerberg-Sundholm system WI in working with so-called infinitary inference ruldes; on the other hand, it differs from W I with respect to (i) proof-theoretical setting, (ii) presence of past tense operators and a "now" operator, and, most importantly, with (...)
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  14. Lennart Aqvist (1991). Solution to Chisholm's Paradox. In Georg Schurz (ed.), Advances in Scientific Philosophy. 24--127.
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  15. Lennart Åqvist (1991). Doing the Best We Can. Philosophy and Phenomenological Research 51 (1):215-225.
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  16. Lennart Åqvist (1991). Review: Review Essay: Doing the Best We Can. [REVIEW] Philosophy and Phenomenological Research 51 (1):215 - 225.
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  17. Lennart Åqvist (1989). On the Logic of Causally Necessary and Sufficient Conditions: Towards a Theory of Motive-Explanations of Human Actions. [REVIEW] Erkenntnis 31 (1):43 - 75.
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  18. Lennart Åqvist (1986). Some Results on Dyadic Deontic Logic and the Logic of Preference. Synthese 66 (1):95 - 110.
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  19. Lennart Åqvist (1985). On the Logical Syntax or Linguistic Deep Structure of Certain Crime Descriptions: Prolegomena to the Doctrine of Criminal Intent. Synthese 65 (2):291 - 306.
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  20. Lennart Åqvist & Tom Pauli (eds.) (1982). Philosophical Essays Dedicated to Lennart Åqvist on His Fiftieth Birthday. [Philosophical Society and Dept. Of Philosophy, University of Uppsala].
     
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  21. Lennart Åqvist (1981). Predicate Calculi with Adjectives and Nouns. Journal of Philosophical Logic 10 (1):1 - 26.
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  22. Lennart Åqvist & Jaap Hoepelman (1981). Some Theorems About a “Tree” System of Deontic Tense Logic. In. In Risto Hilpinen (ed.), New Studies in Deontic Logic. 187--221.
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  23. Lennart Åqvist (1979). A Conjectured Axiomatization of Two-Dimensional Reichenbachian Tense Logic. Journal of Philosophical Logic 8 (1):1 - 45.
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  24. Lennart Åqvist (1975). A New Approach to the Logical Theory of Interrogatives: Analysis and Formalization. Tbl Verlag G. Narr.
     
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  25. Lennart Aqvist (1973). The Emotive Theory of Ethics in the Light of Recent Developments in Formal Semantics and Pragmatics. In Sören Halldén (ed.), Modality, Morality and Other Problems of Sense and Nonsense. Lund,Gleerup. 130.
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  26. Lennart Åqvist (1973). Modal Logic with Subjunctive Conditionals and Dispositional Predicates. Journal of Philosophical Logic 2 (1):1 - 76.
  27. Lennart Aqvist (1971). Revised Foundations for Imperative-Epistemic and Interrogative Logic. Theoria 37 (1):33-73.
  28. Lennart Åqvist (1971). Performatives and Verifiability by the Use of Language. Uppsala,Filosofiska Föreningen Och Filosofiska Institutionen Vid Uppsala Universitet.
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  29. Lennart Åqvist (1971). The Completeness of Some Modal Logics with Circumstantials, Subjunctive Conditionals, Transworld Identity and Dispositional Predicates. [Uppsala,Uppsala Universitet].
     
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  30. Lennart Aqvist (1970). Review: D. Makinson, On Some Completeness Theorems in Modal Logic. [REVIEW] Journal of Symbolic Logic 35 (1):135-136.
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  31. Lennart Åqvist (1969). Improved Formulations of Act-Utilitarianism. Noûs 3 (3):299-323.
    The article deals with two problems that arise within moorean style act-utilitarianism (a.u.): (i) how is the notion of 'the alternatives to' a particular action to be explicated? (ii) how should a.u. be formulated in order for it to validate the laws of standard deontic logic? it is argued that these intertwined problems can be solved only if the traditional formulations a a.u. are rejected in favor of some new and more viable ones. in the literature the two problems seem (...)
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  32. Lennart Åqvist (1968). Chisholm-Sosa Logics of Intrinsic Betterness and Value. Noûs 2 (3):253-270.
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  33. Lennart Åqvist (1967). Good Samaritans, Contrary-to-Duty Imperatives, and Epistemic Obligations. Noûs 1 (4):361-379.
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  34. Lennart Åqvist (1967). Semantic and Pragmatic Characterizability of Linguistic Usage. Synthese 17 (1):281 - 291.
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  35. Lennart Åqvist (1967). The Logic of Commands. Philosophical Books 8 (1):18-23.
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  36. Lennart Åqvist (1965). A New Approach to the Logical Theory of Interrogatives. [Uppsala].
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  37. Lennart Åqvist (1965). Choice-Offering and Alternative-Presenting Disjunctive Commands. Analysis 25 (5):182 - 184.
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  38. Lennart Åqvist (1964). A Solution to Moore's Paradox. Philosophical Studies 15 (1-2):1 - 5.
    Moore's paradox pits our intuitions about semantic oddness against the concept of truth-functional consistency. Most solutions to the problem proceed by explaining away our intuitions. But "consistency" is a theory-laden concept, having different contours in different semantic theories. Truth-functional consistency is appropriate only if the semantic theory we are using identifies meaning with truth-conditions. I argue that such a framework is not appropriate when it comes to analyzing epistemic modality. I show that a theory which accounts for a wide variety (...)
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  39. Lennart Åqvist (1964). Interpretations of Deontic Logic. Mind 73 (290):246-253.
    The author is concerned with a minimal system dl of deontic logic, His main purpose being to draw attention to the existence of interpretations of dl that give rise to various systems of what may be called "atheoretical logic." by this we understand logical systems dealing with expressions that are--Very probably at least--Neither true nor false, Such as sentences expressing promises, Intentions, Wishes, Commands, And similar things. As it is well known, The status of atheoretical logic in this sense is (...)
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  40. Lennart Åqvist (1964). Results Concerning Some Modal Systems That Contain S. Journal of Symbolic Logic 29 (2):79-87.
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  41. Lennart Åqvist (1963). A Note on Commitment. Philosophical Studies 14 (1-2):22 - 25.
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  42. Lennart åQvist (1963). Postulate Sets and Decision Procedures for Some Systems of Deontic Logic. Theoria 29 (2):154-175.
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  43. Lennart Äqvist (1962). Comments on the Paradox of Analysis. Inquiry 5 (1-4):260-264.
    A version of the so?called paradox of analysis is enunciated which involves two principles of synonymy, referred to respectively as that of substitution and that of triviality. It is argued that for most ?familiar? concepts of synonymy the former principle can be maintained whereas the latter one has to be rejected. I deal with some solutions to the paradox that have been proposed or discussed by Carnap, Lewy, Feyerabend and Hare, and adhere to Carnap's view that the puzzle arises from (...)
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  44. Lennart Åqvist (1962). On a Supposed Tautology. Analysis 22 (3):66 - 69.
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  45. Lennart Åqvist (1962). Reflections on the Logic of Nonsense. Theoria 28 (2):138-157.
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  46. Lennart Åqvist (1962). Reply to Mr. Pratt. Analysis 22 (6):149 - 151.
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  47. Lennart Åqvist (1962). Semantic Concepts of Expression. Philosophy and Phenomenological Research 23 (1):89-100.
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  48. D. O. Thomas & Lennart Aqvist (1962). The Moral Philosophy of Richard Price. Philosophical Quarterly 12 (49):367.
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