Neo-Fregean approaches to set theory, following Frege, have it that sets are the extensions of concepts, where concepts are the values of second-order variables. The idea is that, given a second-order entity $X$, there may be an object $\varepsilon X$, which is the extension of X. Other writers have also claimed a similar relationship between second-order logic and set theory, where sets arise from pluralities. This paper considers two interpretations of second-order logic—as (...) being either extensional or intensional—and whether either is more appropriate for this approach to the foundations of set theory. Although there seems to be a case for the extensional interpretation resulting from modal considerations, I show how there is no obstacle to starting with an intensional second-order logic. I do so by showing how the $\varepsilon$ operator can have the effect of “extensionalizing” intensional second-order entities. (shrink)

Egan argues against Lewis’s view that properties are sets of actual and possible individuals and in favour of the view that they are functions from worlds to extensions (sets of individuals). Egan argues that Lewis’s view implies that 2nd order properties are never possessed contingently by their (1st order) bearers, an implication to which there are numerous counter-examples. And Egan argues that his account of properties is more commensurable with the role they play as the semantic values of (...) predicates than is Lewis’s. (shrink)

Epistocracy and populism are usually seen as opposites. The first finds error in democracy’s reliance on the sub-optimal decisions by the supposedly incompetent masses, and argues that political decisions should be tied to epistemic merit, not popularity. The populist critique of democracy, contrarily, finds that there is not enough political confrontation in standard representative democracies where the ‘real people’ are not properly embodied, and thus pits an imagined direct will of the unified and virtuous people against a self-serving establishment. This (...) article demonstrates that these ideologies have surprising underlying similarities concerning their categorization, political ontology, epistemology and a conception of political authority. Firstly, they both are second-order political ideologies that are not directly tied with substantive political content but rather with the interpretation of how to govern assuming disagreement concerning first-order political ideologies. Secondly, their political ontology divides citizens into two constitutively differing parts, one of which they (partly) exclude from political membership. Thirdly, their political epistemology assumes the existence of political truths which makes their conception of authority anti-proceduralist, either instrumentalist or moralist. Fourthly, they downplay the value of pluralism, deliberation and dissent. Uncovering these commonalities helps us detect and understand the dynamics of some anti-democratic tendencies better. (shrink)

Purpose – This study aims to examine the observer’s role in “infant psychophysics”. Infant psychophysics was developed because the diagnosis of perceptual deficits should be done as early in a patient’s life as possible, to provide efficacious treatment and thereby reduce potential long-term costs. Infants, however, cannot report their perceptions. Hence, the intensity of a stimulus at which the infant can detect it, the “threshold”, must be inferred from the infant’s behavior, as judged by observers (watchers). But whose abilities are (...) actually being inferred? The answer affects all behavior-based conclusions about infants’ perceptions, including the well-proselytized notion that auditory stimulus-detection thresholds improve rapidly during infancy. Design/methodology/approach – In total, 55 years of infant psychophysics is scrutinized, starting with seminal studies in infant vision, followed by the studies that they inspired in infant hearing. Findings – The inferred stimulus-detection thresholds are those of the infant-plus-watcher and, more broadly, the entire laboratory. The thresholds are therefore tenuous, because infants’ actions may differ with stimulus intensity; expressiveness may differ between infants; different watchers may judge infants differently; etc. Particularly, the watcher’s ability to “read” the infant may improve with the infant’s age, confounding any interpretation of perceptual maturation. Further, the infant’s gaze duration, an assumed cue to stimulus detection, may lengthen or shorten nonlinearly with infant age. Research limitations/implications – Infant psychophysics investigators have neglected the role of the observer, resulting in an accumulation of data that requires substantial re-interpretation. Altogether, infant psychophysics has proven far too resilient for its own good. Originality/value – Infant psychophysics is examined for the first time through second-order cybernetics. The approach reveals serious unresolved issues. (shrink)

Culinary products have culinary value. That is, they have value qua culinary products. However, what is the nature of culinary value and what elements determine it? In the light of the central and universal role that culinary products play in our lives, offering a philosophical analysis of culinary value is a matter of interest. This paper attempts to do just this. It develops three different possible models of culinary value, two rather restricted ones and a (...) third more encompassing one, rejects the first two, and defends the third one. (shrink)

Value Sensitive Design (VSD) is an established method for integrating values into technical design. It has been applied to different technologies and, more recently, to artificial intelligence (AI). We argue that AI poses a number of challenges specific to VSD that require a somewhat modified VSD approach. Machine learning (ML), in particular, poses two challenges. First, humans may not understand how an AI system learns certain things. This requires paying attention to values such as transparency, explicability, and accountability. (...) class='Hi'>Second, ML may lead to AI systems adapting in ways that ‘disembody’ the values embedded in them. To address this, we propose a threefold modified VSD approach: 1) integrating a known set of VSD principles (AI4SG) as design norms from which more specific design requirements can be derived; 2) distinguishing between values that are promoted and respected by the design to ensure outcomes that not only do no harm but also contribute to good; and 3) extending the VSD process to encompass the whole life cycle of an AI technology in order to monitor unintended value consequences and redesign as needed. We illustrate our VSD for AI approach with an example use case of a SARS-CoV-2 contact tracing app. (shrink)

Abstract: The aims of this study are to introduce acceleration methods that are called triangular acceleration methods, which come within the series of several acceleration methods that generally known as Al-Tememe's acceleration methods of the second kind which are discovered by (Ali Hassan Mohammed). These methods are useful in improving the results of determining numerical integrals of continuous integrands where the main error is of the forth order with respect to accuracy, partial intervals and the fasting of calculating (...) the results specifically to accelerate results come out by Simpson's method. Also, it is possible to make use of it to improve the results of solving differential equations numerically of the main error of the forth order. (shrink)

Many people are strongly opposed to the intentional destruction of human embryos, whether it be for purposes scientific, reproductive, or other. And it is not uncommon for such people to argue against the destruction of human embryos by invoking the claim that the destruction of human embryos is morally on par with killing the following humans: (A) the standard infant, (B) the suicidal teenager, (C) the temporarily comatose individual, and (D) the standard adult. I argue here that this claim is (...) false and do so as follows. First, I provide an account of the prima facie wrongness of killing individuals (A) – (D). Briefly, I contend that individuals (A) – (D) have a certain property in common, that of having a future of value. An individual who has a future of value has the potential to (i) value goods of consciousness when he will (or would) experience them and (ii) do so as a psychologically continuous individual. And depriving an individual of a future of value is prima facie wrong. Killing an individual deprives him of a future of value. Thus, killing an individual who has a future of value is prima facie wrong. Since individuals (A) – (D) have futures of value, killing them is prima facie wrong. Second, I argue that, given this account of the prima facie wrongness of killing individuals (A) – (D), the destruction of individual (E), the standard embryo, is not morally on par with killing individuals (A) – (D). For, unlike individuals (A) – (D), the standard embryo does not have a future of value. Specifically, I argue that having a future of value involves having the second-order potential for psychological continuity, a potential that individuals (A) – (D) have but that individual (E) does not. For possessing the second-order potential for psychological continuity requires the possession of psychological states, something individuals (A) – (D) have but that individual (E) lacks. Hence, individual (E) does not share with individuals (A) – (D) the property of having a future of value and, in turn, is not deprived of one when it is killed. Thus, given my proposed account of the prima facie wrongness of killing individuals (A) – (D), killing individual (E) is not morally on par with killing individuals (A) – (D). (shrink)

The value of up-hill skiing is double, it is first a sport and artistic expression, second it incorporates functional dependencies related to the natural obstacles which the individual aims to overcome. On the artistic side, M. Dufrenne shows the importance of living movement in dance, and we can compare puppets with dancers in order to grasp the lack of intentional spiritual qualities in the former. The expressivity of dance, as for, Chi Gong, ice skating or ski mountaineering (...) is a particular innocence and lightness which is called grace. It is life without the burden of worries. Grace, in slow progression uphill on snow, is as dance for Dufrenne, it has the most central and specific aesthetical quality of life. Others compared dance to a landscape, a landscape is for the sight, what dance is for life, a symbolical space, different from a usual space, where utility and dependency are present. A mountain can be a space of experience of natural beauty. Aesthetical qualities can be closely related to function related qualities as when a climber needs to adjust his movements to the natural convex inclination of the rocks, and avoid slippery forms of inclination, present on the other side of the mountain. The natural object, the quality of the snow or the rock differ from the aesthetical quality of the style of ascent by the absence of neutralization of the object, in case of a purely instrumental approach. On the contrary, grace in the rhythm of the progression of ski climbers needs a difference of attitude, which is not only proper to the playing, and delimited by the conditions of that play, but as a contingency driven attitude, without signification as radical alterity, without any finality. First ascent of the Matterhorn succeeded from the Swiss side, and not from the Italian side because of the different inclination of the rock on both sides. Grace in dance as in martial art or mountaineering is allowing to perceive an autonomy of the expression, as the truth of the perceived object, it puts away a cognitive and practical orientation and replaces it by a new meaning as movement in the whole set of movements done by the climber. This replacement of the functional expression resembles that operated by the painter who chooses a color in the whole set of colors in a painting, or a shape in the whole set of possible existing shapes. -/- Ref. Dufrenne, Mikel, (1989): The Phenomenology of Aesthetic Experience. Studies in Phenomenology and Existential Philosophy, trans. by Edward S. Casey, 1st publ. in 1953, Evanston: Northwestern University Press. (shrink)

The article introduces the problematics of the classical two-valued logic on which Western thought is generally based, outlining that under the conditions of its logical assumptions the subject I is situated in a world that it cannot address. In this context, the article outlines a short history of cybernetics and the shift from first- to second-order cybernetics. The basic principles of Gordon Pask’s 1976 Conversation Theory are introduced. It is argued that this second-order theory grants agency (...) to others through a re-conception of living beings as You logically transcending the I. The key principles of Conversation Theory are set in relation to the poetic forms of discourse that played a key role in art as well as philosophical thinking in China in the past. Second-order thinking, the article argues, is essentially poetic. It foregoes prediction in favour of the potentiality of encountering tomorrow’s delights. (shrink)

