The subtraction argument, originally put forward by Thomas Baldwin (1996), is intended to establish Metaphysical Nihilism, the thesis that there could have been no concrete objects. Some modified versions of the argument have been proposed in order to avoid some difficulties faced by the original argument. In this paper I shall concentrate on two of those versions, the so-called subtraction argument* (presented and defended in Rodriguez-Pereyra 1997, 2000, 2002), and Efird and Stoneham’s recent version of the argument (Efird (...) and Stoneham 2005). I shall defend the subtraction argument* from Alexander Paseau’s (2006) objection that because a crucial premise of the subtraction argument* may have no plausibility independent from Metaphysical Nihilism, the subtraction argument* is not suasive. Although Paseau focuses on the subtraction argument*, I shall point out that Efird and Stoneham could reply to Paseau’s objection in the same way. Thus there are (at least) two suasive versions of the subtraction argument that establish Metaphysical Nihilism. But are those two arguments equally good? I shall argue that the subtraction argument* is preferable to Efird and Stoneham’s argument. (shrink)

Can we experience emotion without the feeling of accelerated heartbeats, perspiration, or other changes in the body? In his paper “What is an emotion”, William James famously claimed that “if we fancy some strong emotion and then try to abstract from our consciousness of it all the feelings of its bodily symptoms, we find we have nothing left behind” (1884, p. 193). Thus, bodily changes are essential to emotion. This is known as the Subtraction Argument. The Subtraction Argument (...) is still used to support Embodied theories of emotion. Proponents of Disembodied theories, however, have different intuitions regarding the role of bodily changes in the experience of emotion. In order to advance this debate, I conducted a series of studies testing people’s intuitions regarding the Subtraction Argument. Results show that, against James’ claims, most people consider that their hypothetical (Study 1) and actual (Study 2) emotions persist in the absence of bodily feelings. Furthermore, Study 1 found that participants’ responses were not related to individual differences in reflection or interoceptive awareness. These results pose a problem for Embodied theories of emotion and challenge extant explanations for the persistence of emotional experience in cases of impaired interoception. (shrink)

In free speech theory ‘speech’ has to be defined as a special term of art. I argue that much free speech discourse comes with a tacit commitment to a ‘Subtractive Approach’ to defining speech. As an initial default, all communicative acts are assumed to qualify as speech, before exceptions are made to ‘subtract’ those acts that don’t warrant the special legal protections owed to ‘speech’. I examine how different versions of the Subtractive Approach operate, and criticise them in terms of (...) their ability to yield a substantive definition of speech which covers all and only those forms of communicative action that – so our arguments for free speech indicate – really do merit special legal protection. In exploring alternative definitional approaches, I argue that what ultimately compromises definitional adequacy in this arena is a theoretical commitment to the significance of a single unified class of privileged communicative acts. I then propose an approach to free speech theory that eschews this theoretical commitment. (shrink)

This paper rethinks intelligence not as a computational or representational faculty, but as an ecological, embodied, and ethical unfolding. Drawing from Friston’s predictive coding, Fields’ processual epistemology, Kastrup’s ontological idealism, Rancière’s aesthetic dissensus, Weil’s moral attention, and Buddhist prajñā traditions, it reframes intelligence as a subtractive and relational field. Rather than an intrinsic property of discrete agents, intelligence emerges as an incorporeal coherence manifesting through corporeal forms. The paper introduces “descenting into realness” as a deconditioning process that reveals intelligence not (...) through accumulation, but through subtraction—via openness to what exceeds inherited structures of cognition. Through a theory of “subtractive teleology,” inspired by Badiou’s ethics of the void, the essay positions intelligence as evolving through rupture, fidelity, and ethical resonance. Intelligence is thus reconceived as a field of ethical responsiveness, oriented toward the unfolding of the pluriverse. (shrink)

Normative theories can be useful in developing descriptive theories, as when normative subjective expected utility theory is used to develop descriptive rational choice theory and behavioral game theory. “Ought” questions are also the essence of theories of moral reasoning, a domain of higher mental processing that could not survive without normative considerations.

Conversational exculpature is a pragmatic process whereby information is subtracted from, rather than added to, what the speaker literally says. This pragmatic content subtraction explains why we can say “Rob is six feet tall” without implying that Rob is between 5'0.99" and 6'0.01" tall, and why we can say “Ellen has a hat like the one Sherlock Holmes always wears” without implying Holmes exists or has a hat. This article presents a simple formalism for understanding this pragmatic mechanism, specifying (...) how, in context, the result of such subtractions is determined. And it shows how the resulting theory of conversational exculpature accounts for a varied range of linguistic phenomena. A distinctive feature of the approach is the crucial role played by the question under discussion in determining the result of a given exculpature. (shrink)

The secularisation idea is that modernity leaves religion behind. But for Gauchet, modernity just is religion transformed, without remainder. The Axial Age discovery of the inner world of the psyche and its symbolic expressions, was at the same time a growth in understanding of God as creator, transcendent and incommensurable with all of creation. Henceforth, religion would be in the key of personal struggle and symbolic transformation, putting aside heteronomy. Taylor adds a caveat: the self-image of the self-sufficient, autonomous individual (...) subtracted from the canopy of 'higher' mythological entities obscures the basic human need for recognition and identity. This issues in an unhelpful politics of mobilization and manipulation. Likewise, Voegelin sees both liberal modernity and present-day religion as largely gnostic, closed and ideological versions of the traditions. Secular public policy types the religions as sects. But the autonomy of self-determination arises out of religion and a plausible secularisation thesis would see contemporary culture as containing within it the possibility for a secular expression of the authentic religious tradition - including resistance to sect-like religiosity. The revisionist history suggested here entails a rethink of the image of modernity in terms of a complete break with the pre-secular culture and entails a re-positioning of religion within secular society. (shrink)

This paper advances a relational ontology that reconceptualizes entities—including human selves—as affects of dynamic pluriverses rather than autonomous origins of action and being. Drawing from Mahāyāna Buddhist philosophy, process metaphysics, phenomenology, and contemporary ecological thought, it argues that entities emerge through complex ecological relationships that constitute rather than merely contain them. The work develops two key philosophical insights: first, that the ecology of affects as it interacts constitutes intelligence in non-agential form, challenging the notion that intelligence is a property possessed (...) by discrete entities; and second, that this understanding carries an ethical imperative of subtractive teleology, wherein reflexive beings must recognize their fundamental nature by shedding layers of contextual existence while maintaining awareness of contextual realities. This approach aligns with the Buddhist path toward śūnyatā (emptiness) while offering a framework for ethical engagement that honors both particular embodied positions and the fundamental intelligence that expresses itself through these positions. By reconceptualizing intelligence as an immanent field rather than an individual possession, the essay provides conceptual resources for addressing contemporary ecological, ethical, and existential challenges through a more comprehensive understanding of existence as inherently relational. (shrink)

This essay reconceptualizes the ethical field as a dynamic, pluriversal ecology of interdependent relations, drawing on Sāṁkhya metaphysics, Mahāyāna Buddhist Pratītyasamutpāda, and relational ontology to argue that existence unfolds within a co-creative matrix of responsibility and intelligence. Dissociation from this field—crossing the dharmic threshold through the illusion of autonomy—fractures the ethical relation, fostering an adharmic crisis marked by extractive power and ecological impoverishment. By privileging relational intelligence (Buddhi) over fragmented relativism, the essay critiques colonial-modern epistemologies that prioritize autonomous relata over (...) interdependent relationality. Through the practice of subtractive teleology, it proposes an ontological return to the ethical field, aligning human action with dharma as mutual flourishing. Integrating insights from contemporary thinkers like Barad, Bateson, and Levin, the essay envisions intelligence as an ethical ecology, offering a decolonial framework for restoring relational harmony in a pluriversal world. (shrink)

