We employ a recently developed methodology -- called "structural refinement" -- to extract nested sequent systems for a sizable class of intuitionistic modal logics from their respective labelled sequent systems. This method can be seen as a means by which labelled sequent systems can be transformed into nested sequent systems through the introduction of propagation rules and the elimination of structural rules, followed by a notational translation. The nested systems we obtain incorporate propagation rules that are parameterized (...) with formal grammars, and which encode certain frame conditions expressible as first-order Horn formulae that correspond to a subclass of the Scott-Lemmon axioms. We show that our nested systems are sound, cut-free complete, and admit hp-admissibility of typical structural rules. (shrink)

This paper shows how to derive nested calculi from labelled calculi for propositional intuitionistic logic and first-order intuitionistic logic with constant domains, thus connecting the general results for labelled calculi with the more refined formalism of nested sequents. The extraction of nested calculi from labelled calculi obtains via considerations pertaining to the elimination of structural rules in labelled derivations. Each aspect of the extraction process is motivated and detailed, showing that each nested calculus inherits favorable proof-theoretic properties from (...) its associated labelled calculus. (shrink)

Hilbert arithmetic in a wide sense, including Hilbert arithmetic in a narrow sense consisting by two dual and anti-isometric Peano arithmetics, on the one hand, and the qubit Hilbert space (originating for the standard separable complex Hilbert space of quantum mechanics), on the other hand, allows for an arithmetic version of Gentzen’s cut elimination and quantum measurement to be described uniformy as two processes occurring accordingly in those two branches. A philosophical reflection also justifying that unity by quantum neo-Pythagoreanism (...) links it to the opposition of propositional logic, to which Gentzen’s cut rule refers immediately, on the one hand, and the linguistic and mathematical theory of metaphor therefore sharing the same structure borrowed from Hilbert arithmetic in a wide sense. An example by hermeneutical circle modeled as a dual pair of a syllogism (accomplishable also by a Turing machine) and a relevant metaphor (being a formal and logical mistake and thus fundamentally inaccessible to any Turing machine) visualizes human understanding corresponding also to Gentzen’s cut elimination and the Gödel dichotomy about the relation of arithmetic to set theory: either incompleteness or contradiction. The metaphor as the complementing “half” of any understanding of hermeneutical circle is what allows for that Gödel-like incompleteness to be overcome in human thought. (shrink)

The purpose of this paper is to introduce a bi-intuitionistic sequent calculus and to give proofs of admissibility for its structural rules. The calculus I will present, called SC2Int, is a sequent calculus for the bi-intuitionistic logic 2Int, which Wansing presents in [2016a]. There he also gives a natural deduction system for this logic, N2Int, to which SC2Int is equivalent in terms of what is derivable. What is important is that these calculi represent a kind of bilateralist reasoning, since (...) they do not only internalize processes of verifcation or provability but also the dual processes in terms of falsifcation or what is called dual provability. In [Wansing, 2017] a normal form theorem for N2Int is stated, here, I want to prove a cut-elimination theorem for SC2Int, i.e., if successful, this would extend the results existing so far. (shrink)

This paper studies the relationship between labelled and nested calculi for propositional intuitionistic logic, first-order intuitionistic logic with non-constant domains and first-order intuitionistic logic with constant domains. It is shown that Fitting’s nested calculi naturally arise from their corresponding labelled calculi—for each of the aforementioned logics—via the elimination of structural rules in labelled derivations. The translational correspondence between the two types of systems is leveraged to show that the nested calculi inherit proof-theoretic properties from their associated labelled calculi, (...) such as completeness, invertibility of rules and cut admissibility. Since labelled calculi are easily obtained via a logic’s semantics, the method presented in this paper can be seen as one whereby refined versions of labelled calculi (containing nested calculi as fragments) with favourable properties are derived directly from a logic’s semantics. (shrink)

This paper and its sequel “look under the hood” of the usual sorts of proof-theoretic systems for certain well-known intuitionistic and classical propositional modal logics. Section 1 is preliminary. Of most importance: a marked formula will be the result of prefixing a formula in a propositional modal language with a step-marker, for this paper either 0 or 1. Think of 1 as indicating the taking of “one step away from 0.” Deductions will be constructed using marked formulas. Section 2 presents (...) the model-theoretic concepts, based on those in [7], that guide the rest of this paper. Section 3 presents Natural Deduction systems IK and CK, formalizations of intuitionistic and classical one-step versions of K. In these systems, occurrences of step-markers allow deductions to display deductive structure that is covered over in familiar “no step” proof-theoretic systems for such logics. Box and Diamond are governed by Introduction and Elimination rules; the familiar K rule and Necessitation are derived (i.e. admissible) rules. CK will be the result of adding the 0-version of the Rule of Excluded Middle to the rules which generate IK. Note: IK is the result of merely dropping that rule from those generating CK, without addition of further rules or axioms (as was needed in [7]). These proof-theoretic systems yield intuitionistic and classical consequence relations by the obvious definition. Section 4 provides some examples of what can be deduced in IK. Section 5 defines some proof-theoretic concepts that are used in Section 6 to prove the soundness of the consequence relation for IK (relative to the class of models defined in Section 2.) Section 7 proves its completeness (relative to that class). Section 8 extends these results to the consequence relation for CK. (Looking ahead: Part 2 will investigate one-step proof-theoretic systems formalizing intuitionistic and classical one-step versions of some familiar logics stronger than K.). (shrink)

I introduce a new formulation of rule consequentialism, defended as an improvement on traditional formulations. My new formulation cleanly avoids what Parfit calls “ideal world” objections. I suggest that those objections arise because traditional formulations incorporate counterfactual comparisons about how things could go differently. My new formulation eliminates those counterfactual comparisons. Part of the interest of the new formulation is as a model of how to reformulate structurally similar views, including various kinds of contractualism.