This paper articulates and defends three interconnected claims: first, that the debate on the role of values for science misses a crucial dimension, the institutional one; second, that institutions occupy the intermediate level between scientific activities and values and that they are to be systematically integrated into the analysis; third, that the appraisal of the institutions of science with respect to values should be undertaken within the premises of a comparative approach rather than an ideal approach. Hence, I defend (...) the view that the issue be framed in reference to the following question: "What kind of institutional rules should be in place in order for the scientific process to unfold in such a way that the values that we deem more important come to the fore?" Addressing this concern is equivalent to conducting a debate on institutions and their role for science. (shrink)

Abstract: The aims of this study are to introduce acceleration methods that called relative and algorithmic acceleration methods, which we generally call Al-Tememe's acceleration methods of the second kind discovered by (Ali Hassan Mohammed). It is very useful to improve the numerical results of continuous integrands in which the main error is of the 4th order, and related to accuracy, the number of used partial intervals and how fast to get results especially to accelerate the results got by (...) Simpson's method. Also, it is possible to utilize it in improving the results of differential equations numerically of the main error of the forth order. (shrink)

There was a time when Greco-Roman culture recognized faith as an indispensable social good. More recently, however, the value of faith has been called into question, particularly in connection with religious commitment. What, if anything, is valuable about faith—in the context of ordinary human relations or as a distinctive stance people might take in relation to God? I approach this question by examining the role that faith talk played both in ancient Jewish and Christian communities and in the larger (...) Greco-Roman culture in which Christian faith talk evolved. I locate the value of faith and faithfulness in the context of relationships involving trust and loyalty and argue that what is most distinctively valuable about faith is the function it plays in sustaining relationships through various kinds of challenges, including through evidentially unfavorable circumstances and significant periods of doubt. In light of this discussion, I set out a view of relational faith and, taking Mother Teresa as an exemplar, argue for two further conclusions. First, faith can play the valuable role that it plays in sustaining relationships even without belief of the salient propositions. Second, in at least some circumstances, in order for faith to play this valuable role in a way that does not require epistemic opinions that fail to fit one’s evidence, it is important that faith does not require such belief. (shrink)

Spinoza is a hardcore realist about the nature of human beings and their desires, ambitions, and delusions. But he is neither a misanthrope nor in the business of glorifying the notion of a primal and innocent non-human nature. As he writes: Let the Satirists laugh as much as they like at human affairs, let the Theologians curse them, let Melancholics praise as much as they can a life that is uncultivated and wild, let them disdain men and admire the lower (...) animals. Men still find from experience that by helping one another they can provide themselves much more easily with the things they require, and that only by joining forces can they avoid the dangers that threaten on all sides. Indeed, Spinoza’s Ethics is a book whose aim is to lead us toward human blessedness and freedom. The question I will try to answer in the present study, then, is the following. Given his sober attempt to rid humanity of its self-aggrandizing illusions and to offer a naturalistic account of human nature, what does Spinoza see as the source of the value of humanity (if it has any)? In order to address the various aspects of this question, I will begin by examining the value of human friendship. Then, in the second part of the paper, I will consider the thorny question of whether Spinoza’s deflationary view of humanity’s status within nature allows for any notion of human dignity. In the third and final part, I will examine the value Spinoza ascribes to rationality, and the implications of this issue for his understanding of the value of humanity. (shrink)

According to Russellianism (or Millianism), the two sentences ‘Ralph believes George Eliot is a novelist’ and ‘Ralph believes Mary Ann Evans is a novelist’ cannot diverge in truth-value, since they express the same proposition. The problem for the Russellian (or Millian) is that a puzzle of Kaplan’s seems to show that they can diverge in truth-value and that therefore, since the Russellian holds that they express the same proposition, the Russellian view is contradictory. I argue that the standard (...) Russellian appeal to “ways of thinking” or “propositional guises” is not necessary to solve the puzzle. Rather than this retrograde concession to Fregeanism, appeal should be made to second-order belief. The puzzle is solved, and the contradiction avoided, by maintaining that both sentences are indeed true in addition to the sentence ‘Ralph (mistakenly) believes that he does not believe Mary Ann Evans/George Eliot is a novelist’. (shrink)

This article analyzes the value of geometric models to understand matter with the examples of the Platonic model for the primary four elements (fire, air, water, and earth) and the models of carbon atomic structures in the new science of crystallography. How the geometry of these models is built in order to discover the properties of matter is explained: movement and stability for the primary elements, and hardness, softness and elasticity for the carbon atoms. These geometric models appear (...) to have a double quality: firstly, they exhibit visually the scientific properties of matter, and secondly they give us the possibility to visualize its whole nature. Geometrical models appear to be the expression of the mind in the understanding of physical matter. (shrink)

This paper investigates how political theorists and philosophers should understand egalitarian political demands in light of the increasingly important realist critique of much of contemporary political theory and philosophy. It suggests, first, that what Martin O'Neill has called non-intrinsic egalitarianism is, in one form at least, a potentially realistic egalitarian political project and second, that realists may be compelled to impose an egalitarian threshold on state claims to legitimacy under certain circumstances. Non-intrinsic egalitarianism can meet realism’s methodological requirements because (...) it does not have to assume an unavailable moral consensus since it can focus on widely acknowledged bads rather than contentious claims about the good. Further, an appropriately formulated non-intrinsic egalitarianism may be a minimum requirement of an appropriately realistic claim by a political order to authoritatively structure some of its members' lives. Without at least a threshold set of egalitarian commitments, a political order seems unable to be transparent to many of its worse off members under a plausible construal of contemporary conditions. (shrink)

According to a recent proposal, the epistemic aim of metaphysics as a discipline is to chart the different viable theories of metaphysical objects of inquiry (e.g. causation, persistence). This paper elaborates on and seeks to improve on that proposal in two related ways. First, drawing on an analogy with how-possibly explanation in science, I argue that we can usefully understand this aim of metaphysics as the charting of epistemically possible answers to metaphysical questions. Second, I argue that in (...) class='Hi'>order to account for the epistemic goodness of this aim, one should appeal to the epistemic value it has in virtue of providing resources for non-factive understanding of the objects of metaphysical inquiry.**This paper is forthcoming in a special issue of Argumenta on the Epistemology of Metaphysics**. (shrink)

To the normal reasons that we think can justify one in preferring something, x (namely, that x has objectively preferable properties, or has properties that one prefers things to have, or that x's obtaining would advance one's preferences), I argue that it can be a justifying reason to prefer x that one's very preferring of x would advance one's preferences. Here, one prefers x not because of the properties of x, but because of the properties of one's having the preference (...) for x. So-revising one's preferences is rational in paradoxical choice situations like Kavka's Deterrence Paradox. I then try to meet the following objections: that this is stoicist, incoherent, bad faith; that it conflates instrumental and intrinsic value, gives wrong solutions to the problems presented by paradoxical choice situations, entails vicious regresses of value justification, falsifies value realism, makes valuing x unresponsive to x's properties, causes value conflict, conflicts with other standards of rationality, violates decision theory, counsels immorality, makes moral paradox, treats value change as voluntary, conflates first- and second-order values, is psychologically unrealistic, and wrongly presumes that paradoxical choice situations can even occur. (shrink)

Purpose This paper discusses ethical principles that are implicit in second-order cybernetics, with the aim of arriving at a better understanding of how second-order cybernetics frames living in a world with others. It further investigates implications for second-order cybernetics approaches to architectural design, i.e. the activity of designing frameworks for living. -/- Design/methodology/approach The paper investigates the terminology in the second-order cybernetics literature with specific attention to terms that suggest that there are (...) ethical principles at work. It further relates second-order cybernetics to selected notions in phenomenology, pragmatism and transcendental idealism. The comparison allows for conclusions about the specificity of a second-order inquiry. In line with the thematic focus of this journal issue on the framing of shared worlds, the paper further elaborates on questions relating to the activity of designing “worlds” in which people live with others. -/- Findings The paper highlights that a radical openness toward the future and toward the agency of others is inscribed in the conception of second-order cybernetics. It creates a frame of reference for conceiving social systems of all kinds, including environments that are designed to be inhabited. -/- Originality/value The paper identifies an aesthetics grounded in the process of living-with-others as an ethical principle implicit in second-order cybernetics thought. It is an aesthetics that is radically open for the agency of others. Linking aesthetics and ethics, the paper’s contributions will be of specific value for practitioners and theoreticians of design. Considering second-order cybernetics as a practice generally dealing with designing, it also contributes to the wider second-order cybernetics discourse. (shrink)

In this article, I reply to a critical notice of my book, Meaning in Life: An Analytic Study, that Stephen Kershnar has published elsewhere in this issue of Science, Religion & Culture. Beyond expounding the central conclusions of the book, Kershnar advances two major criticisms of it, namely, first, that I did not provide enough evidence that meaning in life is a genuine value-theoretic category as something distinct from and competing with, say, objective well-being, and, second, that, even (...) if there were a value of meaning in life, my fundamentality theory of it would not capture it well. Here I respond to both of these criticisms, aiming to probe these underexplored issues still more deeply. I also contend that these two criticisms are in tension with each other; in order to contend that my theory of meaning is incorrect, Kershnar must draw on intuitions about the existence of meaning that undercut his suggestion that there is no such thing. (shrink)

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

Much of the existing philosophical literature on BDSM focuses on questions about the ethics of BDSM. But there is an underlying question here regarding the nature of BDSM, one which remains largely unaddressed. In this paper, I take that metaphysical question to be prior to the normative one. In other words: it will be important to have a clear view of what BDSM is before we go on to evaluate it. -/- This is a paper about the nature of BDSM (...) and BDSM activities: what they are like, what makes them unique, and the ways in which these activities might be valuable. Here, I work from the philosophical literature on games to analyze structured erotic encounters (or “scenes”) in BDSM. In the first half of the paper, I argue that BDSM scenes are games, and that understanding them in this way yields important insights into the roles of agency, autonomy, and value in BDSM. In the second half of the paper, I map points of connection between this view of scenes-as-games and the existing literature on BDSM in sexual ethics, in order to illuminate the ways in which a moral evaluation of BDSM scenes might proceed from this analysis. (shrink)

