We prove that if $A$, $B$ are noncomputable c.e. sets, $A<_{sQ_{1}}B$ and [($B$ is not simple and $A\oplus B\leq _{sQ_{1}}B$) or $B\equiv _{sQ_{1}}B\times \omega $], then there exist infinitely many pairwise $sQ_{1}$-incomparable c.e. sets $\{C_{i}\}_{i\in \omega }$ such that $A<_{sQ_{1}}C_{i}<_{sQ_{1}}B$, for all $i\in \omega $. We also show that there exist infinite collections of $sQ_{1}$-degrees $\{\boldsymbol {a_{i}}\}_{i\in \omega }$ and $\{\boldsymbol {b_{i}}\}_{i\in \omega }$ such that for every $i, j,$ (1) $\boldsymbol {a_{i}}<_{sQ_{1}}\boldsymbol {a_{i+1}}$, $\boldsymbol {b_{j+1}}<_{sQ_{1}}\boldsymbol {b_{j}}$ and $\boldsymbol {a_{i}}<_{sQ_{1}}\boldsymbol {b_{j}}$; (...) (2) every c.e set in $\boldsymbol {a_{i}}$ is a maximal set; and (3) every c.e. set in $\boldsymbol {b_{j}}$ is a non-maximal hyperhypersimple set. We prove that a noncomputable c.e. $sQ$-degree contains either only one or infinitely many c.e. $sQ_{1}$-degrees. The $sQ_{1}$-degrees of c.e. cylinders are dense upper semilattice. (shrink)

The Chinese word “bukong” 不空 appearing in the Āgama texts is a rendering of Pāli words such as aritta (not discarded), asuñña (not empty), amogha (not vain). Whereas the Madhyamika texts never affirm the term non‐empty as a counterpart of the concept emtpy, the Yogācāra texts overlay it with a slightly negative connotation as a false imagination. However, Tathāgatagarbha thought affirms that term positively, and Chinese strands of Buddhism further adopt it as an absolute affirmation by identifying emptiness with (...) non‐emptiness, thereby turning the concept of mutual dependence or counterpart into that of mutual identification. In the Huayan jing, the concepts such as aśūnya, aśūnyatā, amogha, amoghatā are equally rendered as “bukong”, and this term thus comes to have a wide range of meanings including non‐empty, without any errors, beneficial, not deluded, or fully endowed with wisdom and compassion, and so on, which are attributes of tathāgatagarbha. Therefore, we see that the Huayan jing has such diverse meaning in the word “bukong” in according to the context. In the case of the typical Chinese Buddhist text Dasheng qixin lun, “bukong” indicates the state in which the pure dharmas are fulfilled. It seems that this text regards the essence as empty while considering the function to be non‐empty. When we contemplate on the meanings of “bukong” appearing in the Huayan jing, we may say that this scripture played a role of bridging Indian Buddhism and Chinese Buddhism. In particular, the comparisons of the meanings of “bukong” in the scriptures and treatises will reveal the affirmative spirit of the Chinese Buddhists, which is implicit in Indian Mahāhyāna Buddhism. 『아함경』에서 ‘不空’이라 한역된 원어는 Pā. aritta(버려지지 않은), asuñña(비어 있지 않은), amogha(헛되지 않은) 등이다. 중관에서는 공의 상대(相待)인 불공을 절대 부정하는 반면, 유식에서는 허망 분별로 인한 부정적인 이미지가 살짝 보이다가 여래장 사상이 도입되면서 긍정적인 이미지로 전환하는데, 그것이 중국불교에서는 절대 긍정으로 바뀌어서 ‘空即不空’인 상의상즉(相依相卽)의 의미로 공과 분리가 불가능해진다. 『화엄경』에서는 ‘不空’이란 역어가 Skt. aśūnya, aśūnyatā, amogha, amoghatā로, 그 의미가 어리석지 않은 지혜와 자비가 충만한 여래장의 뜻으로 무한히 펼쳐져서 불공이란 꽃이 활짝 핀다. 이렇게 불공은 문맥에 따라 그 의미가 다르나, 중국불교의 전형적인 논인 『기신론』에서는 정법(淨法)이 만족스러우면 ‘불공’이라 하면서, 체(體)가 공이고 용(用)이 불공이라고 말하는 것으로 보인다. ‘不空’이라는 역어만을 놓고 대조해 본다면, 초기불교 경전인 『아함경』에서의 불공의 의미가 『화엄경』에서 되살아나는 듯하여 『화엄경』이 인도불교와 중국불교의 가교역할을 한다고 감히 추정할 수 있는데, 특히 경론에서 불공의 의미만 가지고 비교한다면, 『화엄경』에는 인도 대승불교 속에 자연스레 녹아 있는 긍정적인 중국 불자들의 마음이 엿보인다. (shrink)

This paper is concerned with techniques for identifying simple and quantified lattice points in 2SAT polytopes. 2SAT polytopes generalize the polyhedra corresponding to Boolean 2SAT formulas, Vertex-Packing and Network flow problems; they find wide application in the domains of Program verification and State-Space search . Our techniques are based on the symbolic elimination strategy called the Fourier-Motzkin elimination procedure and thus have the advantages of being extremely simple and incremental. We also provide a characterization of a 2SAT polytope in terms (...) of its extreme points and derive some interesting hardness results for associated optimization problems. Finally, we provide a brief discussion on the maximum size of a subdeterminant of the linear system representing a 2SAT polytope; this parameter plays a vital role in deriving analytical bounds on the size of the search space for checking whether the polyhedron includes a lattice point. (shrink)

