In this paper the arguments for optimal data selection and the contrast class account of negations in the selection task and the conditional inference task are summarised, and contrasted with the matching bias approach. It is argued that the probabilistic contrast class account provides a unified, rational explanation for effects across these tasks. Moreover, there are results that are only explained by the contrast class account that are also discussed. The only major anomaly is the explicit negations effect in the (...) selection task (Evans, Clibbens, & Rood, 1996), which it is argued may not be the result of normal interpretative processes. It is concluded that the effects of negation on human reasoning provide good evidence for the view that human reasoning processes may be rational according to a probabilistic standard. (shrink)

We report two studies on the effect of implicitly versus explicitly conveying affirmation and denial problems about conditionals. Recently Evans and Handley (1999) and Schroyens et al. (1999b, 2000b) showed that implicit referencing elicits matching bias: Fewer determinate inferences are made, when the categorical premise (e.g., B) mismatches the conditional's referred clause (e.g., A). Also, the effect of implicit affirmation (B affirms not-A) is larger than the effect of implicit denial (B denies A). Schroyens et al. hypothesised that this interaction (...) is due to uncertainty in the case-wise affirmation of the contrast class of negated elements involved in implicit affirmations. In Experiment 1 we tested this hypothesis by manipulating the set size of the conditional clauses. The results confirm that binary sets, where the contrast class is a singleton, eliminate the differential effect of implicit affirmation and denial. With non-binary sets the interaction is not modulated by the scope of the contrast class (3, 5, 9 elements). Experiment 2 further investigated the role of contrast classes by using class inclusion to construct implicit affirmations (Mammal vs Mammal or Monkey) and implicit denial (No-Mammal vs Mammal or Monkey), in addition to the standard implicit problems mediated by contrast-class inclusion [(No-)Mammal/No-Mammal; Reptile; Snake). Findings indicate that class inclusion (Mammal/Monkey; Reptile/ Snake) only marginally affects performance, and is independent of the type of problem. This would suggest that the implicitness problem-type interaction is dependent on constructing contrast classes. However, the experiment failed to replicate the interaction, even on the subset of problems repeating the abstract letter/number format of Experiment 1. Moreover, with the natural binary set-sizes (vowels/consonants) the implicitness effect was eliminated entirely. (shrink)

In preparation. With Melita Stavrou, Aristole University of Thessaloniki.

In sentences with internal negation, Free Choice Inferences (FCIs) are cancelled (Chierchia 2013). The present study investigated the possibility that FCIs are negated, not cancelled, by external negation. In previous research, both Mandarin-speaking children and adults were found to license FCIs in affirmative sentences with a modal verb and the disjunction word huozhe ‘or’ (Zhou, Romoli & Crain 2103). The present study contrasted internal versus external negation in sentences that contained all the ingredients needed to license FCIs. (...) Four experiments were conducted using the Truth Value Judgment Task (Crain & Thornton 1998). Experiment 1 tested Mandarin-speaking children and adults using sentences with internal negation, a modal verb and disjunction. As expected, children did not license FCIs; rather, they assigned a ‘neither’ interpretation to disjunction. Also as expected, adults analyzed disjunction as taking scope over internal negation, yielding a ‘not both’ interpretation (Jing, Crain & Hsu 2005). Experiment 1 provided the benchmarks for sentences with external negation in Experiments 2-4. Experiment 2 confirmed that English-speaking adults distinguish between internal and external negation in sentences with disjunction. In Experiment 3, external negation was conveyed by the focus adverb zhiyou ‘only’. External negation eliminated the between-group differences observed in Experiment 1. Both children and adults analyzed external negation as taking scope over disjunction. Experiment 4 tested the effect of external negation on the computation of FCIs. The test sentences only differed from Experiment 1 by using external negation, rather than internal negation. Again, children and adults interpreted the test sentences in the same way. Most importantly, in contrast to Experiment 1 (with internal negation), both groups analysed external negation as negating, rather than cancelling, FCIs. The findings support the distinction between internal and external negation. (shrink)

The negation constitutes one of the main troubles for attempts to naturalise the semantics of the logical vocabulary, as shown by the problems related to the interpretation of disjunction in the treatment of error (Fodor) or to the definition of contraries in the analysis of reidentification abilities (Millikan). There seems to be no way out between “no (naturalized) negation, no grip of logic on the world” and “no (truth-functional) negation, no logic”. Unexpected help may come from the (...) cognitive phenomenology of negation. For three reasons: • Firstly, because it allows a distinction to be made between semantic analysis, identification of the possession conditions and psychology of the acquisition of the notion of negation, a distinction whose absence produces many misunderstandings between those who support a naturalization of semantics and those who oppose it. • Then because it places negation at the level of the contrast between beliefs, a terrain that is hostile to some naturalizers. • Finally, because it makes it possible to define a peculiar type of liberalised naturalization of semantics and, consequently, to present a hypothesis for the naturalization of cognitive phenomenology. (shrink)

There are two natural ways of thinking about negation: (i) as a form of complementation and (ii) as an operation of reversal, or inversion (to deny that p is to say that things are “the other way around”). A variety of techniques exist to model conception (i), from Euler and Venn diagrams to Boolean algebras. Conception (ii), by contrast, has not been given comparable attention. In this note we outline a twofold geometric proposal, where the inversion metaphor is understoood (...) as involving a rotation o a reflection, respectively. These two options are equivalent in classical two-valued logic but they differ significantly in many-valued logics. Here we show that they correspond to two basic sorts of negation operators—Post’s and Kleene’s—and we provide a simple group-theoretic argument demonstrating their generative power. (shrink)

The value of varied evidence, I propose, lies in the fact that more varied evidence is less coherent on the assumption of the negation of the hypothesis under consideration than less varied evidence. I contrast my own analysis with several other Bayesian analyses of the value of evidential diversity and show how my account explains cases where it seems intuitively that evidential variety is valuable for confirmation.

