Results for 'Carlo Nicolai'

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  1.  37
    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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  2. 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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  3. 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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  4.  41
    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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  5.  15
    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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  6.  23
    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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  7.  48
    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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  8.  33
    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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  9.  48
    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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  10.  23
    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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  11.  35
    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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  12. 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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  13.  58
    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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  14.  23
    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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  15. 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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  16. 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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  17. 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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  18. 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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  19. On Logical and Scientific Strength.Luca Incurvati & Carlo Nicolai - manuscript
    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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  20. 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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  21.  13
    Non-contractive logics, paradoxes, and multiplicative quantifiers.Carlo Nicolai, Mario Piazza & Matteo Tesi - forthcoming - Review of Symbolic Logic:1-21.
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  22.  13
    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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  23.  5
    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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  24.  55
    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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  25. 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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  26.  39
    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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  27.  49
    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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  28.  59
    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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  29. 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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  30.  6
    Measuring Cognitive Abilities in the Wild: Validating a Population‐Scale Game‐Based Cognitive Assessment.Mads Kock Pedersen, Carlos Mauricio Castaño Díaz, Qian Janice Wang, Mario Alejandro Alba-Marrugo, Ali Amidi, Rajiv V. Basaiawmoit, Carsten Bergenholtz, Morten H. Christiansen, Miroslav Gajdacz, Ralph Hertwig, Byurakn Ishkhanyan, Kim Klyver, Nicolai Ladegaard, Kim Mathiasen, Christine Parsons, Janet Rafner, Anders R. Villadsen, Mikkel Wallentin, Blanka Zana & Jacob F. Sherson - 2023 - Cognitive Science 47 (6):e13308.
    Rapid individual cognitive phenotyping holds the potential to revolutionize domains as wide‐ranging as personalized learning, employment practices, and precision psychiatry. Going beyond limitations imposed by traditional lab‐based experiments, new efforts have been underway toward greater ecological validity and participant diversity to capture the full range of individual differences in cognitive abilities and behaviors across the general population. Building on this, we developed Skill Lab, a novel game‐based tool that simultaneously assesses a broad suite of cognitive abilities while providing an engaging (...)
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  31.  19
    16. Nicolai Hartmann’s Thoughts on Education.Carlo Scognamiglio - 2016 - In Keith R. Peterson & Roberto Poli (eds.), New Research on the Philosophy of Nicolai Hartmann. Berlin, Germany: De Gruyter. pp. 297-312.
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  32.  19
    4. “The Role of the Missing Reason”: The Search for a Stratum-Specific Form of Determination in Nicolai Hartmann’s Theory of Life.Carlo Brentari - 2016 - In Keith R. Peterson & Roberto Poli (eds.), New Research on the Philosophy of Nicolai Hartmann. Berlin, Germany: De Gruyter. pp. 65-80.
    The problem of teleology is one of the major challenges for theoretical biology and, in general, for every philosophy of life. The debate about the nature of the organism and its difference from inorganic matter cannot come to terms with, at one point or another, the problem that arises from the unavoidable impression of teleology exhibited by the living itself. In this respect, the advantages that a systematic thinker such as Hartmann can offer to the philosophical analysis of life are (...)
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  33.  4
    Il cerchio del possibile: identità, organismo e persona nella Philosophie der Natur di Nicolai Hartmann.Carlo Brentari - 2019 - Napoli: Orthotes.
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  34.  12
    Nicolai Hartmann's Theory of Psyche.Carlo Scognamiglio - 2011 - In Roberto Poli, Carlo Scognamiglio & Frederic Tremblay (eds.), The Philosophy of Nicolai Hartmann. Walter de Gruyter. pp. 141.
  35.  51
    The Philosophy of Nicolai Hartmann.Roberto Poli, Carlo Scognamiglio & Frederic Tremblay (eds.) - 2011 - Walter de Gruyter.
    Nicolai Hartmann was one of the most prolific and original, yet sober, clear and rigorous, 20th century German philosophers. Hartmann was brought up as a Neo-Kantian, but soon turned his back on Kantianism to become one of the most important proponents of ontological realism. He developed what he calls the “new ontology”, on which relies a systematic opus dealing with all the main areas of philosophy. His work had major influences both in philosophy and in various scientific disciplines. The (...)
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  36.  7
    Gramsci e a filosofia política de seu tempo.José Carlos Freire - 2011 - Griot : Revista de Filosofia 3 (1):79-93.
    O presente artigo procura refletir sobre o modo pelo qual Gramsci debate com os autores de seu tempo, a fim de recolocar o marxismo no terreno da história e da dialética. Tomamos como referência o confronto de Gramsci com o neo-idealismo italiano, representado por Benedetto Croce, e com o marxismo economicista, representado por Nicolai Bukharin. Com isso, procuraremos analisar se Gramsci seria autenticamente um marxista ou, dito de outro modo, até que ponto ele teria se afastado de Marx pela (...)
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  37. Scognamiglio Carlo, La persona. Etica e ontologia in Nicolai Hartmann.V. Mori - 2011 - Rivista Internazionale di Filosofia Del Diritto 88 (4):613.
     