Pufendorf makes a clear distinction between the physical constitution of human beings and their value as human beings, stressing that the latter is justified exclusively by the regular use of the free will. According to Pufendorf, the regular use of free will requires certain inventions (divine as well as human) imposed on the free will and called moral entities. He claims that these inventions determine the moral quality of a human being as well as the standards according to which (...) human beings and their actions are able to be judged. This article examines the normative aspects of Pufendorf’s concepts of moral value and moral estimation in regard to the epistemological question of the accessibility of moral entities for human beings. In the first part, it reconstructs Pufendorf’s doctrine of moral entities and the place of moral estimation in this doctrine. In the second part, it presents Pufendorf’s account of the moral philosophy as a science in order to explain his theory of moral normativity as imposed, and the role of a person in regard to the own moral status. In the last part, it illustrates some consequences in regard to the problem of slavery in Pufendorf. (shrink)

In this chapter, I explore the importance of ethics education for senior military officers with responsibilities at the strategic level of government. One problem, as I see it, is that senior commanders might demand “ethics” from their soldiers but then they are themselves primarily informed by a “morally skeptical viewpoint” (in the form of political realism). I argue that ethics are more than a matter of personal behavior alone: the ethical position of an armed service is a matter of the (...) collective responsibility of the people who constitute it, and senior military officers, having authority to give the orders, have a particularly important role. First, I discuss the continued prominence of a neorealist mindset in strategic thinking. Neorealist theory assumes that ethics is a largely irrelevant concern for strategic decision-makers. In contrast, I argue that consideration of moral values should be at the center of strategic theory and practice. Then, in the second section, I explore the “professional ethics” of senior military officers in order to develop an appreciation of the shared values and expectations regarding required conduct within any professional military service. I argue that senior military leaders should be concerned with what it means to be “good” and that this concept of the good can, and should, be applied across cultures and national boundaries. In the final section, I examine armed conflict and briefly discuss the moral reasoning involved to justify deliberate killing and destruction. I conclude that senior military officers require an understanding of sound moral reasoning to implement effective strategy. (shrink)

Di er ci Qimeng (The second Enlightenment), by Wang Zhihe and Fan Meijun, is a timely book in Chinese about constructing a philosophical and practical way to contend with China's postmodernization. It combines Whitehead's process philosophy with a focus on Chinese modernity in order to map out a desirable postmodern society. It addresses the problem on several dimensions from policy making to basic value systems. The range of themes can be seen from the topics of the book's (...) twelve chapters: (1) Reverence for Land—Toward a Constructive Postmodern Agriculture; (2) Becoming Fully Human—Toward a Postmodern Organic Education; (3) Survival of the Harmonious-Toward a Constructive Postmodern Harmonious Culture; (4) Beauty .. (shrink)

Abstract -/- “The Obvious Invisibility of the Relationship Between Technology and Social Values” -/- We all too often assume that technology is the product of objective scientific research. And, we assume that technology’s moral value lies in only the moral character of its user. Yet, in order to objectify technology in a manner that removes it from a moral realm, we rely on the assumption that technology is value neutral, i.e., it is independent of all contexts other (...) than the context in which it is used morally or immorally by someone. However, there is a power to technology. At the very least, technology should be seen as reflecting the values that it rises from: a developmental context. Consequently, we can make the invisible moral realm visible as we investigate the relationship between culture and technology. Pragmatically, we can trace how cultural values inform what counts as a scientific question. When we look at the 1980s epidemiological model for AIDS we see how the presuppositions within a culture frame the type of question asked, i.e. What population do we see AIDS occurring in? This question initially leads scientific research away from actual individual behaviors until a different question is asked that leads the question towards behavioral epidemiological models rather than population models. Secondly, we can make visible the circumstance that depicts that what constitutes a scientific problem has a direct relationship to the types of technologies that are developed. We can more clearly see this circular relationship between culture and technology by looking at clinical research and practice regarding heart disease. Men who were dying of diagnosed heart disease were showing symptoms of problems in large arteries of the heart. Women were also dying of heart disease, but since their large arteries were not overwhelmingly compromised they were not being properly diagnosed until recently. Different technologies and protocol were needed to “see” different symptoms in the smaller vessels of women. Thirdly, I show how the types of technology developed, in turn, can create new values or enhance preexisting values within a culture. DNA research can be used to investigate long, unanswered questions about qualitative dimensions of life in quantitative manners. Yet, long held unanswered questions about a biological basis of race or intelligence are themselves rarely challenged as uninteresting or misguided even when they are tied to prejudicial qualitative assumptions if the chance of a “scientific” answer is possible. When existing technologies or modifications of existing technologies can be used they seem to direct human reactions and behaviors in predictable ways. The technologies themselves may be said to direct culture in ethically valenced manners. (shrink)

Kant famously made a distinction between actions from duty and actions in conformity with duty claiming that only the former are morally worthy. Kant’s argument in support of this thesis is taken to rest on the claim that only the motive of duty leads non-accidentally or reliably to moral actions. However, many critics of Kant have claimed that other motives such as sympathy and benevolence can also lead to moral actions reliably, and that Kant’s thesis is false. In addition, many (...) readers of Kant find the claim that we should deny moral worth to a dutiful action performed from friendly inclination highly counterintuitive. Moreover, Kantian commentators disagree about the status of actions in conformity with duty, some claim that these can be taken as equally morally worthy as those performed from duty, while others argue that they are not even permissible. -/- It has also been claimed that Kant’s theory of moral worth should be related to the theory of the Gesinnung developed in the Religion. Thus, some authors claim that, in order for an action to possess moral worth, the agent has to be unconditionally committed to morality, that is, the agent must possess a virtuous character or good fundamental maxim (i.e. a good Gesinnung). However, according to Kant’s radical evil thesis (that is, the thesis that man is evil by nature ), the default position for man is to possess an evil Gesinnung, i.e. a Gesinnung which is only conditionally committed to morality insofar as morality does not demand a great sacrifice of our own happiness. So, an unwelcome consequence of this line of interpretation is that in Kantian ethics morally worthy actions become very rare indeed. -/- The paper is divided in two parts. The first part aims to clarify why Kant thought that only actions from duty are morally worthy, replying to some common objections against Kant’s view. I argue that Kant’s non-accidental condition should not be understood in terms of reliability because such interpretation is incompatible with Kant’s theory of motivation and rational agency. I propose an alternative interpretation which supports Kant’ s claim that only the motive of duty leads nonaccidently to dutiful actions, and thus only actions from duty possess moral worth. I end by showing that although actions in conformity with duty are worthless from the moral point of view, they are not (in many cases) impermissible. The first part concludes that the criterion for the permissibility of actions is different to the criterion for the ascription of moral worth. Thus, rightness, which pertains to actions performed on maxims that can be willed as universal laws, and moral worth, which pertains to actions performed from a sense of duty, should be understood as two different levels of moral assessment. -/- The second part of the paper examines Kant’s conception of virtue with the aim of showing that although only agents with a virtuous character (good Gesinnung) will reliably act from duty, a person with an evil character (evil Gesinnung) could on frequent occasions act from duty. I argue that we should not deny moral worth to actions performed from duty even when the agent has an evil Gesinnung. Goodness of Gesinnung is not a necessary condition of the action of an agent possessing moral worth; reliability of motivation is necessary for the ascription of virtue but not for the ascription of moral worth. It follows that virtue, which refers to the agent’s character or fundamental maxim (i.e. the agent’s Gesinnung), and moral worth are also two different levels of moral assessment. The paper concludes that three levels of moral assessment can be distinguished in Kant’s ethical system: (i) rightness, (ii) moral worth and (iii) moral virtue. Moral virtue is the highest level of moral perfection for a human being. Striving towards virtue requires constant progress and effort and ultimately a ‘revolution of the heart.’ The important point is that even when we are still striving to achieve virtue (i.e. an unconditional commitment to morality), we can ascribe moral worth to actions performed by a genuine sense of duty. It turns out that, contrary to many influential interpretations, Kantian ethics is not merely concerned with the rightness or wrongness of particular actions nor is Kantian ethics primarily an ethic of virtue. Instead, Kant’s ethical system is complex and allows for different levels of moral assessment in which both an action-centred and agent-centred perspective can be integrated. (shrink)

The main research question that this paper aims to answer is: ‘In what does today’s attack on humanities consist and how can humanities be defended?’ In order to answer this research question, one needs first to describe how the humanities have argued for their usefulness before the Bologna Process; second, provide reasons for the claim that the Bologna Process would be a new type of attack; and third, analyse the new defences for the humanities, so as to discuss (...) whether these are suitable. The main finding of this study was to show that, before deciding what type of education society needs, we need to understand who we are educating through our universities. Taking a stance on “who should we educate?” is prior to being able to judge educational policies. This decision requires a previous justification that requires arguments taken from the field of social justice: Who needs to be educated and who has the right to be educated? Furthermore, we have seen that all answers we have examined to the question underlying educational policies, i.e. ‘who is being educated?’, were linked at some level with the citizenship issue. By defining who is a full citizen, an answer to the question who had the right to a humanistic education was implicitly answered. Nussbaum’s project to universalise the definition of democratic citizenship would ensure a basis for providing humanistic education for all. Such a line of arguing would provide humanities to the well-regarded status they had starting from the Renaissance times, but this time not as a device for exclusion, but inclusion for all. We have tried to show that, by defending the humanities, one defends the idea of a plurality of educational purposes, the right to build one’s life based on an education that is not submitted to the political goals of the day, ultimately the right to have a dissenting voice and a different perspective on life. By defending humanities, one defends the true ‘usefulness’ of education, namely its potential for constructing democratic citizenship for all. (shrink)

In the recent literature, it has been shown that the wave function in the de Broglie–Bohm theory can be regarded as a new kind of field, i.e., a "multi-field", in three-dimensional space. In this paper, I argue that the natural framework for the multi-field is the original second-order Bohm’s theory. In this context, it is possible: i) to construe the multi-field as a real-valued scalar field; ii) to explain the physical interaction between the multi-field and the Bohmian particles; (...) and iii) to clarify the status of the energy-momentum conservation and the dynamics of the theory. (shrink)