This paper attempts to account for the contrastive discourse connective (tam) tersine (‘on the contrary’) in Turkish discourse. We suggest that this connective evokes a discourse structure which has at least three parts: the material in the prior linguistic context, its refutation, and then rectification in the clause where the connective is hosted. Since negation is obligatory in the discourse context for refutation, we include a discussion of negation and we conclude that the obligatory negative clauses are (...) instances of descriptive negation rather than metalinguistic negation. We show that linguistic and cognitive contexts interact in producing and interpreting the discourse adverbial connective under discussion and the discourse structure in which it is used. It is claimed that (tam) tersine serves to bring closer the cognitive context of the intended audience to that of the writer’s while minimizing any potential discrepancies in the audience’s and the writer’s cognitive context. We argue that this discourse connective and the discourse it evokes are used in the argumentative mode. (shrink)

We study the sequent system mentioned in the author's work as CyInFL with ‘intuitionistic’ sequents. We explore the connection between this system and symmetric constructive logic of Zaslavsky and develop an algebraic semantics for both of them. In contrast to the previous work, we prove the strong completeness theorem for CyInFL with ‘intuitionistic’ sequents and all of its basic variants, including variants with contraction. We also show how the defined classes of structures are related to cyclic involutive FL‐algebras and Nelson (...) FLew‐algebras. In particular, we prove the definitional equivalence of symmetric constructive FLewc‐algebras (algebraic models of symmetric constructive logic) and Nelson FLew‐algebras (algebras introduced by Spinks and Veroff, as the termwise equivalent definition of Nelson algebras). Because of the strong completeness theorem that covers all basic variants of CyInFL with ‘intuitionistic’ sequents, we rename this sequent system to symmetric constructive full Lambek calculus (). We verify the decidability of this system and its basic variants, as we did in the case of their distributive cousins. As a consequence we obtain that the corresponding theories of (distributive and nondistributive) symmetric constructive FL‐algebras are decidable. (shrink)

We present a meta-analytic review on the processing of negations in conditional reasoning about affirmation problems (Modus Ponens: “MP”, Affirmation of the Consequent “AC”) and denial problems (Denial of the Antecedent “DA”, and Modus Tollens “MT”). Findings correct previous generalisations about the phenomena. First, the effects of negation in the part of the conditional about which an inference is made, are not constrained to denial problems. These inferential-negation effects are also observed on AC. Second, there generally are reliable (...) effects of a negation in the clause referred to by the categorical premise, and these referred-negation effects are constrained to the logically fallacious AC and DA inferences. All findings are presented and discussed in relation to contemporary mental model (MM) and mental logic (ML) theories. It is argued that a double-negation elimination hypothesis provides a sufficient explanation of inferential-negation effects within both MM theory and ML theory, if the latter is extended by a validating search for counter examples. Both MM and ML theories adhere to a processing scheme that allows them to incorporate an account of referred-negation effects based on the thesis that counter-example frequency is modulated by the scope of a contrast class delineated by a false affirmative. We conclude that MM and ML theories provide adequate processing schemes to accommodate for the explanatory hypotheses, at least in principle. In practice, both approaches remain equivocal as regards the connectivity and interactivity with long-term memory knowledge invoked in generating, manipulating, and testing the mental representations of negative state of affairs. (shrink)

In this paper, we identify a paradigm of metalinguistic comparatives in Greek headed by the preposition para. Para clauses are lexically distinct from other comparatives clauses in Greek (headed by apo, apoti). Building on earlier intuitions, we propose a semantics of metalinguistic MORE as a contrast between two propositions in terms of how appropriate of preferred they are by some individual. Syntactically, metalinguistic comparison appears to behave like a co-ordinate structure with ellipsis in the para-clause. Our account is extended to (...) metalinguistic negation, lexicalized by oxi in Greek, which, on a par with metalinguistic comparison, is defined as a binary operator, also contrasting two propositions. (shrink)

ZUSAMMENFASSUNGDer Einfluss Heinrich Barths auf die diastatische Auffassung der Gott-Mensch-Beziehung in der »dialektischen Theologie« seines Bruders Karl scheint bedeutend gewesen zu sein. Der Autor des vorliegenden Beitrags vertritt jedoch die Ansicht, dass sowohl Karl Barth wie auch eine gängige Einschätzung des Sachverhalts im Blick auf Heinrich Barths Position Opfer eines Missverständnisses geworden sind, demgegenüber diese Position in ihrem dauerhaft haltbaren Sinn zu rekonstruieren und zu rehabilitieren ist. Die für Heinrich Barths philosophisches Werk insgesamt in der Tat kennzeichnende Akzentuierung der Transzendenz (...) muss mit Bezug auf die Platonische Idee des Guten in erster Linie als Transzendenz gegenüber einer theoretischen Gesamtschau verstanden werden, welche die ethische Lebensproblematik bedenkenlos vereinnahmt und damit um ihre Aktualität bringt. So verstanden bedeutet Heinrich Barths Betonung der Transzendenz nicht das Aufreißen einer kaum mehr überbrückbaren Kluft, sondern verweist vielmehr auf die Aufgabe, das Gott-Mensch-Verhältnis, den Begriff einer »Gotteserkenntnis« und letztlich die Problematik der Transzendenz als solche von einem Gesichtspunkt aus neu zu bestimmen, für den die ethische Lebensproblematik im Zentrum der Aufmerksamkeit steht.SUMMARYHeinrich Barth's influence on the diastatical conception of the God-man-relationship in his brother Karl's Dialectical Theology seems to be important. The author of the following contribution however suggests the opinion, that both Karl Barth himself and a common view of the matter have been victims of a misunderstanding of Heinrich Barth's position, in contrast to which this position has to be reconstructed and rehabilitated in its durable sense. The accentuation of transcendence, relative to the transcendental principles respectively God, which is indeed significant of Heinrich Barth's work as a whole, has to be understood, in reference to Plato's Idea of the Good, first of all as transcendence in relation to a theoretical view of the whole, which does not hesitate to integrate the problematic of life and ethics by eliminating its actuality. In this understanding Heinrich Barth's emphasis of transcendence does not mean to tear open a gap which is hardly ever to be bridged, but refers to the task of a redefinition of the God-man-relationship, the notion of “Gotteserkenntnis” and, in last terms, the problem of transcendence as such, starting from a point of view for which the problematic of life and ethics is in the centre of attention. (shrink)

