Our question is: can we embed minimal negation in implicative logics weaker than I→? Previous results show how to define minimal negation in the positive fragment of the logic of relevance R and in contractionless intuitionistic logic. Is it possible to endow weaker positive logics with minimal negation? This paper prooves that minimal negation can be embedded in even such a weak system as Anderson and Belnap’s minimal positive logic.

Minimal Negation is defined within the basic positive relevance logic in the relational ternary semantics: B+. Thus, by defining a number of subminimal negations in the B+ context, principles of weak negation are shown to be isolable. Complete ternary semantics are offered for minimal negation in B+. Certain forms of reductio are conjectured to be undefinable (in ternary frames) without extending the positive logic. Complete semantics for such kinds of reductio in a properly extended (...) class='Hi'>positive logic are offered. (shrink)

Aristotle draws what are, by our lights, two unusual relationships between predication and existence. First, true universal affirmations carry existential import. If ‘All humans are mortal’ is true, for example, then at least one human exists. And secondly, although affirmations with empty terms in subject position are all false, empty negations are all true: if ‘Socrates’ lacks a referent, then both ‘Socrates is well’ and ‘Socrates is ill’ are false but both ‘Socrates is not well’ and ‘Socrates is not ill’ (...) are true. In this paper, I conjecture that for Aristotle predications have mereological truth conditions: for example, ‘Socrates is pale’ is true just in case Socrates is a part of the mereological sum of pale things. The existential import of universal affirmations and the semantic profile of empty negations follow from this mereological semantics. (shrink)

We argue that, if taken seriously, Kripke's view that a language for science can dispense with a negation operator is to be rejected. Part of the argument is a proof that positive logic, i.e., classical propositional logic without negation, is not categorical.

Positive polarity items (PPIs) are generally thought to have the boring property that they cannot scope below negation. The starting point of the paper is the observation that their distribution is significantly more complex; specifically, someone/something-type PPIs share properties with negative polarity items (NPIs). First, these PPIs are disallowed in the same environments that license yet type NPIs; second, adding any NPI-licenser rescues the illegitimate constellation. This leads to the conclusion that these PPIs have the combined properties of (...) yet-type and ever-type NPIs: what appears to be a prohibition is nothing but “halfway licensing”. The paper goes on to propose a unification of the analyses of rescuable PPIs, NPIs, and negative concord, and questions the grounding of polarity sensitivity in the scalar or the referential semantics of the items involved. (shrink)

Spinoza ’s letter of June 2, 1674 to his friend Jarig Jelles addresses several distinct and important issues in Spinoza ’s philosophy. It explains briefly the core of Spinoza ’s disagreement with Hobbes’ political theory, develops his innovative understanding of numbers, and elaborates on Spinoza ’s refusal to describe God as one or single. Then, toward the end of the letter, Spinoza writes: With regard to the statement that figure is a negation and not anything positive, it is (...) obvious that matter in its totality, considered without limitation [indefinitè consideratam], can have no figure, and that figure applies only to finite and determinate bodies. For he who says that he apprehends a figure, thereby means to indicate simply this, that he apprehends a determinate thing and the manner of its determination. This determination therefore does not pertain to the thing in regard to its being [esse]; on the contrary, it is its non-being [non-esse]. So since figure is nothing but determination, and determination is negation [Quia ergo figura non aliud, quam determinatio, et determinatio negatio est], figure can be nothing other than negation, as has been said. Arguably, what is most notable about this letter is the fate of a single subordinate clause which appears in the last sentence of this passage: et determinatio negatio est. That clause was to be adopted by Hegel and transformed into the slogan of his own dialectical method: Omnis determinatio est negatio. Of further significance is the fact that, while Hegel does credit Spinoza with the discovery of this most fundamental insight, he believes Spinoza failed to appreciate the importance of his discovery. The issue of negation and the possibility of self-negation stand at the very center of the philosophical dialogue between the systems of Spinoza and Hegel, and in this paper I will attempt to provide a preliminary explication of this foundational debate between the two systems. In the first part of the paper I will argue that the “determination is negation” formula has been understood in at least three distinct senses among the German Idealists, and as a result many of the participants in the discussion of this formula were actually talking past each other. The clarification of the three distinct senses of the formula will lead, in the second part of the paper, to a more precise evaluation of the fundamental debate between Spinoza and Hegel regarding the possibility of self-negation. In this part I will evaluate the validity of each interpretation of the determination formula, and motivate the positions of the various participants in the debate. (shrink)

Etude de l'extension par la negation semi-intuitionniste de la logique positive des propositions appelee logique C, developpee par A. Urquhart afin de definir une semantique relationnelle valable pour la logique des valeurs infinies de Lukasiewicz (Lw). Evitant les axiomes de contraction et de reduction propres a la logique classique de Dummett, l'A. propose une semantique de type Routley-Meyer pour le systeme d'Urquhart (CI) en tant que celle-la ne fournit que des theories consistantes pour la completude de celui-ci.

In this paper, my main aim is to analyse Mao’s conception of Marxist theory and his Marxist subjectivity in theory construction in his three articles. While doing so, I will use two main approaches, first is the idea that Karl Marx’s method in understanding social relations and his theory of knowledge is in many aspects compatible and in continuation with an epistemological reading of Hegel’s subjectivity, and the second is the general structure about the relationship between the object and subject’s (...) process of knowing is similar in all three thinkers. While doing so, I will advocate the position that Mao’s epistemology is compatible with the Marxist understanding of Hegelian epistemology, and that from such an epistemological understanding it is possible to investigate Mao’s three texts in a way that yields, not an orthodox or “end result” Marxism, but instead a more general, meta epistemological understanding of Marx, that is understood better structurally. Eventually, I will claim that while using “scientific” or “orthodox” Marxism as a method to understand society, Mao further uses the subjective element in the same way as Hegel and Marx used it, although eventually he diverts the Marxist subjective manoeuvre to another direction. (shrink)