Many philosophers have claimed that evidence for a theory is better when multiple independent tests yield the same result, i.e., when experimental results are robust. Little has been said about the grounds on which such a claim rests, however. The present essay presents an analysis of the evidential value of robustness that rests on the fallibility of assumptions about the reliability of testing procedures and a distinction between the strength of evidence and the security of an evidence claim. Robustness (...) can enhance the security of an evidence claim either by providing what I call second-order evidence, or by providing back-up evidence for a hypothesis. (shrink)

A second-order conspiracy (SOC) is a conspiracy that aims to create (and typically also disseminate) a conspiracy theory. Second-order conspiracy theories (SOCT) are theories that explain the occurrence of a given conspiracy theory by appeal to a conspiracy. In this paper I argue that SOC and SOCT are useful and coherent concepts, while also having numerous philosophically interesting upshots (in terms of epistemology, explanation, and prediction). Secondly, I appeal to the nature of two specific kinds of (...) second-order conspiracies to make the case for what has been called ‘local generalism’ (Stamatiadis-Bréhier 2023a). Specifically, I focus on so-called ‘denial industries’ to argue that the structure of these second-order conspiracies allows us to infer non-accidental generalisations about the domain of conspiracy theories. Even though it is true that there is nothing epistemically problematic with the general class of conspiracy theories, there are specific subsets of conspiracy theories that warrant immediate strong suspicion (cf. Dentith 2022). By looking at the intricate mechanisms by which these denial industries operate, we can infer that the conspiracy theories that are produced by them are epistemically unwarranted. I conclude by making some exploratory remarks about what the metaphysics of second-order conspiracies would look like. (shrink)

Drawing an analogy between modal structuralism about mathematics and theism, I o er a structuralist account that implicitly de nes theism in terms of three basic relations: logical and metaphysical priority, and epis- temic superiority. On this view, statements like `God is omniscient' have a hypothetical and a categorical component. The hypothetical component provides a translation pattern according to which statements in theistic language are converted into statements of second-order modal logic. The categorical component asserts the logical possibility (...) of the theism struc- ture on the basis of uncontroversial facts about the physical world. This structuralist reading of theism preserves objective truth-values for theistic statements while remaining neutral on the question of ontology. Thus, it o ers a way of understanding theism to which a naturalist cannot object, and it accommodates the fact that religious belief, for many theists, is an essentially relational matter. (shrink)

“Second-order Logic” in Anderson, C.A. and Zeleny, M., Eds. Logic, Meaning, and Computation: Essays in Memory of Alonzo Church. Dordrecht: Kluwer, 2001. Pp. 61–76. -/- Abstract. This expository article focuses on the fundamental differences between second- order logic and first-order logic. It is written entirely in ordinary English without logical symbols. It employs second-order propositions and second-order reasoning in a natural way to illustrate the fact that second-order logic is (...) actually a familiar part of our traditional intuitive logical framework and that it is not an artificial formalism created by specialists for technical purposes. To illustrate some of the main relationships between second-order logic and first-order logic, this paper introduces basic logic, a kind of zero-order logic, which is more rudimentary than first-order and which is transcended by first-order in the same way that first-order is transcended by second-order. The heuristic effectiveness and the historical importance of second-order logic are reviewed in the context of the contemporary debate over the legitimacy of second-order logic. Rejection of second-order logic is viewed as radical: an incipient paradigm shift involving radical repudiation of a part of our scientific tradition, a tradition that is defended by classical logicians. But it is also viewed as reactionary: as being analogous to the reactionary repudiation of symbolic logic by supporters of “Aristotelian” traditional logic. But even if “genuine” logic comes to be regarded as excluding second-order reasoning, which seems less likely today than fifty years ago, its effectiveness as a heuristic instrument will remain and its importance for understanding the history of logic and mathematics will not be diminished. Second-order logic may someday be gone, but it will never be forgotten. Technical formalisms have been avoided entirely in an effort to reach a wide audience, but every effort has been made to limit the inevitable sacrifice of rigor. People who do not know second-order logic cannot understand the modern debate over its legitimacy and they are cut-off from the heuristic advantages of second-order logic. And, what may be worse, they are cut-off from an understanding of the history of logic and thus are constrained to have distorted views of the nature of the subject. As Aristotle first said, we do not understand a discipline until we have seen its development. It is a truism that a person's conceptions of what a discipline is and of what it can become are predicated on their conception of what it has been. (shrink)

This essay examines the philosophical significance of $\Omega$-logic in Zermelo-Fraenkel set theory with choice (ZFC). The categorical duality between coalgebra and algebra permits Boolean-valued algebraic models of ZFC to be interpreted as coalgebras. The hyperintensional profile of $\Omega$-logical validity can then be countenanced within a coalgebraic logic. I argue that the philosophical significance of the foregoing is two-fold. First, because the epistemic and modal and hyperintensional profiles of $\Omega$-logical validity correspond to those of second-order logical consequence, $\Omega$-logical validity (...) is genuinely logical. Second, the foregoing provides a hyperintensional account of the interpretation of mathematical and metamathematical vocabulary. (shrink)

Science communication via testimony requires a certain level of trust. But in the context of ideologically-entangled scientific issues, trust is in short supply—particularly when the issues are politically ‘entangled’. In such cases, cultural values are better predictors than scientific literacy for whether agents trust the publicly-directed claims of the scientific community. In this paper, we argue that a common way of thinking about scientific literacy—as knowledge of particular scientific facts or concepts—ought to give way to a second-order understanding (...) of science as a process as a more important notion for the public’s trust of science. (shrink)

Humans have distinctive powers of reflection: no other animal seems to have anything like our capacity for self-examination. Many philosophers hold that this capacity has a uniquely important guiding role in our cognition; others, notably Hilary Kornblith, draw attention to its weaknesses. Kornblith chiefly aims to dispel the sense that there is anything ‘magical’ about second-order mental states, situating them in the same causal net as ordinary first-order mental states. But elsewhere he goes further, suggesting that there (...) is something deeply misleading about reflection’s first-person view of cognition. This chapter takes a closer look at the conditions under which reflection is misleading. Even if humans are the only reflective animals, we are no longer the only creatures that can be questioned about their claims. Chatbots can also be asked to explain themselves, and by studying the conditions under which they produce clarification as opposed to confabulation, we can develop a non-skeptical account of the epistemic value of reflection. I argue that this capacity naturally supports the distribution of complex problem solving among multiple agents. (shrink)

A normative reason for a person to? is a consideration which favours?ing. A motivating reason is a reason for which or on the basis of which a person?s. This paper explores a connection between normative and motivating reasons. More specifically, it explores the idea that there are second-order normative reasons to? for or on the basis of certain first-order normative reasons. In this paper, I challenge the view that there are second-order reasons so understood. I (...) then show that prominent views in contemporary epistemology are committed to the existence of second-order reasons, specifically, views about the epistemic norms governing practical reasoning and about the role of higher-order evidence. If there are no second-order reasons, those views are mistaken. (shrink)

In the language of second-order logic, first- and second-order variables are distinguished syntactically and cannot be grammatically substituted. According to a prominent argument for the deployment of these languages, these substitution failures are necessary to block the derivation of paradoxes that result from attempts to generalize over predicate interpretations. I first examine previous approaches which interpret second-order sentences using expressions of natural language and argue that these approaches undermine these syntactic restrictions. I then examine (...) Williamson’s primitivist approach according to which second-order sentences are not offered readings in a previously understood language. I argue that the syntactic restrictions alone do not block the derivation of the paradox, unless they are backed by a principled reason that the language cannot be expanded to allow the grammatical substitution of first- and second- order variables. I argue that there is neither a syntactic nor a semantic principle that prohibits such an expansion. (shrink)

According to the standard interpretation of Einstein’s field equations, gravity consists of mass-energy curving spacetime, and an additional physical force or entity—denoted by Λ (the ‘cosmological constant’)—is responsible for the Universe’s metric-expansion. Although General Relativity’s direct predictions have been systematically confirmed, the dominant cosmological model thought to follow from it—the ΛCDM (Lambda cold dark matter) model of the Universe’s history and composition—faces considerable challenges, including various observational anomalies and experimental failures to detect dark matter, dark energy, or inflation-field candidates. This (...) paper shows that Einstein’s Equivalence Principle entails two possible physical interpretations of General Relativity’s field equations. Although the field equations facially appear to support the standard interpretation—that gravity consists of mass-energy curving spacetime—the field equations can be equivalently understood as holding that gravitational effects instead result from mass-energy accelerating the metric-expansion of a second-order spacetime fabric superimposed upon an absolute, first-order Euclidean space, resulting in the observational appearance of spacetime curvature. This alternative interpretation of relativity is shown to be empirically equivalent to the standard interpretation of relativity, albeit with a changing value for Λ (which is similar to how Λ is understood in the conception of Λ as ‘quintessence’, but in this case takes Λ to be gravity). The reconceptualization is then shown to potentially resolve major observational anomalies for the ΛCDM model, including recent observations conflicting with ΛCDM predictions, as well as failures to directly detect dark matter, dark energy, and inflation field/particle candidates. (shrink)

During the last few years, burnout has gained more and more attention for its strong connection with job performance, absenteeism, and presenteeism. It is a psychological phenomenon that depends on occupation, also presenting differences between sexes. However, to properly compare the burnout levels of different groups, a psychometric instrument with adequate validity evidence should be selected (i.e., with measurement invariance). This paper aims to describe the psychometric properties of the Oldenburg Burnout Inventory (OLBI) version adapted for workers from Brazil and (...) Portugal, and to compare burnout across countries and sexes. OLBI's validity evidence based on the internal structure (dimensionality, reliability, and measurement invariance), and validity evidence based on relationships with other variables (work engagement) are described. Additionally, it aims presents a revision of different OLBI's versions—since this is the first version of the instrument developed simultaneously for both countries—it is an important instrument for understanding burnout between sexes in organizations. Data were used from 1,172 employees across two independent samples, one from Portugal and the other from Brazil, 65 percent being female. Regarding the OLBI internal structure, a reduced version (15 items) was obtained. The high correlation between disengagement and exhaustion, suggested the existence of a second-order latent factor, burnout, which presented measurement invariance for country and sex. Confirmatory factor analysis of the Portuguese OLBI version presented good goodness-of-fit indices and good internal consistency values. No statistically significant differences were found in burnout between sexes or countries. OLBI also showed psychometric properties that make it a promising and freely available instrument to measure and compare burnout levels of Portuguese and Brazilian employees. (shrink)

