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Carlo Nicolai [30]Walter Nicolai [7]Henri Nicolaï [6]Friedrich Nicolai [5]
Georg Friedrich Nicolai [5]Roberto Nicolai [3]Jean-Paul Nicolaï [3]Susanne Nicolai [2]

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  1.  64
    On the Costs of Nonclassical Logic.Volker Halbach & Carlo Nicolai - 2018 - Journal of Philosophical Logic 47 (2):227-257.
    Solutions to semantic paradoxes often involve restrictions of classical logic for semantic vocabulary. In the paper we investigate the costs of these restrictions in a model case. In particular, we fix two systems of truth capturing the same conception of truth: of the system KF of Feferman formulated in classical logic, and the system PKF of Halbach and Horsten, formulated in basic De Morgan logic. The classical system is known to be much stronger than the nonclassical one. We assess the (...)
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  2. Hypatia's silence.Martin Fischer, Leon Horsten & Carlo Nicolai - 2021 - Noûs 55 (1):62-85.
    Hartry Field distinguished two concepts of type‐free truth: scientific truth and disquotational truth. We argue that scientific type‐free truth cannot do justificatory work in the foundations of mathematics. We also present an argument, based on Crispin Wright's theory of cognitive projects and entitlement, that disquotational truth can do justificatory work in the foundations of mathematics. The price to pay for this is that the concept of disquotational truth requires non‐classical logical treatment.
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  3.  41
    Principles for Object-Linguistic Consequence: from Logical to Irreflexive.Carlo Nicolai & Lorenzo Rossi - 2018 - Journal of Philosophical Logic 47 (3):549-577.
    We discuss the principles for a primitive, object-linguistic notion of consequence proposed by ) that yield a version of Curry’s paradox. We propose and study several strategies to weaken these principles and overcome paradox: all these strategies are based on the intuition that the object-linguistic consequence predicate internalizes whichever meta-linguistic notion of consequence we accept in the first place. To these solutions will correspond different conceptions of consequence. In one possible reading of these principles, they give rise to a notion (...)
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  4. How to Adopt a Logic.Daniel Cohnitz & Carlo Nicolai - forthcoming - Dialectica.
    What is commonly referred to as the Adoption Problem is a challenge to the idea that the principles of logic can be rationally revised. The argument is based on a reconstruction of unpublished work by Saul Kripke. As the reconstruction has it, Kripke extends the scope of Willard van Orman Quine's regress argument against conventionalism to the possibility of adopting new logical principles. In this paper we want to discuss the scope of this challenge. Are all revisions of logic subject (...)
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  5. The Dream of Recapture.Carlo Nicolai - manuscript
    As a response to the semantic and logical paradoxes, theorists often reject some principles of classical logic. However, classical logic is entangled with mathematics, and giving up mathematics is too high a price to pay, even for nonclassical theorists. The so-called recapture theorems come to the rescue. When reasoning with concepts such as truth/class membership/property instantiation, if ones is interested in consequences of the theory that only contain mathematical vocabulary, nothing is lost by reasoning in the nonclassical framework. It is (...)
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  6. Fix, Express, Quantify: Disquotation After Its Logic.Carlo Nicolai - 2021 - Mind 130 (519):727-757.
    Truth-theoretic deflationism holds that truth is simple, and yet that it can fulfil many useful logico-linguistic roles. Deflationism focuses on axioms for truth: there is no reduction of the notion of truth to more fundamental ones such as sets or higher-order quantifiers. In this paper I argue that the fundamental properties of reasonable, primitive truth predicates are at odds with the core tenets of classical truth-theoretic deflationism that I call fix, express, and quantify. Truth may be regarded as a broadly (...)
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  7.  88
    Axiomatic truth, syntax and metatheoretic reasoning.Graham E. Leigh & Carlo Nicolai - 2013 - Review of Symbolic Logic 6 (4):613-636.
    Following recent developments in the literature on axiomatic theories of truth, we investigate an alternative to the widespread habit of formalizing the syntax of the object-language into the object-language itself. We first argue for the proposed revision, elaborating philosophical evidences in favor of it. Secondly, we present a general framework for axiomatic theories of truth with theories of syntax. Different choices of the object theory O will be considered. Moreover, some strengthenings of these theories will be introduced: we will consider (...)