Philosophy is an important relation with education as it gives theoretical ground for its development. Principles and values of life learnt through education and experience gives birth to philosophy. Philosophy lays the foundation of leading one’s life based on principles. Education is the source of learning and philosophy it’s applications in human life. While discussing about the real nature of philosophy in present time, we should have a single criteria as if it to be acceptable to all reasonable people of (...) the world. In defining Positive Philosophy it may be said, The Positive Philosophy is an attempt to achieve an intellectual detachment from all philosophical systems, and not to solve specific philosophical problems, but to become sensitively aware of what it is we do when we philosophize. It is an attitude as well as a methodology for both academician and common person. It make education process positive so that it can make something useful for societal growth and in working process it also make the person sensitive about the societal problems and make them ready to be a part of social change. I am not negating something, here “positive” word is not an antonym but it is an adjective. Where there are merely religious, metaphysical and passive ideologies in our education system, we are not able to have a good and creative education. Positive Philosophy is working on that issues which have some worth for human. It is a process to do something creative. We are using innovative method. An innovator could be rebellion because he breaks the established method, norms and redefines the layer of thought. Innovation not simply implies questioning, reshaping, restricting but also developing through transformation. A teacher can play an important role in promoting this discussion because a teacher has the capacity to influence students with their thoughts and personality and engages them to creative activities. Innovativeness needs to be included in the curriculum. Once one becomes habitual to this attitude he/she will be ready to do some positive or creative. In this paper it is an attempt being made to apply positive philosophy though innovative method in our present education system. -/- . (shrink)

Seventeenth century scholastics had a rich debate about the ontological status and nature of lacks, negations, and privations. Realists in this debate posit irreducible negative entities responsible for the non-existence of positive entities. One of the first scholastics to develop a realist position on negative entities was Thomas Compton Carleton. In this paper I explain Carleton's theory of negative entities, including what it is for something to be negative, how negative entities are individuated, whether they are abstract or concrete, (...) and how they affect their subjects. I argue that for Carleton, negative entities are conceived as spatially extended simples that affect their subjects by means of spatial overlap. I also show how Carleton responds to some theological worries about his realism concerning negative entities. (shrink)

This essay explores the interrelationship between tragedy and comedy, with specific focus given to the potential that comedy can provide in transforming the most tragic of situations. In building this claim, the very dynamics and distinctions that divide the tragic from the comic are considered in view of the self-negation that the comic posits. That is, while tragedy requires a certain acceptance of the finite, from which destiny and circumstance come to certify the hero’s tragic predicament, in comedy, what (...) succeeds is that which functions through an act of self-negation. This, it is argued, offers a subversive redefining of tragedy, one that proves constitutive of a comic fatalism that does not mourn one’s tragic predicament or fated end, but, instead, fully identifies with our comic predicament. Going beyond the pitfalls of political nicety and moral condemnation, which seek easy gratification or cynical distance, the conclusion examines the conceptual artist, Vanessa Place, and her performance of rape jokes. (shrink)

This paper focuses on order-preserving logics defined from varieties of distributive lattices with negation, and in particular on the problem of whether these can be axiomatized by means Hilbert-style calculi that are finite. On the negative side, we provide a syntactic condition on the equational presentation of a variety that entails failure of finite axiomatizability for the corresponding logic. An application of this result is that the logic of all distributive lattices with negation is not finitely axiomatizable; we (...) likewise establish that the order-preserving logic of the variety of all Ockham algebras is also not finitely axiomatizable. On the positive side, we show that an arbitrary subvariety of semi-De Morgan algebras is axiomatized by a finite number of equations if and only if the corresponding order-preserving logic is axiomatized by a finite Hilbert-style calculus. This equivalence also holds for every subvariety of a Berman variety of Ockham algebras. We obtain, as a corollary, a new proof that the implication-free fragment of intuitionistic logic is finitely axiomatizable, as well as a new corresponding Hilbert-style calculus. Our proofs are constructive in that they allow us to effectively convert an equational presentation of a variety of algebras into a Hilbert-style calculus for the corresponding order-preserving logic, and vice versa. We also consider the assertional logics associated to the above-mentioned varieties, showing in particular that the assertional logics of finitely axiomatizable subvarieties of semi-De Morgan algebras are finitely axiomatizable as well. (shrink)

The standard rule of single privative modification replaces privative modifiers by Boolean negation. This rule is valid, for sure, but also simplistic. If an individual a instantiates the privatively modified property (MF) then it is true that a instantiates the property of not being an F, but the rule fails to express the fact that the properties (MF) and F have something in common. We replace Boolean negation by property negation, enabling us to operate on contrary rather (...) than contradictory properties. To this end, we apply our theory of intensional essentialism, which operates on properties (intensions) rather than their extensions. We argue that each property F is necessarily associated with an essence, which is the set of the so-called requisites of F that jointly define F. Privation deprives F of some but not all of its requisites, replacing them by their contradictories. We show that properties formed from iterated privatives, such as being an imaginary fake banknote, give rise to a trifurcation of cases between returning to the original root property or to a property contrary to it or being semantically undecidable for want of further information. In order to determine which of the three forks the bearers of particular instances of multiply modified properties land upon we must examine the requisites, both of unmodified and modified properties. Requisites underpin our presuppositional theory of positive predication. Whereas privation is about being deprived of certain properties, the assignment of requisites to properties makes positive predication possible, which is the predication of properties the bearers must have because they have a certain property formed by means of privation. (shrink)