Introduction -- What is personal responsibility? -- Ordinary language -- Common conceptions -- What do philosophers mean by responsibility? -- Personally responsible for what? -- What do philosophers think? part I -- Causes -- Capacity -- Control -- Choice versus brute luck -- Second-order attitudes -- Equality of opportunity -- Deservingness -- Reasonableness -- Reciprocity -- Equal shares -- Combining criteria -- What do philosophers think? part II -- Utility -- Self-respect -- Autonomy -- Human flourishing -- Natural (...) duties and special obligations -- A matter of perspectives -- Combining values -- What do politicians think? -- A brief typology -- International comparisons -- Welfare reform -- Healthcare reform -- Rights and responsibilities -- On the responsibilities of politicians -- What do ordinary people think? -- Why ask? -- Attitudes to welfare claimants -- When push comes to shove -- Perceptions and reality -- Further international comparisons -- The trouble with opinion surveys -- Four contemporary issues in focus -- Unemployment -- Health -- Drug abuse -- Personal debt and financial rewards -- So how do we decide? -- Getting the public involved -- Citizens juries -- Answering some potential criticisms. (shrink)

Expert knowledge regularly informs personal and civic-decision making. To decide which experts to trust, lay publics —including policymakers and experts from other domains—use different epistemic and non-epistemic cues. Epistemic cues such as honesty, like when experts are forthcoming about conflicts of interest, are a popular way of understanding how people evaluate and decide which experts to trust. However, many other epistemic cues, like the evidence supporting information from experts, are inaccessible to lay publics. Therefore, lay publics simultaneously use second- (...) class='Hi'>order social cues in their environment to inform decisions to trust. These second-order social cues, or ‘social indicators of trust’, prevent lay publics from having to trust blindly. Social indicators of trust therefore inform lay publics’ epistemic vigilance, or constant low level-monitoring of testimony from experts. This special issue examines the nature, acquisition and application of social indicators of trust for scientific experts and institutions. It also raises questions about the types of trust asked of lay publics and challenges traditional normative assumptions about the relationship between science and lay publics through study of attitudes, values, and experiences. The issue descriptively re-examines the structure of institutions, their role and methods for ferrying information, as well as how social indicators operate in times of crisis. In this collection of works, we bridge history, science, philosophy of science, science and technology studies, science communication and social epistemology, to broaden the discourse on trust in experts and more accurately reflect the imperfect yet indispensable endeavour that trusting is. (shrink)

The problem considered in this chapter emerges from the tension we find when looking at the design and architecture of chatbots on the one hand and their conversational aptitude on the other. In the way that LLM chatbots are designed and built, we have good reason to suppose they don't possess second-order capacities such as intention, belief or knowledge. Yet theories of conversation make great use of second-order capacities of speakers and their audiences to explain how (...) aspects of interaction succeed. As we can all bear witness to now though, at the point of use chatbots appear capable of performing language tasks at a level close to that of humans. This creates a tension when we consider something like, for example, the classic Gricean theory of implicature. On a broad summary of this type of account, to utter p and implicate q requires the reflexive occurrence of an audience supposing a speaker believes that q, and the speaker believing that their audience can determine they believe it when they utter p. So taken at face value, if a chatbot doesn’t have the capacity for belief, then either in their role as speaker or audience, they would not seem capable of either generating or comprehending implicatures. Yet on the surface it does seem that chatbots are capable of dealing with (some) implicatures, and as such it raises questions about how we should then correlate this with what we think occurs in cases of implicature with chatbots. (shrink)

Besides the general agreement about the human capability of reflection, there is a large area of disagreement and debate about the nature and value of “reflective scrutiny” and the role of “second-order states” in everyday life. This problem has been discussed in a vast and heterogeneous literature about topics such as epistemic injustice, epistemic norms, agency, understanding, meta-cognition etc. However, there is not yet any extensive and interdisciplinary work, specifically focused on the topic of the epistemic (...) class='Hi'>value of reflection. This volume is one of the first attempts aimed at providing an innovative contribution, an exchange between philosophy, epistemology and psychology about the place and value of reflection in everyday life. -/- Our goal in the next sections is not to offer an exhaustive overview of recent work on epistemic reflection, nor to mimic all of the contributions made by the chapters in this volume. We will try to highlight some topics that have motivated a new resumption of this field and, with that, drawing on chapters from this volume where relevant. -/- Two elements defined the scope and content of this volume, on the one hand, the crucial contribution of Ernest Sosa, whose works provide original and thought-provoking contributions to contemporary epistemology in setting a new direction for old dilemmas about the nature and value of knowledge, giving a central place to reflection. On the other hand, the recent developments of cultural psychology, in the version of the “Aalborg approach”, reconsider the object and scope of psychological sciences, stressing that “[h]uman conduct is purposeful”. (shrink)