A series of five experiments investigated the extent of subliminal processing of negation. Participants were presented with a subliminal instruction to either pick or not pick an accompanying noun, followed by a choice of two nouns. By employing subjective measures to determine individual thresholds of subliminal priming, the results of these studies indicated that participants were able to identify the correct noun of the pair – even when the correct noun was specified by negation. Furthermore, using a grey-scale (...) contrast method of masking, Experiment 5 confirmed that these priming effects were evidenced in the absence of partial awareness, and without the effect being attributed to the retrieval of stimulus–response links established during conscious rehearsal. (shrink)

This paper argues that verb phrase ellipsis requires contrast. The central observation is that ellipsis is ungrammatical in tautologous conditionals; e.g., *_If John wins, then he does_. Ellipsis is correctly ruled out by a focus-based theory of ellipsis (Rooth 1992a, b ), but one that crucially imports focus’s requirement for contrast: an elliptical constituent must have an antecedent that is not merely an alternative to it, but a ‘proper’ alternative. An explanation in terms of contrast failure proves superior to alternative (...) explanations in terms of triviality and matching form. Showing as much catalogues what counts for contrast in ellipsis, encompassing negation, questions, and intensionality. Subjecting ellipsis to a contrast requirement is in direct conflict with the traditional analysis of MaxElide effects (Takahashi and Fox 2005 ), favouring alternative explanations (e.g., Jacobson 2019a, b ), perhaps in terms of contrast itself (Griffiths 2019 ). Overall, this paper establishes that contrast has explanatory power in ellipsis licensing. (shrink)

Some authors have claimed that Hegel's ‘determinate negation’ should be distinguished from ‘logical’ or ‘formal’ negation, that is, from a view of negation as a contradictory forming operator. In contrast, I argue that dialectical determinate negation involves a view of negation as a contradictory forming operator, and can therefore count as formal negation in every respect. However, as it is clear in contemporary glutty semantics of negation, one may distinguish between different accounts of (...) the relationship between negation, contradiction and content. I suggest that, differently from classical negation, and as glutty negation, dialectical negation has partial content. (shrink)

The present paper is an attempt at the investigation of the nature of polarity contrast in natural languages. Truth conditions for natural language sentences are incomplete unless they include a proper definition of the conditions under which they are false. It is argued that the tertium non datur principle of classical bivalent logical systems is empirically invalid for natural languages: falsity cannot be equated with non-truth. Lacking a direct intuition about the conditions under which a sentence is false, we need (...) an independent foundation of the concept of falsity. The solution I offer is a definition of falsity in terms of the truth of a syntactic negation of the sentence. A definition of syntactic negation is proposed for English. (shrink)

Negation is frequently found in every language, and many logicians or linguists have been carrying out research on it. Their investigations are, however, mostly confined to the languages of Europe. Although some of them pay attention to non-European languages, we can hardly find research on negation in Korean. In this paper, we carry out contra-linguistic analysis of four aspects of negation in Korean and English. First, we compare the expressions of negative elements in Korean and English sentences. (...) Second, we contrast the types of negation in Korean with those of English. Third, we draw a distinction between Korean and English in what decides the scope of negation. Finally, we contrast the answers to questions which contain negative elements. (shrink)

We present a meta-analytic review on the processing of negations in conditional reasoning about affirmation problems (Modus Ponens: "MP", Affirmation of the Consequent "AC") and denial problems (Denial of the Antecedent "DA", and Modus Tollens "MT"). Findings correct previous generalisations about the phenomena. First, the effects of negation in the part of the conditional about which an inference is made, are not constrained to denial problems. These inferential-negation effects are also observed on AC. Second, there generally are reliable (...) effects of a negation in the clause referred to by the categorical premise, and these referred-negation effects are constrained to the logically fallacious AC and DA inferences. All findings are presented and discussed in relation to contemporary mental model (MM) and mental logic (ML) theories. It is argued that a double-negation elimination hypothesis provides a sufficient explanation of inferential-negation effects within both MM theory and ML theory, if the latter is extended by a validating search for counter examples. Both MM and ML theories adhere to a processing scheme that allows them to incorporate an account of referred-negation effects based on the thesis that counter-example frequency is modulated by the scope of a contrast class delineated by a false affirmative. We conclude that MM and ML theories provide adequate processing schemes to accommodate for the explanatory hypotheses, at least in principle. In practice, both approaches remain equivocal as regards the connectivity and interactivity with long-term memory knowledge invoked in generating, manipulating, and testing the mental representations of negative state of affairs. (shrink)

Since Fodor 1970, negation has worn a Homogeneity Condition to the effect that homogeneous predicates, ) denote homogeneously—all or nothing —to characterize the meaning of – when uttered out-of-the blue, in contrast to –:The mirrors are smooth. The mirrors are not smooth. The mirrors circle the telescope’s reflector. The mirrors do not circle the telescope’s reflector. It has been a problem for philosophical logic and for the semantics of natural language that – appear to defy the Principle of Excluded (...) Middle while – do not—Smooth ¬Smooth Circle ¬Circle. An impoverished logical form – has been the occasion to embellish all else—Boolean algebra, lexical presuppositions, Strongest Meaning Hypothesis, trivalence, supervaluation, double strengthening, etc., enriching the semantics and pragmatics with what remains a special theory of negation, which may be dismissed when the logical syntax and semantics of negation reflects that negated sentences are also tensed sentences. (shrink)