This paper reframes intelligence as an immanent, relational, and ethical characteristic of ecological systems, challenging anthropocentric views that confine it to individual minds. Drawing on Leibniz’s monadology, Bateson’s ecology of mind, Ruyer’s primary consciousness, Grosz’s incorporeality, Deleuze’s immanence, Whitehead’s process philosophy, Levin’s bioelectric morphogenesis, and relational ontology (Prabakaran, 2025), we argue that intelligence is the pluriverse’s capacity for responsiveness, adaptation, and creativity, expressed through entities as localized affects. Rooted in Mahāyāna Buddhism’s pratītyasamutpāda (Garfield, 1995), this intelligence is inherently ethical, fostering (...) mutual flourishing within interdependent webs. Unethical behavior arises from the delusion of separateness, occluding intelligence and disrupting ecological harmony. Through embryogenesis and the practice of subtractive teleology, we illustrate how intelligence operates as an ethical ecology, calling for a reorientation toward relational responsiveness and care. (shrink)

This paper proposes a radical shift in metaphysical understanding by replacing the conventional time-space continuum with a relational age-shape continuum, conceptualized as a pluriversal and affective field. Drawing from Indian philosophical traditions such as the Yoga Vāsiṣṭha, Bhartṛhari’s Vākyapadīya, and Dṛg-Dṛśya-Viveka, alongside Western relational metaphysics including Leibniz’s Monadology, Julian Barbour’s shape dynamics, and Mahāyāna Buddhist concepts of śūnyatā (emptiness) and pratītyasamutpāda (co-dependent origination), we argue that time and space are not ontologically fundamental. Instead, entities emerge as affects of a dynamic (...) pluriverse—a world of many worlds—constituted by karmic momentum (kāla) and relational place configurations (sthala, deśa). This framework reconceptualizes intelligence as a non-agential, immanent process that expresses itself through entities rather than being possessed by them. The ethical imperative of subtractive teleology emerges as a practice of shedding illusory separateness to realize interdependence, aligning with the realization of śūnyatā. By emphasizing ratios as measures of transformation, this age-shape ontology offers a participatory metaphysics that addresses ecological, ethical, and existential challenges through a relational understanding of existence. (shrink)

This paper reframes intelligence as an immanent, relational, and ethical characteristic of ecological systems, challenging anthropocentric views that confine it to individual minds. Drawing on Leibniz’s monadology, Bateson’s ecology of mind, Ruyer’s primary consciousness, Grosz’s incorporeality, Deleuze’s immanence, Whitehead’s process philosophy, Levin’s bioelectric morphogenesis, and relational ontology (Prabakaran, 2025), we argue that intelligence is the pluriverse’s capacity for responsiveness, adaptation, and creativity, expressed through entities as localized affects. Rooted in Mahāyāna Buddhism’s pratītyasamutpāda (Garfield, 1995), this intelligence is inherently ethical, fostering (...) mutual flourishing within interdependent webs. Unethical behavior arises from the delusion of separateness, occluding intelligence and disrupting ecological harmony. Through embryogenesis and the practice of subtractive teleology, we illustrate how intelligence operates as an ethical ecology, calling for a reorientation toward relational responsiveness and care. (shrink)

n an era of increasing interdependence between economic progress and social equity, ethical capital emerges as an indispensable yet overlooked dimension of sustainable development. This paper explores ethical capital as a transformative force within economic and social systems, contrasting it with traditional forms of capital such as human, social, and cultural capital. Drawing on insights from Badiou’s subtractive ontology and Bourdieu’s field theory, it argues that ethical capital functions as a field resource, fostering trust, equity, and resilience. Unlike accumulative forms (...) of capital, ethical capital disrupts entrenched narratives, reconfiguring economic practices to prioritize collective well-being over individual gain. By conceptualizing ethical capital as an event-based, intangible asset, this paper underscores its role in shaping sustainable economic systems. The analysis highlights challenges in measuring ethical capital and advocates for integrating it into business and economic strategies as a foundational element for long-term societal progress and competitive advantage. (shrink)

Subtractive schooling is a type of pedagogy that subtracts from the student aspects of her identity in order to assimilate and reshape her identity to fit the American mainstream. Here, I question the value of assimilation as it takes place in our public school systems. Currently, immigrant children are often made to feel inadequate for being culturally different. This is detrimental to their development as students given that at their young age they do not yet have the emotional maturity to (...) know that their experience, language and culture are legitimate and valuable. My goal is to shift the focus of subtractive schooling to one that fosters the growth of students through recognition. I suggest that John Dewey’s and Paulo Freire’s pedagogy of recognition is a helpful approach to this problem. Both Dewey and Freire’s pedagogy emphasize recognition as central to their pedagogy. (shrink)

[This is an edited version of a keynote talk at the conference on Neural Information Processing Systems (NeurIPS) on November 28, 2022, with some minor additions and subtractions.] -/- There has recently been widespread discussion of whether large language models might be sentient or conscious. Should we take this idea seriously? I will break down the strongest reasons for and against. Given mainstream assumptions in the science of consciousness, there are significant obstacles to consciousness in current models: for example, their (...) lack of recurrent processing, a global workspace, and unified agency. At the same time, it is quite possible that these obstacles will be overcome in the next decade or so. I conclude that while it is somewhat unlikely that current large language models are conscious, we should take seriously the possibility that successors to large language models may be conscious in the not-too-distant future. (shrink)

1. First section notes: subtraction -/- Evidently -/- (1) black – black = empty-set -/- because anything minus itself is the empty set, but -/- (2) █ – █ = █ + █ -/- because there are two instances of black on the left and two instances of black on the right...

The thesis of this article is that there has never been any ground for the controversy between the doctrine of free will and determinism, that it is based upon a misapprehension, that the two assertions are entirely consistent, that one of them strictly implies the other, that they have been opposed only because of our natural want of the analytical imagination. In so saying I do not tamper with the meaning of either phrase. That would be unpardonable. I mean free (...) will in the natural and usual sense, in the fullest, the most absolute sense in which for the purposes of the personal and moral life the term is ever employed. I mean it as implying responsibility, merit and demerit, guilt and desert. I mean it as implying, after an act has been performed, that one " could have done otherwise " than one did. I mean it as conveying these things also, not in any subtly modified sense but in exactly the sense in which we conceive them in life and in law and in ethics. These two doctrines have been opposed because we have not realised that free will can be analysed without being destroyed, and that determinism is merely a feature of the analysis of it. And if we are tempted to take refuge in the thought of an "ultimate ", an "innermost" liberty that eludes the analysis, then we have implied a deterministic basis and constitution for this liberty as well. For such a basis and constitution lie in the idea of liberty. -/- The thesis is not, like that of Green or Bradley, that the contending opinions are reconciled if we adopt a certain metaphysic of the ego, as that it is timeless, and identifies itself with a desire by a " timeless act". This is to say that the two are irreconcilable, as they are popularly supposed to be, except by a theory that delivers us from the conflict by taking us out of time. Our view on the contrary is that from the natural and temporal point of view itself there never was any need of a reconciliation but only of a comprehension of the meaning of terms. (The metaphysical nature of the self and its identity through time is a problem for all who confront memory, anticipation, etc.; it has no peculiar difficulties arising from the present problem.) -/- I am not maintaining that determinism is true; only that it is true insofar as we have free will. That we are free in willing is, broadly speaking, a fact of experience. That broad fact is more assured than any philosophical analysis. It is therefore surer than the deterministic analysis of it, entirely adequate as that in the end appears to be. But it is not here affirmed that there are no small exceptions, no slight undetermined swervings, no ingredient of absolute chance. All that is here said is that such absence of determination, if and so far as it exists, is no gain to freedom, but sheer loss of it; no advantage to the moral life, but blank subtraction from it. -- When I speak below of "the indeterminist" I mean the libertarian indeterminist, that is, him who believes in free will and holds that it involves indetermination. (shrink)