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  8.  44
    Provably True Sentences Across Axiomatizations of Kripke’s Theory of Truth.Carlo Nicolai - 2018 - Studia Logica 106 (1):101-130.
    We study the relationships between two clusters of axiomatizations of Kripke’s fixed-point models for languages containing a self-applicable truth predicate. The first cluster is represented by what we will call ‘\-like’ theories, originating in recent work by Halbach and Horsten, whose axioms and rules are all valid in fixed-point models; the second by ‘\-like’ theories first introduced by Solomon Feferman, that lose this property but reflect the classicality of the metatheory in which Kripke’s construction is carried out. We show that (...)
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  9. Hypatia's silence. Truth, justification, and entitlement.Martin Fischer, Leon Horsten & Carlo Nicolai - manuscript
    Hartry Field distinguished two concepts of type-free truth: scientific truth and disquotational truth. We argue that scientific type-free truth cannot do justificatory work in the foundations of mathematics. We also present an argument, based on Crispin Wright's theory of cognitive projects and entitlement, that disquotational truth can do justificatory work in the foundations of mathematics. The price to pay for this is that the concept of disquotational truth requires non-classical logical treatment.
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  10.  64
    A theory of implicit commitment.Mateusz Łełyk & Carlo Nicolai - 2022 - Synthese 200 (4):1-26.
    The notion of implicit commitment has played a prominent role in recent works in logic and philosophy of mathematics. Although implicit commitment is often associated with highly technical studies, it remains an elusive notion. In particular, it is often claimed that the acceptance of a mathematical theory implicitly commits one to the acceptance of a Uniform Reflection Principle for it. However, philosophers agree that a satisfactory analysis of the transition from a theory to its reflection principle is still lacking. We (...)
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  11.  21
    Systems for Non-Reflexive Consequence.Carlo Nicolai & Lorenzo Rossi - 2023 - Studia Logica 111 (6):947-977.
    Substructural logics and their application to logical and semantic paradoxes have been extensively studied. In the paper, we study theories of naïve consequence and truth based on a non-reflexive logic. We start by investigating the semantics and the proof-theory of a system based on schematic rules for object-linguistic consequence. We then develop a fully compositional theory of truth and consequence in our non-reflexive framework.
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  12.  46
    Nonclassical Truth with Classical Strength. A Proof-Theoretic Analysis of Compositional Truth Over Hype.Martin Fischer, Carlo Nicolai & Pablo Dopico - 2023 - Review of Symbolic Logic 16 (2):425-448.
    Questions concerning the proof-theoretic strength of classical versus nonclassical theories of truth have received some attention recently. A particularly convenient case study concerns classical and nonclassical axiomatizations of fixed-point semantics. It is known that nonclassical axiomatizations in four- or three-valued logics are substantially weaker than their classical counterparts. In this paper we consider the addition of a suitable conditional to First-Degree Entailment—a logic recently studied by Hannes Leitgeb under the label HYPE. We show in particular that, by formulating the theory (...)
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  13.  37
    The Implicit Commitment of Arithmetical Theories and Its Semantic Core.Carlo Nicolai & Mario Piazza - 2019 - Erkenntnis 84 (4):913-937.
    According to the implicit commitment thesis, once accepting a mathematical formal system S, one is implicitly committed to additional resources not immediately available in S. Traditionally, this thesis has been understood as entailing that, in accepting S, we are bound to accept reflection principles for S and therefore claims in the language of S that are not derivable in S itself. It has recently become clear, however, that such reading of the implicit commitment thesis cannot be compatible with well-established positions (...)
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  14.  29
    Dream of Recapture.Carlo Nicolai - 2022 - Analysis 82 (3):445-450.
    As a response to the semantic and logical paradoxes, theorists often reject some principles of classical logic. However, classical logic is entangled with mathematics, and giving up mathematics is too high a price to pay, even for nonclassical theorists. The so-called recapture theorems come to the rescue. When reasoning with concepts such as truth/class membership/property instantiation, (These are examples of concepts that are taken to satisfy naive rules such as the naive truth schema and naive comprehension, and that therefore are (...)