From my ongoing "Metalogical Plato" project. The aim of the diagram is to make reasonably intuitive how the Socratic elenchos (the logic of refutation applied to candidate formulations of virtues or ruling knowledges) looks and works as a whole structure. This is my starting point in the project, in part because of its great familiarity and arguable claim to being the inauguration of western philosophy; getting this point less wrong would have broad and deep consequences, including for philosophy’s self-understanding. -/- (...) (i.) is the first pass at elenchos in which the Socratic interlocutor does not reflect on knowledge being the crux of the problem. (ii.) is the second, rarer, reflective pass in which they are, making the investigation explicitly about knowledge. Its centrality in the Charmides makes that neglected dialogue of superlative importance. This structure is also the gateway through which the discussion/dialectic crosses into the Agathology (discussion of the form of the good) at Republic 505. -/- The problem of elenchos, then, grasped as a whole structure, is that it seems that knowledge can neither satisfactorily be included in nor excluded from its own scope. The development of the ti esti (“what is ---?”) question leads to the introduction of knowledge into its own scope (i. implicitly, as goodness contrasted with blind rule-following ii. explicitly qua knowledge) while the development of the dual peri tinos (“----about what?) question leads to K’s elimination from its own scope. The introductions are motivated to avoid contradiction, but produce regress; the eliminations are motivated to avoid regress, but produce contradiction. In scholarship, and in the history of philosophy, the ti esti question is universally recognized, to the point of being identified with philosophy’s origin and essence; the peri tinos question is neglected textually and never recognized as the equal dual to the ti esti. This, I claim, has blocked the development of a nontrivial logical appreciation of what Plato's Socrates is up to. (One rather disastrous effect of this neglect is taking Aristotle as the beginning of the development of logic, rather than, correctly, for the beginning of logic’s fatal separation from mathematics and dialectic.) -/- Further, because of this monopticism of the ti esti, the function of consistency in the elenchos has not been understood, even with respect to the ti esti. The ti esti is actually in search of completeness, given a norm of consistency; the peri tinos is in search of consistency, given a norm of completeness. Only appreciating the two questions as dual allows space in the structure to clarify these different orientations relative to consistency. (And, dually, to completeness, whose function in the elenchos is generally entirely missed by scholars and relegated to discussions of eros; it's not out of place there, of course, but its significance is secured here.) Recognizing the duality of the ti esti and peri tinos questions is thus the royal road, in the Socratic-Platonic context, to catching sight of what we post-Cantorians can recognize as the metalogical duality of consistency and completeness. (The salutary disruptive effects of this Plato-Cantor proximity have, of course, been traced in complementary ways by Badiou.) -/- Note that the diagram is supposed to provide a relatively accessible orientation, not to stand on its own, and certainly not to be the last word on any subject. An important qualification (telegraphed in the previous paragraph) is that what elenchos shows is not finally circular or paradoxical, though the problem first presents as such (stubbornly, obdurately, as "difficult" Plato's Socrates always says with characteristic understatement). What is depicted here is meant, at a first pass, to be the shape of that first presentation, the form of the problem of elenchos, rather than of its solution. It's not an accident that this problem strongly resembles "Russell's paradox" (not Russell's not a paradox.) Problem is to solution as RP is to the diagonal theorems. (shrink)

PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...) all booksellers, including Barnes & Noble, Amazon, and brick-and-mortar bookstores under ISBN 978-0-578-88646-6. ●●●●● In light of the length of this book, readers who would like to have a more detailed description of the book's objectives and method may find it helpful to read the detailed and clearly written Wikipedia entry about this work: From the Wikipedia search page, use the search phrase "Critique of Impure Reason". At least at the time of this writing (11/29/2021), the Wikipedia entry is well-researched and accurate. ●●●●● In addition, a "Primer on Bartlett's CRITIQUE OF IMPURE REASON" has been made available by the author. It is available under its title through PhilPapers and other philosophy online archives. ●●●●● COMMENDATIONS OF THIS WORK, from the back cover of the published edition: ●●●●● “I admire its range of philosophical vision.” – Nicholas Rescher, Distinguished University Professor of Philosophy, University of Pittsburgh, author of more than 100 books. ●●●●● “Bartlett’s _Critique of Impure Reason_ is an impressive, bold, and ambitious work. Careful scholarship is balanced by original analyses that lead the reader to recognize the limits of meaning, knowledge, and conceptual possibility. The work addresses a host of traditional philosophical problems, among them the nature of space, time, causality, consciousness, the self, other minds, ontology, free will and determinism, and others. The book culminates in a fascinating and profound new understanding of relativity physics and quantum theory.” – Gerhard Preyer, Professor of Philosophy, Goethe-University, Frankfurt am Main, Germany, author of many books including _Concepts of Meaning_, _Beyond Semantics and Pragmatics_, _Intention and Practical Thought_, and _Contextualism in Philosophy_. ●●●●● “[This work’s] goal is of a unique and difficult species: Dr. Bartlett seeks to develop a formal logical calculus on the basis of transcendental philosophical arguments; in fact, he hopes that this calculus will be the formal expression of the transcendental foundation of knowledge.... I consider Dr. Bartlett’s work soundly conceived and executed with great skill.” – C. F. von Weizsäcker, philosopher and physicist, former Director, Max-Planck-Institute, Starnberg, Germany. ●●●●● “Bartlett has written an American “Prolegomena to All Future Metaphysics.” He aims rigorously to eliminate meaningless assertions, reach bedrock, and place philosophy on a firm foundation that will enable it, like science and mathematics, to produce lasting results that generations to come can build on. This is a great