Subjectivity theories of consciousness take self-reference, somehow construed, as essential to having conscious experience. These theories differ with respect to how many levels they posit and to whether self-reference is conscious or not. But all treat self-referencing as a process that transpires at the personal level, rather than at the subpersonal level, the level of mechanism. -/- Working with conceptual resources afforded by pre-existing theories of consciousness that take self-reference to be essential, several attempts have been made to explain seemingly (...) anomalous cases, especially instances of alien experience. These experiences are distinctive precisely because self-referencing is explicitly denied by the only person able to report them: those who experience them deny that certain actions, mental states, or body parts belong to self. The relevant actions, mental states, or body parts are sometimes attributed to someone or something other than self, and sometimes they are just described as not belonging to self. But all are referred away from self. -/- The cases under discussion here include somatoparaphrenia, schizophrenia, depersonalization, anarchic hand syndrome, and utilization behavior; the theories employed, Higher-Order Thought, Wide Intrinsicality, and Self-Representational. Below I argue that each of these attempts at explaining or explaining away the anomalies fails. Along the way, since each of these theories seeks at least compatibility with science, I sketch experimental approaches that could be used to adduce support for my position, or indeed for the positions of theorists with whom I disagree. -/- In a concluding section I first identify two presuppositions shared by all of the theorists considered here, and argue that both are either erroneous or misleading. Second, I call attention to divergent paths adopted when attempting to explain alienation experiences: some theorists choose to add a mental ingredient, while others prefer to subtract one. I argue that alienation from experience, action, or body parts could result from either addition or subtraction, and that the two can be incorporated within a comprehensive explanatory framework. Finally, I suggest that this comprehensive framework would require self-referencing of a sort, but self-referencing that occurs solely on the level of mechanism, or the subpersonal level. In adumbrating some features of this “subpersonal self,” I suggest that there might be one respect in which it is prior to conscious experience. (shrink)

In these days, there is an increasing technological development in intelligent tutoring systems. This field has become interesting to many researchers. In this paper, we present an intelligent tutoring system for teaching mathematics that help students understand the basics of math and that helps a lot of students of all ages to understand the topic because it's important for students of adding and subtracting. Through which the student will be able to study the course and solve related problems. An evaluation (...) of the intelligent tutoring systems was carried out and the results were encouraging. (shrink)

Ontology is currently perceived as the solution of first resort for all problems related to biomedical terminology, and the use of description logics is seen as a minimal requirement on adequate ontology-based systems. Contrary to common conceptions, however, description logics alone are not able to prevent incorrect representations; this is because they do not come with a theory indicating what is computed by using them, just as classical arithmetic does not tell us anything about the entities that are added or (...) subtracted. In this paper we shall show that ontology is indeed an essential part of any solution to the problems of medical terminology – but only if it is understood in the right sort of way. Ontological engineering, we shall argue, should in every case go hand in hand with a sound ontological theory. (shrink)

Whereas recent commentators have suggested that consumer demand, typecasting and marketing lead performers to maintain continuities across films, I argue that cinema has historically made it difficult to subtract performers from roles, leading to relatively constant comportment, and that casting, marketing and audience preference are not only causes but also effects of this. I do so using thought experiments and empirical experiments, for example, by pondering why people say they see Jesus in paintings of him and rarely mention models, but (...) stress that they see actors when encountering photographic stills of performers portraying him. Arguably, this relates to what photographs have historically come to mean, and these meanings would make it difficult for audiences to subtract and not see the actor. Based on such thinking, along with what filmmakers have said and done, and adding to classic accounts of Cavell, Santayana and others, I build the case that cinematic media invite performers to play themselves. (shrink)

In the present research, the authors hypothesized that additive counterfactual thinking mind-sets, activated by adding new antecedent elements to reconstruct reality, promote an expansive processing style that broadens conceptual attention and facilitates performance on creative generation tasks, whereas subtractive counterfactual thinking mind-sets, activated by removing antecedent elements to reconstruct reality, promote a relational processing style that enhances tendencies to consider relationships and associations and facilitates performance on analytical problem-solving tasks. A reanalysis of a published data set suggested that the counterfactual (...) mind-set primes previously used in the literature tend to evoke subtractive counterfactuals. Studies 1 and 2 then demonstrated that subtractive counterfactual mind-sets enhanced performance on analytical problem-solving tasks relative to additive counterfactual mind-sets, whereas Studies 3 and 4 found that additive counterfactual mind-sets enhanced performance on creative generation tasks relative to subtractive counterfactual mind-sets. (shrink)

Critical-set views avoid the Repugnant Conclusion by subtracting some constant from the welfare score of each life in a population. These views are thus sensitive to facts about biographical identity: identity between lives. In this paper, I argue that questions of biographical identity give us reason to reject critical-set views and embrace the total view. I end with a practical implication. If we shift our credences towards the total view, we should also shift our efforts towards ensuring that humanity survives (...) for the long term. (shrink)

Following recent work by Don Ross (Ross, 2000; Ross & Spurrett, 2004), I contrast the influential theories of Daniel Dennett and Paul Churchland in information-theoretic terms. Dennett makes much of the fact that the morphological shorthand which emerges before a witness as she looks upon cohesive aggregates of matter commands some measure of predictive power. This, for him, speaks against eliminating recourse to an intentional vocabulary. By contrast, the eliminative materialism defended by Churchland does not gloss such informational compressibility as (...) an explanatory desideratum, and thus regards the informational noise which accrues at higher levels of description as patently unacceptable. Yet, since it is unlikely, as Ross, Ladyman, and Collier (2007) have recently suggested, that anything remains once we subtract the appeal to patterns, I argue that the ubiquity of informational compression in scientific explanation seriously undermines the claim that talk of the mental could be eliminated. (shrink)

[The version of this paper published by Oxford online in 2019 was not copy-edited and has some sense-obscuring typos. I have posted a corrected (but not the final published) version on this site. The version published in print in 2020 has these corrections.] Which is more fundamental, assertion or testimony? Should we understand assertion as basic, treating testimony as what you get when you add an interpersonal addressee? Or should we understand testimony as basic, treating mere assertion -- assertion without (...) testimony -- as what you get when you subtract that interpersonal relation? In this chapter, I’ll argue for the subtractive approach and for the more general thesis that its treatment of the interpersonal element in assertion makes understanding that interpersonal element the key to understanding how assertion expresses belief. My theory of belief-expression in assertion treats it as internalizing the transmission of belief in testimony. How we understand that internalizing move depends on how we conceptualize the interpersonal element in testimony. Since what I’ll call the Command Model does not give us the conceptual resources to make this move, we should adopt an alternative that I’ll call the Custodial Model, on which a testifier aims not to convince her addressee but to reason with him – to give him reasons to believe what she tells him grounded in her trustworthiness in thus attempting to influence him. The subtractive approach to assertion thus rests on a key distinction between the aims of reasoning and persuasion. (shrink)

We reconsider the pragmatic interpretation of intuitionistic logic [21] regarded as a logic of assertions and their justi cations and its relations with classical logic. We recall an extension of this approach to a logic dealing with assertions and obligations, related by a notion of causal implication [14, 45]. We focus on the extension to co-intuitionistic logic, seen as a logic of hypotheses [8, 9, 13] and on polarized bi-intuitionistic logic as a logic of assertions and conjectures: looking at the (...) S4 modal translation, we give a de nition of a system AHL of bi-intuitionistic logic that correctly represents the duality between intuitionistic and co-intuitionistic logic, correcting a mistake in previous work [7, 10]. A computational interpretation of cointuitionism as a distributed calculus of coroutines is then used to give an operational interpretation of subtraction.Work on linear co-intuitionism is then recalled, a linear calculus of co-intuitionistic coroutines is de ned and a probabilistic interpretation of linear co-intuitionism is given as in [9]. Also we remark that by extending the language of intuitionistic logic we can express the notion of expectation, an assertion that in all situations the truth of p is possible and that in a logic of expectations the law of double negation holds. Similarly, extending co-intuitionistic logic, we can express the notion of conjecture that p, de ned as a hypothesis that in some situation the truth of p is epistemically necessary. (shrink)