Jizang (549–623) is regarded as a prominent figure in Sanlun Buddhism (三論宗) and a revitalizer of Nāgārjuna’s Mādhyamaka tradition in China. In this essay, I argue that Jizang’s concept of non-empty Buddha-nature is compatible with the idea of universal emptiness. My argument unfolds in three steps. First, I argue that, for Jizang, Buddha-nature is the Middle Way (zhongdao 中道), which signifies a spiritual state that avoids the extremes of both emptiness and non-emptiness. Next, I explore how and why Jizang believes (...) that Buddha-nature is eternal. I examine Jizang’s notions of intrinsic eternality (dingxing chang 定性常) and conditional eternality (yinyuan chang 因緣常), aiming to demonstrate that his understanding of Buddha-nature as eternal can be framed within the concept of conditional eternality, where Buddha-nature is seen as the objective manifestation of the dharma body. Since this type of eternality aligns with the principle of universal emptiness, Jizang’s assertion that Buddha-nature is eternal is thus compatible with the notion of universal emptiness. Furthermore, I illustrate that Jizang’s theory of eternal Buddha-nature carries practical implications, suggesting that this assertion serves as encouragement rather than being merely an ontological claim. (shrink)

Philosophers and theorists have long been puzzled by humans' ability to talk about things that do not exist, or to talk about things that they think exist but, in fact, do not. _Empty Names, Fiction, and the Puzzles of Non-Existence_ is a collection of 13 new works concerning the semantic and metaphysical issues arising from empty names, non-existence, and the nature of fiction. The contributors include some of the most important researchers working in these fields. Some of the papers develop (...) and defend new positions on these matters, while others offer important new perspectives and criticisms of the existing approaches. The volume contains a comprehensive introductory essay by the editors, which provides a survey of the philosophical issues concerning empty names, the various responses to these issues, and the literature on the subject to date. (shrink)

The contents of linguistic and mental representations may seem to be individuated by what they are about. But a problem arises with regard to representation of the non-existent - words and thoughts that are about things that don't exist. Fourteen new essays get to grips with this much-debated problem.

Buddhist traditions understand emptiness in various ways, and two streams of interpretation, “self-emptiness” and “other-emptiness” , have emerged in Tibet that help bring into focus the extent to which interpretations diverge.1 In contrast to self-emptiness, other-emptiness does not refer to a phenomenon’s lack of its own essence; it refers to the ultimate reality’s lack of all that it is not. Rather than claiming the universality of self-emptiness , proponents of other-emptiness assert another way to understand emptiness with regard to the (...) ultimate . These two interpretations of emptiness—as ground and as groundless .. (shrink)

This essay argues two main points by analyzing Sengzhao’s contentions regarding several basic Buddhist concepts such as emptiness, being, and nonbeing. First, Sengzhao synthesizes Daoist methods of argumentation into his description of the middle path and other Buddhist concepts. Second, he revives Daoist concepts, giving them Buddhist meaning and expressing them in Buddhist terms. In the process, he consciously differentiates Madhyamika Buddhism from earlier Buddhism as understood from a Daoist perspective, such as the teachings of the School of Original Non-Being (...) and the School of No-Mind. However, because his understanding of the middle path is not sufficiently deep, he wavers between Buddhist and Daoist understandings of terms such as prajñā and nirvāṇa, rest and movement, and name and reality. Despite these inconsistencies, his discourse, as the first attempt to differentiate Madhyamika from Daoism, is still a milestone in the development of Chinese Buddhism and has exerted a far-reaching influence on later generations. (shrink)

This article introduces a non-Anglophone concept of gong qi as a metaphor for ‘corporation’. It contributes an endogenous perspective from a Sino-Japanese organizational context that enriches mainstream business ethics literature, otherwise heavily reliant on Western traditions. We translate the multi-layered meanings of gong qi based on analysis of its ideograms, its references into classical philosophies, and contemporary application in this Japanese multinational corporation in China. Gong qi contributes a perspective that sees a corporation as an inclusive and virtuous social entity, (...) and also addresses the elusive, implicit, and forever evolving nature of organizational life that is rarely noticed. We propose gong qi can be applied in other organizations and wider cultural contexts to show a new way of seeing and understanding business ethics and organization. Rather than considering virtue as a list of definable individual qualities, we suggest that the metaphor of gong qi reveals how virtue can be experienced as indeterminate, yet immanently present, like the substance of emptiness. This, then allows us to see the virtue of immanence, the beauty of implicitness, and hence, the efficacy of gong qi. (shrink)

In this paper I am concerned with an analysis of negative existential sentences that contain proper names only by using negative or neutral free logic. I will compare different versions of neutral free logic with the standard system of negative free logic (Burge, Sainsbury) and aim to defend my version of neutral free logic that I have labeled non-standard neutral free logic.