This paper aims to suggest a new approach to Plato’s theory of being in Republic V and Sophist based on the notion of difference and the being of a copy. To understand Plato’s ontology in these two dialogues we are going to suggest a theory we call Pollachos Esti; a name we took from Aristotle’s pollachos legetai both to remind the similarities of the two structures and to reach a consistent view of Plato’s ontology. Based on this theory, when Plato (...) says that something both is and is not, he is applying difference on being which is interpreted here as saying, borrowing Aristotle’s terminology, 'is is (esti) in different senses'. I hope this paper can show how Pollachos Esti can bring forth not only a new approach to Plato’s ontology in Sophist and Republic but also a different approach to being in general. -/- Keywords Plato; being; difference; image; pollachos esti; pollachos legetai 1. Being, Not-Being and Difference The three dialogues where the notion of "difference" attaches to the notion of being, namely Parmenides II, Sophist and Timaeus,and specifically the first two we try to discuss here. In these dialogues, Plato is going to achieve a new and revolutionary understanding of being which is not anymore based on the notion of "same" as it was before in Greek ontology. It was his discovery, I think, that the notion of being in the Greek ontology is attached to the notion of the "same" and it is because of this attachment that there have always been many problems understanding being especially after Parmenides. That being has always been relying on the "same" can be found out from the way most of the Presocratics understood it. It was based on such a relationship between being and "same" that a later Ionian, Heraclitus of Ephesus, rejected Being by rejecting its sameness: unable to be the same, being cannot be being anymore but becoming. Heraclitus’ criticism of his predecessors’ understanding of being was due to his discovery that what they call being is not the same but different in every moment. The relation of being and sameness reaches to its highest point in Parmenides. What Plato does in using the "difference" is nothing but the establishment of a creative relation between being and "difference". In this new relation, although he is in agreement with Heraclitus that being is not the same but different, he does not do it by use of becoming. He disagrees, on the other hand, with Parmenides that such a relation between being and difference leads to not being. At Parmenides 142b5-6 it is said that if One is, it is not possible for it to be without partaking (μετέχειν) of being (οὐσίας), which leads to the distinction of being and one: -/- So there would be also the being of the one (ἡ οὐσία του̑ ἑνὸς) which is not the same (ταὐτὸν) as the one. Otherwise, it wouldn’t be its being, nor the one would partake of it. (142b7-c1) -/- The fact that what is (ἔστι) signifies (σημαῖνον) is other (ἀλλο) than what One signifies (c4-5), is being taken as a reason for their distinction. The conclusion is that when we say 'one is', we speak of two different things, one partaking of the other (c5-7). Having repeated these arguments of the otherness of being and one at 143a-b, Parmenides says that the cause of this otherness can be neither Being nor One but "difference": -/- So if being is something different (ἕτερον) and one something different (ἕτερον), it is not by being one that the one is different from being nor by its being being that being is other than one, but they are different from each other (ἕτερα ἀλλήλων) by difference (τῷ ἑτερῳ) and otherness (ἄλλῳ). (143b3-6) -/- The fifth hypothesis, 'one is not' (160b5ff.) is also linked with the notion of difference. When we say about two things, largeness and smallness, that they are not, it is clear that we are talking about not being of different (ἕτερον) things (160c2-4). When it is said that something is not, besides the fact that there must be knowledge of that thing, we can say that it entails also its difference: 'difference in kind pertains to it in addition to knowledge' (160d8). Parmenides explains the reason as such: -/- For someone doesn’t speak of the difference in kind of the others when he says that the one is different from the others, but of that thing’s own difference in kind. (160e1-2) -/- Although the theory of being as "difference" is not fulfilled yet, an exact look at what occurs in Sophist can make us sure that this was the launching step for "difference" to get its deserved role in Plato’s ontology. The notion of the "difference" is not yet well-functioned in Parmenides because we can see that being is still attached to the same: -/- For that which is the same is being (ὄν γὰρ ἐστι τὸ ταὐτόν) (162d2-3). -/- The notion of difference in Sophist is the key element based on which a new understanding of being is presented and the problem of not being is somehow resolved. The friends of Forms, the Stranger says, are those who distinguish between being and becoming (248a7-8) and believe that we deal with the latter with our body and through perception while with the former, the real being (ὄντως οὐσίαν) with our soul and through reasoning (a10-11). Being is then bound with the "same" by adding: -/- You say that being always stays the same and in the same state (ἣν ἀεὶ κατὰ ταὐτὰ ὡσαύτως ἔχειν) but becoming varies from one time to another (δὲ ἄλλοτε ἄλλως). (248a12-13) -/- That the theory of the relation of being and capacity (247d8f., 248c4-5) matches more with becoming than with being (248c7-9) must be rejected because being is also the subject of knowledge which is kind of doing something (248d-e). It does, however, confirm that 'both that which changes and also change have to be admitted as existing things (ὄντα) (249b2-3). I believe that this is what Socrates would incline to do at Theaetetus 180e-181a, that is, putting a fight between two parties of Parmenidean being and Heraclitean becoming and then escaping. The solution is that becoming is itself a kind of being and we ought to accept what changes as being. This is what must be done by a philosopher, namely, to refuse both the claim that 'everything is at rest' and that 'being changes in every way' and beg, like a child, for both and say being (τὸὄν) is both the unchanging and that which changes (249c10-d4). This kind of begging for both is obviously under the attack of contradiction (249e-250b). For both and each of rest and change similarly are (250a11-12) but it cannot be said either that both of them change or both of them rest, being must be considered as a third thing both of the rest and change associate with (250b7-10). The conclusion is that 'being is not both change and rest but different (ἕτερον) from them instead' (c3-4). The notion of difference helps Plato to take being departed from both rest and change because it was their sophisticated relation with being that made the opposition of being and becoming. Plato is now trying to separate being from rest and, thus, from "same" by "difference". Such a crucial change is great enough to need a 'fearless' decision (256d5-6). The possibility of being of not being is resulted (d11-12) comes as the answer to the question 'so it’s clear that change is not being and also is being (ἡ κίνησις ὄντως οὐκ ὄν ἐστι καὶ ὄν) since it partakes in being?' (d8-9). It is then by the notion of difference that becoming is considered as that which both is and is not. This coincidence of being and not being about change is apparently similar to Socrates’ paradoxical statement at Republic 477a about what both is and is not. -/- Introduction The Republic 476-477 has always been a matter of controversy mainly about two interwoven points. The first problem is the meaning of being here; that whether what he has in mind is a veridical, existential or propositional sense of being. The second problem is his distinction between the objects of knowledge and opinion which seems to lead, some believe, to the Two Worlds (TW) theory. The crucial point in Republic is that what is considered between knowledge (ἐπιστήμης) and ignorance (α͗γνοιας), namely opinion, must have a different object that leads Socrates to draw the distinction of knowledge and opinion between their objects. The problem of understanding being in the fifth book of the Republic is that when it is said that the Form of F is F but a particular participating in F, both is and is not F, it sounds too bizarre and unacceptable. It cannot be imaginable how a thing can be existent and non-existent at the same time. At the first sight, the only solution seems to be the degrees of existence which is called by Annas (1981, 197) a 'childish fallacy' and a 'silly argument'. Kirwan (1974, 118) thinks that Republic V does not attribute 'any doctrine about existence' to Plato and Kahn (1966, 250) claims that the most fundamental value of einai when used alone (without predicate) is not "to exist" but "to be so", "to be the case" or "to be true". The problems of understanding being in Republic and Sophist besides the difficulties of the existential reading led scholars to the other senses of being, mostly related to the well-known Aristotelian distinctions between different senses of being. In the predicative reading, Annas, for example, refers this difference to the qualified and unqualified application. Whereas the Form of F is unqualifiedly F, a particular instance of F can be F only qualifiedly (1981, 221). Vlastos’ well-known substitution of 'degrees of reality' for 'degrees of being/existence' must be categorized as a predicative reading. Kahn thinks that the basic sense of being for Plato is 'something like propositional structure, involving both predication and truth claims, together with existence for the subject of predication' (2013, 96). Believing that the complete-incomplete distinction terminology is misleading about Plato, he thinks that semantic functions are only second-order uses of the verb and it is the predicative or incomplete function which is fundamental. Suggesting a veridical reading, Fine (2003, 70 ff) thinks that while both existential and predicative readings separate the objects of knowledge and belief, it is only her reading which does not force such separation of the objects and thus does not imply TW. Stokes (1998, 266) thinks that though Fine is right saying that Plato does not endorse TW in book V, she is wrong in rejecting existential in favor of the veridical reading. The reception of existential reading can be seen more obviously in Calvert who thinks, in agreement with Runciman, that 'it would be safer to say that Plato’s gradational ontology is probably not entirely free from degrees of existence' (1970, 46). At Sophist 254d-e Plato singles out five most important kinds (or Forms!?) in which the same (ταὐτὸν) and difference (θάτερον) are regarded besides being, rest and change. They are, therefore, neither the same nor the difference but share in both (b3). Being (τὸ ὄν) cannot be the same also because if they 'do not signify distinct things' both change and rest will have the same label when we say they are (255b11-c1). We have then four distinct kinds, being, change, rest and same, none of them is the other. The case of difference is more complicated. When the stranger wants to assess the relation of being and difference, he can say simply neither that they are distinct nor that they are not. He has to make an important distinction inside being to get able to draw the relation of being and difference: -/- But I think you'll admit that some of the things that are (τῶν ὄντων) are said (λέγεσθαι) by themselves (αὐτὰ καθ’ αὑτά) but some [are said] always referring to (πρὸς) other things (ἄλλα) (255b12-13) -/- The difference is always said referring to other things (τὸδέγ’ ἕτερον ἀεὶ πρὸς ἕτερον) (255d1). It pervades all kinds because each of them should be different from the others and is so due to the difference and not its own nature (253e3f.) After asserting that change is different from being and therefore both is and is not (256d), the difference is described as what makes all the other kinds not be, by making each different from being. Given that all of them are by being, this association of being and difference is the cause of their being and not-being at the same time, the issue that its version at RepublicV made all those controversies we discussed above: -/- So in the case of change and all the kinds, not being necessarily is (Ἔστιν ἄρα ἐξ ἀναγκης τὸ μὴ ὄν). Τhat’s because as applied to all of them, the nature of the difference (ἡ θατέρον φύσις) makes each of them not be by making it different from being. And we’re going to be right if we say that all of them are not in the same way. And conversely [we’re also going to be right if we say] that they are because they partake in being. (Sophist 256d11-e3) -/- Plato’s new construction of five distinct kinds and the role he gives to thedifference among them is aimed to resolve the old problem of understanding being which has always been annoying from the time of Heraclitus and Parmenides. Both the ontological status of becoming and that of not being were, in Plato’s mind, based on the absolute domination of the notion of the Same over being. Now, not only becoming is understandable as being but also not being which is not the contrary of being anymore but only different (ἕτερον) (257b3-4). Though I agree partly with Frede that the account of not being which is needed for false statements is more complicated than just saying, as Cropsey (1995, 101) says, that Plato is substituting 'X is not Y' with 'X is different from Y', I totally disagree with him that when we say X is not beautiful, Plato could not have thought that it is not a matter of its being different from beautiful because 'it would be different from beauty even if it were beautiful by participation in beauty' (1992, 411). Conversely, as we will discuss, it is exactly the relation of the beautiful thing, X, and the beautiful itself, in which X shares that is to be solved by the notion of not being as difference. Though it is beautiful because of sharing in beauty, X is not beautiful because it is different from beautiful itself. What the difference is to do is to show how something can both be and not be the same thing. The difference is what makes one thing both be and not be a certain other thing. This equips the difference with the ability to explain a certain thing’s not-being when it is. Thanks to the notion of difference, it is now possible to explain not only not being but also the simultaneous being and not being of a thing: 'What we call "not-beautiful" is the thing that ἕτερόν ἐστιν from nothing other than του̑ καλου̑ φύσεως' (257d10-11). The result is that not beautiful happens to be (συμβέβηκεν εἶναι) one single thing among kinds of beings (τι τῶν ὄντων τινὸς ἑνὸς γένους) and at the same time set over against one of the beings (πρός τι τῶν ὄντων αὖ πάλιν ἀντιτεθὲν) (257e2-4) and thus be something that happens to be not beautiful (εἶναί τις συμβαίνει τὸ μὴ καλόν); a being set over against being (ὄντος δὴ πρὸς ὄν ἀντίθεσις) (e6-7). Neither the beautiful is more a being (μα̑λλον ... ἐστι τῶν ὄντων) nor not beautiful less (e9-10) and thus both the contraries similarly are (ὁμοίως εἶναι) (258a1). This conclusion, it is emphasized again (a7-9), owes to θατέρου φύσις now turned out as being. Therefore, each of the many things that are of the nature of the difference and set over each other in being (τῆς τοῦ ὄντος πρὸς ἄλληλα ἀντικειμένων ἀντίθεσις) is being as being itself is being (αὐτοῦ τοῦὄν τοςοὐσία ἐστιν) and not less. They are different from, and not the contrary of, each other (a11-b3). This is exactly τὸμὴὄν, the subject of the inquiry (b6-7). Hence, not being has its own nature (b10) and is one εἶδοςamong the many things that are (b9-c3). Such far departing from Parmenides’ ontological principle is done on the basis of the nature of the difference. It was the discovery of such a notion that made the stranger brave enough to say that not being is each part of the nature of the difference that is set over against being (258d7-e3, cf. 260b7-8). That the relation of being and difference is difference is the key element of the new ontology. The difference is, only because of its sharing in being, but it is not that which it shares in but different from it (259a6-8). Not being is exactly based on this difference: ἕτερον δὲ τοῦ ὄντος ὄν ἔστι σαφέστατα ἐξ ἀνάγκης εἶναι μὴ ὄν (a8-b1). 