The destruction and pollution of the natural environment poses two problems for philosophers. The first is political and pragmatic: which theory of the environment is best equipped to impact policymakers heading as we are toward a series of potential ecocatastrophes? The second is more central: On the environment philosophers tend to fall either side of an irreconcilable divide. Either our moral concerns are grounded directly in nature, or the appeal is made via an anthropocentric set of interests. The lack of (...) a common ground is disturbing. In this paper I attempt to diagnose the reason for this lack. I shall agree that wild nature lacks features of intrinsic moral worth, and that leaves a puzzle: Why is it once we subtract the fact that there is such a lack, we are left with strong intuitions against the destruction and/or pollution of wild nature? Such intuitions can be grounded only in a strong sense of aesthetic concern combined with a common-sense regard for the interests of sentient life as it is indirectly affected by the quality of the environment. I suggest also that of the positions on offer, a hybrid theory of the environment is best suited to address our first problem, that of having an effective influence in the polity. (shrink)

ABSTRACT The philosophical tradition approaches to morals have their grounds predominantly on metaphysical and theological concepts and theories. Among the traditional ethics concepts, the most prominent is the Divine Command Theory (DCT). As per the DCT, God gives moral foundations to the humankind by its creation and through Revelation. Morality and Divinity are inseparable since the most remote civilization. These concepts submerge in a theological framework and are largely accepted by most followers of the three Abrahamic traditions: Judaism, Christianity, and (...) Islam: the greatest part of the human population. Holding faith and Revelation for its grounds, the Divine Command Theories are not strictly subject to the demonstration. The opponents to the Divine Command conception of morals, grounded in the impossibility of demonstration of its metaphysical and religious assumptions, have tried for many centuries (albeit unsuccessfully) to devalue its importance. They held the argument that it does not show material evidence and logical coherence and, for this reason, cannot be taken into account for scientific nor philosophical purposes. It is just a belief and, as so, should be understood. Besides these extreme oppositions, many other concepts contravene the Divine Command theories, in one or another way, in part or in full. Many philosophers and social scientists, from the classic Greek philosophy up to the present date, for instance, sustain that morality is only a construct, and thus culturally relative and culturally determined. However, this brings many other discussions and imposes the challenge to determine what is the meaning of culture, which elements of culture are morally determinant, and finally, what are the boundaries of such relativity. Moral determinists claim that everything related to human behavior, including morality, is determined, once free will does not exist. More recently, modern thinkers argued that there is a strict science of morality. However, the scientific method alone, despite explaining several facts and evidence, cannot enlighten the entire content and full meaning of ethics. Morals’ understanding requires a broader perception, and an agreement among philosophers, which they have never achieved. All of these questions have many different configurations depending on each philosophical strand, and start complex analysis and endless debates, as long as many of them are reciprocally conflictive. The universe and the atmosphere involving this thesis are the dominions of all these conceptual conflicts, observed from an objective and evolutionary standpoint. Irrespective of this circumstance and its intrinsic importance, however, these questions are far distant from the methodological approach of an analytical discussion on objective morals, what is, indeed, the aim and scope of this work. We should briefly revisit these prominent traditional theories because this thesis shelters a comparative study, and its assumptions at least differ profoundly from all traditional theories. Therefore, it becomes necessary offering direct and specific elements of comparison to the reader, for the right criticism, dispensing interruptive researches. However, even revisiting the traditional theories, for this comparative and critical exposure purpose, they will be kept by the side of our main concerns, as “aliena materia.” Irrespective of the validity of any or all of the elements of this discussion, and their meaning as the philosophical universe of this thesis, the purpose of this work is demonstrating and justifying the existence and meaning of prehistoric moral archetypes arisen directly from the very first social needs and efforts for survival. These archetypes are the definition of the essential foundation of ethics, its aggregation to the collective unconscious and corresponding logic organization and transmission to evolutionary stages of the human genome and different relations space-time, irrespective of any contemporary experience of the individuals. The system defined by these archetypes composes an evolutionary human social model. Is this a metaethical position? Yes, it is. Moreover, as in any metaethical reasoning, we should look carefully for the best and coherent routes, as the Analytical Philosophy offers them. Thus, this work should reasonably demonstrate that morals are not a cultural product of the civilized men or modern societies and that despite being subject to several cultural relative aggregations and subtractions, its essential foundations are archetypal and have never structurally changed. This reasoning induces that morality is an original attribute of the “homo sapiens”; it is not a property and nor an accident: it integrates the human essence and belongs to the realm of the ontological human identity. The human phenomena is a continuing process, playing its role between random determination and free will, and we need to question how morality began and how did it come to us in the present. (shrink)

In this paper I object some of the criticisms Wahlberg (2017. “Meso-Level Objects, Powers, and Simultaneous Causation.” Metaphysica 18 (1): 107–25) wages against Mumford and Anjum's (2011. Getting Causes from Powers . Oxford: Oxford University Press) account of simultaneous causation. A brief outlook on Wahlberg’s argument in favour of sequential causation is introduced. A first objection is presented and it is shown that sequential causation cannot deal with one of Mumford and Anjum’s argument: the possibility of prevention. When sequential and (...) simultaneous causation are put side by side and how the causal process in each of them interact with a subtractive preventer is analysed, sequential causation becomes visibly flawed while simultaneous causation accommodates the prevention. Then, a second objection argues that the solution Wahlberg puts forward is defective and the time intervals marking the beginning of the cause or effect merely change where the problem appears. Finally, I retort a series of concerns Wahlberg stresses about the structure of simultaneous causation: temporal directedness, causal configuration and non-negligible change and time. (shrink)

Much research supports the existence of an Approximate Number System (ANS) that is recruited by infants, children, adults, and non-human animals to generate coarse, non-symbolic representations of number. This system supports simple arithmetic operations such as addition, subtraction, and ordering of amounts. The current study tests whether an intuition of a more complex calculation, division, exists in an indigene group in the Amazon, the Mundurucu, whose language includes no words for large numbers. Mundurucu children were presented with a video (...) event depicting a division transformation of halving, in which pairs of objects turned into single objects, reducing the array's numerical magnitude. Then they were tested on their ability to calculate the outcome of this division transformation with other large-number arrays. The Mundurucu children effected this transformation even when non-numerical variables were controlled, performed above chance levels on the very first set of test trials, and exhibited performance similar to urban children who had access to precise number words and a surrounding symbolic culture. We conclude that a halving calculation is part of the suite of intuitive operations supported by the ANS. (shrink)

We argue that genuine modal realism can be extended, rather than modified, so as to allow for the possibility of nothing concrete, a possibility we term ‘metaphysical nihilism’. The issue should be important to the genuine modal realist because, not only is metaphysical nihilism itself intuitively plausible, but also it is supported by an argument with pre-theoretically credible premises, namely, the subtraction argument. Given the soundness of the subtraction argument, we show that there are two ways that the (...) genuine modal realist can accommodate metaphysical nihilism: (i) by allowing for worlds containing only spatiotemporal points and (ii) by allowing for a world containing nothing but the null individual. On methodological grounds, we argue that the genuine modal realist should reject the former way but embrace the latter way. (shrink)

In this work we present the algorithms to produce deterministic finite automaton (DFA) for extended operators in regular expressions like intersection, subtraction and complement. The method like "overriding" of the source NFA (NFA not defined) with subset construction rules is used. The past work described only the algorithm for AND-operator(or intersection of regular languages); in this paper the construction for the MINUS-operator (and complement) is shown.