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  38.  9
    Nicolai Hartmann und Heinz Heimsoeth im Briefwechsel.Nicolai Hartmann - 1978 - Bonn: Bouvier. Edited by Heinz Heimsoeth, Frida Hartmann & Renate Heimsoeth.
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  39.  2
    Ethik.Nicolai Hartmann - 1926 - Berlin,: De Gruyter.
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  40.  2
    Grundzüge einer Metaphysik der Erkenntnis.Nicolai Hartmann - 1921 - Berlin,: De Gruyter.
    Keine ausführliche Beschreibung für "Grundzüge einer Metaphysik der Erkenntnis" verfügbar.
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  41.  4
    Parcours sémiotiques, ou, Les mots des hommes: une anthropologie langagière.Robert Nicolaï - 2019 - Paris: L'Harmattan.
    Ce volume questionne les dynamiques de mise en signification que nous actualisons et la façon dont nous construisons nos représentations et élaborons nos théories. L'approche est structurée en trois "parcours" : Partant d'une saisie empirique de terrain, le premier parcours prend l'objet d'étude morphosémantique du lexique. Le deuxième met en contrepoint deux cadres théoriques, qui, partis de bases non commensurables, concernent nos procès de mise en signification et d'élaboration du sens.0Parvenu à ce stade, l'ouvrage dégage une perspective nouvelle d'analyse en (...)
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  42.  10
    The Two Sides of Linguistic Context: Eye-Tracking as a Measure of Semantic Competition in Spoken Word Recognition Among Younger and Older Adults.Nicolai D. Ayasse & Arthur Wingfield - 2020 - Frontiers in Human Neuroscience 14.
  43.  8
    The Yoga Sutras desk reference: a comprehensive guide to the core concepts of Yoga.Nicolai Bachman - 2021 - Boulder, Colorado: Sounds True. Edited by Patañjali.
    Nicolai Bachman explores the key principles and concepts of yoga philosophy through the Yoga Sutras offering an opportunity to learn and practice the sutras in Sanskrit, revealing the essence of yoga philosophy. The Yoga Sutras is a comprehensive and modern approach to working with Patanjali's seminal text for guidance and inspiration on your own journey toward clarity and happiness.
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  44. Des Proklus Diadochus philosophische Anfangsgründe der Mathematik.Nicolai Hartmann - 1909 - Berlin,: De Gruyter.
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  45.  4
    Kleinere Schriften.Nicolai Hartmann - 1955 - Berlin,: De Gruyter.
    Bd. 1. Abhandlungen zur systematischen Philosophie.--Bd. 2. Abhandlungen zur Philosophie-Geschichte.--Bd. 3. Vom Neukantianismus zur Ontologie.
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  46.  4
    Om mennesket i verden.Nicolai Frederik Severin Grundtvig - 1983 - Herning: P. Kristensen. Edited by Knud Bjarne Gjesing.
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  47. Ästhetik.Nicolai Hartmann - 1953 - Berlin,: de Gruyter.
     
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  48.  42
    Heidegger's Social Ontology: The Phenomenology of Self, World and Others.Nicolai Knudsen - 2022 - New York, NY: Cambridge University Press.
    Heidegger is often criticised for having next to nothing to say about human sociality. Yet, his work provides neglected resources for understanding the nature of social life. Drawing on his celebrated philosophy of mind and philosophy of action, the book systematically reconstructs Heidegger’s social ontology. It argues that Heidegger’s famous claim that human mindedness and agency is constitutively being-in-the-world implies that we can only understand others, do things with others, and form lasting groups with others if we pre-reflectively correlate their (...)
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  49.  6
    The Principle of Least Effort and Comprehension of Spoken Sentences by Younger and Older Adults.Nicolai D. Ayasse, Alana J. Hodson & Arthur Wingfield - 2021 - Frontiers in Psychology 12.
    There is considerable evidence that listeners’ understanding of a spoken sentence need not always follow from a full analysis of the words and syntax of the utterance. Rather, listeners may instead conduct a superficial analysis, sampling some words and using presumed plausibility to arrive at an understanding of the sentence meaning. Because this latter strategy occurs more often for sentences with complex syntax that place a heavier processing burden on the listener than sentences with simpler syntax, shallow processing may represent (...)
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  50. L'estetica.Nicolai Hartmann - 1969 - Padova,: Liviana. Edited by Nicolai Hartmann.
     
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