Results for 'variable binding'

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  1. Variable Binding Term Operators.John Corcoran, William Hatcher & John Herring - 1972 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (12):177-182.
    Chapin reviewed this 1972 ZEITSCHRIFT paper that proves the completeness theorem for the logic of variable-binding-term operators created by Corcoran and his student John Herring in the 1971 LOGIQUE ET ANALYSE paper in which the theorem was conjectured. This leveraging proof extends completeness of ordinary first-order logic to the extension with vbtos. Newton da Costa independently proved the same theorem about the same time using a Henkin-type proof. This 1972 paper builds on the 1971 “Notes on a Semantic (...)
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  2.  21
    World Variable Binding and Beta-Binding.David Schueler - 2011 - Journal of Semantics 28 (2):241-266.
    This paper investigates the analysis of the de re/de dicto distinction and related facts. I start with the assumption, supported by Cresswell 1990, that the evaluation of the truth of a proposition relative to a particular possible world/situation is mediated via the presence in the syntax of a silent pronoun with type-s denotation. In this system, the de re/de dicto distinction arises from a difference in which an operator binds a given situation pronoun. Percus 2000 shows that such a system (...)
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  3.  92
    Tensor product variable binding and the representation of symbolic structures in connectionist systems.Paul Smolensky - 1990 - Artificial Intelligence 46 (1-2):159-216.
  4.  28
    Variable binding term operators in $\lambda $-calculus.M. W. Bunder - 1979 - Notre Dame Journal of Formal Logic 20 (4):876-878.
  5.  36
    Quantifier/variable-binding.B. H. Slater - 2000 - Linguistics and Philosophy 23 (3):309-321.
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  6.  69
    The abstract variable-binding calculus.Don Pigozzi & Antonino Salibra - 1995 - Studia Logica 55 (1):129 - 179.
    Theabstract variable binding calculus (VB-calculus) provides a formal frame-work encompassing such diverse variable-binding phenomena as lambda abstraction, Riemann integration, existential and universal quantification (in both classical and nonclassical logic), and various notions of generalized quantification that have been studied in abstract model theory. All axioms of the VB-calculus are in the form of equations, but like the lambda calculus it is not a true equational theory since substitution of terms for variables is restricted. A similar problem (...)
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  7.  12
    Languages with Variable-Binding Operators: Categorial Syntax and Combinatorial Semantics.Peter Simons - 2006 - Poznan Studies in the Philosophy of the Sciences and the Humanities 89:239.
  8. Notes on a semantic analysis of variable binding term operators.J. Corcoran & John Herring - 1971 - Logique Et Analyse 55:644-657.
    -/- A variable binding term operator (vbto) is a non-logical constant, say v, which combines with a variable y and a formula F containing y free to form a term (vy:F) whose free variables are exact ly those of F, excluding y. -/- Kalish-Montague proposed using vbtos to formalize definite descriptions, set abstracts {x: F}, minimalization in recursive function theory, etc. However, they gave no sematics for vbtos. Hatcher gave a semantics but one that has flaws. We (...)
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  9.  29
    Categorial languages and variable-binding operators.Adam Nowaczyk - 1978 - Studia Logica 37 (1):27 - 39.
  10.  37
    Rule acquisition and variable binding: Two sides of the same coin.P. J. Hampson - 1993 - Behavioral and Brain Sciences 16 (3):462-462.
  11.  32
    Notes on the theory of variable binding term operators.Newton C. A. da Costa & Chris Mortensen - 1983 - History and Philosophy of Logic 4 (1-2):63-72.
    The general theory of variable binding term operators is an interesting recent development in logic. It opens up a rich class of semantic and model-theoretic problems. In this paper we survey the recent literature on the topic, and offer some remarks on its significances and on its connections with other branches of mathematical logic.
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    E-type pronouns, DRT, dynamic semantics and the quantifier/variable-binding model.S. J. Barker - 1997 - Linguistics and Philosophy 20 (2):195-228.
  13. Binding bound variables in epistemic contexts.Brian Rabern - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (5-6):533-563.
    ABSTRACT Quine insisted that the satisfaction of an open modalised formula by an object depends on how that object is described. Kripke's ‘objectual’ interpretation of quantified modal logic, whereby variables are rigid, is commonly thought to avoid these Quinean worries. Yet there remain residual Quinean worries for epistemic modality. Theorists have recently been toying with assignment-shifting treatments of epistemic contexts. On such views an epistemic operator ends up binding all the variables in its scope. One might worry that this (...)
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  14.  6
    Formal Semantics without Variables, Binding and Moving of Quantifiers. [REVIEW]Petr Kusliy - 2015 - Epistemology and Philosophy of Science 46 (4):238-244.