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  15.  51
    A Note on Typed Truth and Consistency Assertions.Carlo Nicolai - 2016 - Journal of Philosophical Logic 45 (1):89-119.
    In the paper we investigate typed axiomatizations of the truth predicate in which the axioms of truth come with a built-in, minimal and self-sufficient machinery to talk about syntactic aspects of an arbitrary base theory. Expanding previous works of the author and building on recent works of Albert Visser and Richard Heck, we give a precise characterization of these systems by investigating the strict relationships occurring between them, arithmetized model constructions in weak arithmetical systems and suitable set existence axioms. The (...)
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  16.  50
    Deflationary truth and the ontology of expressions.Carlo Nicolai - 2015 - Synthese 192 (12):4031-4055.
    The existence of a close connection between results on axiomatic truth and the analysis of truth-theoretic deflationism is nowadays widely recognized. The first attempt to make such link precise can be traced back to the so-called conservativeness argument due to Leon Horsten, Stewart Shapiro and Jeffrey Ketland: by employing standard Gödelian phenomena, they concluded that deflationism is untenable as any adequate theory of truth leads to consequences that were not achievable by the base theory alone. In the paper I highlight, (...)
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  17. On Logical and Scientific Strength.Luca Incurvati & Carlo Nicolai - forthcoming - Erkenntnis.
    The notion of strength has featured prominently in recent debates about abductivism in the epistemology of logic. Following Williamson and Russell, we distinguish between logical and scientific strength and discuss the limits of the characterizations they employ. We then suggest understanding logical strength in terms of interpretability strength and scientific strength as a special case of logical strength. We present applications of the resulting notions to comparisons between logics in the traditional sense and mathematical theories.
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  18.  28
    The modal logics of kripke–feferman truth.Carlo Nicolai & Johannes Stern - 2021 - Journal of Symbolic Logic 86 (1):362-396.
    We determine the modal logic of fixed-point models of truth and their axiomatizations by Solomon Feferman via Solovay-style completeness results. Given a fixed-point model $\mathcal {M}$, or an axiomatization S thereof, we find a modal logic M such that a modal sentence $\varphi $ is a theorem of M if and only if the sentence $\varphi ^*$ obtained by translating the modal operator with the truth predicate is true in $\mathcal {M}$ or a theorem of S under all such translations. (...)
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  19.  26
    Adam Ferguson's Pedagogy and his Engagement with Stoicism.Katherine Nicolai - 2014 - Journal of Scottish Philosophy 12 (2):199-212.
    Adam Ferguson, lecturer of moral philosophy at the University of Edinburgh , was one of the leading figures of the Scottish Enlightenment. His published works, however, have sometimes been dismissed as derivative and viewed as less important than some of his contemporaries, because of his reliance on ancient Stoic philosophy. An analysis of Ferguson's lecture notes, conversely, demonstrates Stoicism's pedagogical function. Rather than adopting Stoic principles, Ferguson used their terminology to teach philosophical concepts. Ferguson's nuanced discussion of ancient philosophy in (...)
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  20.  41
    Equivalences for Truth Predicates.Carlo Nicolai - 2017 - Review of Symbolic Logic 10 (2):322-356.
    One way to study and understand the notion of truth is to examine principles that we are willing to associate with truth, often because they conform to a pre-theoretical or to a semi-formal characterization of this concept. In comparing different collections of such principles, one requires formally precise notions of inter-theoretic reduction that are also adequate to compare these conceptual aspects. In this work I study possible ways to make precise the relation of conceptual equivalence between notions of truth associated (...)
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  21.  22
    Always doing your best? Effort and performance in dynamic settings.Nicolas Houy, Jean-Philippe Nicolaï & Marie Claire Villeval - 2020 - Theory and Decision 89 (3):249-286.