Matching bias in conditional reasoning consists of a tendency to select as relevant cases whose lexical content matches that referred to in the conditional statement, regardless of the presence of negatives. Evans demonstrated that use of explicit rather than implicit negative cases markedly reduced the matching bias effect on the conditional truth table task. In apparent contrast, recent studies of explicit negation on the Wason selection task have failed to find evidence of logical facilitation. Experiment 1 of the present (...) study strongly replicated the Evans findings and extended them to three forms of conditional statement. Experiments 2 and 3 showed further that the use of explicit negatives removed completely the matching bias effect on the Wason selection task. However, consistent with other recent studies, this elimination of bias didnotlead to facilitation of correct responding. The findings are interpreted as providing evidence that matching bias reflects a linguistically cued relevance effect. (shrink)

Hegel’s theory of dialectic has long been a source of both endless confusion and bitter debate. It has, for instance, been oversimplified and characterized as the mechanical movement from thesis to antithesis to synthesis. In a similar vein, some philosophers in the analytic tradition have reproached Hegel’s notion of dialectic, claiming that it amounts to an outright and absurd denial of the law of contradiction. The dialectic has, moreover, been co-opted and developed by some of Hegel’s most impassioned critics such (...) as Marx and Kierkegaard. One of the most controversial aspects of Hegel’s theory of dialectic has been his perplexing doctrine of determinate negation, which has proven to be difficult for even the most sympathetic interpreters to make sense of. Determinate negation is Hegel’s way of referring to the positive aspect of the dialectic which makes the conceptual movement a constructive one and not a purely destructive or negative one. Although Hegel discusses his notion of determinate negation at some length in the Phenomenology, interpreters have traditionally gone to the Science of Logic in order to illustrate this doctrine. In this essay by contrast, I would like to discuss this difficult and disputed concept of determinate negation by means of an example drawn from the “Consciousness” chapter of the Phenomenology of Spirit. At the transition from “Sense-Certainty” to “Perception,” the first two sections of that chapter, Hegel describes explicitly the aspect of determinate negation that the dialectic evinces at that point, and it is this transition and this uncharacteristic passage that I wish to examine in some detail. In the first section of this essay, I will discuss Hegel’s notion of dialectic generally in order to pinpoint the role of determinate negation in relation to the dialectic’s other aspects. Then in the second section, I will proceed to analyze his account of determinate negation specifically, drawing on various passages throughout the Hegelian corpus. I will give a brief account of “Sense-Certainty” in my third section in order to set the context for the transition to “Perception.” Finally, in the fourth section, I will analyze this transition to “Perception” in terms of the doctrine of determinate negation. (shrink)

Schelling and Nishitani both confront the problem of absolute negation in post-Kantian philosophy and drive it beyond its eventual development into existentialism. This essay seeks not so much to sort out all of the similarities and contrasts between these two thinkers on this issue but rather to consider the issue of absolute negation itself and to consider it in and between the two thinkers as a gateway to an ontological conversion, a transformation into the positive manifestation of beings (...) just as they are. Just as access to Dante’s paradisio demands that one first traverse through the inferno, or as the rebirth in Zen of heaven and earth requires the Great Doubt and the Great Death, we must plunge into the depths of absolute negation. Yet this descent is not an end itself, but rather the opening to a new image of thought and a new sense of philosophy. (shrink)

This discussion explores the possibility of distinguishing a tighter notion of contrariety evident in the Square of Opposition, especially in its modal incarnations, than as that binary relation holding statements that cannot both be true, with or without the added rider ‘though can both be false’. More than one theorist has voiced the intuition that the paradigmatic contraries of the traditional Square are related in some such tighter way—involving the specific role played by negation in contrasting them—that distinguishes them (...) from other pairs of incompatible statements constructed from the same conceptual materials. Prominent among examples, these other nonstandard pairs are the ‘new contraries’ presented by Robert Blanché’s hexagon(s) of opposition. With special, though not exclusive, attention to these cases, we investigate whether contrariety in the distinguished sense can be captured by adding to the incompatibility condition the further demand that the pair of statements concerned can be represented as the results of applying some sentence operator to the content in its scope, for one of the pair, and, for the other, the application of that same operator to the negation of that content. For one of the two cases, a Blanché case, of nonstandard contrariety singled out for attention, the question of whether such a representation is available is settled at the end of Section 4, and then in a more satisfying way in Section 5, though for the other case, noticed by Peter Simons, the question remains open, after some tentative discussion in one subsection, 6.2, of an Appendix (Section 6). (shrink)

The processes that guide performance in Wason's selection task (WST) are still under debate. The matching bias effect in the negations paradigm and its elimination by explicit negations are central arguments against a substantial role for inferential processes. Two WST experiments were conducted in the negations paradigm to replicate the basic finding and to compare effects of implicit and explicit negations. Results revealed robust matching bias in implicit negations. In contrast to previous findings, matching bias was reduced but not eliminated (...) in conditions using explicit negations. Model-based analyses suggest that matching bias is due to a switch towards a negative test strategy caused by negations. (shrink)