Artificial intelligence (AI)-based virtual influencers are now frequently used by brands in various categories to engage customers. However, little is known about who the followers of these AI-based virtual influencers are and more importantly, what drives the followers to use AI-based virtual influencers. The results from a survey support the notion that compensatory mechanisms and the need to belong play important roles in affecting usage intentions of AI-based virtual influencers. Specifically, the study finds that usage intentions are mediated and moderated (...) by compensatory mechanisms that arise from the perception of AI-based virtual influencers’ functional benefits and existential threats to human identity. Furthermore, the need for belonging moderates the effects of the following status (following versus non-following) on perceived personalization benefits of AI-based virtual influencers and behavioral intentions to use AI-based virtual influencers. This study provides important implications for academia delving into the social, cultural, and philosophical implications of AI-based virtual influencers for human societies as well as for brands that plan to use AI-based virtual influencers and gain a better understanding of their customers in AI-driven digital marketing. (shrink)

_T__S_ is a logic that has no valid inferences. But, could there be a logic without valid metainferences? We will introduce _T__S_ _ω_, a logic without metainferential validities. Notwithstanding, _T__S_ _ω_ is not as empty—i.e., uninformative—as it gets, because it has many antivalidities. We will later introduce the two-standard logic [_T__S_ _ω_, _S__T_ _ω_ ], a logic without validities and antivalidities. Nevertheless, [_T__S_ _ω_, _S__T_ _ω_ ] is still informative, because it has many contingencies. The three-standard logic [ \(\mathbf {TS}_{\omega (...) }, \mathbf {ST}_{\omega }, [{\overline {\emptyset }}{\emptyset }, {\emptyset } {\overline {\emptyset }}]\) ] that we will further introduce, has no validities, no antivalidities and also no contingencies whatsoever. We will also present two more validity-empty logics. The first one has no supersatisfiabilities, unsatisfabilities and antivalidities ∗. The second one has no invalidities nor non-valid-nor-invalid (meta)inferences. All these considerations justify thinking of logics as, at least, three-standard entities, corresponding, respectively, to what someone who takes that logic as correct, accepts, rejects and suspends judgement about, just because those things are, respectively, validities, antivalidities and contingencies of that logic. Finally, we will present some consequences of this setting for the monism/pluralism/nihilism debate, and show how nihilism and monism, on one hand, and nihilism and pluralism, on the other hand, may reconcile—at least according to how Gillian Russell understands nihilism, and provide some general reasons for adopting a multi-standard approach to logics. (shrink)

One of the biggest challenges of the study and practice of ethics is that of the moral dilemma, e.g. how should a compassionate person deal with injustice? This paper attempts to resolve this thorny issue from the perspective of Buddhist philosophy. I firstly introduce the 14th Dalai Lama’s distinction between act and actor and suggest a way to denounce wrongful acts without harboring hatred towards the perpetrator. Secondly, I argue that the philosophical grounds of this distinction can be traced back (...) to ancient Buddhist texts on Non-Self and Emptiness, which take all things as being in a constant state of change. Thirdly, I point out that a unique feature of the ‘empty ethics’ of Buddhism is that it inspires a middle way approach which allows for congruity between justice and compassion, between the realistic and the idealistic, and between rationality and sentimentality. Based on this, I suggest that it has much to contribute to contemporary ethics. (shrink)

We propose an alternative approach to probability theory closely related to the framework of numerosity theory: non-Archimedean probability (NAP). In our approach, unlike in classical probability theory, all subsets of an infinite sample space are measurable and only the empty set gets assigned probability zero (in other words: the probability functions are regular). We use a non-Archimedean field as the range of the probability function. As a result, the property of countable additivity in Kolmogorov’s axiomatization of probability is replaced by (...) a different type of infinite additivity. (shrink)

The problem of empty terms is one of the focal issues in analytic philosophy. Russell’s theory of descriptions, a proposal attempting to solve this problem, attracted much attention and is considered a hallmark of the analytic tradition. Scholars of Indian and Buddhist philosophy, e.g., McDermott, Matilal, Shaw and Perszyk, have studied discussions of empty terms in Indian and Buddhist philosophy. But most of these studies rely heavily on the Nyāya or Navya-Nyāya sources, in which Buddhists are portrayed as opponents to (...) be defeated, and thus do not truly reflect Buddhist views on this issue. The present paper will explore how Dignāga, the founder of Buddhist logic, deals with the issue of empty subject terms. His approach is subtle and complicated. On the one hand, he proposes a method of paraphrase that resembles Russell’s theory of descriptions. On the other, by relying on his philosophy of language—the apoha theory, he tends to fall into a panfictionalism. Through the efforts of his follower Dharmakīrti, the latter approach would become more acceptable among Indian and Tibetan Buddhists. Dignāga’s Chinese commentators, who were free from the influence of Dharmakīrti, dealt with the empty term issue in three ways: (1) by adhering to Dignāga’s method of paraphrase; (2) by allowing exceptions for non-implicative negation; and (3) by indicating the propositional attitude of a given proposition. Among these, the third proved most popular. (shrink)