The de Morgan laws characterize how negation, conjunction, and disjunction interact with each other. They are fundamental in any semantics that bases itself on the propositional calculus/Boolean algebra. This paper is primarily concerned with the second law. In English, its validity is easy to demonstrate using linguistic examples. Consider the following: (3) Why is it so cold in here? We didn’t close the door or the window. The second sentence is ambiguous. It may mean that I suppose we did (...) not close the door or did not close the window, but I am not sure which. This `I am not sure which’ reading is irrelevant to us because it has disjunction scoping over negation. But the sentence may equally well mean (and indeed this is the preferred reading) that we didn’t close the door and did not close the window. This `neither’ reading bears out de Morgan law (2). (shrink)

In his "Ontological proof", Kurt Gödel introduces the notion of a second-order value property, the positive property P. The second axiom of the proof states that for any property φ: If φ is positive, its negation is not positive, and vice versa. I put forward that this concept of positiveness leads into a paradox when we apply it to the following self-reflexive sentences: (A) The truth value of A is not positive; (B) The truth value (...) of B is positive. Given axiom 2, sentences A and B paradoxically cannot be both true or both false, and it is also impossible that one of the sentences is true whereas the other is false. (shrink)

Surányi (2006) observed that Hungarian has a hybrid (strict + non-strict) negative concord system. This paper proposes a uniform analysis of that system within the general framework of Zeijlstra (2004, 2008) and, especially, Chierchia (2013), with the following new ingredients. Sentential negation NEM is the same full negation in the presence of both strict and non-strict concord items. Preverbal SENKI `n-one’ type negative concord items occupy the specifier position of either NEM `not' or SEM `nor'. The latter, SEM (...) spells out IS `too, even’ in the immediate scope of negation; it is a focus-sensitive head on the clausal spine. SEM can be seen as an overt counterpart of the phonetically null head that Chierchia dubs NEG; it is capable of invoking an abstract (disembodied) negation at the edge of its projection. (shrink)

After 50 years of debate, the ethics of aggregation has reached a curious stalemate, with both sides arguing that only their theory treats people as equals. I argue that, on the issue of equality, both sides are wrong. From the premise that “each counts for one,” we cannot derive the conclusion that “more count for more”—or its negation. The familiar arguments from equality to aggregation presuppose more than equality: the Kamm/Scanlon “Balancing Argument” rests on what social choice theorists call (...) “(Positive) Responsiveness,” Kamm’s “Aggregation Argument” assumes that “equal” lives are fungible, and Hsieh et al. have it that spreading goods broadly best approximates equality. In each case, the crucial premise is not equality itself but a further idea that Taurek, I argue, can safely reject. I conclude with a conjecture: there is no theory-neutral argument that settles the question of whether the numbers count. (shrink)

The problem of negative truth is the problem of how, if everything in the world is positive, we can speak truly about the world using negative propositions. A prominent solution is to explain negation in terms of a primitive notion of metaphysical incompatibility. I argue that if this account is correct, then minimal logic is the correct logic. The negation of a proposition A is characterised as the minimal incompatible of A composed of it and the logical (...) constant ¬. A rule based account of the meanings of logical constants that appeals to the notion of incompatibility in the introduction rule for negation ensures the existence and uniqueness of the negation of every proposition. But it endows the negation operator with no more formal properties than those it has in minimal logic. (shrink)

The variety and ambiguity of our use of negation has often been classified according to the classes of negated terms. But if we take into account, first, the negations of possibility and necessity, and second, the negations of questions and wishes, it seems that not only negated expressions change, but the way to negate as well. If we consider that up to here every negation has only been a relative one, we may ask if it is possible to (...) say „nothing“ or „not“ in an absolute manner. This attempt is not idle, since great principles, such as that of sufficient reason , possibly make use of an absolute „not.“ How to speak of an "absolute nothing"? - Our negative speech is not exhausted by negation, since opposition, contradiction and difference contain some idea of the negative too. Certain remarks in Plato’s Sophist point to a prerogative position of difference within the whole group of negative speech mentioned above. (shrink)

Deontic necessity modals (e.g. 'have to', 'ought to', 'must', 'need to', 'should', etc.) seem to vary in how they interact with negation. According to some accounts, what forces modals like 'ought' and 'should' to outscope negation is their polarity sensitivity -- modals that scope over negation do so because they are positive polarity items. But there is a conflict between this account and a widely assumed theory of if-clauses, namely the restrictor analysis. In particular, the conflict (...) arises for constructions containing a bound pronoun in the if-clause. This note spells out the core conflict. (shrink)

The term 'covert mixed quotation' describes cases in which linguistic material is interpreted in the manner of mixed quotation — that is, used in addition to being mentioned — despite the superficial absence of any commonly recognized conventional devices indicating quotation. After developing a novel theory of mixed quotation, I show that positing covert mixed quotation allows us to give simple and unified treatments of a number of puzzling semantic phenomena, including the projective behavior of conventional implicature items embedded in (...) indirect speech reports and propositional attitude ascriptions, so-called 'c-monsters,' metalinguistic negation, metalinguistic negotiation, and 'in a sense' constructions. (shrink)

This work studies some problems connected to the role of negation in logic, treating the positive fragments of propositional calculus in order to deal with two main questions: the proof of the completeness theorems in systems lacking negation, and the puzzle raised by positive paradoxes like the well-known argument of Haskel Curry. We study the constructive com- pleteness method proposed by Leon Henkin for classical fragments endowed with implication, and advance some reasons explaining what makes difficult (...) to extend this constructive method to non-classical fragments equipped with weaker implications (that avoid Curry's objection). This is the case, for example, of Jan Lukasiewicz's n-valued logics and Wilhelm Ackermann's logic of restricted implication. Besides such problems, both Henkin's method and the triviality phenomenon enable us to propose a new positive tableau proof system which uses only positive meta-linguistic resources, and to mo- tivate a new discussion concerning the role of negation in logic proposing the concept of paratriviality. In this way, some relations between positive reasoning and infinity, the possibilities to obtain a ¯first-order positive logic as well as the philosophical connection between truth and meaning are dis- cussed from a conceptual point of view. (shrink)