book, the fruit of a lifetime of research and reflection, and it deserves serious attention.” — Martin X. Moleski, former Professor, Canisius College, Buffalo, NY, studies of scientific method, the presuppositions of thought, and the self-referential nature of epistemology. ●●●●● “Bartlett has written a book on what might be called the underpinnings of philosophy. It has fascinating depth and breadth, and is all the more striking due to its unifying perspective based on the concepts of reference and self-reference.” – Don Perlis, Professor of Computer Science, University of Maryland, author of numerous publications on self-adjusting autonomous systems and philosophical issues concerning self-reference, mind, and consciousness. ●●●●● ●●●●● The _Critique of Impure Reason: Horizons of Possibility and Meaning_ comprises a major and important contribution to philosophy. Thanks to the generosity of its publisher, this massive 885-page volume has been published as a free open access eBook (3.75MB) as well as an open access printed edition. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. ●●●●● In Kant’s _Critique of Pure Reason_ we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new _Critique_ focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ _conflict_ with the very preconditions of meaning and of knowledge. ●●●●● This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. ●●●●● The _Critique of Impure Reason_ proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. ●●●●● The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of _possible meaning_ are determined. ●●●●● Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, _metalogical projection_. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. ●●●●● Based on original research and rigorous analysis combined with extensive scholarship, the _Critique of Impure Reason_ develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. ●●●●● CONTENTS AT A GLANCE ▪▪▪▪▪ Preface ▪▪▪▪▪ Foreword by Carl Friedrich von Weizsäcker ▪▪▪▪▪ Acknowledgments ▪▪▪▪▪ Avant-propos: A philosopher’s rallying call ▪▪▪▪▪ Introduction ▪▪▪▪▪ A note to the reader ▪▪▪▪▪ A note on conventions ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART I ▪▪▪▪▪ ▪▪▪▪▪ WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN ▪▪▪▪▪ 1 Philosophical-psychological prelude ▪▪▪▪▪ 2 Putting belief in its place: Its psychology and a needed polemic ▪▪▪▪▪ 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference ▪▪▪▪▪ 4 The stepladder to maximum theoretical generality ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART II ▪▪▪▪▪ THE METALOGIC OF REFERENCE ▪▪▪▪▪ A New Approach to Deductive, Transcendental Philosophy ▪▪▪▪▪ 5 Reference, identity, and identification ▪▪▪▪▪ 6 Self-referential argument and the metalogic of reference ▪▪▪▪▪ 7 Possibility theory ▪▪▪▪▪ 8 Presupposition logic, reference, and identification ▪▪▪▪▪ 9 Transcendental argumentation and the metalogic of reference ▪▪▪▪▪ 10 Framework relativity ▪▪▪▪▪ 11 The metalogic of meaning ▪▪▪▪▪ 12 The problem of putative meaning and the logic of meaninglessness ▪▪▪▪▪ 13 Projection ▪▪▪▪▪ 14 Horizons ▪▪▪▪▪ 15 De-projection ▪▪▪▪▪ 16 Self-validation ▪▪▪▪▪ 17 Rationality: Rules of admissibility ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART III ▪▪▪▪▪ PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE ▪▪▪▪▪ Major Problems and Questions of Philosophy and the Philosophy of Science ▪▪▪▪▪ 18 Ontology and the metalogic of reference ▪▪▪▪▪ 19 Discovery or invention in general problem-solving, mathematics, and physics ▪▪▪▪▪ 20 The conceptually unreachable: “The far side” ▪▪▪▪▪ 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism ▪▪▪▪▪ 22 The projections of time, space, and space-time ▪▪▪▪▪ 23 The projections of causality, determinism, and free will ▪▪▪▪▪ 24 Projections of the self and of solipsism ▪▪▪▪▪ 25 Non-relational, agentless reference and referential fields ▪▪▪▪▪ 26 Relativity physics as seen through the lens of the metalogic of reference ▪▪▪▪▪ 27 Quantum theory as seen through the lens of the metalogic of reference ▪▪▪▪▪ 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory ▪▪▪▪▪ ▪▪▪▪▪ PART IV ▪▪▪▪▪ HORIZONS ▪▪▪▪▪ 29 Beyond belief ▪▪▪▪▪ 30 _Critique of Impure Reason_: Its results in retrospect ▪▪▪▪▪ ▪▪▪▪▪ SUPPLEMENT ▪▪▪▪▪ The Formal Structure of the Metalogic of Reference ▪▪▪▪▪ APPENDIX I ▪▪▪▪▪ The Concept of Horizon in the Work of Other Philosophers ▪▪▪▪▪ APPENDIX II ▪▪▪▪▪ Epistemological Intelligence ▪▪▪▪▪ References ▪▪▪▪▪ Index ▪▪▪▪▪ About the author. 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In the introduction I argue that the basic element (or primitive) for constructing the physical universe is "displacement from a prior level", and the basic structure is "a sequence of such displacements" (summarized as postulates 1 and 2). The displacements are then defined as one-dimensional objects with a direction (postulate 3). The relations between these displacements are stated in postulate 4. In section 2 we discuss basic consequences of the postulates, and in section 3 we use the postulates to derive (...) a (3+1)-dimensional structure, interpreted as ordinary space and time. We then derive further properties of space --- isotropy, homogeneity, and a rapid early expansion (i.e. inflation). Time, comporting with experience, is shown to be a one-dimensional stream --- with a direction. In section 4 we associate energy with the displacements, and find that the same factors that construct ordinary space (and make it isotropic and homogeneous) also smear the locations of entities/particles across that space --- thereby providing a mechanism/explanation for that iconic and enigmatic aspect of quantum mechanics. We also determine that there must be a continual, uniformly-distributed stream of (non-zero-point) energy coming into the system that constructs new space (i.e. dark energy). The streaming natures of both time and dark energy are shown to have the same basic cause: the processes that input dark energy into the system, and that construct time, are themselves independent of time --- and so they are continual processes. Further consequences follow from the model, including an explanation for why the presence of energy affects space and time, and why quantum vacuum energy is an exception to this rule (i.e. does not gravitate) --- thereby eliminating the cosmological constant problem. A key benefit of the model is that it liberates us from always having to think about the construction of the universe in terms of spatio-temporal relations and evolution (e.g. the big bang model), which is problematic because presumably (and as we will indeed see) space and time are products of the fundamental construction process, not things that govern it. (shrink)