John Stuart Mill (1843) thought that proper names denote individuals and do not connote attributes. Contemporary Millians agree, in spirit. We hold that the semantic content of a proper name is simply its referent. We also think that the semantic content of a declarative sentence is a Russellian structured proposition whose constituents are the semantic contents of the sentence’s constituents. This proposition is what the sentence semantically expresses. Therefore, we think that sentences containing proper names semantically express singular propositions, which (...) are propositions having individuals as constituents. For instance, the sentence ‘George W. Bush is human’ semantically expresses a proposition that has Bush himself as a constituent. Call this theory Millianism. Many philosophers initially find Millianism quite appealing, but find it much less so after considering its many apparent problems. Among these problems are those raised by non-referring names, which are sometimes (tendentiously) called empty names. Plausible examples of empty names include certain names from fiction, such as ‘Sherlock Holmes’, which I shall call fictional names, and certain names from myth and false scientific theory, such as ‘Pegasus’ and ‘Vulcan’, which I shall call mythical names. I have defended Millianism from objections concerning empty names in previous work (Braun 1993). In this paper, I shall re-present those objections, along with some new ones. I shall then describe my previous Millian theory of empty names, and my previous replies to the objections, and consider whether the theory or replies need revision. I shall next consider whether fictional and mythical names are really empty. I shall argue that at least some utterances of mythical names are. (shrink)

Yet this widespread agreement as to the contingency of fact conceals an important possibility of disagreement. For there is a common assumption by which the doctrine of the exclusiveness of factual truths is trivialized. This is the assumption that the excluded alternative can be merely negative. Thus: there are elephants, there might have been no elephants; there is a world, there might have been no world. What the positive fact necessarily excludes, then, is only a privation: in short it may (...) exclude literally nothing. But to exclude nothing is not really, I suggest, to exclude. Real transactions are not concerned with non-entity, and exclusion is in some sense a real transaction. If I am just here, I prevent you from being here. If elephants exist, then, in certain portions of the world at a given moment, other large animals cannot exist, for the space they might occupy is otherwise occupied. The non-being of wild elephants in North America is a partly positive fact, for it means that every portion of the land surface of that continent is covered either by some solid object different from an elephant, or by empty air. (shrink)

This is an entry on Empty Names for the Routledge Companion to the Philosophy of Language, edited by Delia Graff Fara and Gillian Russell.

I argue that there are no plausible non-representational explanations of episodes of hallucination. To make the discussion more specific, I focus on visual hallucinations in Charles Bonnet syndrome. I claim that the character of such hallucinatory experiences cannot be explained away non-representationally, for they cannot be taken as simple failures of cognizing or as failures of contact with external reality—such failures being the only genuinely non-representational explanations of hallucinations and cognitive errors in general. I briefly introduce a recent computational model (...) of hallucination, which relies on generative models in the brain, and argue that the model is a prime example of a representational explanation referring to representational mechanisms. The notion of the representational mechanism is elucidated, and it is argued that hallucinations—and other kinds of representations—cannot be exorcised from the cognitive sciences. (shrink)

Mental files, in Recanati's framework, function as 'singular terms in the language of thought' ; they serve to think about objects in the world (and to store information about them). But they have a derived, metarepresentational function : they serve to represent how other subjects think about objects in the world. To account for the metarepresentational use of files, Recanati introduces the notion of an 'indexed file', i.e. a vicarious file that stands, in the subject's mind, for another subject's file (...) about an object. Using that notion, he argues, one can provide an analysis of attitude ascriptions and the conniving use of empty singular terms. (shrink)

Sometimes a fact can play a role in a grounding explanation, but the particular content of that fact make no difference to the explanation—any fact would do in its place. I call these facts vacuous grounds. I show that applying the distinction between-vacuous grounds allows us to give a principled solution to Kit Fine and Stephen Kramer’s paradox of ground. This paradox shows that on minimal assumptions about grounding and minimal assumptions about logic, we can show that grounding is reflexive, (...) contra the intuitive character of grounds. I argue that we should never have accepted that grounding is irreflexive in the first place; the intuitions that support the irreflexive intuition plausibly only require that grounding be non-vacuously irreflexive. Fine and Kramer’s paradox relies, essentially, on a case of vacuous grounding and is thus no problem for this account. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Buddhist-Christian Studies 22 (2002) 163-179 [Access article in PDF] Emptiness and Dogma Joseph S. O'Leary Sophia University The controversial Vatican document Dominus Iesus reasserts that non-Christian religions are objectively in a defective situation as regards salvation.Etymologically, salvation (soteria salus) means health. Here I should like to reflect on apparent symptoms of ill health in Christian theology and ask if Buddhist wisdom can help us formulate a diagnosis and bring (...) the issues into perspective in a healing way. I shall take as my guiding thread an idea familiar to readers of this journal, namely, that Christian theology has suffered from a delusive clinging to substance and identity, and that the Buddhist teachings of dependent co-arising, emptiness, and non-self may provide an antidote.Biblical and Christian traditions are rich in resources for a critique of substantialist conceptions of God and self. The God of the Bible is constantly shattering the fixated, idolatrous images his worshippers form of him, and the Johannine language of God as Spirit, light, love, locates God in a dynamic realm of communal contemplation from which it would be difficult to distill a well-defined divine substance suited to metaphysical analysis. As for self, Paul, and later Luther, present the Christian self as an existential and relational event, not a substantial self-contained soul.What of Christian theology as shaped from Greek metaphysics? Is it irredeemably substantialist, prey to naive reification and objectification? The definition of God as ipsum esse subsistens("being itself subsisting") sufficiently eludes objectification to include the Plotinian sense of God as "beyond being." The idea adopted from Aristotle that "the soul [as knower] is in a manner all things" suggests that metaphysical theology also developed a nonobjectifying conception of human being. The Christological debates of the early Christian centuries rely of necessity on substance language, yet in placing that terminology at the service of a revealed mystery beyond the grasp of language or thought, they introduce a ferment of paradox into the play of concepts and make of it a dance of traces, following the contours of a reality that cannot be brought under substantialist rubrics.Some might see the brilliant relational fireworks of Thomist trinitarian speculation as deconstructing logocentric images of divinity. However, the Trinity in itself is probably best seen as an abstract remainder concept, postulated as a dim background of the revealed phenomenon of Father, Jesus Christ, and Spirit, so that to spin stories of theories about it is futile, a form of misplaced concreteness. Robert Magliola finds [End Page 163] Nagarjunian resonances in the trinitarian logic of the Council of Florence, notably in the decree it addressed to the Copts in 1442 (Magliola, 85-89). The Copts were given an extra dose of the logic that had caused profound unease among the Greek delegates three years earlier (see Gill, 227-232; 325). How much of this later logic did the Latins read back into the patristic texts they cited? Though unbeatable in the fifteenth century, how convincing is it today? Theology has to face the hermeneutical task, and an ongoing one, of assessing the status and function of this trinitarian logic and referring it back to the biblical basis.The desubstantializing tendencies just noted can be drawn on in a contemporary "overcoming of metaphysics" in theology. But the mainstream of the tradition invested massively in substance and identity. It was by strong affirmations of substantial identity that Christianity made its way in the world. Dogma determined the identities of Father, Son, and Spirit as consubstantial hypostases of the one God, the identity of Jesus Christ as true God and true man united in one hypostasis, the real presence of Christ in the Eucharist, the unity, sufficiency, infallibility of the Church and its Scriptures, the continuity of the episcopal and papal ministries as transmitted from the apostles. The substantiality of what was proclaimed was matched by the total conviction of the faith that proclaimed it. Theologians might tinker with speculative elaborations, but the core of faith and dogma was untouchable, never subjected to doubt or questioning.It is a kind of metadogma that all... (shrink)