The article explores similarities between the philosophies of Zhuangzi and Aristippus, focusing in particular on play and eudaimonism. The main thesis is that both authors encourage the cultivation of a playful mindset, defined in the paper as the “ludic self”, which operates as a strategy for leading a flourishing life. By shaping a fluid, unstructured identity, the ludic self promotes negative subtraction from the structuring power of social nexus and proactive adaptation to shifting circumstances. Furthermore, some aspects of these (...) philosophies present an inter-disciplinary convergence with scientific findings from the psycho-biology of play, concerned with the mobilization of cathected energies and the prevention, or resolution, of addictive states. These promising connections with the fields of psychology and biology also represent an original contribution in respect to the existing debates within Zhuangzi studies, and scholarship on the Cyrenaics. From a methodological point of view, the article pursues what Rorty defines as a “rational reconstruction”, which involves a re-interpretation of past philosophies in light of present debates, ideas and vocabularies with the aim of engaging a trans-cultural, trans-historical dialogue. The value of this operation relies upon the universality of human experience, which always allows re-interpretation and re-actualization of past philosophies as a dialogical exercise of questioning otherness within a hermeneutic framework. (shrink)

In the fifth version of our response-paper [26] to Imamura’s criticism, we recall that NonStandard Neutrosophic Logic was never used by neutrosophic community in no application, that the quarter of century old neutrosophic operators (1995-1998) criticized by Imamura were never utilized since they were improved shortly after but he omits to tell their development, and that in real world applications we need to convert/approximate the NonStandard Analysis hyperreals, monads and binads to tiny intervals with the desired accuracy – otherwise they (...) would be inapplicable. We point out several errors and false statements by Imamura [21] with respect to the inf/sup of nonstandard subsets, also Imamura’s “rigorous definition of neutrosophic logic” is wrong and the same for his definition of nonstandard unit interval, and we prove that there is not a total order on the set of hyperreals (because of the newly introduced Neutrosophic Hyperreals that are indeterminate), whence the Transfer Principle from R to R* is questionable. After his criticism, several response publications on theoretical nonstandard neutrosophics followed in the period 2018-2022. As such, I extended the NonStandard Analysis by adding the left monad closed to the right, right monad closed to the left, pierced binad (we introduced in 1998), and unpierced binad - all these in order to close the newly extended nonstandard space (R*) under nonstandard addition, nonstandard subtraction, nonstandard multiplication, nonstandard division, and nonstandard power operations [23, 24]. Improved definitions of NonStandard Unit Interval and NonStandard Neutrosophic Logic, together with NonStandard Neutrosophic Operators are presented. (shrink)

Do multi-level selection explanations of the evolution of social traits deepen the understanding provided by single-level explanations? Central to the former is a mathematical theorem, the multi-level Price decomposition. I build a framework through which to understand the explanatory role of such non-empirical decompositions in scientific practice. Applying this general framework to the present case places two tasks on the agenda. The first task is to distinguish the various ways of suppressing within-collective variation in fitness, and moreover to evaluate their (...) biological interest. I distinguish four such ways: increasing retaliatory capacity, homogenising assortment, and collapsing either fitness structure or character distribution to a mean value. The second task is to discover whether the third term of the Price decomposition measures the effect of any of these hypothetical interventions. On this basis I argue that the multi-level Price decomposition has explanatory value primarily when the sharing-out of collective resources is `subtractable'. Thus its value is more circumscribed than its champions Sober and Wilson (1998) suppose. (shrink)

Reflecting on the past is often a critical ingredient for successful learning. The current research investigated how counterfactual thinking, reflecting on how prior experiences might have been different, motivates effective learning from these previous experiences. Specifically, we explored how the structure of counterfactual reflection – their additive (‘‘If only I had”) versus subtractive (‘‘If only I had not”) nature – influences performance in dyadic-level strategic interactions. Building on the functionalist account of counterfactuals, we found across two experiments that generating additive (...) counterfactuals about a previous negotiation produced an advantage for negotiators over their previous performance compared to subtractive counterfactuals, both in terms of obtaining value for oneself and conceiving creative agreements. Additive counterfactuals enabled negotiators to more effectively extract lessons from past experiences to improve their current negotiation performance. (shrink)

The present research investigated the relationship between meaning perceptions and the structure of counterfactual thoughts. In Study 1, participants reflected on how turning points in their lives could have turned out otherwise. Those who were instructed to engage in subtractive (e.g., If only I had not done X...”) counterfactual thinking (SCT) about those turning points subsequently reported higher meaning perceptions than did those who engaged in additive (e.g., ‘If only I had done X...’) counterfactual thinking (ACT). In Study 2, participants (...) who reflected upon life events from the perspective of understanding the past (versus preparing for the future) tended to engage in more SCT than ACT. Finally, in Study 3, participants engaged in more SCT than ACT about life events whose meaning was perceived as certain (as opposed to uncertain) – presumably to maintain their pre-existing sense of meaning. Implications for the study of counterfactual thinking and meaning are discussed. (shrink)

We argue that prediction success maximization is a basic objective of cognition and cortex, that it is compatible with but distinct from prediction error minimization, that neither objective requires subtractive coding, that there is clear neurobiological evidence for the amplification of predicted signals, and that we are unconvinced by evidence proposed in support of subtractive coding. We outline recent discoveries showing that pyramidal cells on which our cognitive capabilities depend usually transmit information about input to their basal dendrites and amplify (...) that transmission when input to their distal apical dendrites provides a context that agrees with the feedforward basal input in that both are depolarizing, i.e., both are excitatory rather than inhibitory. Though these intracellular discoveries require a level of technical expertise that is beyond the current abilities of most neuroscience labs, they are not controversial and acclaimed as groundbreaking. We note that this cellular cooperative context-sensitivity greatly enhances the cognitive capabilities of the mammalian neocortex, and that much remains to be discovered concerning its evolution, development, and pathology. (shrink)