Like '&', '=' is no term; it represents no extrasentential property. It marks an atomic, nonpredicative, declarative structure, sentences true solely by codesignation. Identity (its necessity and total reflexivity, its substitution rule, its metaphysical vacuity) is the objectual face of codesignation. The syntax demands pure reference, without predicative import for the asserted fact. 'Twain is Clemens' is about Twain, but nothing is predicated of him. Its informational value is in its 'metailed' semantic content: the fact of codesignation (that 'Twain' (...) names Clemens) that explains what fact it asserts and why it is necessary. Critiques of concepts of rigidity and elimination of singular terms result. (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of language, the mutual semantic connection of sentences, (...) above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

The conceptual model of United Nations reform - "UN 3.0" includes the General Program of Action on UN Reform, consisting of two stages. The first stage for 2020-2025 envisages the transformation of the main organs of the UN - the General Assembly and the Security Council with measures to improve the effectiveness of the management system, address the "veto problem", problem of financing, improve staff work and administrative and financial control, strengthen UN media, improvement of work with the global civil (...) society. The General Assembly is converted into the General All-Parliamentary Assembly of the UN. In the structure of the Assembly, the Council for Law is being established, which coordinates the activities of UN structures in the field of law. To coordinate the activities of the UN in the field of human rights and civil society, ethical issues, the General all-parliamentary Assembly creates the Council on ethics, human rights and civil society and transforms the Committee on information into the Council on public information and communication with civil society. The structure of the Council includes all UN media. The reform of the UN Security Council is carried out in three sub-stages. At the 1st sub-stage (2020-2021) the Security Council is transformed into the Council of Existential Security (CES). The membership of the CES is increased to 25 member countries, of which five countries have the right of the unconditional (absolute, eternal) veto: Great Britain, France, China, Russian Federation, USA. The General All-Parliamentary Assembly elects 15 new permanent members of the Council of Existential Security with the right of the conditional (limited) veto: Argentina, Australia, Brazil, Canada, Egypt, Germany, India, Indonesia, Italy, Mexico, South Africa, Nigeria, Pakistan , Turkey, Japan (if they fulfill the mandatory restrictive conditions). At this sub-stage, the CES elects also five non-permanent members with the right of a conditional (limited) veto when they meet the mandatory restrictive conditions, with a rotation period of 2 years from geographical regions (or regional unions): Africa, Latin America and the Caribbean, Asia and the Pacific Ocean (2 places), Eastern Europe. On the second sub-stage (2022-2023), subject to the effective activity of the CES of the enlarged composition and compliance with mandatory restrictive conditions, new permanent members of the "Existential Security Council" are elected with the right of a conditional (limited) veto: Iran, Spain, Poland, Saudi Arabia. Members of the CES may be regional unions, whose member countries are not represented in the CES, but still have one vote with the right of a conditional (limited) veto. -/- Two essential levels of the veto: 1. Unconditional (absolute, eternal) veto is the historical right of veto of the five permanent members of the Council of Existential Security - Great Britain, China, Russia, USA, France; 2. Сonditional (limited) veto is the veto of other permanent and non-permanent members of the Council of Existential Security. The right of veto is a unique international school for the achievement of consensus, a school of high democracy for Humanity, a reliable guarantee of the viability of the UN structure. The Council for Existential Security centralises the management of the UN subsidiary bodies with the expansion of their security functions: the Military Staff Committee, the Counter-Terrorism Committee, the Committee for the Prevention of the Spread of Nuclear, Chemical and Biological Weapons, the Sanctions Committees and other committees. On the basis of the decision of the Council of Existential Security, the General All-Parliamentary Assembly creates permanent contingents of UN peacekeeping and counter-terrorism forces. In addition, two Centers are being created in the structure of the Council for Existential Security: the World Center for the Elimination of the Effects of Technogenic and Natural Disasters with branches on all continents and the World Center for the Analysis of Existential Risks and the Overall Security Strategy. The Center is developing the Programs of research and monitoring of global existential threats and risks. In order to increase the level of legitimacy and authority of the Secretary General of the United Nations, the Rules of procedure for elections to this post are changing. Each member country of the Council for Existential Security represents one of the most authoritative candidates for election to the post of Secretary General at the session of the General All-Parliamentary Assembly, with the possibility of nominating candidates from other countries, including those not members of the Council for Existential Security. Elections are held in two rounds during one day of the session of the Assembly. The Legal Committee of the UN General Assembly is developing a Program for the Reform of the Judicial System of the United Nations, which takes into account the proposals of the previous international discussion and determines the scope and terms of the reform of the courts. In accordance with the Program of Action on UN Reform for 2020-2025, reforms are under way in the structure of the Economic and Social Council. The central task of the reform is to strengthen the coordinating role of ECOSOC in the entire system of UN-related specialized agencies, funds and programs related to the Council. The key task of the UN reform is the solution of the financing problem. A unified "UN Open Budget "Solidarity XXI" is being created, including the financing of peacekeeping operations and other expenses. Each country, a member of the United Nations, lists in an established period, once a year, an Existential contribution - the Earth Tax. The Earth Tax for each UN member state is established on the basis of four scales of calculation: Scale I - for 5 permanent members of the Council of Existential Security, who have the right of absolute (absolute) veto; Scale II - for the permanent members of the SEB, who have the right to a conditional (limited) veto; Scale III - for non-permanent members of the SEB, who have the right to a conditional (limited) veto; Scale IV - for all other UN member countries. The program of action on UN reform includes a set of measures to ensure transparent work of the International Civil Service Commission with the involvement of the UN media. To strengthen control functions in the sphere of personnel policy, administrative and financial management, the General All-Parliamentary Assembly of the United Nations establishes the Permanent Commission on Ethics and Administrative and Financial Control. All members of the Commission, members of the Committees and auditors are independent in their activities from the leadership of the United Nations, its funds and programs. The General All-Parliamentary Assembly completes the first stage of the Program of Action on UN Reform in 2025 and, following an open discussion, introduces a single language of international communication - Esperanto and approves it as the official language of the United Nations. With a view to more effective work of the central UN governing bodies in the face of increasing existential threats and risks, reducing the current expenses for the maintenance of the central bodies of the UN, the Council for Existential Security and the General All-Parliamentary Assembly decide on the relocation of the UN headquarters to Iceland. The UN building complex in New York is transferred to preferential use of non-governmental organizations, which contribute to the implementation of the goals of the United Nations. At the second stage of the UN reform in the period 2026-2028, additional necessary transformations are being made in the UN system. At the end of the first stage of the reform, taking into account the reforms carried out by the main organs of the United Nations and the internal improvement of the work of all its structures, the United Nations Program of Action for the years 2026-2028 is being developed. (shrink)

This paper studies a formalisation of intuitionistic logic by Negri and von Plato which has general introduction and elimination rules. The philosophical importance of the system is expounded. Definitions of ‘maximal formula’, ‘segment’ and ‘maximal segment’ suitable to the system are formulated and corresponding reduction procedures for maximal formulas and permutative reduction procedures for maximal segments given. Alternatives to the main method used are also considered. It is shown that deductions in the system convert into normal form and that (...) deductions in normal form have the subformula property. (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways (...) in which a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

Brad Hooker’s rule-consequentialism and T.M. Scanlon’s contractualism have been some of the most debated ethical theories in normative ethics during the last twenty years or so. This article suggests that these theories can be compared at two levels. Firstly, what are the deep, structural differences between the rule-consequentialist and contractualist frameworks in which Hooker and Scanlon formulate their views? Secondly, what are the more superficial differences between Hooker’s and Scanlon’s formulations of these theories? Based on exploring these (...) questions and several purported differences between Hooker’s and Scanlon’s views, this article argues that, at the structural level, the two theories are more similar than previous recognised. It suggests that there is only one candidate for a deeper difference and even it may not be that significant. This insight sheds new light on both contractualism and rule-consequentialism, and it will also help us to formulate better versions of the views. (shrink)

The paper studies a cluster of systems for fully disquotational truth based on the restriction of initial sequents. Unlike well-known alternative approaches, such systems display both a simple and intuitive model theory and remarkable proof-theoretic properties. We start by showing that, due to a strong form of invertibility of the truth rules, cut is eliminable in the systems via a standard strategy supplemented by a suitable measure of the number of applications of truth rules to formulas in derivations. Next, we (...) notice that cut remains eliminable when suitable arithmetical axioms are added to the system. Finally, we establish a direct link between cut-free derivability in infinitary formulations of the systems considered and fixed-point semantics. Noticeably, unlike what happens with other background logics, such links are established without imposing any restriction to the premisses of the truth rules. (shrink)

In this paper I argue that the anti-reductionist thesis supports a case for the uselessness of intentional idioms in the interpretation of highly flexible, self-modifying agents that I refer to as “hyperplastic” agents. An agent is hyperplastic if it can make arbitrarily fine changes to any part of its functional or physical structure without compromising its agency or its capacity for hyperplasticity. Using Davidson’s anomalous monism (AM) as an exemplar of anti-reductionism, I argue that AM implies that no hyperplastic could (...) use intentional psychology to predict its future intentional states or the psychological consequences of self-alterations. This is because AM implies there would be no laws allowing the hyperplastic to infer the psychological consequences of its self-alterations. This implies that no generalisations linking current to future psychological states would hold either - these could always be defeated by a self-intervention carried out by the hyperplastic. By the same token, neither hyperplastics nor human interpreters could use intentional psychology to understand the behaviour of other hyperplastics. Radical interpretation of hyperplastic agents - if such there were - would be impossible. It follows that were humans to become hyperplastic posthumans, intentional psychology would have to be instrumentally eliminated because neither the capacity nor the linguistic idiom for attributing propositional attitudes would retain predictive or hermeneutic utility. (shrink)