This thesis has the following aims. First, to show that Deleuze can be situated clearly within the post-Kantian tradition. This is achieved through an analysis of the relations between Kant's transcendental idealism and Deleuze's transcendental empiricism. Second, to explore the criticisms of representational theories of difference which can be found in the work of Deleuze and Hegel. Representational theories are best understood as theories which rely on a logic which is governed by relations between entities which pre-exist those relations. Deleuze (...) argues that these logics presuppose the formal equivalent of a homogeneous space within which these relations can be construed. Hegel similarly understands representation as the utilisation of finite categories which rely on the fixity of the subject of predication. The third aim is to provide a rigorous explication of some of the key themes of Deleuzian ontology, particularly in relation to the problem of representation. This will involve looking at the logic of multiplicities, which attempts to provide a theory of difference that is non-oppositional. This logic will be clarified through a discussion of Deleuze's use of modern geometry, and his analysis of the foundations of the calculus. The fourth aim will be to contrast Deleuze's solution with that of Hegel, particularly with respect to their relationships to Kant and the calculus. This is achieved through the Deleuzian distinction between finite and infinite representation, the latter in Deleuze's view characterising the Hegelian attempt to bring the idea of transition into representation itself. Finally, having shown where Deleuze and Hegel differ in their respective projects, the thesis will explore whether either of these philosophies has the resources to provide a refutation of the other with reference to the dialectic of force and the understanding in the henomenology of Spirit, and the problem of the one and the many. (shrink)

Philosophy & Social Criticism, Ahead of Print. In liberal political philosophy, from Michel de Montaigne to Judith Shklar, cruelty – the wilful inflicting of pain on another in order to cause anguish and fear – has been singled out as ‘the most evil of all evils’ and as unjustifiable: the ultimate vice. An unconditional rejection and negation of cruelty is taken to be programmatic within a liberal paradigm. In this contribution, two anthropologists triangulate cruelty as a concept with torture (...) and with love. Treating the capability to practise cruelty and the liability to suffer from cruelty as universal aspects of a human condition, Stade and Rapport aim to instantiate the precise enactment of cruelty, firstly, and secondly, to propose a process of its social negation. CIA training manuals and quotidian practice within the British National Health Service are employed as illustrative materials. (shrink)

Philosophy & Social Criticism, Ahead of Print. In liberal political philosophy, from Michel de Montaigne to Judith Shklar, cruelty – the wilful inflicting of pain on another in order to cause anguish and fear – has been singled out as ‘the most evil of all evils’ and as unjustifiable: the ultimate vice. An unconditional rejection and negation of cruelty is taken to be programmatic within a liberal paradigm. In this contribution, two anthropologists triangulate cruelty as a concept with torture (...) and with love. Treating the capability to practise cruelty and the liability to suffer from cruelty as universal aspects of a human condition, Stade and Rapport aim to instantiate the precise enactment of cruelty, firstly, and secondly, to propose a process of its social negation. CIA training manuals and quotidian practice within the British National Health Service are employed as illustrative materials. (shrink)

This chapter contains sections titled: Abstract Definition General Contrasts between Relativism and Absolutism Reference Frames Domains Levels Values Absolutist Strands a Relativist Might Negate On the Putative Self ‐ Contradiction of Relativism Reach of Reasons Conclusion Bibliography.

Tractatus Logico-Pilosophicus, the only book published during Ludwig Wittgenstein's lifetime , has since attracted the imagination of generations of philosophers as a work of great philosophical genius. Nonetheless, even today, more than eighty years later, philosophers are struggling to reconcile its diverse themes within a single, coherent picture. The present work is an attempt to meet this challenge. ;Wittgenstein considered the single proposition as a concrete model for the fact. The challenge is to show how a system of propositions can (...) serve as a model of reality. My work concentrates on three pillars of the logic of the Tractatus: the picture theory, negation as "reversal of sense," the independence of elementary propositions. Using a simple scenario of the ordering of objects or letters on a line, I examine the conflict generated by the attempt to adequately accommodate all three themes and offer my own solution. My solution brings implications to the problem of negation and to the Tractatus's thesis that the possibilities of logical space are spanned by the possible configurations of the ultimately simple objects. One such implication, which stands in contrast to the common reading, is that in atomic facts we have 'complex objects' as constituents. ;The resolution offered, furthermore, exposes an intrinsic difficulty in the Tractatus, for which I have reserved the term arbitrary choice. The difficulty is manifested in the lack of assurance---from the perspective of logic---that a concept-word will preserve its 'standard' meaning when it is reapplied or when its scope of application varies. In this I uncover the seed of central themes in Wittgenstein's later philosophy, e.g. the rule-following argument, as present already in the Tractatus. ;In the concluding chapter, I suggest a new account for the nature of the proposition by connecting the analysis offered in the Tractatus with the subject of time and motion. The picture with which the work concludes then considers language not as corresponding to reality, but as engaged or synchronized with reality---if you will, it is a picture of language and reality in a dance. (shrink)

This article investigates why Hegel contrasts doubt and ancient scepticism in his 1802 essay, and shows how original this view is. The article shows that this separation rests on ascribing a certainty in the act of negating to the sceptic; this can be seen, first, in Hegel’s interpretation of the relationship between Pyrrhonism and the New Academy and, second, in his reading of Plato’s Parmenides.