Rosenkranz has recently proposed a logic for propositional, non-factive, all-things-considered justification, which is based on a logic for the notion of being in a position to know, 309–338 2018). Starting from three quite weak assumptions in addition to some of the core principles that are already accepted by Rosenkranz, I prove that, if one has positive introspective and modally robust knowledge of the axioms of minimal arithmetic, then one is in a position to know that a sentence is not (...) provable in minimal arithmetic or that the negation of that sentence is not provable in minimal arithmetic. This serves as the formal background for an example that calls into question the correctness of Rosenkranz’s logic of justification. (shrink)

In January 1975, Michel Foucault contemplated the nature and formation of what in subsequent years he would come to know as governmentality. For Foucault, plague marks the rise of the invention of positive technologies of power, where these relations center around inclusion, multiplication, and security, rather than exclusion, negation, and rejection. In a point that might at first seem ancillary to his central argument, Foucault comments on stylized works about plague, such as those, according to the lecture series’ (...) editors, exemplified by Albert Camus. In footnote fifteen of the January 15, 1975 lecture, in reference to what Foucault deemed the “literary dream of” plagues, the editors list Camus’ 1947 novel La Peste, among other works, as representative of what Foucault described as “a kind of orgiastic dream in which plague is the moment when individuals come apart and when the law is forgotten.”. This article places Camus’ novel and other works in conversation with Foucault on governmentality, subjectivation, and truth to demonstrate the ways in which individualism itself can be viewed biopolitically. In so doing, it offers an urgent intervention that speaks powerfully to and is exemplified by the current global pandemic. Plague serves both as this literary dream and as a discursive mechanism engaged simultaneously with regimes of truth and the individuals constructing them. By pairing Foucault’s historical understanding of the invention of positive technologies of power with Camus’ treatment of “the absurd” in and out of the plague context, one uncovers the interrelation of governmentality, subjectivation, and truth. (shrink)

Molnar argues that the problem of truthmakers for negative truths arises because we tend to accept four metaphysical principles that entail that all negative truths have positive truthmakers. This conclusion, however, already follows from only three of Molnar´s metaphysical principles. One purpose of this note is to set the record straight. I provide an alternative reading of two of Molnar´s principles on which they are all needed to derive the desired conclusion. Furthermore, according to Molnar, the four principles may (...) be inconsistent. By themselves, however, they are not. The other purpose of this note is to propose some plausible further principles that, when added to the four metaphysical theses, entail a contradiction. (shrink)

The Role of Negation in the Description of the World According to Aristote’s Metaphysics. The notions of ‘being’ and ‘non-being’ have entered philosophical language, forming the basis of ontology and meontology, as the counterparts of the Greek expressions to on and to me on (nominalised forms, affirmative and negative, of the participle of the verb einai). Originally, however, these expressions did not have any objectifying meaning, but played the role of meta-language names, representing the copula einai in all its (...) forms, most generally in its affirmative and negative forms. The copula itself, which in later philosophy took on the existential meaning, had functioned only as a semantically empty connective of predicates. Over time the participle on has been used as a universal name of all predicates. The above-mentioned expressions became central in Greek philosophical terminology thanks to the debates, initiated by Parmenides, on the role of negation in the description of the world. Parmenides himself proposed a complete excision of negative sentences as describing by elimination, and created a positive-monistic system which abandoned multiplicity, divisibility, and variability. Later philosophers defended negation, fighting back against the paradoxes formulated by the Eleatics and later by the Sophists. Plato observed that without negation it is impossible to describe the multiplicity of things. He also distinguished a relative negation which does not eliminate anything but makes it possible to confront some things with others. According to the atomists, the divisibility of physical things forces us to accept that they consist of a positive element in the form of an impenetrable body, and of another element lacking any characteristics, i.e. the void. Finally, Aristotle, when analysing the process of change, justified the consistency of the statement that something comes out of “not being” and “being”, under the assumption that the former is understood as being actual, and the latter as being potential. In all these conceptions there is nothing non-existent, there are only proposals of how to identify the aspects of reality whose explanation justifies the use of negation. The affirmative and negative forms of the above expressions have also provoked reflection on the problem of truth and falsity. It has been observed that they are used in everyday language not only to state an agreement or disagreement with the actual facts of the matter, but also to affirm or deny something. (shrink)

Cheating is widely considered a condemnable behavior in society and a big problem in the educational system. In this study, we employ the information-processing-based Bayesian Mindsponge Framework to explore deeper the subjective cost-benefit evaluation involving the perceived value of cheating. Conducting Bayesian analysis on 493 university students from Germany, Vietnam, China, Taiwan, and Japan, we found that students who have more positive attitudes toward cheating are more likely to cheat. However, a higher capability of cognitive reflection acts as a (...) moderator that negates the above effect. Re-evaluation of prior thoughts allows for more accurate assessments of the associated risks and possible costs, which help reduce the probability of carrying out cheating behavior. As rapid technological advancement may introduce new and efficient cheating methods, a better understanding of the psychology of cheating in students can help schools prepare better countermeasures. (shrink)

When I act on something, three kinds of idea (or representation) come into play. First, I have a non-visual representation of my goals. Second, I have a visual description of the kind of thing that I must act upon in order to satisfy my goals. Finally, I have an egocentric position locator that enables my body to interact with the object. It is argued here that these ideas are distinct. It is also argued that the egocentric position locator functions in (...) the same way as a demonstrative, and that the involvement of such demonstratives in visual content negates naive realism. (This is a nearly final draft of a paper that is to be published in Raftopoulos and Machamer (eds), Perception, Realism, and the Problem of Reference (forthcoming from Cambridge UP. It is a shorter revised version of "Visual Reference", posted earlier.). (shrink)