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  15.  4
    On High-Level Inferencing and the Variable Binding Problem in Connectionist Networks.Steffen Hölldobler - 1990 - In G. Dorffner (ed.), Konnektionismus in Artificial Intelligence Und Kognitionsforschung. Berlin: Springer-Verlag. pp. 180--185.
  16. Binding arguments and hidden variables.Jonathan Cohen & Samuel C. Rickless - 2007 - Analysis 67 (1):65-71.
    o (2000), 243). In particular, the idea is that binding interactions between the relevant expressions and natural lan- guage quantifiers are best explained by the hypothesis that those expressions harbor hidden but bindable variables. Recently, however, Herman Cappelen and Ernie Lepore have rejected such binding arguments for the presence of hid- den variables on the grounds that they overgeneralize — that, if sound, such arguments would establish the presence of hidden variables in all sorts of ex- pressions where (...)
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  17. Binding On the Fly: Cross-Sentential Anaphora in Variable— Free Semantics.Anna Szabolcsi - 2003 - In R. Oehrle & J. Kruijff (eds.), Resource Sensitivity, Binding, and Anaphora. Kluwer Academic Publishers. pp. 215--227.
    Combinatory logic (Curry and Feys 1958) is a “variable-free” alternative to the lambda calculus. The two have the same expressive power but build their expressions differently. “Variable-free” semantics is, more precisely, “free of variable binding”: it has no operation like abstraction that turns a free variable into a bound one; it uses combinators—operations on functions—instead. For the general linguistic motivation of this approach, see the works of Steedman, Szabolcsi, and Jacobson, among others. The standard view (...)
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  18. Binding Implicit Variables in Quantified Contexts.Barbara Partee - 1989 - In Caroline Wiltshire, Randolph Graczyk & Bradley Music (eds.), CLS. pp. 342-365.
  19. From simple associations to systematic reasoning: A connectionist representation of rules, variables, and dynamic binding using temporal synchrony.Lokendra Shastri & Venkat Ajjanagadde - 1993 - Behavioral and Brain Sciences 16 (3):417-51.
    Human agents draw a variety of inferences effortlessly, spontaneously, and with remarkable efficiency – as though these inferences were a reflexive response of their cognitive apparatus. Furthermore, these inferences are drawn with reference to a large body of background knowledge. This remarkable human ability seems paradoxical given the complexity of reasoning reported by researchers in artificial intelligence. It also poses a challenge for cognitive science and computational neuroscience: How can a system of simple and slow neuronlike elements represent a large (...)
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  20. Variable-Binders as Functors.Achille C. Varzi - 1995 - Poznan Studies in the Philosophy of the Sciences and the Humanities 40:303-19.
    This work gives an extended presentation of the treatment of variable-binding operators adumbrated in [3:1993d]. Illustrative examples include elementary languages with quantifiers and lambda-equipped categorial languages. Some remarks are also offered to illustrate the philosophical import of the resulting picture. Particularly, a certain conception of logic emerges from the account: the view that logics are true theories in the model-theoretic sense, i.e. the result of selecting a certain class of models as the only “admissible” interpretation structures (for a (...)
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  21. Binding, Compositionality, and Semantic Values.Michael Glanzberg & Jeffrey C. King - 2020 - Philosophers' Imprint 20.
    In this paper, we defend a traditional approach to semantics, that holds that the outputs of compositional semantics are propositional, i.e. truth conditions. Though traditional, this view has been challenged on a number of fronts over the years. Since classic work of Lewis, arguments have been offered which purport to show that semantic composition requires values that are relativized, e.g. to times, or other parameters that render them no longer propositional. Focusing in recent variants of these arguments involving quantification and (...)
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  22.  10
    Grammar-based connectionist approaches to language-A connectionist representation of rule, variables, and dynamic bindings using temporal synchrony.P. K. Monteiro, M. R. Pascoa & P. Smolensky - 1999 - Cognitive Science 23 (4):589-613.
  23.  17
    Variable-Binders as Functors.Achille C. Varzi - 1995 - In Vito Sinisi & Jan Woleński (eds.), The Heritage of Kazimierz Ajdukiewicz. Amsterdam: Rodopi. pp. 303.
  24.  77
    Predicate logic with flexibly binding operators and natural language semantics.Peter Pagin & Dag Westerståhl - 1993 - Journal of Logic, Language and Information 2 (2):89-128.