This paper argues that the problematic of rule following in Wittgenstein's Philosophical Investigations and Heidegger's analysis of anxiety in Being and Time have analogous structures. Working through these analogies helps our interpretation of both of these authors. Contrasting sceptical and anti-sceptical readings of Wittgenstein helps us to resolve an interpretive puzzle about what an authentic response to anxiety looks like for Heidegger. And considering the importance of anxiety to Heidegger's conception of authenticity allows us to locate in Wittgenstein's later (...) philosophy a covert appeal to something resembling Heideggerian authenticity. (shrink)

In “What Makes a Transnational Rule of Law? Understanding the Logos and Values of Human Action in Transnational Law”, Veronica Rodriguez-Blanco explores the possibility—and opportunity—of the existence of a Rule of Law (from now on, RoL) on a transnational level. The aim of this paper is to briefly discuss some points related to various facets of Rodriguez-Blanco’s proposal: the correct question about the RoL and her particular view of human action (section 2); the type of explanation about rules, (...) standards, regulations and principles (section 3); the definitions of RoL, coercion, and freedom (section 4); the parties of the relevant relationship and the notion of transnational law (section 5); and the structure of relevant relationships in national and transnational contexts (section 6). I will try, on the one hand, to show how these points could appear quite problematic and thus seem to undermine the integrity of Rodriguez-Blanco’s proposal, and on the other hand, to offer some suggestions as to how these problems could be solved to strengthen her proposal. With these comments, I will also try to indicate what I think are the most important points that should be considered in any sound discourse or proposal on these subjects. I will then conclude with some final remarks (section 7). (shrink)

In this paper, I present a game-theoretic solution to the rule-following paradox in terms of what I will call basic constitutive practices. The structure of such a practice P constitutes what it is to take part in P by defining the correctness conditions of our most basic concepts as those actions that lie on the correlated equilibrium of P itself. Accordingly, an agent S meant addition by his use of the term ‘+’ because S is taking part in a (...) basic constitutive practice of adding where quus-like answers are ruled out by not lying on the equilibrium. The resulting picture of language will preserve the objectivity and correctness conditions of meaning, all the while providing room for the community as a whole to make a mistake. I also argue that by accepting the account presented, we have a strong reason to reject the idea that language is rule-governed. (shrink)

1. Do models formulated in programming languages use explicit rules where connectionist models do not? 2. Are rules as found in programming languages hard, precise, and exceptionless, where connectionist rules are not? 3. Do connectionist models use rules operating on distributed representations where models formulated in programming languages do not? 4. Do connectionist models fail to use structure sensitive rules of the sort found in "classical" computer architectures? In this chapter we argue that the answer to each of these questions (...) is negative. (shrink)

In this paper, I argue that the disjunction elimination rule presupposes the principle that a true disjunction contains at least one true disjunct. However, in some contexts such as supervaluationism or quantum logic, we have good reasons to reject this principle. Hence, disjunction elimination is restricted in at least one respect: it is not applicable to disjunctions for which this principle does not hold. The insight that disjunction elimination presupposes the principle that a true disjunction contains (...) at least one true disjunct is applied to two arguments which argue for this very principle. I show that these arguments are rule-circular since they rest on disjunction elimination. I claim that rule-circularity better explains why the arguments fail than the explanations provided by Rumfitt (2015), which, for instance, rely on controversial principles about truth. (shrink)

As an indirect ethical theory, rule consequentialism first evaluates moral codes in terms of how good the consequences of their general adoption are and then individual actions in terms of whether or not the optimific code authorises them. There are three well-known and powerful objections to rule consequentialism’s indirect structure: the ideal world objection, the rule worship objection, and the incoherence objection. These objections are all based on cases in which following the optimific code has suboptimal consequences (...) in the real world. After outlining the traditional objections and the cases used to support them, this paper first constructs a new hybrid version of consequentialism that combines elements of both act and rule consequentialism. It then argues that this novel view has sufficient resources for responding to the previous traditional objections to pure rule consequentialism. (shrink)

Background: Efforts to better understand and improve letters of recommendation (LORs) in the resident selection process have identified unwritten rules and hidden practices that may limit their effectiveness. The objective of our study is to explore these unwritten rules and hidden practices more fully in one Canadian academic medical community. -/- Methods: We conducted semi-structured, discourse-based interviews with 18 faculty members from the departments of Internal Medicine and Psychiatry at the University of Manitoba, Canada. Interviews were guided by sample LORs (...) and were focused on experiences with either writing or reading LORs. We analyzed interviews using key concepts from genre theory and Aristotle’s appeals to ethos, logos, and pathos. -/- Results: Participants described how the practices surrounding LORs are guided by unwritten rules. These practices contributed to writers’ use of visible strategies and textual silence to establish credibility, build a strong case, and appeal to readers. Readers rely on similar strategies, but not always as intended by the writers. -/- Conclusions: The unwritten rules of one academic community can impede a nationally-facilitated resident selection process. Our findings highlight how critiques and potential improvements to LORs could benefit from considering the use of visible and invisible rhetorical strategies in specific contexts. (shrink)

A cross-sectional study was done on 50 ethics committee members from 15 different Ethics Committee (EC) over a period of 6 months from February 2018 to June 2018 to understand the structure and function of ECs in Bangladesh. Most of the ECs were male predominant (66.3%) and maximum ECs had technical members (93.33%). Only 8.3% ECs had lay person. Forty percent of the ECs did not update SOP routinely. Most of the ECs had no provision of training for its members (...) (79.2%) and had no budget (71.8%). Maximum ECs service were voluntary (82.22%). Different ECs had different quorum to start the meeting. A little less than half of the respondents (45.76%) felt that their decision had not been noted down if disagreed against majority of vote in the ECs and did not placed in the meeting’s minutes. Maximum respondents (88.18%) did not know whether there was any law in Bangladesh to create a EC. A big percentage (89%) of ECs did not monitored by authorized body to guide and oversee the functioning of ECs. This article concluded that some ECs followed the international rules and regulation to formation and function the ECs but still a handsome number of ECs were lag behind in Bangladesh. The capacity of ECs can only be strengthened by training and various recognition/accreditation programs. (shrink)

In this paper, the relationship between the e-value of a complex hypothesis, H, and those of its constituent elementary hypotheses, Hj, j = 1… k, is analyzed, in the independent setup. The e-value of a hypothesis H, ev, is a Bayesian epistemic, credibility or truth value defined under the Full Bayesian Significance Testing mathematical apparatus. The questions addressed concern the important issue of how the truth value of H, and the truth function of the corresponding FBST structure M, relate to (...) the truth values of its elementary constituents, Hj, and to the truth functions of their corresponding FBST structures Mj, respectively. (shrink)