This article is a preliminary presentation of conjunctive paraconsistency, the claim that there might be non-explosive true contradictions, but contradictory propositions cannot be considered separately true. In case of true ‘p and not p’, the conjuncts must be held untrue, Simplification fails. The conjunctive approach is dual to non-adjunctive conceptions of inconsistency, informed by the idea that there might be cases in which a proposition is true and its negation is true too, but the conjunction is untrue, Adjunction fails. (...) While non-adjunctivism is a well-known option, the other view is not so much studied nowadays, but it was not unknown in the tradition, and there are some positive suggestions, in recent literature, that the position is plausible and deserves to be developed. The article compares conjunctivism, non-adjunctivism and dialetheism, then focuses on some possible justifications, costs and benefits of the conjunctive view. (shrink)

To believe that logic has no history might at first seem peculiar today. But since the early 20th century, this position has been repeatedly conflated with logical monism of Kantian provenance. This logical monism asserts that only one logic is authoritative, thereby rendering all other research in the field marginal and negating the possibility of acknowledging a history of logic. In this paper, I will show how this and many related issues have developed, and that they are founded on only (...) one prominent statement by Kant. I will argue, however, that this statement takes on a very different meaning in a broader context of the history and philosophy of science, and that Kant and his supporters never advocated the logical monism that they are still said to hold today. (shrink)

Gregory La Cava’s 1936 screwball comedy film My Man Godfrey is structured by consubstantiality, which will be defined here as the reification of a second, oppositional element in response to the negation of a first. Because the second element is conditioned by the very thing it negated, a third element is required to reverse the (subjective) point of view as corollary to the first, objective reversal. The film takes place in the depths of the Great Depression; its story centers (...) on the discovery and restoration of ‘the forgotten man’, represented by Godfrey Parke, who has renounced his wealth and social position to live in a shanty-town under the pseudonym of Smith following a failed love-affair. After being ‘claimed’ during a scavenger hunt, he becomes the butler of the family of a New York industrialist, Alexander Bullock. One daughter, Irene, falls in love with him; the other, Cornelia, attempts to frame him by planting ‘stolen’ pearls. Godfrey eludes her trap and uses collateral from the pearls to invest in the futures market, where he rescues his host’s company’s shares to save the family from ruin. With surplus funds he reclaims the shanty-town site and builds a modernist night-club, employing his former ‘forgotten men’ companions. Consubstantiality is played out visually and dramatically. Its component parts are encoded into a visual paradigm to demonstrate the toroidal logic that connects consubstantiality to Jacques Lacan’s theories of discourse and sexuation. Here, topology qualifies Freud’s contention that ‘Psyche is extended; knows nothing of it’ by showing how the non-orientation of the 2-d manifold becomes the self-intersecting traps of 3-d immersion – traps that are already well-known as dramatic devices. (shrink)

This paper argues that public statues of persons typically express a positive evaluative attitude towards the subject. It also argues that states have duties to repudiate their own historical wrongdoing, and to condemn other people’s serious wrongdoing. Both duties are incompatible with retaining public statues of people who perpetrated serious rights violations. Hence, a person’s being a serious rights violator is a sufficient condition for a state’s having a duty to remove a public statue of that person. I argue (...) that this applies no less in the case of the ‘morally ambiguous’ wrongdoer, who both accomplishes significant goods and perpetrates serious rights violations. The duty to remove a statue is a defeasible duty: like most duties, it can be defeated by lesser-evil considerations. If removing a statue would, for example, spark a violent riot that would risk unjust harm to lots of people, the duty to remove could be outweighed by the duty not to foreseeably cause unjust harm. This would provide a lesser-evil justification for keeping the statue. But it matters that the duty to remove is outweighed, rather than negated, by these consequences. Unlike when a duty is negated, one still owes something in cases of outweighing. And it especially matters that it is outweighed by the predicted consequences of wrongful behaviour by others. (shrink)

Although philosophers of art and aesthetics regularly appeal to a notion of ‘pictorial content’, there is little agreement over its nature. The present paper argues that pictures have propositional contents. This conclusion is reached by considering a style of argument having to do with the phenomenon of negation intended to show that pictures must have some kind of non-propositional content. I first offer reasons for thinking that arguments of that type fail. Second, I show that when properly understood, such (...) arguments can in fact be turned on their heads and shown to support the propositionalist position. (shrink)

Philosophical dialetheism, whose main exponent is Graham Priest, claims that some contradictions hold, are true, and it is rational to accept and assert them. Such a position is naturally portrayed as a challenge to the Law of Non-Contradiction (LNC). But all the classic formulations of the LNC are, in a sense, not questioned by a typical dialetheist, since she is (cheerfully) required to accept them by her own theory. The goal of this paper is to develop a formulation of the (...) Law which appears to be unquestionable, in the sense that the Priestian dialetheist is committed to accept it without also accepting something inconsistent with it, on pain of trivialism—that is to say, on pain of lapsing into the position according to which everything is the case. This will be achieved via (a) a discussion of Priest's dialetheic treatment of the notions of rejection and denial; and (b) the characterization of a negation via the primitive intuition of content exclusion. Such a result will not constitute a cheap victory for the friends of consistency. We may just learn that different things have been historically conflated under the label of 'Law of Non-Contradiction'; that dialetheists rightly attack some formulations of the Law, and orthodox logicians and philosophers have been mistaken in assimilating them to the indisputable one. (shrink)