    A new formalism for predicate logic is introduced, with a non-standard method of binding variables, which allows a compositional formalization of certain anaphoric constructions, including donkey sentences and cross-sentential anaphora. A proof system in natural deduction format is provided, and the formalism is compared with other accounts of this type of anaphora, in particular Dynamic Predicate Logic.
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  25. Binding into Character.Joshua Dever - 2004 - Canadian Journal of Philosophy 34 (Supplement):29-80.
    Since Kaplan’s "Demonstratives", it has become a common-place to distinguish between the character and content of an expression, where the content of an expression is what it contributes to "what is said" by sentences containing that expression, and the character gives a rule for determining, in a context, the content of an expression. A tacit assumption of theories of character has been that character is autonomous from content – that semantic evaluation starts with character, adds context, and then derives content. (...)
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  26. Binding without identity: Towards a unified semantics for bound and exempt anaphors.Yoad Winter & Eric Reuland - unknown
    Expressions such as English himself are interpreted as locally bound anaphors in certain syntactic environments and are exempt from the binding conditions in others. This article provides a unified semantics for himself in both of these uses. Their difference is reduced to the interaction with the syntactic environment. The semantics is based on an extension of the treatment of pronominals in variable-free semantics. The adoption of variable free semantics is inspired by the existence of proxy-readings, which motivate (...)
     
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  27. Towards a variable-free semantics.Pauline Jacobson - 1999 - Linguistics and Philosophy 22 (2):117-185.
    The Montagovian hypothesis of direct model-theoretic interpretation of syntactic surface structures is supported by an account of the semantics of binding that makes no use of variables, syntactic indices, or assignment functions & shows that the interpretation of a large portion of so-called variable-binding phenomena can dispense with the level of logical form without incurring equivalent complexity elsewhere in the system. Variable-free semantics hypothesizes local interpretation of each surface constituent; binding is formalized as a type-shifting (...)
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  28.  49
    Foundations of nominal techniques: logic and semantics of variables in abstract syntax.Murdoch J. Gabbay - 2011 - Bulletin of Symbolic Logic 17 (2):161-229.
    We are used to the idea that computers operate on numbers, yet another kind of data is equally important: the syntax of formal languages, with variables, binding, and alpha-equivalence. The original application of nominal techniques, and the one with greatest prominence in this paper, is to reasoning on formal syntax with variables and binding. Variables can be modelled in many ways: for instance as numbers (since we usually take countably many of them); as links (since they may `point' (...)
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  29. The Use of the Binding Argument in the Debate about Location.Dan Zeman - 2017 - In Sarah-Jane Conrad & Klaus Petrus (eds.), Meaning, Context and Methodology. Mouton de Gruyter. pp. 191-212.
    In this paper I inquire into the methodological status of one of the arguments that have figured prominently in contemporary debates about the semantics of a variety of expressions, the so-called “Binding Argument”. My inquiry is limited to the case of meteorological sentences like “It is raining”, but my conclusion can be extended to other types of sentences as well. Following Jason Stanley, I distinguish between three interpretations of the argument. My focus is on the third, weakest interpretation, according (...)
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  30.  6
    From the Origins of Government and Binding to the Current State of Minimalism 1.Artemis Alexiadou & Terje Lohndal - 2021 - In Nicholas Allott, Terje Lohndal & Georges Rey (eds.), A Companion to Chomsky. Wiley. pp. 23–51.
    Generative grammar is an approach to the study of language which is explicit, mentalistic, and based on the claim that the ability to acquire language is innately specified. This chapter outlines some of the recent history leading up to contemporary generative grammar. It provides some context for the emergence of Principles and Parameters and the basic gist of the Principles and Parameters approach. Chomsky is a fundamental contribution to the study of human language in its effort to develop a new (...)
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  31.  24
    Structured Meanings and the Dynamic Role of Variables: A Dilemma for Pickel and Rabern.Geoff Georgi - 2022 - Erkenntnis 89 (4):1745-1757.
    In a recent paper, Pickel and Rabern (2016) argue that a dynamic Tarskian semantics resolves Fine’s antinomy of the variable without the radical consequences for semantics proposed by Fine (2003, 2007). While Pickel and Rabern’s basic insight—a parameter of discourse context that tracks occurrences of variable-binding expressions—is important, I will argue that their own Tarskian theory faces a destructive dilemma: either their theory does not resolve Fine’s antinomy as they propose, or their theory does not reflect the (...)
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  32.  49
    Constraints on Some Other Variables in Syntax.Orin Percus - 2000 - Natural Language Semantics 8 (3):173-229.
    In this paper I assume that syntactic structures contain items that function as variables over possible worlds (or things like possible worlds). I show that in certain syntactic positions we can use some variables but not other. I accordingly motivate a "binding theory" for the items that occupy these positions, and I discuss some consequences of this binding theory.
