Product logic Π is an important t-norm based fuzzy logic with conjunction interpreted as multiplication on the real unit interval [0,1], while Cancellative hoop logic CHL is a related logic with connectives interpreted as for Π but on the real unit interval with 0 removed (0,1]. Here we present several analytic proof systems for Π and CHL, including hypersequent calculi, co-NP labelled calculi and sequent calculi.

In focusing on the systematic deduction of the categories from a principle, Schulting takes up anew the controversial project of the eminent German Kant scholar Klaus Reich, whose monograph “The Completeness of Kant's Table of Judgments” made the case that the logical functions of judgement can all be derived from the objective unity of apperception and can be shown to link up with one another systematically. -/- Common opinion among Kantians today has it that Kant did not mean to derive (...) the functions of judgement, and accordingly the categories, from the principle of apperception. Schulting challenges this standard view and aims to resuscitate the main motivation behind Reich’s project. He argues, in agreement with Reich’s main thesis about the derivability of the functions of judgement, that Kant indeed does mean to derive, in full a priori fashion, the categories from the principle of apperception. -/- Schulting also shows that, given the general assumptions of the Critical philosophy, Kant's derivation is successful and that absent an account of the derivation of the categories from apperception, the B-Deduction cannot really be understood. -/- New edition. First published 2012 as „Kant’s Deduction and Apperception. Explaining the Categories" (Palgrave Macmillan). (shrink)

Scientific realism postulates that science aims for truth in both the domains of the observable and the unobservable, and is capable of achieving this aim, at least approximately. From the realist perspective our current scientific theories are on the right path to their aim, encapsulating a significant degree of theoretical truth. A key argument supporting this viewpoint is the continuity observed between successive scientific theories, interpreted as the preservation of truth. However, we contend that this continuity argument is problematic in (...) significant cases. Features of older theoretical schemes frequently do not persist in subsequent theories but _emerge_ as limiting cases with restricted applicability domains and fine-grained structures that differ from what the older theories deemed possible. The alterations accompanying theory replacement are often more drastic than what is assumed by realist intuition, justifying skepticism about continuity serving as an indicator of theoretical truth preservation. We propose an argument wherein continuity is instead viewed as a consequence of empirical success preservation. (shrink)

Décio Krause is one of the staunchest defenders of the “Received View” of “identical quantum particles”, i.e. quantum particles of the same kind. According to the Received View identical quantum particles do not possess individuating properties: they are entities without identity. Still, they are “different” from each other in the weak sense that there can be more than one of them. As Décio Krause has pointed out, such identity-less objects must be handled by a non-standard set theory—quasi-set theory, a subject (...) to which he has made important contributions.In this Chapter we compare and contrast the ideas of the Received View with those of a rival interpretation that has recently started to attract attention. According to this Alternative View quantum particles are emerging entities—at a fundamental level, the world does not consist of particles. But once emerged, quantum particles of the same kind are distinguishable and possess identity, so that they can be dealt with by standard set theory and ordinary mathematics. (shrink)

According to what has become a standard history of quantum mechanics, von Neumann in 1932 succeeded in convincing the physics community that he had proved that hidden variables were impossible as a matter of principle. Subsequently, leading proponents of the Copenhagen interpretation emphatically confirmed that von Neumann's proof showed the completeness of quantum mechanics. Then, the story continues, Bell in 1966 finally exposed the proof as seriously and obviously wrong; this rehabilitated hidden variables and made serious foundational research possible. It (...) is often added in recent accounts that von Neumann's error had been spotted almost immediately by Grete Hermann, but that her discovery was of no effect due to the dominant Copenhagen Zeitgeist. We shall attempt to tell a more balanced story. Most importantly, von Neumann did not claim to have shown the impossibility of hidden variables tout court, but argued that hidden-variable theories must possess a structure that deviates fundamentally from that of quantum mechanics. Both Hermann and Bell appear to have missed this point; moreover, both raised unjustified technical objections to the proof. Von Neumann's conclusion was basically that hidden-variables schemes must violate the "quantum principle" that all physical quantities are to be represented by operators in a Hilbert space. According to this conclusion, hidden-variables schemes are possible in principle but necessarily exhibit a certain kind of contextuality. As we shall illustrate, early reactions to Bohm's theory are in agreement with this account. Leading physicists pointed out that Bohm's theory has the strange feature that particle properties do not generally reveal themselves in measurements, in accordance with von Neumann's result. They did not conclude that the "impossible was done" and that von Neumann had been shown wrong. (shrink)

This article critically examines numerous attempts to build a knowledge-first ethics of belief. These theories specify a number of potential "knowledge norms for belief".