In this paper, we use antecedent-final conditionals to formulate two problems for parsing-based theories of presupposition projection and triviality of the kind given in Schlenker 2009. We show that, when it comes to antecedent-final conditionals, parsing-based theories predict filtering of presuppositions where there is in fact projection, and triviality judgments for sentences which are in fact felicitous. More concretely, these theories predict that presuppositions triggered in the antecedent of antecedent-final conditionals will be filtered (i.e. will not project) if the (...) class='Hi'>negation of the consequent entails the presupposition. But this is wrong: John isn’t in Paris, if he regrets being in France intuitively presupposes that John is in France, contrary to this prediction. Likewise, parsing-based approaches to triviality predict that material entailed by the negation of the consequent will be redundant in the antecedent of the conditional; but John isn’t in Paris, if he’s in France and Mary is with him is intuitively felicitous, contrary to these predictions. Importantly, given that the trigger appears in sentence-final position, both incremental (left-to-right) and symmetric versions of such theories make the same predictions. These data constitute a challenge to the idea that presupposition projection and triviality should be computed on the basis of parsing. This issue is important because it relates to the more general question as to whether presupposition and triviality calculation should be thought of as a pragmatic post-compositional phenomenon or as part of compositional semantics (as in the more traditional dynamic approaches). We discuss a solution which allows us to maintain the parsing-based pragmatic approach; it is based on an analysis of conditionals which incorporates a presupposition that their antecedent is compatible with the context, together with a modification to Schlenker’s (2009) algorithm for calculating local contexts so that it takes into account presupposed material. As we will discuss, this solution works within a framework broadly similar to that of Schlenker’s (2009), but it doesn’t extend in an obvious way to other parsing-based accounts (e.g. parsing-based trivalent approaches). We conclude that a parsing-based theory can be maintained, but only if we adopt a substantial change of perspective on the framework. (shrink)

Expressivist views of an area of discourse encourage us to ask not about the nature of the relevant kinds of values but rather about the nature of the relevant kind of evaluations. Their answer to the latter question typically claims some interesting disanalogy between those kinds of evaluations and descriptions of the world. It does so in hope of providing traction against naturalism-inspired ontological and epistemological worries threatening more ‘realist’ positions. This is a familiar position regarding ethical discourse; however, some (...) authors have recently defended a similar view regarding epistemic discourse. Others have argued that epistemic expressivism faces special problems, not necessarily attaching to expressivism about other areas. Their arguments differ in interesting ways, but the common strategy is an attempt to show that the very sort of meta-epistemological theorizing needed to articulate and establish epistemic expressivism involves the epistemic expressivist in some sort of internal incoherence or self-defeat. That is, they think that articulating or defending the position requires implicit commitment to the negation of one of the positions core tenets. This paper responds to those arguments on behalf of epistemic expressivism, suggesting that they each misunderstand what is crucial to epistemic expressivism. By responding to these arguments, we hope to achieve more clarity about what epistemic expressivism is and why one might want to endorse it in a meta-epistemology. (shrink)

Apophaticism -- the view that God is both indescribable and inconceivable -- is one of the great medieval traditions of philosophical thought about God, but it is largely overlooked by analytic philosophers of religion. This paper attempts to rehabilitate apophaticism as a serious philosophical option. We provide a clear formulation of the position, examine what could appropriately be said and thought about God if apophaticism is true, and consider ways to address the charge that apophaticism is self-defeating. In so doing (...) we draw on recent work in the philosophy of language, touching on issues such as the nature of negation, category mistakes, fictionalism, and reductionism. (shrink)

PURPOSE—A substantial fraction of the observations made by clinicians and entered into patient records are expressed by means of negation or by using terms which contain negative qualifiers (as in “absence of pulse” or “surgical procedure not performed”). This seems at first sight to present problems for ontologies, terminologies and data repositories that adhere to a realist view and thus reject any reference to putative non-existing entities. Basic Formal Ontology (BFO) and Referent Tracking (RT) are examples of such paradigms. (...) The purpose of the research here described was to test a proposal to capture negative findings in electronic health record systems based on BFO and RT. METHODS—We analysed a series of negative findings encountered in 748 sentences taken from 41 patient charts. We classified the phenomena described in terms of the various top-level categories and relations defined in BFO, taking into account the role of negation in the corresponding descriptions. We also studied terms from SNOMED-CT containing one or other form of negation. We then explored ways to represent the described phenomena by means of the types of representational units available to realist ontologies such as BFO. RESULTS—We introduced a new family of ‘lacks’ relations into the OBO Relation Ontology. The relation lacks_part, for example, defined in terms of the positive relation part_of, holds between a particular p and a universal U when p has no instance of U as part. Since p and U both exist, assertions involving ‘lacks_part’ and its cognates meet the requirements of positivity. CONCLUSION—By expanding the OBO Relation Ontology, we were able to accommodate nearly all occurrences of negative findings in the sample studied. (shrink)

According to Schopenhauer’s compensation argument for pessimism, the non-existence of the world is preferable to its existence because no goods can ever compensate for the mere existence of evil. Standard interpretations take this argument to be based on Schopenhauer’s thesis that all goods are merely the negation of evils, from which they assume it follows that the apparent goods in life are in fact empty and without value. This article develops a non-standard variant of the standard interpretation, which accepts (...) the relevance of the negativity thesis but rejects that the argument assumes that life’s goods are all empty and valueless. Instead, it argues that whatever value negative goods might possess, they do not have the kind of value to compensate for positive evils. This involves additional development of the negativity thesis and a defence of it against objections from Byron Simmons (2021). (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)

The paper argues that knowledge is not closed under logical inference. The argument proceeds from the openness of evidential support and the dependence of empirical knowledge on evidence, to the conclusion that knowledge is open. Without attempting to provide a full-fledged theory of evidence, we show that on the modest assumption that evidence cannot support both a proposition and its negation, or, alternatively, that information that reduces the probability of a proposition cannot constitute evidence for its truth, the relation (...) of evidential support is not closed under known entailment. Therefore the evidence-for relation is deductively open regardless of whether evidence is probabilistic or not. Given even a weak dependence of empirical knowledge on evidence, we argue that empirical knowledge is also open. On this basis, we also respond to the strongest argument in support of knowledge closure. Finally, we present a number of significant benefits of our position, namely, offering a unified explanation for a range of epistemological puzzles. (shrink)