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  33. Scope and binding.Anna Szabolcsi - 2011 - In von Heusinger, Maienborn & Portner (eds.), Semantics: An International Handbook of Natural Language Meaning, Vol. 2. de Gruyter Mouton.
    The first part of this article (Sections 1–5) focuses on the classical notions of scope and binding and their formal foundations. It argues that once their semantic core is properly understood, it can be implemented in various different ways: with or without movement, with or without variables. The second part (Sections 6–12) takes up the empirical issues that have redrawn the map in the past two decades. It turns out that scope is not a primitive. Existential scope and distributive (...)
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  34.  32
    Weather predicates, binding, and radical contextualism.Paul Elbourne - 2020 - Mind and Language 37 (1):56-72.
    The implicit content indicating location associated with “raining” and other weather predicates is a definite description meaning “the location occupied by x,” where the individual variable “x” can be referential or bound. This position has deleterious consequences for certain varieties of radical contextualism.
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  35. Scope and situation binding in LTAG using semantic unification.Maribel Romero & Laura Kallmeyer - manuscript
    This paper develops a framework for TAG (Tree Adjoining Grammar) semantics that brings together ideas from different recent approaches. Then, within this framework, an analysis of scope is proposed that accounts for the different scopal properties of quantifiers, adverbs, raising verbs and attitude verbs. Finally, including situation variables in the semantics, different situation binding possibilities are derived for different types of quantificational elements.
     
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  36.  44
    Such: Binding and the pro-adjective. [REVIEW]Muffy E. A. Siegel - 1994 - Linguistics and Philosophy 17 (5):481 - 497.
    The facts aboutsuch, then, indicate not just thatsuch is a pro-adjective, but also that binding conditions apply broadly to pro-ADJs and pro-CNs, as well as to a wide range of pro-arguments. If this is true, the CN binding process accomplished by rules (40) and (41) might better be expressed in a system that uses a Cooper (1979) store mechanism. In fact, Stump (p. 144) notes that this could easily be done. Meanings of the type of∨ P n could (...)
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  37.  46
    Incomplete penetrance and variable expressivity: is there a microRNA connection?Jasmine K. Ahluwalia, Manoj Hariharan, Rhishikesh Bargaje, Beena Pillai & Vani Brahmachari - 2009 - Bioessays 31 (9):981-992.
    Incomplete penetrance and variable expressivity are non‐Mendelian phenomena resulting in the lack of correlation between genotype and phenotype. Not withstanding the diversity in mechanisms, differential expression of homologous alleles within cells manifests as variations in penetrance and expressivity of mutations between individuals of the same genotype. These phenomena are seen most often in dominantly inherited diseases, implying that they are sensitive to concentration of the gene product. In this framework and the advances in understanding the role of microRNA (miRNA) (...)
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  38.  20
    Free versus bound variables and the taxonomy of gaps.Luis Vicente - 2016 - Natural Language Semantics 24 (3):203-245.
    Potts et seq. presents an analysis of gap-containing supplements where the gap is modelled as a variable over the semantic type of the constituent that the as-clause adjoins to. This much allows the meaning of the gap to be resolved purely compositionally, by defining as as a function that allows the anchor to bind the gap variable. This article presents a class of as-clauses where Potts’s analysis seems to break down, in that the gap cannot be modelled as (...)
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  39.  22
    Born to bind: the BTB protein–protein interaction domain.Roberto Perez-Torrado, Daisuke Yamada & Pierre-Antoine Defossez - 2006 - Bioessays 28 (12):1194-1202.
    The BTB domain is a protein–protein interaction motif that is found throughout eukaryotes. It determines a unique tri‐dimensional fold with a large interaction surface. The exposed residues are highly variable and can permit dimerization and oligomerization, as well as interaction with a number of other proteins. BTB‐containing proteins are numerous and control cellular processes that range from actin dynamics to cell‐cycle regulation. Here, we review findings in the field of transcriptional regulation to illustrate how the high variability of the (...)
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  40.  18
    Unbound riches: Comparative adjectives and the argument from binding.Stefano Predelli - 2003 - Logic and Logical Philosophy 12:341-348.
    Uncontroversially, the semantic interpretation of comparative adjectives such as rich or small depends, among other factors, on a contextually salient comparison standard. Two alternative theories have been proposed in order to account for such contextual dependence: an indexicalist view, according to which comparative adjectives are indexical expressions, and a hidden variable approach, which insists that a comparison standard is contributed as the semantic value of a variable occurring at the level of semantic representation. In this paper, I defend (...)