Value-sensitive design theorists propose that a range of values that should inform how future social robots are engineered. This article explores a new value: digital well-being, and proposes that the next generation of social robots should be designed to facilitate this value in those who use or come into contact with these machines. To do this, I explore how the morphology of social robots is closely connected to digital well-being. I argue that a key decision is whether social robots are (...) designed as embodied or disembodied. After exploring the merits of both approaches, I conclude that, on balance, there are persuasive reasons why disembodied social robots may well fare better with respect to the value of digital well-being. (shrink)

Textbooks present classical particle and field physics as theories of physical systems situated in Newtonian absolute space. This absolute space has an influence on the evolution of physical processes, and can therefore be seen as a physical system itself; it is substantival. It turns out to be possible, however, to interpret the classical theories in another way. According to this rival interpretation, spatiotemporal position is a property of physical systems, and there is no substantival spacetime. The traditional objection that such (...) a relationist view could not cope with the existence of inertial effects and other manifestations of the causal efficacy of spacetime can be answered successfully. According to the new point of view, the spacetime manifold of classical physics is a purely representational device. It represents possible locations of physical objects or events; but these locations are physical properties inherent in the physical objects or events themselves and having no existence independently of them. In relativistic quantum field theory the physical meaning of the spacetime manifold becomes even less tangible. Not only does the manifold lose its status as a substantival container, but also its function as a representation of spacetime properties possessed by physical systems becomes problematic. 'Space and time' become ordering parameters in the web of properties of physical systems. They seem to regain their traditional meaning only in the non-relativistic limit in which the classical particle concept becomes approximately applicable. (shrink)

In this paper, I argue that the principle of respect for autonomy can serve as the basis for laws that significantly limit conduct, including orders mandating isolation and quarantine. This thesis is fundamentally at odds with an overwhelming consensus in contemporary bioethics that the principle of respect for autonomy, while important in everyday clinical encounters, must be 'curtailed', 'constrained', or 'overridden' by other principles in times of crisis. I contend that bioethicists have embraced an indefensibly 'thin' notion of autonomy that (...) uproots the concept from its foundations in Kantian ethics. According to this thin conception, respect for autonomy, if unconditioned by competing principles (beneficence, justice, non-maleficence) would give competent adults the right to do anything they desired to do so long as they satisfied certain baseline psychological conditions. I argue that the dominant 'principlist' model of bioethical reasoning depends on this thin view of autonomy and show how it deprives us of powerful analytical tools that would help us to think seriously about the foundations of human rights, justice, and law. Then, I offer a brief sketch of a 'thick', historically grounded notion of autonomy and show what we could gain by taking it seriously. (shrink)

The syntagmatic paradigmatic model is a distributed, memory‐based account of verbal processing. Built on a Bayesian interpretation of string edit theory, it characterizes the control of verbal cognition as the retrieval of sets of syntagmatic and paradigmatic constraints from sequential and relational long‐term memory and the resolution of these constraints in working memory. Lexical information is extracted directly from text using a version of the expectation maximization algorithm. In this article, the model is described and then illustrated on a number (...) of phenomena, including sentence processing, semantic categorization and rating, short‐term serial recall, and analogical and logical inference. Subsequently, the model is used to answer questions about a corpus of tennis news articles taken from the Internet. The model's success demonstrates that it is possible to extract propositional information from naturally occurring text without employing a grammar, defining a set of heuristics, or specifying a priori a set of semantic roles. (shrink)

The paper argues that members of future generations have an entitlement to natural resources equal to ours. Therefore, if a currently living individual destroys or degrades natural resources then he must pay compensation to members of future generations. This compensation takes the form of “primary goods” which will be valued by members of future generations as equally useful for promoting the good life as the natural resources they have been deprived of. As a result of this policy, each generation inherits (...) a “Commonwealth” of natural resources plus compensation. It is this inherited “Commonwealth” which members of that generation must then pass on to members of the next generation. Once this picture is accepted, the standard bundle of property rights is problematic, for it takes the owner of a constituent of the Commonwealth to have the right to “waste, destroy or modify” that item at will. This paper therefore presents a revised set of property rights which takes seriously the idea that each generation has an equal claim on the resources that nature has bequeathed us, whilst allowing certain effects on those natural resources by each generation, and a degree of exclusive use of those natural resources owned by an individual. (shrink)

I argue that there is natural relationist interpretation of Newtonian and relativistic non-quantum physics. Although relationist, this interpretation does not fall prey to the traditional objections based on the existence of inertial effects.