What mysteries lie at the heart of fiction's power to enchant and engage the mind? Empty Revelations considers a number of philosophical problems that fiction raises, including the primary issue of how we can think and talk about things that do not exist. Peter Alward covers thought-provoking terrain, exploring fictional truth, the experience of being "caught up" in a story, and the boundaries between fiction and non-fiction. At the centre of Alward's argument is a figure known as the "narrative informant" (...) who mediates the reader's encounter with fictional events through - sometimes unreliable - reporting. Developing a theory in which the author is a sculptor who constructs works of fiction out of words, Alward demonstrates that much of the confusion about fiction stems from a failure to properly distinguish between writing fiction and telling stories. Combining clarity, philosophical sophistication, ingenuity, and originality, Empty Revelations is a rewarding read for both scholars of philosophy and anyone interested in the complex ways that fiction works. (shrink)

This paper presents an original semantic theory of proper names that aims to cover both non-empty and empty proper names. According to the theory, proper names have simple assignable hyperintensions as their content. This content provides the referent (if there is one) for which the proper name stands. The paper further describes the role of the proposed content of (empty) proper names within the compositional semantics of problematic sentences. I stress the difference between the content of a sentence (i.e. its (...) hyperintension) and the proposition (i.e. a mapping from possible worlds to truth values) denoted by that sentence. (shrink)

Appealing to some analytic tools developed by contemporary analytic philosophers, I discuss Avicenna’s views regarding the problem(s) of linguistic and mental reference to non-existents, also known as the problem(s) of ‘empty intentionality’. I argue that, according to Avicenna, being in an intentional state directed towards an existing thing involves three elements: (1) an indirect relation to that thing, (2) a direct relation to a mental representation of that thing, and (3) a direct relation to the essence of that thing. Empty (...) intentionality does not involve the first element. Moreover, depending on the nature of the non-existent we are thinking about, the third element may not be involved either. Thus, the necessary element of being in an intentional state towards something is to be related to a mental representation of that thing. The nature of this representation may vary depending on the nature of the non-existent towards which our thought is directed. (shrink)

Empty names vary in their referential features. Some of them, as Kripke argues, are necessarily empty -- those that are used to create works of fiction. Others appear to be contingently empty -- those which fail to refer at this world, but which do uniquely identify particular objects in other possible worlds. I argue against Kripke's metaphysical and semantic reasons for thinking that either some or all empty names are necessarily non-referring, because these reasons are either not the right reasons (...) for thinking that a name necessarily must fail to refer, or they are too broad -- they make every empty name necessarily non-referential. Plausibly, the explanation for the necessary non-reference of fictional names should be semantic, yet the explanation should not rule out a priori the contingent non-reference of certain other empty names. In light of this, I argue that a name's semantic value needs to carry information about its referential potential. I claim that names do so by encoding information about the way they were introduced into discourse. Names that are fictional will be marked as being non-referential -- they will fail to refer as a matter of their semantics. In contrast, names that are contingently empty will be marked as referential, but they will be failed referential names that could have been successful. The reason, then, for the non-referential status of a fictional name, will be semantic, as our intuitions suggest it should be. Likewise, the reason for the non-referential status of other empty names, those created by acts of failed attempts to refer, will be metaphysical, again, in keeping with our intuitions. (shrink)