When contrasting something with its opposite, such as positive numbers with negative numbers, repulsion with attraction, good and evil, beauty and ugliness, Kant some-times says the latter are not merely cases of negation or privation of the former, but that they have their own, independent grounds. But do negative judgments of taste really have a priori grounds? There are two kinds of negative judgments of taste: “This is not beautiful” and “This is ugly.” Can they be a priori judgments? (...) Or are they always impure and without a priori basis? In this essay, I argue that they can be pure a priori judgments. I will give detailed analyses of examples involving part-whole relationships, objects of art, and aesthetic ideas. In addition, detailed discussions of opposing interpretations will be offered. (shrink)

Peters and Westerståhl (Quantifiers in Language and Logic, 2006), and Westerståhl (New Perspectives on the Square of Opposition, 2011) draw a crucial distinction between the “classical” Aristotelian squares of opposition and the “modern” Duality squares of opposition. The classical square involves four opposition relations, whereas the modern one only involves three of them: the two horizontal connections are fundamentally distinct in the Aristotelian case (contrariety, CR vs. subcontrariety, SCR) but express the same Duality relation of internal negation (SNEG). Furthermore, (...) the vertical relations in the classical square are unidirectional, whereas in the modern square they are bidirectional. The present paper argues that these differences become even bigger when two more operators are added, namely the U ( ${{\equiv} {\rm A}\,{\vee} \,{\rm E} }$ , all or no) and Y ( ${\equiv{\rm I} \,{\wedge} \,{\rm O}}$ , some but not all) of Blanché (Structures Intellectuelles, 1969). In the resulting Aristotelian hexagon the two extra nodes are perfectly integrated, yielding two interlocking triangles of CR and SCR. In the duality hexagon by contrast, they do not enter into any relation with the original square, but constitute a independent pair of their own, since they are their own SNEGs. Hence, they not only stand in a relation of external NEG, but also in one of duality. This reflexive nature of the SNEG will be shown to result in defective monotonicity configurations for the pair, namely the absence of right-monotonicity (on the predicate argument). In the second half of the paper, we present an overview of those hexagonal structures which are both Aristotelian and Duality configurations, and those which are only Aristotelian. (shrink)

In this paper we present a logic that determines when implications in a classical logic context express a relevant connection between antecedent and consequent. In contrast with logics in the relevance logic literature, we leave classical negation intact—in the sense that the law of non-contradiction can be used to obtain relevant implications, as long as there is a connection between antecedent and consequent. On the other hand, we give up the requirement that our theory of relevance should be able (...) to define a new standard of deduction. We present and argue for a list of requirements such a logical theory of classical relevance needs to meet and go on to formulate a system that respects each of these requirements. The presented system is a Tarski logic that extends the relevance logic R with a new relevant implication which allows for Disjunctive Syllogism and similar rules. This is achieved by interpreting the logical symbols in the antecedents in a stronger way than the logical symbols in consequents. A proof theory and an algebraic semantics are formulated and interesting metatheorems are proven. Finally we give a philosophical motivation for our non-standard relevant implication and the asymmetric interpretation of antecedents and consequents. (shrink)

In this paper I contrast Husserlian transcendental eidetic phenomenology with some other views of what phenomenology is supposed to be and argue that, as eidetic, it does not admit of being ‘naturalized’ in accordance with standard accounts of naturalization. The paper indicates what some of the eidetic results in phenomenology are and it links these to the employment of reason in philosophical investigation, as distinct from introspection, emotion or empirical observation. Eidetic phenomenology, unlike cognitive science, should issue in a ‘logic’ (...) of consciousness. Instead of being derived from empirical investigations its results should consist of high-level background conditions that are necessary for cognitive science to be possible in the first place. To negate these conditions is to be faced with certain types of ‘material’ contradictions. Some analogies with science – mathematical science – are used to develop the argument. (shrink)

This comment piece examines the distinction between negation of a statement and denial of its truth, in the context of an early examination of Quine's related views. Where P is "Jones is ill," the author maintains, in contrast to Quine, that the negation of P is "Jones is ill" is false.

‘Only’ associates with focus and licenses NPIs. This paper looks at the distributional pattern of NPIs under ‘only’ and presents evidence for the movement theory of focus association and against an in situ approach. NPIs are licensed in the ‘scope’ (or the second argument) of ‘only’, but not in the complement (or its first argument), which I will call the ‘syntactic restrictor’. While earlier approaches argued that ‘only’ licenses NPIs in the unfocused part of the sentence it occurs in except (...) in its focus, evidence from DP-‘only’ shows that NPIs are also not licensed in the unfocused part of the syntactic restrictor. The distribution of NPIs provides a test for the size of the syntactic restrictor, and this test is applied to the case of VP-‘only’. The evidence shows that (i) the restrictor can be smaller than the entire VP and is not necessarily identical to the surface complement of ‘only’; (ii) in the case of association with a head the restrictor comprises an XP containing the head; and (iii) in cases of association into an island, the restrictor comprises the entire island. Generalizations (i)–(iii) can be captured straightforwardly by a movement approach but are incompatible with an in situ analysis. Contextual domain- restriction of the kind used in in situ approaches accounts for the appropriate semantics in cases where the semantic focus is properly contained in the syntactic restrictor of ‘only’. (shrink)

Throughout his work, Adorno contrasted liberal ideology to the newer and more pernicious form of ideology found in positivism. The paper explores the philosophical basis for Adorno's contrast between liberal and positivist ideology. In Negative Dialectics, Adorno describes all ideology as identity-thinking. However, on his view, liberal ideology represents a more rational form of identity-thinking. Fearing that positivism might obliterate our capacity to distinguish between what is and what ought to be, Adorno sought a more secure foundation for his critique (...) of existing conditions. He found this basis in liberal discourse. In the concept of freedom, for example, Adorno located ideas or ideals that negate and transcend the given. One of the conditions for the possibility of critical thought lies in such ideas; critical thinking consists in wielding the more emphatic content of concepts against the pathic rationality of existing conditions. Far from prescribing mimesis as the antidote to a damaged social, political and economic reality, then, Adorno advocates a more dialectically inflected use of concepts as the basis for social criticism. Key Words: Adorno • Critique • Identity • Ideology • Liberalism • Positivism. (shrink)