In the recent literature on the issue, a number of commentators have argued that Kant’s aesthetic theory commits him to the position that nothing is ugly. For instance, in ‘Why Kant finds nothing ugly’, Shier argues that ‘within Kant’s aesthetics, there cannot be any negative judgments of taste’ (Shier (1998): 413). And in ‘Kant’s problems with ugliness’, Thomson claims that ‘Kant’s aesthetic theory precludes […] ugliness’ (Thomson (1992): 107). In other words, as it is presented in some of the literature, (...) Kant’s account of aesthetic judgment seems to preclude him from accounting for the possibility of ugliness. A number of reasons have been put forward to explain why there can be no ugliness for Kant. Some have to do with his account of experience in general. Others have to do with the very nature of the free play between imagination and understanding. Of course, the real source of the problem is that the Critique of Judgment does not actually discuss ugliness, so commentators are left with the task of filling in the gaps. This paper aims to argue that Kant’s account of aesthetic judgment commits him not only to the existence of the ugly, but to the distinction between two kinds of ugliness. To support this claim, I will start from the premise that if there is to be room for ugliness, it should be defined as the contrary of beauty. However, I will suggest that Kant’s account of beauty can be negated in two ways, one that gives rise to impure ugliness and the other to pure ugliness. I will examine them in turn, first by showing that impure ugliness is the contrary of beauty insofar as it contravenes our interests and produces a desire to dispose of it, whereas beauty is necessarily disinterested for Kant. In the second section, I will use Kant’s definition of judgments of pure beauty to carve a space for an account of pure ugliness. For, it should present all the characteristics that make it “pure” whilst replacing the characteristics that make it beautiful with the ones that make it ugly. On this basis, I will define pure ugliness as the disinterested displeasure caused by the experience of what I will call “foul play” between the imagination and the understanding. (shrink)

In this paper I argue that, in Leibniz’s mature metaphysics, primary matter is not a positive constituent which must be added to the form in order to have a substance. Primary matter is merely a way to express the negation of some further perfection. It does not have a positive ontological status and merely indicates the limitation or imperfection of a substance. To be sure, Leibniz is less than explicit on this point, and in many texts he (...) writes as if primary matter were a positive constituent of a substance. It seems to me, however, that the view most in keeping with the thrust of his mature philosophical system is that captured by a striking remark of 1695: “Materia rerum est nihilum: id est limitatio [The matter of things is nothing: that is, limitation].” This becomes especially apparent in texts showing that Leibniz’s conception of primary matter corresponds to his conception of creaturely limitation. I start by discussing the notion of primary matter in the scholastic tradition. I then show that although Leibniz places the scholastic terminology of primary matter at a crucial juncture of his metaphysics, he thinks of primary matter in a way which significantly deviates from earlier scholastic views. I conclude that despite his adoption of distinctive terminology of Aristotelian scholasticism, instead of holding a broadly Aristotelian concept of primary matter as the ultimate subject of inherence, Leibniz thinks of primary matter according to a Neoplatonic blue-print in which matter is non-being, privation, mere absence of perfection. (shrink)

In her Nobel speech in 2019, Olga Tokarczuk presented the category of tenderness as a new way of narrating the contemporary world. This article is a proposal for the analysis and interpretation of tenderness in ethical and aesthetic terms. (1) From an ethical perspective, tenderness is interpreted as an extension and complement of feminist relational ethics, i.e., the ethics of care. In the proposed approach, tenderness is a broader and more universal quality than care in the feminist understanding. This article (...) opens with a brief discussion of feminist interventions in ethics, with particular emphasis on the ethics of care. Next, the differences between care and tenderness are enumerated and described, in order to show how tenderness can serve as an extension and complement of the feminist ethic of care. These considerations are guided by the question of why tenderness is a better—more appropriate and more responsive to contemporary challenges—moral guidepost than care. (2) From the aesthetic perspective, tenderness is the negation of a contemplative, distanced, impersonal, and rational view of reality. As an aesthetic imperative, tenderness implies engaged experience of the beauty of reality in all of its manifestations. Therefore, in the last part of the article, existential tender attunement is described in aesthetic terms, as a position serving to sensitize others to the beauty and complexity of the post-anthropocentric world. (shrink)

This paper examines distinctive discourse properties of preposed negative 'yes/no' questions (NPQs), such as 'Isn’t Jane coming too?'. Unlike with other 'yes/no' questions, using an NPQ '∼p?' invariably conveys a bias toward a particular answer, where the polarity of the bias is opposite of the polarity of the question: using the negative question '∼p?' invariably expresses that the speaker previously expected the positive answer p to be correct. A prominent approach—what I call the context-management approach, developed most extensively by (...) Romero and Han (2004)—attempts to capture speaker expectation biases by treating NPQs fundamentally as epistemic questions about the proper discourse status of a proposition. I raise challenges for existing context-managing accounts to provide more adequate formalizations of the posited context-managing content, its implementation in the compositional semantics and discourse dynamics, and its role in generating the observed biases. New data regarding discourse differences between NPQs and associated epistemic modal questions are introduced. I argue that we can capture the roles of NPQs in expressing speakers’ states of mind and managing the discourse common ground without positing special context-managing operators or treating NPQs as questions directly about the context. I suggest that we treat the operator introduced with preposed negation as having an ordinary semantics of epistemic necessity, though lexically associated with a general kind of endorsing use observed with modal expressions. The expressive and context-managing roles of NPQs are explained in terms of a general kind of discourse-oriented use of context-sensitive language. The distinctive expectation biases and discourse properties observed with NPQs are derived from the proposed semantics and a general principle of Discourse Relevance. (shrink)

Much of the climate justice discussion revolves around how the remaining carbon budget should be globally allocated. Some authors defend the unjust enrichment interpretation of the beneficiary pays principle (BPP). According to this principle, those states unjustly enriched from historical emissions should pay. I argue that if the BPP is to be constructed along the lines of the unjust enrichment doctrine, countervailing reasons that might be able to block the existence of a duty of restitution should be assessed. One might (...) think that the duty to provide restitution no longer has moral weight if many benefits were already consumed, if the particular benefits obtained from historical emissions cannot be transferred from one country to another, or if present members of developed countries framed their life plans based upon the expectation of continued possession of those benefits. I show that none of these reasons negate the duty to provide restitution. (shrink)