Lewis Carroll’s 1895 paper “Achilles and the Tortoise” showed that we need a distinction between rules of inference and premises. We cannot, on pain of regress, treat all rules simply as further premises in an argument. But Carroll’s paper doesn’t say very much about what rules there must be. Indeed, it is consistent with what Carroll says there to think that the only rule is -elimination. You might think that modern Bayesians, who seem to think that the only (...) rule of inference they need is conditionalisation, have taken just this lesson from Carroll. But obviously nothing in Carroll’s argument rules out there being other rules as well. (shrink)

In this paper I examine the sixth century ’Rule of St. Benedict’, and argue that the authority structure of Benedictine communities as described in that document satisfies well-known principles of authority defended by Joseph Raz. This should lead us to doubt the common assumption that premodern models of authority violate the modern ideal of the autonomy of the self. I suggest that what distinguishes modern liberal authority from Benedictine authority is not the principles that justify it, but rather the (...) first-order beliefs for the sake of which authority is sought by the individual, and the degree of trust between the authority and the subject. (shrink)

The perceptual symbol system view assumes that perceptual representations have a role-argument structure. A role-argument structure is often incorporated into amodal symbol systems in order to explain conceptual functions like abstraction and rule use. The power of perceptual symbol systems to support conceptual functions is likewise rooted in its use of structure. On Barsalou's account, this capacity to use structure (in the form of frames) must be innate.

My aim in this chapter is to extend the Realist account of the foundations of linguistics offered by Postal, Katz and others. I first argue against the idea that naive Platonism can capture the necessary requirements on what I call a ‘mixed realist’ view of linguistics, which takes aspects of Platonism, Nominalism and Mentalism into consideration. I then advocate three desiderata for an appropriate ‘mixed realist’ account of linguistic ontology and foundations, namely (1) linguistic creativity and infinity, (2) linguistics as (...) a theory of types (and not tokens) and (3) independence but structural respect between language and the linguistic competence thereof. My own brand of mixed realism, what I call ante rem realism, is defended along the lines of an ante rem or non-eliminative structuralism, the likes of which has been offered for mathematics by Resnik (1997) and Shapiro (1997). In other words, grammars describe a mind-independent (but not necessarily unconnected) linguistic reality in terms of linguistic patterns or structures also known as natural languages. I further amend this picture to allow for the possibility of a naturalistic account of language acquisition and evolution by arguing against a particular view of the type-token distinction. (shrink)

As the ongoing literature on the paradoxes of the Lottery and the Preface reminds us, the nature of the relation between probability and rational acceptability remains far from settled. This article provides a novel perspective on the matter by exploiting a recently noted structural parallel with the problem of judgment aggregation. After offering a number of general desiderata on the relation between finite probability models and sets of accepted sentences in a Boolean sentential language, it is noted that a (...) number of these constraints will be satisfied if and only if acceptable sentences are true under all valuations in a distinguished non-empty set W. Drawing inspiration from distance-based aggregation procedures, various scoring rule based membership conditions for W are discussed and a possible point of contact with ranking theory is considered. The paper closes with various suggestions for further research. (shrink)

Kant’s pre-1770 philosophy responded to the mind-body problem by applying a theory of “physical influx”. His encounter with Swedenborg’s mysticism, however, left him disillusioned with any dualist solution to Descartes’ problem. One of the major goals of the Critical philosophy was to provide a completely new solution to the mind-body problem. Kant’s new solution is “perspectival” in the sense that all Critical theories are perspectival: it acknowledges a deep truth in both of the controversy’s extremes (i.e., what we might nowadays (...) call eliminative materialism and an absolutely ideal folk psychology), by viewing both as ways of considering the issue, rather than as the only correct approach. Once we take into account its perspectival character, a new way of understanding Kant’s philosophy of mind emerges. The mind is no longer separate from the body, but is a manifestation of it, viewed from another (specifically human, rational) perspective. Kant’s transcendental conditions of knowledge (spatio-temporal intuition, categorial conception, and principled schematization) do not portray the mind as somehow creating the physical world; rather, they imply the opposite, that knowledge of objects is necessarily structured by a set of unconscious assumptions about the physical world. Our pre-conscious (or pre-mental, in Descartes’ sense of “mental”) encounter with an assumed spatio-temporal, causal nexus is entirely physical. A reincarnated Kant’s solution to today’s mind-body problem would be: eliminative materialism is good science; but only the “explanatory idealist” can consistently be an eliminative materialist. Philosophically, multiple perspectives are necessary in order to understand anything we say or do. (shrink)

This paper examines theories of first person authority proposed by Dorit Bar-On (2004), Crispin Wright (1989a) and Sydney Shoemaker (1988). What all three accounts have in common is that they attempt to explain first person authority by reference to the way our language works. Bar-On claims that in our language self-ascriptions of mental states are regarded as expressive of those states; Wright says that in our language such self-ascriptions are treated as true by default; and Shoemaker suggests that they might (...) arise from our capacity to avoid Moore-paradoxical utterances. I argue that Bar-On’s expressivism and Wright’s constitutive theory suffer from a similar problem: They fail to explain how it is possible for us to instantiate the language structures that supposedly bring about first person authority. Shoemaker’s account does not suffer from this problem. But it is unclear whether the capacity to avoid Moore-paradoxical utterances really yields self-knowledge. Also, it might be that self-knowledge explains why we have this capacity rather than vice versa. (shrink)

Recently, a strong hylomorphic reading of Aristotelian emotions has been put forward, one that allegedly eliminates the problem of causal interaction between soul and body. Taking the presentation of emotions in de An. I 1 as a starting point and basic thread, but relying also on the discussion of Rh. II, I will argue that this reading only takes into account two of the four causes of emotions, and that, if all four of them are included into the picture, then (...) a causal interaction of mind and body remains within Aristotelian emotions, independent of how strongly their hylomorphism is understood. Beyond the discussion with this recent reading, the analysis proposed of the fourfold causal structure of emotions is also intended as a hermeneutical starting point for a comprehensive analysis of particular emotions in Aristotle. Through the different causes Aristotle seems to account for many aspects of the complex phenomenon of emotion, including its physiological causes, its mental causes, and its intentional object. (shrink)

The purpose of this paper is to analyze the structure and the defeasibility conditions of argument from analogy, addressing the issues of determining the nature of the comparison underlying the analogy and the types of inferences justifying the conclusion. In the dialectical tradition, different forms of similarity were distinguished and related to the possible inferences that can be drawn from them. The kinds of similarity can be divided into four categories, depending on whether they represent fundamental semantic features of the (...) terms of the comparison or non-semantic ones, indicating possible characteristics of the referents. Such distinct types of similarity characterize different kinds of analogical arguments, all based on a similar general structure, in which a common genus is abstracted. Depending on the nature of the abstracted common feature, different rules of inference will apply, guaranteeing the attribution of the analogical predicate to the genus and to the primary subject. This analysis of similarity and the relationship thereof with the rules of inference allows a deeper investigation of the defeasibility conditions. (shrink)