Advocates of Expressivism about basically any kind of language are best-served by abandoning a traditional content-centric approach to semantic theorizing, in favor of an update-centric or dynamic approach (or so this paper argues). The type of dynamic approach developed here — in contrast to the content-centric approach — is argued to yield canonical, if not strictly classical, "explanations" of the core semantic properties of the connectives. (The cases on which I focus most here are negation and disjunction.) I end (...) the paper by describing a distinctive sense in which mental states might play a fundamental role in the practice of semantic theorizing (as I understand it), and I connect this to a distinctive account of the pragmatic function of, e.g., a normatively laden claim in discourse. (shrink)

I like the view that the fundamental facts are logically simple, not complex. However, some universal generalizations and negations may appear fundamental, because they cannot be explained by logically simple facts about particulars. I explore a natural reply: those universal generalizations and negations are true because certain logically simple facts—call them —are the fundamental facts. I argue that this solution is only available given some metaphysical frameworks, some conceptions of metaphysical explanation and fundamentality. It requires a ‘fitting’ framework, according to (...) which metaphysical theories explain the aptness of representations in terms of how things are fundamentally. Fitting frameworks conceive of the fundamental facts as those that are metaphysically ‘real’; call them the ‘facts-in-reality’. Moreover, we must take as primary a plural notion of the facts-in-reality, not the singular notion of a fact-in-reality. By contrast, a metaphysics that grounds facts is incompatible with my strategy for keeping the fundamental facts logically simple. (shrink)

I defend logical realism. I begin by motivating the realist approach by underlining the difficulties for its main rival: inferentialism. I then focus on AND and OR, and delineate a realist view of these two logical constants. The realist view is developed in terms of Alexander’s Principleshowing that AND and OR have distinctive determining roles. After that, I say what logic is not. We should not take logic to be essentially about the mind, or language, or exclusively about an abstract (...) realm, or about reasoning, truth, truth-tables, truth-functions, topic-neutrality or form. Lastly, I turn to consider NEGATION and argue that we cannot escape negative facts, and facts conjoining and disjoining negative facts with positive facts. I then give NEGATION a distinctive role, one that contrasts with AND and OR. I reflect on the notion of logic in the coda. (shrink)

Gregor Moder’s Hegel and Spinoza: Substance and Negativity is a lively entry into current debates concerning Hegel, Spinoza, and their relation. Hegel and Spinoza are two of the most influential philosophers of the modern era, and the traditions of thought they inaugurated have been in continuous dialogue and conflict ever since Hegel first criticized Spinoza. Notably, eighteenth- and nineteenth-century German Idealists aimed to overcome the determinism of Spinoza’s system by securing a place for the freedom of the subject within it, (...) and twentieth-century French materialists such as Althusser and Deleuze rallied behind Spinoza as the ultimate champion of anti-Hegelian materialism. This conflict, or mutual rejection, lives on today in recent discussions about materialism. Contemporary thinkers either make a Hegelian case for the productiveness of concepts of the negative, nothingness, and death, or in a way that is inspired by Spinoza they abolish the concepts of the subject and negation and argue for pure affirmation and the vitalistic production of differences. Hegel and Spinoza traces the historical roots of these alternatives and shows how contemporary discussions between Heideggerians and Althusserians, Lacanians and Deleuzians are a variation of the disagreement between Hegel and Spinoza. Throughout, Moder persuasively demonstrates that the best way to read Hegel and Spinoza is not in opposition or contrast but together: as Hegel and Spinoza. (shrink)

This book seeks to show how Karl Marx’s vision of communism was a continuation of Aristotle’s classical humanist philosophy. Challenging the Engelsian distortion of Marx, it presents a negation of previous interpretations of Marx which present him in materialist terms. Engels proposed a picture of the highest stage of communist society as an economic egalitarianism, a vision which became an axiom of Leninist-Stalinist-Soviet Communism. By contrast, here it is shown that Marx embraced the Aristotelian concept of “distributive justice”, of (...) proportionate equality. Spanning the works of Marx, from his university education and doctoral dissertation on the differences between the Democritean and Epicurean philosophy of the atom, to the study of his Rheinische Zeitung period and the persistence of classical humanism in Marx’s defense of the freedom of the press, Levine skillfully reveals the gravitational pull between Marx and Aristotle. Showing how classical humanism is the dominant ethos in the communism of Marx, the book includes chapters on: Hegel as a transition point between Aristotle and Marx The links between Marx’s theory of labor and Aristotle’s idea of the constitutive subject located in The Politics How the local methodologies of Aristotle and Hegel provided Marx with the social methodologies by which to interpret the functioning of capitalism Marx's Resurrection of Aristotle is the culmination of Norman Levine's life-long work to establish the correct placement of Marx and Marx’s communism within the classical humanist tradition. (shrink)

In the study of women in academia, the focus is often particularly on women’s stark underrepresentation in the math-intensive fields of natural sciences, technology, and economics. In the non-math-intensive of fields life, social and behavioral sciences, gender issues are seemingly less at stake because, on average, women are well-represented. However, in the current study, we demonstrate that equal gender representation in LSB disciplines does not guarantee women’s equal opportunity to advance to full professorship—to the contrary. With a cross-sectional survey among (...) N = 2,109 academics at mid-level careers in the Netherlands, we test the hypothesis that in LSB, female academics perceive to hit a “thicker” glass ceiling—that is, they see a sharper contrast between the high representation of women at the lower compared to the top levels. We test whether this predicts female academics’ lower estimated chances to reach full professorship relative to men in LSB. We introduce a novel perceived glass ceiling index, calculated based on academics’ perceptions of the share of women and men in their direct work environment minus their perceptions of gender ratio among full professors in their field. Results confirm that the perceived glass ceiling is thicker in the non-math-intensive LSB compared to math-intensive NTE fields. Furthermore, only in LSB, women perceived a thicker glass ceiling than men. Moreover, only among female academics, the thicker the perceived glass ceiling, the lower their estimated chances to become full professor 1 day. Combined, a moderated mediation showed that for women only, a thicker perceived glass ceiling in LSB compared to NTE disciplines predicted their lower estimated chances to advance to full professor level. No such mediation occurred for men. We conclude that women’s higher numerical representation in LSB disciplines does not negate a male-dominant normative standard about academic leadership and success. Paradoxically, the perceived odds for female academics to reach the top of their field are lower in fields where they are relatively highly represented, and this may pose unique barriers to women’s perceived opportunities for career success. (shrink)