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  41. Quantification over situations variables in LTAG: some constraints.Maribel Romero - unknown
    Some natural language expressions –namely, determiners like every, some, most, etc.— introduce quantification over individuals (or, in other words, they express relations between sets of individuals). For example, the truth conditions of a sentence like (1a) are represented in Predicate Logic (PrL) by binding the..
     
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  42.  6
    Leben, Tod und Ewigkeit.Wolfgang Binde - 1974 - Zürich,: Strom-Verlag.
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  43. Wiedergewinnung der Identität.Peter Binding - 1981 - In Pierre Krebs (ed.), Das Unvergängliche Erbe: Alternativen zum Prinzip der Gleichheit. Tübingen: Grabert.
     
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  44.  10
    Wh-Cliticisation: The derivation of operator-variable links and wh-words in Berber.Jamal Ouhalla & Abdelhak El Hankari - 2015 - Corpus 14:235-262.
    This article explores a phenomenon found in Berber whereby the extraction of dative arguments (of verbs, nouns and prepositions) gives rise to two occurrences of wh. One is a wh-word located in Spec,C and the other a wh-clitic in the dative form located in C (wh-clitic-doubling). Close examination reveals that the wh-word in Spec,C functions as an operator base-generated in its scope position and the dative wh-clitic in C provides it with a derivational link to the variable in the (...)
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    Species‐specific micro RNA regulation influences phenotypic variability.Eyal Mor & Noam Shomron - 2013 - Bioessays 35 (10):881-888.
    Phenotypic divergence among animal species may be due in part to species‐specific (SS) regulation of gene expression by small, non‐coding regulatory RNAs termed “microRNAs”. This phenomenon can be modulated by several variables. First, microRNA genes vary by their level of conservation, many of them being SS, or unique to a particular evolutionary lineage. Second, microRNA expression levels vary spatially and temporally in different species. Lastly, while microRNAs bind the 3′UTR of target genes in order to silence their expression, the (...) sites themselves are often non‐conserved. The variability of the miRNA‐target paradigm between different species is thus multifactorial, and this paradigm has only just started to gain attention from researchers in various fields. Here we present and discuss recent findings regarding the characteristics and implications of SS microRNA regulation. (shrink)
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  46.  21
    Proof-theoretic semantics as a resource for expressing semantic variability.Nissim Francez - 2022 - Synthese 200 (4):1-27.
    The paper highlights proof-theoretic semantics as providing natural resources for capturing semantic variation in natural language. The semantic variations include:Distinction between extensional predication and attribution to intensional transitive verbs a non-specific object.Omission of a verbal argument in a transitive verb.Obtaining sameness of meaning of sentences with transitive verbs with omitted object and existentially quantified object.Blocking unwarranted entailments in adjective–noun combinations.Capturing quantifier scope ambiguity.Obtaining context dependent quantifier domain restriction. The proof-theoretic resources employed to capture the above semantic variations include:The use of (...)
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  47.  30
    The future of values: 21st century talks.Jérôme Bindé (ed.) - 2004 - [Paris]: United Nations Educational, Scientific and Cultural Organization.
    This volume brings together about 50 scientists and researchers from the four corners of the world to redefine and anticipate tomorrow's values, and reflect on ...
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  48.  95
    Human, Still Human!Jérôme Bindé - 2005 - Diogenes 52 (2):55-61.
    In his preface to Human, Too Human Nietzsche wrote: ‘My books have been labelled the school of suspicion … ‘ Predicted and desired by Nietzsche, the age of suspicion does seem to be one of the labels that best characterize the century that has just closed. And symptomatically it was used a few decades later in France to describe writers’ interrogations about the novel as a literary genre, its facilities and conventions, its easy determinisms, as well as the exorbitant power (...)
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    154. Es gibt Bücher, die mehr als Bücher sind.Rudolf G. Binding - 1978 - In Bruno Hillebrand (ed.), Texte Zur Nietzsche-Rezeption 1873–1963. De Gruyter. pp. 226-226.
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    Humain, encore humain!Jérôme Bindé - 2004 - Diogène 206 (2):70-78.
    Résumé Le cheminement de la pensée occidentale, depuis plus d’un siècle, a vu : la mort de Dieu, la chute des idéologies politiques qui semblaient avoir pris le relais des valeurs « divines », la solitude de l’individu désorienté. Le malaise de l’individu serait le symptôme d’une remise en question de la notion même d’être humain. En reprenant la critiques de l’humanisme introduite par Nietzsche, Sloterdijk fait ressortir que l’homme aurait échappé à la bestialité par les moyens mêmes qu’il emploie (...)
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