    Achieving an ambitious goal frequently requires succeeding in a sequence of intermediate tasks, some being critical for the final outcome, and others not. However, individuals are not always able to provide a level of effort sufficient to guarantee success in all such intermediate tasks. The ability to manage effort throughout the sequence of tasks is, therefore, critical when resources are limited. In this paper, we propose a criterion of importance that is person- and context-specific, as it is based on how (...)
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  22.  28
    Necessary Truths and Supervaluations.Carlo Nicolai - 2018 - In Alessandro Giordani & Ciro de Florio (eds.), From Arithmetic to Metaphysics: A Path Through Philosophical Logic. De Gruyter. pp. 309-330.
    Starting with a trustworthy theory T, Galvan (1992) suggests to read offš, from the usual hierarchy of theories determined by consistency strength, a finer-grained hierarchy in which theories higher up are capable of ‘explaining’, though not fully justifying, our commitment to theories lower down. One way to ascend Galvan’s ‘hierarchy of explanation’ is to formalize soundness proofs: to this extent it often suffices to assume a full theory of truth for the theory T whose soundness is at stake. In this (...)
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  23. Systems for non-reflexive consequence.Carlo Nicolai & Lorenzo Rossi - manuscript
    Substructural logics and their application to logical and semantic paradoxes have been extensively studied, but non-reflexive systems have been somewhat neglected. Here, we aim to fill this lacuna, at least in part, by presenting a non-reflexive logic and theory of naive consequence (and truth). We also investigate the semantics and the proof-theory of the system. Finally, we develop a compositional theory of truth (and consequence) in our non-reflexive framework.
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  24. Gaps, Gluts, and Theoretical Equivalence.Carlo Nicolai - manuscript
    When are two formal theories of broadly logical concepts, such as truth, equivalent? The paper investigates a case study, involving two well-known variants Kripke-Feferman truth. The first, KF+CONS, features a consistent but partial truth predicate. The second, KF+COMP, an inconsistent but complete truth predicate. It is well-known that the two truth predicates are dual to each other. We show that this duality reveals a much stricter correspondence between the two theories: they are intertraslatable. Intertranslatability under natural assumptions coincides with definitional (...)
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  25. A Theory of Implicit Commitment for Mathematical Theories.Mateusz Łełyk & Carlo Nicolai - manuscript
    The notion of implicit commitment has played a prominent role in recent works in logic and philosophy of mathematics. Although implicit commitment is often associated with highly technical studies, it remains so far an elusive notion. In particular, it is often claimed that the acceptance of a mathematical theory implicitly commits one to the acceptance of a Uniform Reflection Principle for it. However, philosophers agree that a satisfactory analysis of the transition from a theory to its reflection principle is still (...)
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  26.  2
    Rezeptionssteuerung in der Ilias.Walter Nicolai - 1983 - Philologus: Zeitschrift für Antike Literatur Und Ihre Rezeption 127 (1-2):1-12.
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  27. Cut elimination for systems of transparent truth with restricted initial sequents.Carlo Nicolai - manuscript
    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 (...)
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  28. The Modal Logics of Kripke-Feferman Truth.Carlo Nicolai & Johannes Stern - manuscript
    We determine the modal logic of fixed-point models of truth and their axiomatizations by Solomon Feferman via Solovay-style completeness results.
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  29. A systematic review to assess the evidence-based effectiveness, content, and success factors of behavior change interventions for enhancing pro-environmental behavior in individuals.Henriette Rau, Susanne Nicolai & Susanne Stoll-Kleemann - 2022 - Frontiers in Psychology 13.
    To reduce global greenhouse gas emissions in order to limit global warming to 1.5°C, individuals and households play a key role. Behavior change interventions to promote pro-environmental behavior in individuals are needed to reduce emissions globally. This systematic literature review aims to assess the a) evidence-based effectiveness of such interventions and b) the content of very successful interventions without limiting the results to specific emitting sectors or countries. Based on the “PICOS” mnemonic and PRISMA statement, a search strategy was developed, (...)
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  30.  19
    Non-contractive logics, paradoxes, and multiplicative quantifiers.Carlo Nicolai, Mario Piazza & Matteo Tesi - forthcoming - Review of Symbolic Logic:1-21.