Since each term only has significance in contrast to its negation, the distinction between the noumenal and the phenomenal is a Kantian philosophical postulation that is as arbitrary as any binary (e.g., presence–absence) when submitted to Jacques Derrida’s method of deconstruction. According to Noumenism – a philosophy founded on the non-dualistic reinscription of phenomena and noumena – works of art possess elements which are simultaneously sense-data, and no data to any mind. This paradoxical status is achieved by means of (...) an artist-invented mechanism which allows its generative workings to run amok. The mechanism itself is a ‘compound-image’ formed by the paranoiac-critical activity of abolishing the mutual exclusivity of two or more different systems (i.e., the organization of related elements into complex wholes, methods, procedures, techniques, etc.). To illustrate this, an analysis of ‘No. 6’ from Noumenist poet Jason Johnson’s Hymns from Purgatory is undertaken. As they develop, refine or adopt their own philosophies of art, today’s artists and tomorrow’s are challenged to reckon with the ideas put forward in this article. (shrink)

This article compares the concept of habitus, as formulated in the work of Mauss and Bourdieu, with the concept of habit, as formulated in the work of Merleau-Ponty and Dewey. The rationale for this, on one level, is to seek to clarify these concepts and any distinction that there may be between them – though the article notes the wide variety of uses of both concepts and suggests that these negate the possibility of any definitive definitions or contrasts. More centrally, (...) however, the purpose of the comparison is to draw out a number of important issues and debates which, it is argued, further work must address if the concepts of habit and habitus are to continue to prove useful and illuminating in social science. (shrink)

The thesis defended, the “guise of the ought”, is that the formal objects of desires are norms (oughts to be or oughts to do) rather than values (as the “guise of the good” thesis has it). It is impossible, in virtue of the nature of desire, to desire something without it being presented as something that ought to be or that one ought to do. This view is defended by pointing to a key distinction between values and norms: positive and (...) negative norms (obligation and interdiction) are interdefinable through negation; positive and negative values aren’t. This contrast between the norms and values, it is argued, is mirrored, within the psychological realm, by the contrast between the desires and emotions. Positive and negative desires are interdefinable through negation, but positive and negative emotions aren’t. The overall, Meinongian picture suggested is that norms are to desires what values are to emotions. (shrink)

Findings from two experiments argue in favor of the superiority of default, preferred interpretations over non-default less favored counterparts, outshining degree of non-salience, non-literalness, contextual strength, and negation. They show that, outside of a specific context, the default interpretation of specific negative constructions is a non-salient interpretation 1; their non-default interpretation is a salience-based alternative. In contrast, the default interpretation of the affirmative counterparts is a salience-based interpretation ; their non-default interpretation is a non-salient alternative. When in equally strongly (...) supportive contexts, default yet non-salient negative sarcasm is processed faster than non-default, non-salient yet affirmative sarcasm and faster than non-default yet salience-based negativ.. (shrink)

Two major twentieth century philosophers, of East and West, for whom the nothing is a significant concept are Nishida Kitarō and Martin Heidegger. Nishida’s basic concept is the absolute nothing upon which the being of all is predicated. Heidegger, on the other hand, thematizes the nothing as the ulterior aspect of being. Both are responding to Western metaphysics that tends to substantialize being and dichotomize the real. Ironically, however, while Nishida regarded Heidegger as still trapped within the confines of Western (...) metaphysics with its tendency to objectify, Heidegger’s impression of Nishida was that he is too Western, that is, metaphysical. Yet neither was too familiar with the other’s philosophical work as a whole. I thus compare and assess Nishida’s and Heidegger’s discussions of the nothing in their attempts to undermine traditional metaphysics while examining lingering assumptions about the Nishida–Heidegger relationship. Neither Nishida nor Heidegger means by “nothing” a literal nothing, but rather that which permits beings in their relative determinacy to be what they are and wherein or whereby we find ourselves always already in our comportment to beings. Nishida characterizes this as a place that negates itself to give rise to, or make room for, beings. For Heidegger, being as an event that clears room for beings, releasing each into its own, is not a being, hence nothing. We may also contrast them on the basis of the language they employ in discussing the nothing. Yet each seemed to have had an intuitive grasp of an un/ground, foundational to experience and being. And in fact their paths cross in their respective critiques of Western substantialism, where they offer as an alterantive to that substantialist ontology, in different ways, what I call anontology. (shrink)

The publication in 2015 (ed. Li) of Chap. 6 of the rediscovered Sanskrit text of Candrakīrti’s Madhyamakāvatāra (MA) allows us to witness more directly Candrakīrti’s careful and deliberate critique of the ‘chariot argument’ for the merely conventional existence of the self in Indian Abhidharmic thought. I argue that in MA 6.140–141, Candrakīrti alludes to the use of the chariot argument in the Milindapañha as negating only the view of a permanent self (compared to an elephant), rather than negating ego-identification (compared (...) to a snake in its hole). In contrast to this misuse of the chariot argument, in MA 6.150–165 Candrakīrti uses the chariot argument as an allegory to enable the meditator to refute the basis of ego-identification in seven ways. Candrakīrti’s use of the chariot argument does not establish any theory about the self or not-self, but acts as a guide to meditation as part of philosophy as a spiritual practice with the goal of liberation. (shrink)