Why All Mathematical Equations Have an Equal Sign in the Middle (Including Deviations and Applications Across All Fields of Mathematics) -/- Mathematics is a universal tool used to express relationships, patterns, and structures in both abstract and real-world settings. At the heart of this tool is the equal sign, which symbolizes balance and equivalence between two ideas. The equal sign ensures that what is expressed on one side of an equation corresponds directly to the other. However, in practical applications, perfect (...) balance is often disrupted, leading to deviations that reflect real-world imperfections. These deviations, whether positive or negative, help make mathematical models more applicable to reality. This essay explores the importance of the equal sign, the concept of deviations, and how they apply across various fields of mathematics. -/- The Equal Sign: A Symbol of Balance -/- The equal sign serves as a bridge, showing that two expressions, ideas, or quantities are equivalent. It represents the foundational principle of balance in mathematics, allowing relationships to be defined and analyzed logically. For example, when describing physical, economic, or biological systems, the equal sign provides clarity, ensuring that all components of the system interact in harmony. -/- In theory, the equal sign represents perfect balance. However, real-world scenarios rarely follow such exactitude. External factors, approximations, or errors often create deviations from this balance. These deviations allow us to account for variability and adjust our models accordingly, making mathematics a flexible tool for solving practical problems. -/- Deviations from Equality -/- While the equal sign represents the ideal state of balance, deviations account for the imperfections and complexities of reality. -/- 1. Positive Deviations: These occur when one side of a relationship exceeds the other, reflecting surplus or unexpected growth. For example, this might happen when actual outcomes surpass predictions, such as higher-than-expected profits in business. -/- 2. Negative Deviations: These arise when one side falls short, representing a deficit or shortfall. For instance, in weather modeling, negative deviations might occur when observed rainfall is less than forecasted. -/- These deviations are crucial for refining mathematical models, especially in fields where variability is unavoidable, such as physics, economics, and biology. -/- Applications in Various Fields of Mathematics -/- 1. Arithmetic and Number Theory -/- The equal sign ensures balance when performing basic operations, such as addition, subtraction, or multiplication. However, in practical applications, rounding errors or approximations often introduce deviations. For example, when adding measurements with decimals, the result might be slightly adjusted due to rounding. -/- In number theory, the equal sign represents equivalence in concepts like divisibility or patterns among numbers. Deviations can highlight remainders or shifts in these relationships, as seen in practical uses like cryptography. -/- 2. Algebra -/- Algebra explores relationships between variables and constants, often solving for unknowns. The equal sign is central to defining and solving these relationships. However, real-world algebraic problems often involve constraints or uncertainties, such as production limits in business. Deviations in algebra can account for these irregularities, making it a critical tool for optimization and resource allocation. -/- 3. Geometry -/- In geometry, the equal sign helps define relationships like the congruence of shapes, the proportions of angles, or the equivalence of areas. Deviations arise in practical applications, such as construction or design, where imperfect measurements lead to slight discrepancies. For instance, a building’s dimensions might not align perfectly with theoretical calculations due to material constraints or human error. -/- 4. Trigonometry -/- Trigonometry studies relationships in triangles and periodic phenomena, such as waves. The equal sign ensures that relationships between angles and sides are consistent. However, in fields like engineering or physics, deviations occur due to inaccuracies in measurements or environmental factors. These deviations are essential for improving real-world applications, such as signal processing or sound wave analysis. -/- 5. Calculus -/- Calculus deals with changes and accumulations. The equal sign helps express how quantities evolve or grow over time, such as the speed of an object or the amount of water collected in a tank. -/- In differential calculus, deviations reflect changes in rates caused by external influences, like friction affecting the motion of an object. -/- In integral calculus, deviations occur when real-world accumulations, such as population growth or fuel consumption, differ from idealized predictions. These adjustments make calculus more effective for analyzing and predicting real-world behavior. -/- 6. Linear Algebra -/- Linear algebra examines relationships in systems involving multiple variables, such as equations describing supply and demand. The equal sign is used to establish balance within these systems. Deviations, such as noise or inaccuracies in data, play a significant role in real-world applications like machine learning, where adjustments improve predictive accuracy. -/- 7. Probability and Statistics -/- Probability and statistics analyze uncertainty and variation. The equal sign represents theoretical models, such as the average outcome of a random event. However, deviations from these models, often referred to as errors or residuals, highlight differences between predictions and observed results. These deviations are essential for refining models, whether in weather forecasting, market analysis, or medical research. -/- 8. Real-World Modeling Across Disciplines -/- Physics: In physics, the equal sign links relationships like force and motion. Deviations arise when real-world conditions, such as air resistance, alter the ideal balance predicted by equations. -/- Economics: The concept of equilibrium in supply and demand relies on the equal sign, but market fluctuations often introduce deviations, leading to surpluses or shortages. -/- Biology: Growth models in biology, such as the spread of a population or a virus, use the equal sign to describe ideal patterns. Deviations account for environmental factors, resource limitations, or mutations. -/- Conclusion -/- The equal sign is the foundation of all mathematical equations, symbolizing balance and equivalence. It ensures that relationships are clearly defined, making mathematical reasoning precise and reliable. However, deviations play an equally important role, accounting for imperfections and variability in the real world. Across all fields of mathematics—arithmetic, algebra, geometry, calculus, and beyond—the interplay between balance and deviation enhances our ability to model, analyze, and solve complex problems. Together, the equal sign and deviations allow mathematics to bridge the gap between idealized theory and the complexities of real-world phenomena. -/- . (shrink)

We think of the world as consisting of objects, with properties and standing in relations. There are, to be sure, different views on what objects etc. there are, and on what their natures are. And some theorists want to subtract some elements from this picture. For example, the ontological nihilist says that there are no objects. But still, the view described is very much orthodoxy—so much orthodoxy that one may need to be reminded that the view that the world consists (...) of objects, with properties and standing in relations is, precisely, a view. I here investigate the possibility that this view is false: that there is what may be called alien structure. And I investigate the relationship between alien structure and some important themes from the history of analytic philosophy. (shrink)

Prudential hedonism is a school of thought in the philosophy of welfare that says that only pleasure is good for us in itself and only pain is bad for us in itself. This dissertation concerns an especially austere form of prudential hedonism: basic prudential hedonism (BPH). BPH claims that all pleasure is good for us in itself, and all pain is bad for us in itself, without exception; that all pleasures feel fundamentally alike, as do all pains; and that the (...) amount of welfare in a person’s life can (in principle) be calculated just by adding up the amount of pleasure it contains and subtracting the amount of pain. The dissertation presents a positive argument for the claim that pleasures and pains are defined by common phenomenal properties, defends BPH against a battery of objections, and outlines an argument for accepting BPH on the grounds that it is simpler than competing views. (shrink)

In the fifth version of our reply article [26] to Imamura's critique, we recall that Neutrosophic Non-Standard Logic was never used by the neutrosophic community in any application, that the quarter-century old (1995-1998) neutrosophic operators criticized by Imamura were never used as they were improved soon after, but omits to talk about their development, and that in real-world applications we need to convert/approximate the hyperreals, monads and bi-nads of Non-Standard Analysis to tiny intervals with the desired precision; otherwise they would (...) be inapplicable. We pointed out several errors and false statements by Imamura [21] regarding the inf/sup of nonstandard subsets, also Imamura's "rigorous definition of neutrosophic logic" is incorrect, as is his definition of nonstandard unit interval, and we showed that there is no total order in Neutrosophic Computing and Machine Learning , Vol. 23, 2022 Florentin Smarandache, Definición mejorada de la lógica neutrosófica no estándar e introducción a los hiperreales neutrosóficos (Quinta versión) 2 the set of hyperreals (due to the recently introduced Neutrosophic Hyperreals which are indeterminate), so the Transfer Principle from R to R* is questionable. After his critique, several reply posts on non-standard theoretical neutrosophy followed in 2018-2022. As such, I extended the Nonstandard Analysis by adding the right-closed left monad, the left-closed right monad, the punctured binad (which we introduced in 1998), and the nonpunctured binad - all in order to close the newly extended nonstandard space (R*) under nonstandard addition, nonstandard subtraction, nonstandard multiplication, nonstandard division, and nonstandard power operations [23, 24]. Improved definitions of the Nonstandard Unitary Interval and Nonstandard Neutrosophic Logic are presented, along with Nonstandard Neutrosophic Operators. (shrink)

During the last two decades, a sharp re-reading of St. Paul’s letters allowed several thinkers to embed a messianic element in their political philosophy. In these readings, the messianic refusal of the world and its laws is understood through the suspensive act of ‘subtraction’ – a movement of withdrawal which nonetheless proved too often ineffective when translated in political practice. -/- After having analysed Agamben’s declension of Subtraction in terms of ‘inoperativity’, this article focuses on the notion of (...) Parousia as a key element to understand his anti-utopian account of messianic time. In contrast with Agamben’s reading, Bloch’s interpretation of the Pauline Parousia envisages the messianic event as infra-historical, but at the same time opened to ultimate (meta-historical) purposes. Bloch’s messianic call – I argue – takes the form of mediation, a correction of subtraction towards the direction of a more committed political engagement. I conclude suggesting that the concrete implementations of this mediation perform their emancipatory function in so far as they assume the character of practical ethics, with the attention directed to the underprivileged and marginalised. (shrink)