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  31. La storiografia nell'educazione antica.Roberto Nicolai - 1994 - American Journal of Philology 115 (4):625-628.
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  32.  26
    Gaps, gluts, and theoretical equivalence.Carlo Nicolai - 2022 - Synthese 200 (5):1-22.
    When are two formal theories of broadly logical concepts, such as truth, equivalent? The paper investigates a case study, involving two well-known variants of Kripke–Feferman truth. The first, \, features a consistent but partial truth predicate. The second, \, an inconsistent but complete truth predicate. It is known that the two truth predicates are dual to each other. We show that this duality reveals a much stricter correspondence between the two theories: they are intertraslatable. Intertranslatability, under natural assumptions, coincides with (...)
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  33.  8
    More on Systems of Truth and Predicative Comprehension.Carlo Nicolai - 2016 - In Francesca Boccuni & Andrea Sereni (eds.), Objectivity, Realism, and Proof. FilMat Studies in the Philosophy of Mathematics. Cham, Switzerland: Springer International Publishing.
    In the paper we survey the known connections between theories that extend a common base theory with typed truth axioms on the one hand and predicative set-existence assumptions on the other. How general can the mutual reductions between truth and comprehension be taken to be? In trying to address this question, we consider classical, positive truth and predicative comprehension as operations on theories.
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  34. On Expressive Power Over Arithmetic.Carlo Nicolai - 2018 - In John Baldwin (ed.), Truth, Existence and Explanation. Springer Verlag.
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  35.  62
    Modes of Truth: The Unified Approach to Truth, Modality, and Paradox.Carlo Nicolai & Johannes Stern (eds.) - 2021 - New York, NY: Routledge.
    The aim of this volume is to open up new perspectives and to raise new research questions about a unified approach to truth, modalities, and propositional attitudes. The volume's essays are grouped thematically around different research questions. The first theme concerns the tension between the theoretical role of the truth predicate in semantics and its expressive function in language. The second theme of the volume concerns the interaction of truth with modal and doxastic notions. The third theme covers higher-order solutions (...)
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  36. A Diamond-Based Electrode for Detection of Neurochemicals in the Human Brain.Kevin E. Bennet, Jonathan R. Tomshine, Hoon-Ki Min, Felicia S. Manciu, Michael P. Marsh, Seungleal B. Paek, Megan L. Settell, Evan N. Nicolai, Charles D. Blaha, Abbas Z. Kouzani, Su-Youne Chang & Kendall H. Lee - 2016 - Frontiers in Human Neuroscience 10.
  37.  11
    Supporting Patients With Untreated Prostate Cancer on Active Surveillance: What Causes an Increase in Anxiety During the First 10 Months?Maria Francesca Alvisi, Paola Dordoni, Tiziana Rancati, Barbara Avuzzi, Nicola Nicolai, Fabio Badenchini, Letizia De Luca, Tiziana Magnani, Cristina Marenghi, Julia Menichetti, Villa Silvia, Zollo Fabiana, Salvioni Roberto, Valdagni Riccardo & Bellardita Lara - 2020 - Frontiers in Psychology 11.
    BackgroundThe psychological burden possibly deriving from not immediately undergoing radical treatment for prostate cancer could be a potential disadvantage of active surveillance, especially in the eve of some relevant clinical exams [i.e., re-biopsy, prostate-specific antigen test, and medical examination]. Even if it is known from the literature that the majority of PCa men in AS do not report heightened anxiety, there is a minority of patients who show clinically significant levels of anxiety after diagnosis. The present study aimed to investigate (...)
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  38.  18
    Measuring Perceived Research Competence of Junior Researchers.Sarah A. Marrs, Carla Quesada-Pallarès, Korinthia D. Nicolai, Elizabeth A. Severson-Irby & J. Reinaldo Martínez-Fernández - 2022 - Frontiers in Psychology 13.
    Graduates of doctoral programs are expected to be competent at designing and conducting research independently. Given the level of research competence needed to successfully conduct research, it is important that assessors of doctoral programs have a reliable and validated tool for measuring and tracking perceived research competence among their students and graduates. A high level of research competence is expected for all Ph.D. graduates worldwide, in addition to in all disciplines/fields. Moreover, graduates of Ph.D. programs may complete their studies in (...)