The topics approached in the 52 papers included in this book are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; multi-criteria group decision-making (MCGDM); expert set; soft sets; LA-semihypergroups; single (...) valued trapezoidal neutrosophic number; inclusion relation; Q-linguistic neutrosophic variable set; vector similarity measure; fundamental neutro-homomorphism theorem; neutro-isomorphism theorem; quasi neutrosophic triplet loop; quasi neutrosophic triplet group; BE-algebra; cloud model; Maclaurin symmetric mean; pseudo-BCI algebra; hesitant fuzzy set; photovoltaic plan; decision-making trial and evaluation laboratory (DEMATEL); Choquet integral; fuzzy measure; clustering algorithm; and many more. (shrink)

An ongoing debate in the philosophy of emotion concerns the relationship between two prima facie aspects of emotional states. The first is affective: felt and/or motivational. The second, which I call object-identifying, represents whatever the emotion is about or directed towards. “Componentialists” – such as R. S. Lazarus, Jesse Prinz, and Antonio Damasio – assume that an emotion’s object-identifying aspect can have the same representational content as a non-emotional state’s, and that it is psychologically separable or dissociable from the emotion’s (...) affective aspect. Some further hold that emotions have no object-identifying aspects of their own, and can properly be said to be about things only in virtue of their associations with other mental states (such as beliefs or perceptions). By contrast, “blenderists” – such as Peter Goldie, York Gunther, and Matthew Ratcliffe – insist that the two aspects are indissociable, because the affective aspect “infuses” the object-identifying aspect, altering the subject’s concept or percept of the object. As a result, an emotion’s object-identifying aspect cannot possibly have the same representational content as any non-emotional state’s. I argue that the strongest blenderist arguments fail to rule out plausible componentialist alternatives, and that the blenderists’ broader motivations are orthogonal to structural issues. (shrink)

The Normative Structure of Responsibility deals with responsibility in legal, moral, and linguistic contexts. The book builds on conceptual analysis and data from everyday language, ethics, and the law in order to defend the thesis that responsibility is fundamentally normative, that is, it cannot be reduced to purely descriptive factors. The book is divided in three parts: the first part draws a conceptual map of various responsibility concepts, conceptions and conditions and their interaction with different kinds of rules; the second (...) part engages with arguments in favour of a descriptive understanding of responsibility based on ethics, neuroscience, and metaphysics and argues against it; the third part investigates the language of responsibility and its use in formal and informal contexts. (shrink)

While Autonomous Weapons Systems have obvious military advantages, there are prima facie moral objections to using them. By way of general reply to these objections, I point out similarities between the structure of law and morality on the one hand and of automata on the other. I argue that these, plus the fact that automata can be designed to lack the biases and other failings of humans, require us to automate the formulation, administration, and enforcement of law as much as (...) possible, including the elements of law and morality that are operated by combatants in war. I suggest that, ethically speaking, deploying a legally competent robot in some legally regulated realm is not much different from deploying a more or less well-armed, vulnerable, obedient, or morally discerning soldier or general into battle, a police officer onto patrol, or a lawyer or judge into a trial. All feature automaticity in the sense of deputation to an agent we do not then directly control. Such relations are well understood and well-regulated in morality and law; so there is not much challenging philosophically in having robots be some of these agents — excepting the implications of the limits of robot technology at a given time for responsible deputation. I then consider this proposal in light of the differences between two conceptions of law. These are distinguished by whether each conception sees law as unambiguous rules inherently uncontroversial in each application; and I consider the prospects for robotizing law on each. Likewise for the prospects of robotizing moral theorizing and moral decision-making. Finally I identify certain elements of law and morality, noted by the philosopher Immanuel Kant, which robots can participate in only upon being able to set ends and emotionally invest in their attainment. One conclusion is that while affectless autonomous devices might be fit to rule us, they would not be fit to vote with us. For voting is a process for summing felt preferences, and affectless devices would have none to weigh into the sum. Since they don't care which outcomes obtain, they don't get to vote on which ones to bring about. (shrink)

In this paper I elicit a prediction from structural realism and compare it, not to a historical case, but to a contemporary scientific theory. If structural realism is correct, then we should expect physics to develop theories that fail to provide an ontology of the sort sought by traditional realists. If structure alone is responsible for instrumental success, we should expect surplus ontology to be eliminated. Quantum field theory (QFT) provides the framework for some of the best confirmed (...) theories in science, but debates over its ontology are vexed. Rather than taking a stand on these matters, the structural realist can embrace QFT as an example of just the kind of theory SR should lead us to expect. Yet, it is not clear that QFT meets the structuralist's positive expectation by providing a structure for the world. In particular, the problem of unitarily inequivalent representations threatens to undermine the possibility of QFT providing a unique structure for the world. In response to this problem, I suggest that the structuralist should endorse pluralism about structure. (shrink)

This article is devoted to thirtieth anniversary of the first publication in 1982 Saul Kripke's book "Wittgenstein on rules and private language". Radical skeptical interpretation of the work 'late' Ludwig Wittgenstein proposed by Saul Kripke in this book is considered one of the most famous "puzzle" of modern philosophy of language, which has become a source of much debate and discussion on the nature of the linguistic sign and its meaning. This article examines some of the consequences of a radical (...) version of skeptical 'rule-following' paradox by Saul Kripke, which remain in force and effect for finite functions and limited linguistic registers 'Ad finitum'. Thereby questioned the widely held view among analytic philosophers that the skeptical core for Saul Kripke's 'rule-following' paradox is argument 'Ad infinitum' (an inherent source of skepticism for our intention to follow the rule is concluded in itself situation of mastering for us endless function on the limited set of examples), and thus any direct or even moderate solutions of this paradox would be focused to its elimination. Thus proved that including for the field of finite functions and languages described theirs the skeptical force of 'rule-following' paradox itself completely saves. Moreover, undertaken in this article analysis detects a very quaint phenomenon to the field of language registers 'Ad finitum' - the effect of 'replication' (in the using of a linguistic phrase is always a n-th set of empirically equivalent but logically incompatible and even non-identical languages which it belongs). Study of the phenomenon of replication leads to a number of important remarks on many critics of Saul Kripke's skeptical paradox, in particular the famous Oxford philosopher Gordon Baker and Peter Hacker. Thus the concept of 'community speakers' has been called by Saul Kripke for skeptical solution to paradox of him own cannot be eliminated by the concept of 'share' and 'shareable' languages proposed for this aim by Gordon Baker and Peter Hacker. Despite the criticism the skeptical paradox 'rule-following' by Saul Kripke is still the center of attention and remains influential in modern philosophy of language and the meaning theory. (shrink)

The demands of rationality are linked both to our subjective normative perspective (given that rationality is a person-level concept) and to objective reasons or favoring relations (given that rationality is non-contingently authoritative for us). In this paper, I propose a new way of reconciling the tension between these two aspects: roughly, what rationality requires of us is having the attitudes that correspond to our take on reasons in the light of our evidence, but only if it is competent. I show (...) how this view can account for structural rationality on the assumption that intentions and beliefs as such involve competent perceptions of downstream reasons, and explore various implications of the account. (shrink)