ABSTRACT This article offers the first step in an ongoing project of revisiting the foundations of latinidad and lo latinoamericano by focusing on the exclusions enacted by the history of these concepts and the cultural and political identity that comes with them. In conversation with Susana Nuccetelli and Omar Rivera, the author focuses on two emblematic authors in the history of Latin American philosophy (Simón Bolívar and José de Vasconcelos) that are usually read as offering a novel, liberatory conception of (...) the Latin American reality/identity, categorically different from European and Anglo-American conceptions. This common reading of some of the foundational texts on Latin American identity, however, conceals not only the active, textual removal of Blackness in the construction of this identity, but also the literal subtraction of Black bodies, lives, and histories from the Latin American nations and communities. Both of these elements are an explicit part of the philosophical programs of Bolívar and Vasconcelos. The article shows how the thought and political practice of these two authors, celebrated in different ways as foundational of what we understand as Latin America today, exemplify the exclusionary historical demarcation of latinidad. (shrink)

ABSTRACT The individual-community relationship has always been one of the most fundamental topics of social sciences. In sociology, this is known as the micro-macro relationship while in economics it refers to the processes, through which, individual actions lead to macroeconomic phenomena. Based on philosophical discourse and systems theory, many sociologists even use the term "emergence" in their understanding of micro-macro relationship, which refers to collective phenomena that are created by the cooperation of individuals, but cannot be reduced to individual actions. (...) "Emergence" theories attempt to explain the nature of society as a complex system by examining how individuals and their relationships lead to the creation of integrated and macro-social phenomena such as markets, educational systems, cultural beliefs, and shared social practices. As a prelude to activity, every researcher has to answer the question from the methodological point of view, how is it possible to study the behavior of social groups and how can we gain knowledge about the laws related to social groups? Anyone who deals with humanities and social sciences or any reality and phenomenon that affects human beings, inevitably deals with the reality that is emerging. In fact, emergence occurs when one level of reality emerges radically from another level. Examples of emergent levels of reality include how the mind emerges from the body; or the way society emerges from human beings. Therefore, when there is an emerging factor, different scientific disciplines should be used, because it is inevitable to talk about social affairs, psychology and neurobiology, as well as physical and even chemical. -/- INTRODUCTION Since its beginning in the 19th century, sociology has faced the fundamental question of what a social phenomena stands for? At a glance, sociologists deal with the study of social groups, collective behavior, institutions, social structures, social networks, and social dynamics, and ultimately all such phenomena are composed of individuals. Therefore, social phenomena seem to have no independent ontological status, and in this case, sociology is ultimately about reducible individuals. Different approaches about the micro-macro relationship, using the concept of "emergence", argue that although collective phenomena are created by individuals, they cannot be reduced to individual action. The term "emergence" is used to distinguish "emergent results" from " Procedural results". Results are called Procedural that can only be calculated by adding or subtracting the causes that act together. On the contrary, they are emergent outcomes that are qualitatively novel compared to the causes from which they originate. An example of such emergent results is mental characteristics that emerge from neural processes, but are not considered among the characteristics of neural processes of components - which are their origin. Philosophical debates about emergentism and reductionism focus on the mind-brain relationship, but as many philosophers have noted, they can be generalized to apply to any hierarchical set of features. The cognitive revolution reactivated a 19th century controversy between theorists of Identity and dualism. The theorists of Identity believe in reductionist materialism and elimination of metaphysics, according to which the mind is nothing more than the biological, while the dualists believe that the mind and the brain are distinct from each other. Emergence has been considered as a third way between the theories of Identity and dualism. -/- METHODOLOGY Interdisciplinarity Is fundamentally indicated by the dominance of open systems as well as social and emerging systems at different levels. Therefore, as long as we are facing a new emergentism, there will necessarily be different fields and an interdisciplinary method. The commonality of social sciences and cognitive sciences on the issue of emergence provides the possibility of interaction and exchange of concepts between these two for deeper research. Therefore, in this research, apart from the concepts of Subvenience and downward causation, we have used multiple realization and wildly disjunctive, which are used to explain the emerging concept in cognitive sciences, including neurobiology, psychology, and philosophy. For analytical and interdisciplinary approaches, after examining the concepts of subvenience, and wildly disjunctive, Individualistic and collectivist emergentism have been reviewed. And then their adequacy is criticized and evaluated in meeting strong emergence conditions. -/- FINDINGS Philosophers of the mind have been able to define the conditions of irreducibility and downward causation, which are essential for strong emergence, by using the principle of subvenience with the help of multiple realization and wildly disjunctive principles. Therefore, by definition, emergentist individualism suffers from the problem of how to explain downward causality and irreducibility, and emergentist collectivism faces the challenge of reification. The analysis of the challenges facing the two methodological approaches of individualism and collectivism leads us to three unresolved issues about the emerging phenomenon, which are realism, downward causality, and mechanism. Despite the differences in the stances of these two approaches regarding the aforementioned triple problems, individualists and collectivists both agree that some social characteristics are reducible; and some others are irreducible due to their complexity, the determination of which, depends on the case study of the mechanism of emergence of each social characteristic. -/- CONCLUSION An emergence that is consistent with reductionism is called a weak emergence. And strong emergence includes the principle of irreducibility and downward causality. According to strong emergence, the characteristics of social phenomena have downward causal power, which cannot be reduced to the causal forces. The principle of subvenience, together with multiple realization and wildly disjunctive, can provide the conditions of irreducibility and downward causality, which are essential conditions of strong emergence. Based on the philosophical analysis of two methodological approaches, individualist and collectivist, it can be concluded that emergentist individualism suffers from the problem of how to explain downward causality and irreducibility, and reification collectivism faces the challenge of reification. The analysis of the problems faced by these two approaches leads us to three unresolved issues, which are realism, downward causality, and mechanism. individualist emergentists acknowledge the existence of emergent social characteristics, but despite this, they believe that these characteristics are not real but merely analytical constructs that require explanation based on individuals and their mutual actions. But collectivists argue that emergentism yields a categorical ontology and supports social realism. They accept the dependence of social characteristics on individuals, but claim that social entities and structures are ontologically independent. Individualists and collectivists both agree that some social characteristics are reducible; and others are irreducible due to their complexity; and the only way to recognize this is to engage in empirical studies of the mechanisms and temporal processes of "emergence" that create social characteristics. -/- NOVELTY The newness of this compact article is as follows: a) Presenting an interdisciplinary approach using the analysis of philosophy of cognitive sciences, including the philosophy of mind, neurobiology and psychology to formulate the issue of social emergence; b) Criticizing individualist and collectivist methodological approaches to the issue of social emergence and explaining the sufficiency and shortcomings of both in providing weak and strong emerging conditions; c) Explaining and categorizing the challenges facing methodological approaches in explaining the phenomenon of social emergence, in three categories: realism, downward causality, and mechanism. BIBLIOGRAPHY Beckermann, A., Flohr, H., & Kim, J. (eds.) (1992). Emergence or reduction? Essays on the prospects of nonreductive physicalism. Berlin: Walter de Gruyter. Bhaskar, R. (1979). The possibility of Naturalism. New York: Routledge. Bhaskar, R., Danermark, B. & Price, L. (2018). Interdisciplinarity and wellbeing: A critical realist general theory of interdisciplinarity. London and New York: Routledge. Blau, P.M. (1981). Introduction: diverse views of social structure and their common denominator. In Blau, P.M. & Merton, R.K. (eds.), Continuity in Structural Inquiry (pp. 1–23). Beverly Hills: Sage. Blau, P.M. (1987). Microprocess and macrostructure. In K.S. Cook (ed.), Social Exchange Theory (pp. 83–100). Newbury Park, CA: Sage. Brooks, R.A., & Maes, P. (eds). (1994). Artificial life IV; proceedings of the Fourth International Workshop on the Synthesis and Simulation of Living Systems. Cambridge, Mass: MIT Press. Clark, A. (1997). Being there: Putting brain, body, and world together again. Cambridge, Mass.: MIT Press. Coleman, J. S. (1987). Microfoundations and macrosocial behavior. In: J. C. Alexander, B. Giesen, R. Munch, & Neil J. Smelser (Eds.). The Micro-Macro Link (pp. 153–73). Berkeley: University of California. Coleman, J. S. (1990). Foundations of social theory. Cambridge, MA: Harvard University Press. Elster, J. (1985). Making sense of Marx. New York: Cambridge University Press. Fodor, J.A. (1974). Special sciences (Or: The disunity of science as a working hypothesis). Synthese, 28(2), 97–115. Fodor, J.A. (1989). Making mind matter more. Philosophical Topics, 17, 59-79. Giddens, A. (1984). The constitution of society: Outline of the theory of structuration. Berkeley: University of California Press. Hempel, C.G. (1965). Aspects of scientific explanation and other essays in the philosophy of science. New York: The Free Press. Horgan, T. (1993). From supervenience to superdupervenience: meeting the demands of a material world. Mind, 102, 555-586. Humphreys, P. (1997). How properties emerge”. Philosophy of Science, 64, 1-17. Kim, J. (1999). Making sense of emergence. Philosophical Studies, 95, 3–36. Kincaid, H. (1997). Individualism and the unity of science. New York: Rowman & Littlefield. Lewis, D.K. (1986). The plurality of worlds. Oxford: Oxford University Press. Nigel, G., & Conte, R. (eds.) (1995). Artificial societies; The computer simulation of social life. London: UCL Press. O’Connor, T. (1994). Emergent properties. American Philosophical Quarterly, 31, 91-104. Popper, K.R. (1968). Conjectures and refutations: The Growth of Scientific Knowledge. New York: Harper & Row. Sawyer, R. K. (2001). Emergence in sociology: contemporary philosophy of mind and some implications for sociological theory. American Journal of Sociology, 107, 551-585. Sawyer, R. K. (2004). The mechanisms of emergence. Philosophy of the Social Sciences, 34, 260–282. Sawyer, R. K. (2005). Social emergence: societies as complex systems. Cambridge: Cambridge University Press. Sawyer, R.K. (2003). Nonreductive individualism: Part 2, Social causation. Philosophy of the Social Sciences, 33, 203–224. Winch, P. (1993). The idea of a social science and its relation to philosophy‭ (SAMT, Trans.). Tehran, Iran: SAMT. (shrink)