2. Difference and the Being of a Copy We discussed above that the sense of being of particulars in Republic V made so many debates that whether being is there used in an existential sense or not. Particulars in Republic are regarded as images in the allegories of Line and Cave. The being of an image/copy makes, thus, the same problem. Plato’s analogy of original -copy for the relation of Forms and their particulars in Republic has obviously a different attitude to being. The main question is that what is the ontological status of a copy in respect of its original? Are there two kinds of being, 'real being' versus 'being' as Ketchum says (1980, 140) or only one kind? What is the difference of being in an original and its copy? Is it a matter of degrees of being or reality as some commentators have suggested? Is it a matter of being relational? By reducing the ontological issue to an epistemological one, Vlastos’ suggestion of degrees of reality in an article with the same name does neither, I think, pay attention to the problem nor resolve it. He agrees that Plato never speaks of "degrees" or "grades" of reality (1998, 219). What allows him to entitle it as such are some of Plato’s words in Republic as well as Plato’s words in some other dialogues (1998, 219). When Plato states that the Forms only can completely, purely or perfectly be real he means, Vlastos says, they are cognitively reliable (1998, 229); an obvious reduction of the issue to an epistemological one. He thinks that when in Republic we are being said that a particular’s being F is less pure than its Form, it is because it is not exclusively F, but it is and is not F and this being adulterated by contrary characters is the reason of our confused and uncertain understanding of it (1998, 222). Ketchum rightly criticizes Vlastos’ doctrine in its disparting from ontology thinking that 'to understand Plato’s talk of being as talk of reality is to obscure the close relation that exists between "being" and the verb "to be"' (1980, 213). He thinks, therefore, that οὐσία must be understοοd as being rather than reality, τὸὄν as "that which is" and not "that which is real" and … (ibid). His conclusion is that degrees of reality cannot interpret Plato correctly and we must accept degrees of being. Allen believes that a 'purely epistemic' reading of the passage in Republic is patently at odds with Plato’s text (1961, 325). He thinks that not only degrees of reality but also degrees of reality must be maintained (1998, 67). What Cooper suggests gets close to this paper’s solution: -/- Plato does not I think wish to suggest that existence is a matter of degree in the way in which being pleasant or painful is a matter of degree. Rather there are different grades of ontological status. (1986, 241) -/- A more ontological solution for the problem of understanding the being of a copy and its relation with the being of its original is suggested by the theory of copy as a relational entity. Based on this interpretation, 'the very being of a reflection is relational, wholly dependent upon what is other than itself: the original…' (Allen, 1998, 62). As relational entities, particulars have no independent ontological status; they are purely relational entities which derive their whole character and existence from Forms (ibid, 67). Although these relational entities are and have a kind of existence, we must also say that 'they do not have existence in the way that Forms, things which are fully real, do' (ibid). Allen (1961, 331) extends his theory to Phaedo where it is said that particulars are deficient (74d5-7, 75a2-3, 75b4-8), 'wish' to be like (74d10) or desire to be of its nature (75a2); an extension that, like F.C. white (1977, 200), I cannot admit. He correctly states that Plato did not start out with a doctrine of particulars as images and semblances but come to such a view after Phaedo, or perhaps after Republic V (1977, 202). Though we may not agree with him about Republic V, if we have to consider its last pages also, we must agree with him that not only the ontology of Phaedo but also that of Republic II-V (except the last pages of the latter book) are somehow different from (but at the same time appealing to) the ontology of original-copy which should exclusively assign to Sophist, Timaeus and RepublicVI-VII besides the last pages of book V. The answer to the problem of Plato’s sense of being in RepublicV can be reached only if we read Republic V based on and as following Sophist. We can find out his meaning of that which both is and is not only by the ontological status he assigns to a copy in Sophist. The kind of being of a copy in Sophist reveals as Plato’s key for the lock of the problem of not being. Let’s see how the ontological status of a copy is the critical point of Plato’s ontology. In the earlier pages of Sophist, we are still in the same situation about not being. To think that that which is not is is called a rash assumption (237a3-4) and Parmenides’ principle of the impossibility of being of not being is still at work (a8-9). At 237c1-4, the problem of "not being" is noticed in a new way which shows some kinds of a more realistic position to the problem of not being. Nevertheless, not being is still unthinkable, unsayable, unutterable and unformulable in speech (238c10). Soon after mentioning that it is difficult even to refuse not being (238d), the solution to the problem appears: the being of a copy (εἴδωλον) (239d). A copy is, says Theaetetus, something that is made referring to a true thing (πρὸς τἀληθινὸν) but still is 'another such thing (ἕτεροντοιου̑τον)' (240a8). Nevertheless, this 'another such thing' cannot be another such real or true thing. In answer to the question of the Stranger that if this 'another such thing' is the true thing (240a9), Theaetetus answers: οὐδαμῶς ἀληθινόν γε, ἀλλ’ ἐοικὸςμὲν (240b2). A copy’s being 'another such thing' does not mean another true thing but only a resemblance of it. Not only is not a copy another true thing besides the original, but it is the opposite of the true thing (b5) because only its original is the thing genuinely and being a copy is being the thing only untruly. The word ἐοικὸς is opposed to ὄντως ὄν in the next line (240b7): 'So you are saying that that which is like (ἐοικὸς) is not really that which is (οὐκ ὄντως [οὐκ] ὄν)'. But still a copy 'is in a way (ἔστι γε μήν πως)' (b9). While it is not really what it is its resemblance, it has its own being and reality because it really is a likeness (εἰκων ὄντως) (b11). The Stranger asks: -/- So it is not really what is (οὐκ ὄν ἄρα [οὐκ] ὄντως ἐστὶν) but it really is what we call a likeness (ὄντως ἣν λέγομεν εἰκόνα)? (b12-13) -/- This is Plato’s innovative ontological solution to the problem of not being. Theaetetus’ answer confirms this: 'Maybe that which is not is woven together with that which is' (c1-2). Therefore, a copy neither is what really is nor is not-being but only is what in a way is. Thanks to the ontological status of a copy, the third status intermediate between being and not being is brought forth. The essence of an image, in Kohnke’s words, does not consist 'solely in the negation of what is genuine and has real being' because otherwise 'it would be an ὄντως οὐκ ὄν,essentially and really a not being' (1957, 37). The characteristics of a copy can be summed up as folows: i) A copy is a copy by referring to a true thing (πρὸς τἀληθινὸν). ii) A copy is different from that of which it is a copy (ἕτερον). iii) A copy is not itself a true thing (ἀληθινόν) as that of which it is a copy but only that which is like it (ἐοικὸς). iv) It is not really that which really is (ὄντως ὄν) but only really a likeness (εἰκων ὄντως). The conclusion is that: v) A copy in a way (πως) is that means it both is and in not, the product of interweaving being with not being. This leads to the refutation of father Parmenides’ principle, accepting that 'that which is not somehow is (τό τε μὴ ὄν ὡς ἔστι)' and 'that which is, somehow is not (τό ὄν ὡς οὐκ ἔστι) (241d5-7). Besides copies and likenesses (εἰκόνων), we have also imitations (μιμημάτων) and appearances (φαντασμάτων) as the subjects of this new kind of being and thus false belief (241e3). In Timaeus, the world of becoming which cannot correctly be called and thus we have to call it "what is such" (τὸ τοιου̑τον) (49e5) or "what is altogether such" (τὸ διἀ παντὸς τοιου̑τον) (e6-7), consists solely of imitations (μιμημάτα) (50c5) which are identifiable only by the things that they are their imitations. The word τοιου̑τον which had been used to determine the situation of a copy in respect of its original, now becomes the definition of the world of becoming in which everything is an image of another thing, a Being, that stays always the same and is different and separated from its image. Cherniss, in my view rightly, draws attention to the very important point about the ontological status of an image that can at the same time be considered a criticism of the relational theory. What we are being said in Timaeus, he thinks,cannot be explained by saying that an image is not self-related and making its being relational. What is crucial about an image is that it 'stands for something, refers to something, means something and this meaning the image has not independently as its own but only in reference to something else apart from it' (1998, 296). This function finds its best explanation in the theory we are to suggest in the following. 3. πολλαχῶς ἔστι The best way to understand the ontological status of an image in Plato is to see first how his most clever pupil, Aristotle, resolved the same problem that Plato brought his theory of image for its sake. Aristotle’s theory of pollachos legetai is a brilliant and, at the same time, deviated version of Plato’s theory that is able, however, to help us read Plato in a better way. We discuss Aristotle’s theory to reach to a full understanding of Plato’s theory because it is, firstly, constructed in Aristotle in a more clear way and, secondly, it can also be taken as an evidence that our reading of Plato is legitimate. The phrase τὸ ὄν πολλαχῶς λέγεται, a so much repeated phrase in Aristotle’s works, is his resolution for some of the ontological problems of his predecessors all treating being as if it has only one sense. Aristotle is right in his criticism of the philosophical tradition specially Heraclitus, Parmenides and Plato since all did presuppose only one sense for being and his theory is, thus, a creative and revolutionary solution for many problems that all the past philosophers were stuck in. But it is at the same time somehow a borrowed theory. As we will discuss, both the structure of the doctrine and the problems it tries to resolve are the same as Plato’s doctrine (and even is comparable in its phraseology) though it is in Aristotle, as can be expected, a more clear and better structured doctrine. 1) Associated with the theory of pros hen and the theory of substance, the theory of several senses of being provides a structure which, I insist, is the best guide to understand Plato’s theory of Being in Sophist, Timeaus and Republic. a) Although the theory of pollachos legetai is not necessarily based on the theory of pros hen, they become tightly interdependent about being: -/- Being is said in many ways/senses (τὸ δὲ ὄν λέγεται μὲν πολλαχῶς) but by reference to one (πρὸς ἕν) [way/sense] and one kind of nature (μίαν τινὰ φύσιν). (Metaphysics 1003a33-34) -/- The doctrine of pros hen which is Aristotle’s initiative third alternative besides the homonymous and synonymous application of words, is primarily a linguistic theory that tries to provide a new theory to explain the different implementations of the same word. The pros hen implementation of being is to provide an alternative for the theory of the synonymous (in Plato: homonymous) implementation of being which says being is said in one sense (kath hen) (1060b 32-33). That both the pros hen and the kath hen implementation of a word has one thing (hen) as what is common, makes them in opposition to the homonymous implementation which does not consider anything in common. Whereas both pros hen and kath hen assume a common nature, with which all the implementations of the word have some kind of relation, their difference is that while kath hen takes all the implementations of the word as the same with the common nature, pros hen makes them different. Substance is called πρῶτον ὄν because it is said to be primarily: -/- For as is (τὸ ἔστιν) is predicated of all things, not however in the same way (οὐχ ὁμοίως) but of one sort of thing primarily and of others in a secondary way. So too τὸτί ἐστιν belongs simply (ἁπλῶς) to substance but in a limited sense (πῶς) to the others [other categories] (1030a21-23). -/- The word ἁπλῶς standing against κατὰ συμβεβηκός tries to make substance different from the accidents. When we are being said that τὸ ὄν πολλαχῶς λέγεται, it means that only the substance that is simply (ἁπλῶς) the ἕν, the common nature, τὸὄν. When we use the word 'being' about a substance, the being is said differently from when we use 'being' about an accident. The distinction between the substance and the other categories is a distinction between what simply is said to be and what only with reference to (pros) the substance is said to be. The doctrine of pros hen, changing kath hen to pros hen in respect of to on, makes a distinction that wants to show that while there is a kind of implementing the word being that is simply being, there is another kind which is called being only by reference to that which is simply being. In the doctrine of pros hen it is not so that all the things that are said to be are only by reference to a common one thing, but that while one thing is called being because it is that thing itself, the other things are called so without being that thing itself but only by referring to it. At the very beginning of book Γ, it is said that: -/- Being is said in many senses but all refer to one arche. Some things are said to be because they are substances, others because they are affections of substances, others because they are a process towards substances or destructions or privations or qualities of substances … (1003b5-9, cf. 1028a18-20) -/- Substance is what really is said to be and all other things that are said to be are said only in favor of it. This difference of substance from all other senses of being is what is, I believe, primarily aimed in Aristotle’s interrelated theories of pollachos legetai,pros hen and the theory of substance. b) The difference of the implementation of being in the case of substance and the accidents goes so deep that while substance is considered as the real being, the accidents are almost not being. An accident is a mere name (Metaphysics 1026b13-14) and is obviously akin to not being (b21). Aristotle adds that Plato was 'in a sense not wrong' saying that sophists deal with not being (τὸ μὴ ὄν) because the arguments of sophists are, above all, about the accidental (1026b13-16). At the beginning of book , he says about quality and quantity (which look to be more of a being than other accidents) that they are not existent (οὐδ̕ ὄντα ὡς εἰπεῖν) in an unqualified sense (ἁπλῶς) (1069a21-22). The two above-mentioned points, Aristotle’s (a) interwoven theories of pollachos legetai, pros hen and the theory of substance and (b) taking accidents almost as not being, comparedwith substance, brings forth a structure that I shall call Pollachos Legetai (with capital first letters). What is of the highest importance in this structure for me is the difference of substance from accidents and the kind of relation which is settled between them. There is a substance that without any qualification is said to be and the accidents that are said to be only by reference (pros) to it. Adding Aristotle’s point about accidents that they are nearly not being to this relation and difference, we can obviously see how much this structure is close to Plato’s original-copy ontology. We spoke of the relation of being and difference in Plato’s model and the way Plato construes the being of a copy. A copy is a copy only by referring to (pros) a model; it is different from (ἕτερον) that of which it is a copy; it is not itself a true thing as its model and not really that which is (ὄντως ὄν) but only is in a way (πῶς). If we behold the difference of substance and accident in the context of the theory of pollachos legetai and pros hen, we can observe its fundamental similarity with Plato’s original-copy theory in its structure. Allen draws attention to the fact that the relation between Forms and particulars in Plato’s original-copy model is 'something intermediate between univocity and full equivocity' (1998, 70, n. 24) and the same as what Aristotle calls it pros hen (ibid). What made us compare the two structures was not, of course, the complete similarity of two structures (we have to agree with many possible differences of the two theories) but exactly the specific relation between an original and its copy on the one hand, and a substance and its accident on the other hand. As substance and accident do not share a common character and the substance -accident model hints that they stand in a certain relation, there is no common character between the original and copy in Plato’s model as well. Furthermore, their similarity is not confined to their structure only; they are also aimed to solve the same problem. The central point of the theory is that all the predecessors took being in one sense and this was their weakness point. Besides the mentioned above passages about the relation of pollachos legetai and presocratics’, as well as Plato’s, ontology, the relation of the theory with the problem of not being is clear in several passages. In Metaphysics, it is said: 'Being is then said in many senses… It is for this reason that we say even of not being that it is not being' (1003b5-10). Discussing the accidental sense of being, Aristotle points that it is in the accidental way that we say, for example, that not-white is because that of which it is an accident is (1017a18-19, cf. 1069a22-24). We mentioned that he thought Plato was right saying that sophistic deals with not being because sophistic deals with accidental, which is somehow not being (1026b14-16). Plato turned sophistic not-being to what both is and is not and Aristotle to what accidentally is said to be. What helps Aristotle to resolve the problem of not being is his distinction between ἁπλῶς and κατὰ σθμβεβηκός. Aristotle’s "qua" (ᾕ) which is directly linked with his distinction between καθ’ αὑτο λέγεται and κατὰ συμβεβηκός λέγεται, is used to resolve the old problem of coming to be out of not being (Physics 191b4-10). He strictly asserts that his predecessors could not solve the problem because they failed to observe the distinction of "qua itself" from "qua another thing" (b10-13). He then continues: -/- We ourselves are in agreement with them in holding that nothing can be said simply (ἁπλως) to come from not being (μὴὄντος). But nevertheless we maintain that a thing may come to be from not being in an accidental way (κατὰ συμβεβηκός). For from privation which ὅ ἐστι καθ’ αὑτο μὴ ὄν, nothing can become. (Phy. 191b13-16, cf. b19-25) . (shrink)