This paper concerns an important and exciting book by Marek Dobrzeniecki Ukrytość i Wcielenie. Teistyczna odpowiedź na argument Johna L. Schellenberga za nieistnieniem Boga [Hiddenness and the Incarnation: A Theistic Response to John L. Schellenberg’s Argument for Divine Nonexistence]. After a brief discussion of the content of the book’s chapters, critical remarks are presented. They concern the adopted method and approach to Schellenberg’s philosophy in general and the argument from hiddenness in particular. The conceptual framework serving as a typologization of (...) the propositional dimension of the phenomenon of theistic belief/faith is dubious and requires in-depth research. It is worth considering the possibility of asymmetry of the attitudes of belief/faith and unbelief, which requires consideration in the reasoning whose legitimacy would assume the transfer of features from one to the other and the negation functor. Regarding the voluntarism of belief in God, the paper suggests that extreme, purely intellectual, and purely volitional positions should be considered, as well as moderate and mixed ones. It is argued extensively that Dobrzeniecki’s criticism against the arguments of Rea and Mourad is not conclusive. Just the possibility of voluntariness of disbelief undermines the validity of Schellenberg’s argument and should therefore be ruled out as much as possible. The paper suggests supplementing Dobrzeniecki’s approach with a ‘trans-paradigmatic’ approach consisting of external criticism, which, in the light of Schellenberg’s arguments being probably incompatible with the described phenomenon of religious belief in God, leads to a modification of the theoretical apparatus of Schellenberg’s paradigm. Such a modification deprives the latter’s argument of justification. --- Niniejszy artykuł dotyczy ważnej i interesującej książki Marka Dobrzenieckiego Ukrytość i Wcielenie. Teistyczna odpowiedź na argument Johna L. Schellenberga za nieistnieniem Boga. Po krótkim omówieniu zawartości poszczególnych rozdziałów książki prezentuję swoje uwagi krytyczne. Dotyczą one przyjętej metody i podejścia do filozofii Schellenberga w ogólności, a argumentu z ukrytości w szczególności. Wątpliwa i wymagająca pogłębionego badania jest siatka pojęciowa pełniąca funkcję typologizacji propozycjonalnego wymiaru fenomenu wiary teistycznej. Warta rozważania jest możliwość niesymetryczności postaw wiary i niewiary, co wymaga uwzględnienia w rozumowaniach, których zasadność zakładałaby przenoszenie cech z jednej na drugą oraz funktora negacji. W sprawie woluntaryzmu wiary w Boga sugeruję, że należy rozpatrywać nie tylko stanowiska skrajne, czysto intelektualistyczne i czysto wolicjonalne, ale także u miarkowane i mieszane. Argumentuję szeroko, że krytyka Dobrzenieckiego skierowana przeciwko argumentom Rea i Mourada nie jest konkluzywna. Argumentuję, że samo możliwość woluntarności niewiary podważa zasadność argumentu Schellenberga i dlatego powinna ona być wykluczona w sposób maksymalnie możliwie uzasadniony. Sugeruję uzupełnienie podejścia Dobrzenieckiego o podejście ‘transparadygmatyczne’ polegające na rodzaju krytyki zewnętrznej, która w świetle nieprzystawania argumentacji Schellenberga do opisywanego fenomenu prowadzi do modyfikacji aparatu teoretycznego paradygmatu Schellenberga. Taka modyfikacja odbiera argumentowi tego ostatniego moc uzasadniającą. (shrink)

I argue that the prime matter that Leibniz posits in every created monad is understood by him to be a mere defect or negation, and not something real and positive. Further, I argue that Leibniz’s talk of prime matter in every created monad is inspired by the thirteenth-century doctrine of spiritual matter, but that such talk is simply one way in which Leibniz frames a point that he frequently makes elsewhere—namely, that each creaturely essence incorporates a limitation that (...) is the ultimate source of an original imperfection that affects the creature from the first moment of its existence. (shrink)

Although Merleau-Ponty’s early phenomenology of perception and his essays on art, politics, and language already showed an affinity between the aesthetic phenomena of expression and style and the political and cultural dynamics of society at large, this paper specifically focuses on his late theorizing of the notion of flesh and its relevance to his late understanding of politics and democracy. The emergence of flesh as a concept was contemporary to Merleau-Ponty’s break with Marxism as a philosophical model and with revolutionary (...) dialectics as a political project. It is by showing that such a break was consistently grounded on his theorizing of the being flesh of both the body and of society that this paper shows Merleau-Ponty’s unique contribution to democratic theory and to contemporary political philosophy. In the course of this analysis, it will become clear that in philosophically breaking with the position of a “no that is a yes”—i.e. the model of the revolution, which implies a total negation of the given that becomes a total affirmation of the new order (dictatorship) once in power—he would politically embrace the Weberian “heroic liberalism”—or his “non-communist left”—of parliamentary democracy. (shrink)

The dialectical aspect in the work of Georges Bataille is often neglected. At the suggestion of Foucault and Derrida, Bataille is most often even taken to be a non-dialectical thinker. But Bataille worked intensely with Hegel's ideas, his thought was expressed in Hegelian terms, and both his epistemology and his ontology can be considered a determinate negation of Hegel's position in the Phenomenology. This is shown, first, by analysing Bataille's notions of `inner experience', and, second, by showing how Bataille (...) extends dialectics to the natural, non-human realm, and even conceives the link between the human and non-human as itself dialectical. However, once we see the dialectical nature of his theoretical stance, we are struck by a great vagueness in his practical conception of where society ought to be going. (shrink)