In the 17th century, Hobbes stated that we reason by addition and subtraction. Historians of logic note that Hobbes thought of reasoning as “a ‘species of computation’” but point out that “his writing contains in fact no attempt to work out such a project.” Though Leibniz mentions the plus/minus character of the positive and negative copulas, neither he nor Hobbes say anything about a plus/minus character of other common logical words that drive our deductive judgments, words like ‘some’, ‘all’, (...) ‘if’, and ‘and’, each of which actually turns out to have an oppositive, character that allows us, “in our silent reasoning,” to ignore its literal meaning and to reckon with it as one reckons with a plus or a minus operator in elementary algebra or arithmetic. These ‘logical constants’ of natural language figure crucially in our everyday reasoning. Because Hobbes and Leibniz did not identify them as the plus and minus words we reason with, their insight into what goes on in ‘ratiocination’ did not provide a guide for a research program that could develop a +/- logic that actually describes how we reason deductively. I will argue that such a +/- logic provides a way back from modern predicate logic—the logic of quantifiers and bound variables that is now ‘standard logic’—to an Aristotelian term logic of natural language that had been the millennial standard logic. (shrink)

This essay examines William Blake’s rare lithograph 'חנוך' (“Enoch”) as a radical meditation on self-annihilation and spiritual resistance amid the political turmoil of the Napoleonic Wars. Rather than a purely esoteric or theological figure, Enoch becomes in Blake’s rendering a symbol of embodied refusal—a spectral counterpoint to the nationalist and imperial mythologies of his time. Drawing on Blake’s visual poetics, Hebrew etymologies, and contemporaneous print culture, the essay explores how this singular work critiques dominant narratives of historical progress. By foregrounding (...) the lithograph’s aesthetic of disappearance, it reveals a Blakean theory of vision grounded in subtraction, vulnerability, and messianic interruption. In tracing Enoch’s ascent as an anti-heroic gesture, the piece argues for Blake’s alignment with prophetic traditions that resist both divine and imperial sovereignty through erasure and the politics of the unrepresentable. (shrink)

In this article, Deleuze & Guattari (D+G)’s conception of democracy will be approached with regard to art’s envisagement of “becoming-democratic” as a mode of thinking through percepts and affects. For D+G, democracy is, by no means, a desirable political goal or the name of a type of governance appropriate for the world. On the contrary, as long as it is a representation mechanism, democracy has negative connotations since it promotes the dominance of majority. For this reason, the only way of (...) affirming democracy is to cleanse and subtract the governmental layers which fix it as a system of social measurement, and re-associate it with “multiplicity” & “becoming”. In this respect, democracy can only be affirmed if it is paired with the notions of becoming-democratic, becoming-revolutionary and becoming-minor. Nevertheless, it is not the case that mainstream political philosophy or professional politics are the only methods for formulating opinions on democracy. “Politics of art” would provide means of thinking upon becoming democratic since art—being a mode of thinking by itself—may place many issues about which one could talk only theoretically (or which would hardly become a part of daily life) on a living plane, even though that plane would solely exist in the world of the work of art. In brief, on the condition that it is not an apparatus of representation, art may turn into a medium of thinking upon becoming-democratic, in addition to all the other becomings that it is related to. (shrink)

Yablo has argued for an alternative form of if-thenism that is more conducive with his figurative fictionalism. This commentary sets out to challenge whether the remainder, ρ, tends to be an inaccurate representation of the conditions that are supposed to complete the enthymeme from φ to Ψ. Whilst by some accounts the inaccuracies shouldn't set off any alarm bells, the truth of ρ is too inexact. The content of ρ, a partial truth, must display a sensitivity to the contextual background (...) conditions for subtraction to work properly in Yablo's view. Using a toy example, I argue that Yablo's subtraction model tends to yield partial truths as remainders that fail to rule out inaccurate expressions that may prove to be problematic for it. (shrink)

Background: Microbiome biomarker discovery for patient diagnosis, prognosis, and risk evaluation is attracting broad interest. Selected groups of microbial features provide signatures that characterize host disease states such as cancer or cardio-metabolic diseases. Yet, the current predictive models stemming from machine learning still behave as black boxes and seldom generalize well. Their interpretation is challenging for physicians and biologists, which makes them difficult to trust and use routinely in the physician-patient decision-making process. Novel methods that provide interpretability and biological insight (...) are needed. Here, we introduce "predomics", an original machine learning approach inspired by microbial ecosystem interactions that is tailored for metagenomics data. It discovers accurate predictive signatures and provides unprecedented interpretability. The decision provided by the predictive model is based on a simple, yet powerful score computed by adding, subtracting, or dividing cumulative abundance of microbiome measurements. -/- Results: Tested on >100 datasets, we demonstrate that predomics models are simple and highly interpretable. Even with such simplicity, they are at least as accurate as state-of-the-art methods. The family of best models, discovered during the learning process, offers the ability to distil biological information and to decipher the predictability signatures of the studied condition. In a proof-of-concept experiment, we successfully predicted body corpulence and metabolic improvement after bariatric surgery using pre-surgery microbiome data. -/- Conclusions: Predomics is a new algorithm that helps in providing reliable and trustworthy diagnostic decisions in the microbiome field. Predomics is in accord with societal and legal requirements that plead for an explainable artificial intelligence approach in the medical field. (shrink)