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  39.  21
    Non-local Effects of Conformal Anomaly.Krzysztof A. Meissner & Hermann Nicolai - 2018 - Foundations of Physics 48 (10):1150-1158.
    It is shown that the nonlocal anomalous effective actions corresponding to the quantum breaking of the conformal symmetry can lead to observable modifications of Einstein’s equations. The fact that Einstein’s general relativity is in perfect agreement with all observations including cosmological or recently observed gravitational waves imposes strong restrictions on the field content of possible extensions of Einstein’s theory: all viable theories should have vanishing conformal anomalies. It is shown that a complete cancellation of conformal anomalies in \ for both (...)
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  40. Ciencia, libertad y cultura.Georg Friedrich Nicolai - 1954 - Santiago de Chile,: Congreso por la Libertad de la Cultura.
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  41.  3
    Der Staat im nationalsozialistischen Weltbild.Helmut Nicolai - 1934 - Leipzig,: Schaeffer-Verlag.
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  42. Funken 1-12.Carsten Nicolai - 2015 - In Rudolf Finsterwalder, Kristin Feireiss & Frei Otto (eds.), Form follows nature: eine Geschichte der Natur als Modell für Formfindung in Ingenieurbau, Architektur und Kunst = a history of nature as model for design in engineering, architecture and art. Basel: Birkhäuser.
     
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  43.  7
    Kultur und Tätigkeit Zur Bedeutung des Tätigkeitsbegriffs für eine Theorie der kulturellen Reproduktion.Klaus Nicolai - 1989 - Deutsche Zeitschrift für Philosophie 37 (2).
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  44.  13
    La conflictualité productive chez Ricœur.Jean-Paul Nicolaï - 2022 - Études Ricoeuriennes / Ricoeur Studies 13 (1):51-67.
    Deeper still than that of the _differend_, we find in Lyotard the concept of _discrepancy_, which underlines the welcome alterity in the encounter with others. We propose an understanding of Ricœurian anthropology based on this idea, when it is associated with another concept, that of _ergodicity_, which makes it possible to think the same in the discrepancy. We illustrate it with the trial and the act of judging. We then show that the Ricœurian process of putting rival thoughts into dialogue (...)
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  45. Liberación del trabajo.Georg Friedrich Nicolai - 1941 - Buenos Aires: Editorial Americalee. Edited by Romain Rolland & Alfonso Bernard.
     
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  46.  5
    La miseria de la dialéctica: dialéctica y marxismo frente a la ciencia: ensayo de una crítica constructiva.Georg Friedrich Nicolai - 1958 - México: José M. Cajica Jr..
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  47. La seguridad científica.Georg Friedrich Nicolai - 1948 - [Santiago de Chile,: Editorial Nascimento].
     
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  48.  5
    La traversée de l'empirique: essai d'épistémologie sur la construction des représentations de l'évolution des langues.Robert Nicolaï - 2000 - Paris: Editions OPHRYS.
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  49.  7
    Predicting Pro-environmental Intention and Behavior Based on Justice Sensitivity, Moral Disengagement, and Moral Emotions – Results of Two Quota-Sampling Surveys.Susanne Nicolai, Philipp Franikowski & Susanne Stoll-Kleemann - 2022 - Frontiers in Psychology 13.
    The effects of climate change lead to increasing social injustice and hence justice is intrinsically linked to a socio-ecological transformation. In this study, we investigate whether justice sensitivity motivates pro-environmental intention and behavior and, if so, to what extent emotions and moral disengagement determine this process. For this purpose, we conducted two quota-sampling surveys. Multiple regression analyses in both studies suggest that a higher perception of injustice from a perpetrator’s, beneficiary’s, and observer’s perspective is associated with an increased PEI. However, (...)
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  50.  22
    Sophokles und die griechische Ethik.Walter Nicolai - 1979 - Zeitschrift für Religions- Und Geistesgeschichte 31 (1):147-158.
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