We often view emptiness as a negative condition, a symptom of depression, despair, or grief—an assessment furthered by authors like Franz Kafka or the existentialists, Jean-Paul Sartre and Albert Camus. Offering an alternative view, _A Philosophy of Emptiness_ reclaims these hollow feelings as a positive and even empowering state, an antidote to the modern obsession with substance and foundation. Digging through early and non-Western philosophy, Gay Watson uncovers a rich history of emptiness. She travels from Buddhism, Taoism, and religious mysticism (...) to the contemporary world of philosophy, science, and art practice. Though most Western philosophies are concerned with substance and foundation, she finds that the twentieth century has seen a resurgence of emptiness and offers reasons why such an apparently unappealing concept has attracted modern musicians, artists, and scientists, as well as preeminent thinkers throughout the ages. Probing the idea of how a life without foundation might be lived—and why a person might choose this path—_A Philosophy of Emptiness_ links these concepts to contemporary ideas of meditation and the mind, presenting a rich and intriguing take on the concept of emptiness and the history of thought. (shrink)

If possible worlds are conjunctions of states of affairs, as in David Armstrong’s combinatorial theory, then is the empty world to be thought of as the null conjunction of states of affairs? The proposal seems plausible, and has received support from David Efird, Tom Stoneham, and Armstrong himself. However, in this paper, it is argued that the proposal faces a trilemma: either it leads to the absurd conclusion that the actual world is empty; or it reduces to a familiar representation (...) of the empty world in which the concept of a null conjunction plays no role; or it needs to make room for the null individual of certain non-classical mereologies. (shrink)

It is well known that Hegel contrasts the “Moral standpoint” or “morality” with the higher standpoint of “social ethics” or “ethical life”, and that he regards Kant’s ethical theory as an expression of the moral standpoint. Hegel finds many shortcomings in the moral standpoint, but probably the most famous of Hegel’s criticisms of Kantian moral theory is the charge that Kant’s theory is an “empty formalism,” incapable of providing any “immanent doctrine of duties,” The Kantian moral law, says Hegel, has (...) no content; its only criterion of morally right action is non-contradictoriness, and that proves to be no criterion at all, because it is a criterion which even the most immoral actions are able to satisfy. (shrink)

This volume collects Jay Garfield 's essays on Madhyamaka, Yogacara, Buddhist ethics and cross-cultural hermeneutics. The first part addresses Madhyamaka, supplementing Garfield 's translation of Fundamental Wisdom of the Middle Way, a foundational philosophical text by the Buddhist saint Nagarjuna. Garfield then considers the work of philosophical rivals, and sheds important light on the relation of Nagarjuna's views to other Buddhist and non-Buddhist philosophical positions.

I argue that there are no plausible non-representational explanations of episodes of hallucination. To make the discussion more specific, I focus on visual hallucinations in Charles Bonnet syndrome. I claim that the character of such hallucinatory experiences cannot be explained away non-representationally, for they cannot be taken as simple failures of cognizing or as failures of contact with external reality—such failures being the only genuinely non-representational explanations of hallucinations and cognitive errors in general. I briefly introduce a recent computational model (...) of hallucination, which relies on generative models in the brain, and argue that the model is a prime example of a representational explanation referring to representational mechanisms. The notion of the representational mechanism is elucidated, and it is argued that hallucinations—and other kinds of representations—cannot be exorcised from the cognitive sciences. (shrink)

Objectives Practitioners in contemplative traditions commonly report experiencing an awareness that is distinct from sensory objects, thoughts, and emotions (“awareness itself”). They also report experiences of a void or underlying silence that is closely associated with this awareness. Subjects who carry out the Headless Way exercises frequently report an experience of emptiness or void at the same time as other contents (void-like experiences). The goals of this study were to (1) assess the reliability of these methods in eliciting the recognition (...) of awareness and void-like experiences in participants who had no prior exposure to these techniques, (2) investigate the prevalence of these experiences in these tasks, and (3) to differentiate these experiences from closely related and potential precursor experiences. -/- Method Twenty adults participated in in-depth individual interviews in which they were guided through the Headless Way exercises. A thematic analysis was conducted on the interview transcripts. -/- Results Twelve of the participants reported a void-like experience, and five participants reported an experience of awareness itself. These experiences were respectively categorized as subsets of the more general categories of perceptual absences and the sense of not being person-like. Another novel finding was the real-time reports of awareness and void-like experiences during the exercises. -/- Conclusions Our findings provide preliminary evidence that the Headless Way exercises can effectively induce experiences of emptiness and awareness in participants without prior experience. The findings suggest that such experiences can be elicited outside of a traditional meditation context, including in non-meditators. Furthermore, the experience of not being person-like and of perceptual absences may be precursors and more general forms of recognizing awareness itself and the void-like nature of the mind. (shrink)

The empty set of course contains no computable point. On the other hand, surprising results due to Zaslavskiĭ, Tseĭtin, Kreisel, and Lacombe have asserted the existence of non-empty co-r. e. closed sets devoid of computable points: sets which are even “large” in the sense of positive Lebesgue measure.This leads us to investigate for various classes of computable real subsets whether they always contain a computable point.