We extend the framework of Inductive Logic to Second Order languages and introduce Wilmers' Principle, a rational principle for probability functions on Second Order languages. We derive a representation theorem for functions satisfying this principle and investigate its relationship to the first order principles of Regularity and Super Regularity.

In the Critique of Pure Reason, Kant defends the mathematically deterministic world of physics by arguing that its essential features arise necessarily from innate forms of intuition and rules of understanding through combinatory acts of imagination. Knowing is active: it constructs the unity of nature by combining appearances in certain mandatory ways. What is mandated is that sensible awareness provide objects that conform to the structure of ostensive judgment: “This (S) is P.” -/- Sensibility alone provides no such objects, so (...) the imagination compensates by combining passing point-data into “pure” referents for the subject-position, predicate-position, and copula. The result is a cognitive encounter with a generic physical object whose characteristics—magnitude, substance, property, quality, and causality—are abstracted as the Kantian categories. Each characteristic is a product of “sensible synthesis” that has been “determined” by a “function of unity” in judgment. -/- Understanding the possibility of such determination by judgment is the chief difficulty for any rehabilitative reconstruction of Kant’s theory. I will show that Kant conceives of figurative synthesis as an act of line-drawing, and of the functions of unity as rules for attending to this act. The subject-position refers to substance, identified as the objective time-continuum; the predicate-position, to quality, identified as the continuum of property values (constituting the second-order type named by the predicate concept). The upshot is that both positions refer to continuous magnitudes, related so that one (time-value) is the condition of the other (property-value). -/- Kant’s theory of physically constructive grammar is thus equivalent to the analytic-geometric formalism at work in the practice of mathematical physics, which schematizes time and state as lines related by an algebraic formula. Kant theorizes the subject–predicate relation in ostensive judgment as an algebraic time–state function. When aimed towards sensibility, “S is P” functions as the algebraic relation “t → ƒ(t).”. (shrink)

Context: The problems that are most in need of interdisciplinary collaboration are “wicked problems,” such as food crises, climate change mitigation, and sustainable development, with many relevant aspects, disagreement on what the problem is, and contradicting solutions. Such complex problems both require and challenge interdisciplinarity. Problem: The conventional methods of interdisciplinary research fall short in the case of wicked problems because they remain first-order science. Our aim is to present workable methods and research designs for doing second-order (...) science in domains where there are many different scientific knowledges on any complex problem. Method: We synthesize and elaborate a framework for second-order science in interdisciplinary research based on a number of earlier publications, experiences from large interdisciplinary research projects, and a perspectivist theory of science. Results: The second-order polyocular framework for interdisciplinary research is characterized by five principles. Second-order science of interdisciplinary research must: 1. draw on the observations of first-order perspectives, 2. address a shared dynamical object, 3. establish a shared problem, 4. rely on first-order perspectives to see themselves as perspectives, and 5. be based on other rules than first-order research. Implications: The perspectivist insights of second-order science provide a new way of understanding interdisciplinary research that leads to new polyocular methods and research designs. It also points to more reflexive ways of dealing with scientific expertise in democratic processes. The main challenge is that this is a paradigmatic shift, which demands that the involved disciplines, at least to some degree, subscribe to a perspectivist view. Constructivist content: Our perspectivist approach to science is based on the second-order cybernetics and systems theories of von Foerster, Maruyama, Maturana & Varela, and Luhmann, coupled with embodied theories of cognition and semiotics as a general theory of meaning from von Uexküll and Peirce. (shrink)

the proclivity of many people to classify human acts as good or bad calls into mind the import of ETHICS. The penchant for classification warrants the evaluation of the bases for saying that one is bad or good action. Normally, human act is ethical if it is in accordance with what one would relatively expect in view of the events or the circumstances and unethical if the action is not called for by the circumstances, or a person whose behavior is (...) disorderly and inconsistent. The same observations harbor on perception rather than on paradigms and frameworks which ethicists have somehow perfected to classify bad behavior into one division and good behavior into another. The study of ETHICS will therefore increase proficiency at least in moral decision making. Likewise, knowledge of the course will give students certain techniques for evaluating others’ action as moral or immoral, including their own. ETHICS is the science of action but the action herein alluded to is not the action that concerns those that are unconscious and spontaneous. Action here is that resulting from intellect and will herein referred to as human act. ETHICS is both a theoretical and a practical discipline. The language of ethics refers to rights, duties, and values. One of the goals of ethics is to explore the nature of moral experience, its universality, and its diversity. Another is to provide intellectual analysis of values, and value conflicts in order to define man’s duties. Also, it is oriented toward the determination of right decisions. In order to do that, it is necessary to go step by step, analyzing, first, the facts of the case, second, the values at stake, and third, the duties. In short, ETHICS has the very practical purpose of helping us to choose, decide, and act morally. It should enable us to discover defects in the action of others and to avoid defects in our own action. (shrink)