It is exhibited that mature scientific economical theory is a set of propositions that describe the relationship between theoretical objects of two types - basic objects and derivative ones. The set of basic objects makes up the aggregate of initial idealizations (the Fundamental Theoretical Scheme or FTS) with no direct reference to experimental data. The derivative theoretical objects are formed from the basic ones according to certain rules. The sets of derivative objects form partial theoretical schemes or PTS. Any mature (...) economics scientific theory grows due to transitions, in order to describe each new experimental situation, from FTS to PTS. Each PTS construction from the FTS represents a problem that cannot be reduced to a strict algorithm. (shrink)

Architecture is about to enter its first magical phase: a time when buildings actively co-operate with their inhabitants; when objects know what they are, where they are, what is near them; when social and physical space lose their type coupling; when wall and partitions change with mood and task. As engineers and scientists explore how to digitse the world around us, the classical constraints of design, ruled so long by the physics of space, time, and materials, are starting to crumble. (...) Documents can be laid down in one place, automatically cloned, and a copy picked up in another. Meetings scheduled for 9am to 10am can be joined by latecomers at noon, who then participate in a captured form of the event and are ‘edited into’ the past. People on the West coast of the USA can participate, in a telepresent way, with their colleagues on the East coast, and hold a meeting against a virtual backdrop, such as a production line in their Taiwanese factory. Walls seem to dematerialise, remote objects can be touched virtually, shaped, passed through one another. Technology is moving inexorably so that being in one place at a time no longer need dominate how we work and play. Material boundaries are losing their meaning, and interface and information space are catch words that architects must master. -/- In this article I will discuss some of the theoretical ideas shaping our new conception of form, function, and interactivity. My view is that of a cognitive scientist interested in how cognition is distributed throughout our environment. Since the ground rules defining the structure of environments are changing, our very idea of how we are embedded in the world is changing. Architecture is at a new frontier. (shrink)

This paper considers a formalisation of classical logic using general introduction rules and general elimination rules. It proposes a definition of ‘maximal formula’, ‘segment’ and ‘maximal segment’ suitable to the system, and gives reduction procedures for them. It is then shown that deductions in the system convert into normal form, i.e. deductions that contain neither maximal formulas nor maximal segments, and that deductions in normal form satisfy the subformula property. Tarski’s Rule is treated as a general introduction (...) class='Hi'>rule for implication. The general introduction rule for negation has a similar form. Maximal formulas with implication or negation as main operator require reduction procedures of a more intricate kind not present in normalisation for intuitionist logic. (shrink)

The research discussed in this paper centers around the convergence of extended reality (XR) platforms, computational design, digital fabrication, and critical urban study practices. Its aim is to cultivate interdisciplinary and multiscalar approaches within these domains. The research endeavor represents a collaborative effort between two primary disciplines: critical urban studies, which prioritize socio-environmental justice, and integrated digital design to production, which emphasize the realization of volumetric or voxel-based structural systems. Moreover, the exploration encompasses augmented reality to assess its utilization (...) in both the assembly process of the structures and the integration of phygital (physical and digital) data with the physical environment. Within the context of these research scopes, this paper introduces FabriCity-XR as an interactive phygital installation. In addition to presenting an overview of the integrated research driven and performative design to production methodologies, the project showcases the practical implementation of web-based augmented reality trails, eliminating the requirement for external applications for interaction. This approach allows users to seamlessly navigate and engage with phygital content overlaid on physical objects using their personal smart devices. The result is a captivating and immersive user experience that effectively merges the physical and digital realms. (shrink)

Bilateral proof systems, which provide rules for both affirming and denying sentences, have been prominent in the development of proof-theoretic semantics for classical logic in recent years. However, such systems provide a substantial amount of freedom in the formulation of the rules, and, as a result, a number of different sets of rules have been put forward as definitive of the meanings of the classical connectives. In this paper, I argue that a single general schema for bilateral proof rules has (...) a reasonable claim to inferentially articulating the core meaning of all of the classical connectives. I propose this schema in the context of a bilateral sequent calculus in which each connective is given exactly two rules: a rule for affirmation and a rule for denial. Positive and negative rules for all of the classical connectives are given by a single rule schema, harmony between these positive and negative rules is established at the schematic level by a pair of elimination theorems, and the truth-conditions for all of the classical connectives are read off at once from the schema itself. (shrink)

Husserl’s Logical Grammar is intended to explain how complex expressions can be constructed out of simple ones so that their meaning turns out to be determined by the meanings of their constituent parts and the way they are put together. Meanings are thus understood as structured contents and classified into formal categories to the effect that the logical properties of expressions reflect their grammatical properties. As long as linguistic meaning reduces to the intentional content of pre-linguistic representations, however, it is (...) not trivial to account for how semantics relates to syntax in this context. In this paper, I analyze Husserl’s Logical Grammar as a system of recursive rules operating on representations and suggest that the syntactic form of representations contributes to their semantics because it carries information about semantic role. I further discuss Husserl’s syntactic account of the unity of propositions and argue that, on this account, logical form supervenes on syntactic form. In the last section I draw some implications for the phenomenology of thought and conjecture that the structural features it displays are likely to convey the syntactic structures of an underlying language-like representational system. (shrink)

This paper explores the relation between victims’ stories and normativity. As a contribution to understanding how the stories of those who have been abused or oppressed can advance moral understanding, catalyze moral innovation, and guide social change, this paper focuses on narrative as a variegated form of representation and asks whether personal narratives of victimization play any distinctive role in human rights discourse. In view of the fact that a number of prominent students of narrative build normativity into their accounts, (...) it might seem obvious that there is a connection between victims’ stories and moral insight. However, the category of victims’ stories spans an enormous variety of texts – private diaries, memoirs written for publication, interviews with journalists or social scientists, depositions prepared by human rights workers, stories shared with like-minded activists or with support groups, stories told to medical professionals, and testimony in courts, truth commissions and asylum hearings, to mention just some of the possibilities. The different contexts of elicitation and the different rules governing expression in these sites should make us wary of ready generalizations about the nature of victims’ narratives. Moreover, I doubt that existing explications of the way in which norms figure in narratives yield satisfactory theories of the contribution victims’ stories can make to discovering and defending just policies and practices. I consider two of the most prominent accounts of the relation between narrative and normativity. For different reasons, the account Anthony Amsterdam and Jerome Bruner present in their work on narrative and law and the account Hayden White presents in his work on narrative and history fail to appreciate the capacity of victims’ stories of abuse to advance understanding of and increase respect for human rights. In defense of the value of victims’ stories, I propose an account of the relation between normativity and a salient type of victim’s narrative that seems especially resistant to integration into human rights discourse. -/- . (shrink)