This chapter examines the six forms that the teaching of emptiness takes in Zen. Before doing this, the chapter comments briefly on Zen's relation to the doctrinal sources upon which it critically and creatively draws. The Zen tradition understands itself to be based on Śākyamuni Buddha's profoundest teaching of Mahāyāna Buddhism, which has been passed down not through texts and doctrines but by way of face‐to‐face acknowledgment of awakening. The six rubrics which the notion of emptiness is used in the (...) Zen tradition are lack of ownbeing, formlessness of ultimate reality, distinctionless state of meditative consciousness, no‐mind in the action of non‐action, emptiness (or emptying) of emptiness, and emptiness of words. Each of the six rubrics contains a cluster of closely related teachings. Moreover, there are certainly many interconnections, and arguably some tensions, among the rubrics. (shrink)

There is given the proof of strict embedding of Leniewski's elementary ontology into monadic second-order calculus of predicates providing a formalization of the class of all formulas valid in all domains (including the empty one). The elementary ontology with the axiom S (S S) is strictly embeddable into monadic second-order calculus of predicates which provides a formalization of the classes of all formulas valid in all non-empty domains.

Infra-white : an impossible beginning -- Color and white, the blank canvas : the reverse reconstruction of non-dimension -- Remnant and white, color and blankness, qi and white -- Empty and white, empty-empty-substance-substance, the empty room filled with light -- The white layout of the 'Woodcutter fighting for the path' : the ethics of remnant yielding.

Several authors have argued that, assuming we have apriori knowledge of our own thought-contents, semantic externalism implies that we can know apriori contingent facts about the empirical world. After presenting the argument, I shall respond by resisting the premise that an externalist can know apriori: If s/he has the concept water, then water exists. In particular, Boghossian's Dry Earth example suggests that such thought-experiments do not provide such apriori knowledge. Boghossian himself rejects the Dry Earth experiment, however, since it would (...) imply that externalism is true of empty concepts as well as non-empty concepts. Yet in this paper I respond by defending empty-concept externalism, from criticisms suggested by Boghossian and Brown, and recently developed further by Besson. My contention is that an externalist can give a non-ad hoc descriptivist account of empty concepts. Accordingly, apriori self-knowledge does not enable an externalist to know contingent features of the external world. (shrink)

According to higher order theories of consciousness, a mental state is conscious when there is a HO state about it. However, some HO states do not seem to be about other existing mental states. It is possible to resolve this problem since targetless HO states resemble HO states that misrepresent but the assumption that HO states always target other existing mental states is at odds with the theory since HO states are not only necessary but also sufficient for phenomenal consciousness (...) according to the theory. Given the sufficiency of the HO states for consciousness, there is a need to understand the emergence of HO states as a non-random phenomenon to avoid the difficulties caused by targetless HO states. I suggest it is possible to develop such an understanding by thinking of HO states as predictive states in accordance with the predictive processing theory of the mind. (shrink)

This paper discusses the idea of "pure experience" within the context of the Buddhist tradition and in connection with the notions of emptiness and dependent origination via a reading of Dale Wright's reading of 'Huangbo' in his 'Philosophical Meditations on Zen Buddhism'. The purpose is to appropriate Wright's text in order to engender a response to Steven Katz's contextualist-constructivist thesis that there are no "pure" (i.e., unmediated) experiences. In light of the Mahayana claim that everything is empty of substance, i.e., (...) originates dependently through conditions, contingencies, and contexts, what does the "purity" of the Enlightenment experience mean for Chan/Zen Buddhism? (shrink)

Lucette's suicide left me indifferent. This time I knew it was coming, but years ago, when I first read Ada, or Ardor, I also felt relatively indifferent (apart from the element of surprise) to learn about her sudden death. I was aware of my indifference at the time and was surprised at my (non)reaction. It surprised me yet again in my recent rereading of the novel. Manipulating and withholding the reader's engagement with the text and empathy toward a character may (...) have been part of the author's intention, of course. But for me, this lack of emotional engagement with Lucette's fate is emblematic of what I find problematic in Nabokov's admittedly brilliant novel: though intellectually challenging and aesthetically pleasing, Ada (unlike Lolita, for example) is not emotionally engaging. Of course, not all readers find such engagement an important feature of the reading experience, but I do. For this reader, its absence makes Ada (both with and without the italics) a gorgeous but empty shell.Ada's reader, activated by an urge to dig out buried clues, finds that deciphering a clue—aside from the joy to which it may give rise—contributes little to the characters’ reality, to the breadth and depth of their fictional humanity. Instead, Van and Ada remain, throughout the novel, more superhuman than human, endowed with almost supernatural excellences and perfections (their intellect, their looks, their way of life, their unique capacities and skills). Nabokov's heroes indeed bring to mind Nietzsche's Übermensch and the philosopher's critique of traditional ethics. It seems to me that his view of what constitutes human greatness is echoed in the charismatic figures of Van and Ada, whose outlook—an outlook privileging virtues such as aestheticism, intelligence, individuality, and human “greatness”—appears to embody a Nietzschean revaluation of values, privileging an aesthetic outlook on morality. As an amateur of Nabokov, therefore, I was surprised to see that very little has been written about this Nietzschean presence in Ada. An aesthetic revaluation of values is, however, what Ada delivers. As Michael Wood observes, “Nabokov would have hated the association [of his own name with Nietzsche's], but... the connection is not arbitrary.”While this association—whether it was intentional or not—surely contributes to the novel's intellectual breadth and complexity, it adds nothing to the psychology of its main characters. Instead, Van and Ada's übermenschliche qualities—their human “greatness”—seem to be inborn, part of their aristocratic nature, rather than acquired through transformative struggle. I suspect that it is this lack of transformation in the characters that undermines the reader's engagement with their fate. This lack makes Nabokov's family chronicle much less memorable than Tolstoy's.In the first sentence of Ada (“All happy families are more or less dissimilar; all unhappy ones are more or less alike”), Nabokov parodies by reversing the famous first sentence of Anna Karenina and thereby, as Robert Alter argues, reverses “the major thematic movement of the novel as a genre”: whereas Tolstoy's novel concerns lost illusions, Ada “is an attempt to return to paradise.” Nabokov's swing away from Tolstoy is startling and impressive but fails to convince me that the paradise inhabited by the happy Veens is superior to the lost illusions of the Karenins. Even in death, Anna is more alive than Ada. (shrink)

Watsuji Tetsurô is famous for having constructed a systematic socio-political ethics on the basis of the idea of emptiness. This essay examines his 1938 essay “The Concept of ‘Dharma’ and the Dialectics of Emptiness in Buddhist Philosophy” and the posthumously published The History of Buddhist Ethical Thought, in order to clarify the Buddhist roots of his ethics. It aims to answer two main questions which are fundamentally linked: “Which way does Watsuji's legacy turn: toward totalitarianism or toward a balanced theory (...) of selflessness?” and “Is Watsuji's systematic ethics Buddhist?” In order to answer these questions, this essay discusses Watsuji's view of dharma, dependent arising, and morality in Hīnayāna Buddhism. It then proceeds to Watsuji's fine-tuning of the concept of emptiness in Mādhyamika and Yogācāra Buddhism. Finally, this essay shows how Watsuji's modernist Buddhist theory connects to his own systematic ethical theory. These two theories share a focus on non-duality, negation, and emptiness. But they differ in their accounts of the relations between the individual and the community, between the “is” and the “ought,” and between hermeneutics and transcendence. These findings give us hints as to Watsuji's origins, pitfalls, and possibilities. (shrink)

This article seeks to introduce a greater degree of precision into our understanding of Madhyamaka Buddhist ontological non-foundationalism, focussing specifically on the Madhyamaka founder Nāgārjuna (c. 150–250 CE). It distinguishes four senses of what the ‘foundation’ whose existence Mādhyamikas deny means; that is, (1) as ‘something that stands under or grounds things’ (a position known as generic substantialism); (2) as ‘a particular kind of basic entity’ (specific substantialism); (3) as ‘an individual essence (a haecceity or thisness of that object) by (...) means of which it is identical to that very object, to itself’ (modal essentialism); and (4) as ‘an essence in the absence of which an object could be of a radically different kind or sort of object than it in fact is’ (sortal essentialism). It then proceeds to delineate the Madhyamaka refutation of the specific substantialist position in terms of its argued denial of dharma as basic entity; of generic substantialism and modal essentialism in terms of its argued denial of svabhāva as both foundation for and essence of putative entities; and of sortal essentialism in terms of its argued denial of essentialist conceptions of conceptual thought (vikalpa), mental construction (prapañca), and in short the entire domain of ratiocination (kalpanā), by means of its notion of conceptual imputation (prajñaptir upādāya)—a denial strictly speaking ontological, but of what are putative epistemic entities. The final portion of the article explains the relationship of ontological to other forms of non-foundationalism according to Madhyamaka. (shrink)

This paper examines the evolution of Husserl’s philosophy of nonintuitive intentions. The analysis has two stages. First, I expose a mistake in Husserl’s account of non-intuitive acts from his 1901 Logical Investigations. I demonstrate that Husserl employs the term “signitive” too broadly, as he concludes that all non-intuitive acts are signitive. He states that not only meaning acts, but also the contiguity intentions of perception are signitive acts. Second, I show how Husserl, in his 1913/14 Revisions to the Sixth Logical (...) Investigation, amends his 1901 theory of non-intuitive acts, which he now calls “empty” intentions. He there accurately distinguishes empty meaning acts from the empty intentions of perception. In the conclusion, I reveal how Husserl’s alterations to his theory of non-intuitive intentions can inform our understanding of a larger shift in his philosophy. (shrink)

The result of combining classical quantificational logic with modal logic proves necessitism – the claim that necessarily everything is necessarily identical to something. This problem is reflected in the purely quantificational theory by theorems such as ∃x t=x; it is a theorem, for example, that something is identical to Timothy Williamson. The standard way to avoid these consequences is to weaken the theory of quantification to a certain kind of free logic. However, it has often been noted that in order (...) to specify the truth conditions of certain sentences involving constants or variables that don’t denote, one has to apparently quantify over things that are not identical to anything. In this paper I defend a contingentist, non-Meinongian metaphysics within a positive free logic. I argue that although certain names and free variables do not actually refer to anything, in each case there might have been something they actually refer to, allowing one to interpret the contingentist claims without quantifying over mere possibilia. (shrink)

In a short but important article, the Polish philosopher Izydora Dambska criticized the thesis-endorsed by Tadeusz Kotarbinski the effect that there are "empty" terms which denote no objects at all, besides the usual general and singular terms. Dambska remarked that "we usually find cited as examples of empty names such self-contradictory names as or, or names of mythical deities-fictitious figures that exist only in legends, poems, novels, etc." She also pointed out, however, that the basic semantic function of names consists (...) in denoting. This means that, if we admit the concept of a name which denotes nothing, either we arbitrarily change the meaning of the term "name" or run into contradiction. In fact-she observed- "for the everyday interpretation of the term, a name which does not denote anything is practically a non-name.". (shrink)