In this chapter, I show that there is at least one crucial, non-short, argument, which does not involve arguments about spatiotemporality, why Kant’s subjectivism about the possibility of knowledge, argued in the Transcendental Deduction, must lead to idealism. This has to do with the fact that given the implications of the discursivity thesis, namely, that the domain of possible determination of objects is characterised by limitation, judgements of experience can never reach the completely determined individual, i.e. the thing in itself (...) or the unlimited real, but only objects as objects of possible experience. As such, it can be shown by reference to a key argument from Kant, that Hegel’s famous criticism that Kant is not licensed, on the basis of his core arguments concerning the original-synthetic unity of apperception, to restrict our knowledge to appearances, is mistaken on purely systematic grounds. More specifically, I argue that idealism follows already from the constraints that the use of the categories, in particular the categories of quality, places on the very conceivability of things in themselves. My claim is that, although it is not only possible but also necessary to think things in themselves, it does not follow that by merely thinking them we have a full grasp of the nature of things in themselves, as some important commentators claim we have. We must therefore distinguish between two kinds of conceiving of things in themselves: conceiving in the standard sense of ‘forming the notion of’, and conceiving in the narrow sense of ‘having a determinate intellectual grasp’. So although we must be able notionally to think things in themselves, as the grounds of their appearances, we cannot even conceive, through pure concepts, of how they are in themselves in any determinate, even if merely intellectual, sense. To put it differently, we cannot have a positive conception of things in themselves (this is in line with Kant’s distinction between noumena in the negative and positive senses; cf. B307–9). For support, I resort to a much overlooked chapter in the Critique, concerning the transcendental Ideal, where Kant discusses what it is for a thing to be a thing in itself proper, namely, something that is thoroughly determined. This concerns the real ontological conditions of things, which are not satisfied by the modal categories alone, namely, their existence conditions. I claim that the chief reason why, given Kant’s view of determinative judgement, we cannot determine a thing in itself is because of two connected reasons: (1) a thing in itself is already fully determined and therefore not further determinable and (2) we cannot possibly determine all of the thing’s possible determinations. In this context, I also discuss the notion of material (not: empirical) synthesis—of which Kant speaks in the chapter on the transcendental Ideal—which must be presupposed as the ground of the formal a priori synthesis that grounds possible experience. This material synthesis, which is an idea of reason that defines a thing as thoroughly determined with regard to all of its possible predicates and has mere regulative status, can by implication not be determined by the forms of the understanding, which synthesise only a limited set of predicates. As a result, given this definition of ‘thing in itself’, any object (appearance) as at best44 a limited set of determinations of the thing can never be numerically identical to the thing in itself as thoroughly determined individual. This undercuts a standard assumption about the identity relation between appearances and things in themselves in many contemporary interpretations of Kant’s transcendental idealism. (shrink)

In den Gesellschaftsdiagnosen soziologischer wie feuilletonistischer Provenienz spielt die Angst eine zentrale Rolle. So zeichnet etwa Heinz Bude in seiner Diagnose einer Gesellschaft der Angst ein buntes Spektrum insbesondere sozialer Abstiegs- und Exklusionsängste, die sich seit der Nachkriegszeit vervielfacht und zu einer diffusen sozialen Grundbefindlichkeit erzeugt hätten. Das Aufstiegsversprechen des deutschen Sozialstaates habe sich in eine latente Drohung prekärer Existenz verkehrt und vor dem Hintergrund der umfassenden Zurückverwiesenheit der Individuen auf sich selbst zur Entstehung einer Gesellschaft geführt, in der Angst (...) den größten gemeinsamen Nenner aller Mitglieder bilde. (shrink)

The position that I seek to defend in this article is that the epistemological hegemony that is presently one of the defining characters of the relationship between Africa and the global North is a form of injustice which makes the talk of ‘global justice’ illusory. In arguing thus, I submit that denying the indigenous people of Africa an epistemology that is comparable to epistemologies from other geopolitical centres translates to questioning their humanity which is a form of injustice. I thus (...) proceed to argue that, as a precondition to an authentic discourse on the possibility of ‘global justice’; epistemic injustice must first be challenged and rejected. In so doing, I am defending the position that the acceptance and respect for the diversity of the peoples of this world and their epistemologies is imperative if genuine justice at global level is to be realised. (shrink)

As interpreted by Pattee, von Neumann’s Theory of Self-Reproducing Automata has proved to be a useful tool for understanding some of the difficulties and paradoxes of molecular biosemiotics. But is its utility limited to molecular systems or is it more generally applicable within biosemiotics? One way of answering that question is to look at the Theory as a model for one particular high-level biosemiotic activity, human language. If the model is not useful for language, then it certainly cannot be generally (...) useful to biosemiotics. Beginning with the Universal Turing Machine and continuing with von Neumann’s Theory and Pattee’s interpretation, the properties of universality, programmability, underspecification, complementarity of description/construction, and open-ended evolutionary potential are shown to be usefully applicable to language, thus opening a new line of inquiry in biosemiotics. (shrink)

This Perspective traces the evolution of certain central notions in the theory of Generative Grammar (GG). The founding documents of the field suggested a relation between the grammar, construed as recursively enumerating an infinite set of sentences, and the idealized native speaker that was essentially equivalent to the relation between a formal language (a set of well-formed formulas) and an automaton that recognizes strings as belonging to the language or not. But this early view was later abandoned, when the focus (...) of the field shifted to the grammar's strong generative capacity as recursive generation of hierarchically structured objects as opposed to strings. The grammar is now no longer seen as specifying a set of well-formed expressions and in fact necessarily constructs expressions of any degree of intuitive “acceptability.” The field of GG, however, has not sufficiently acknowledged the significance of this shift in perspective, as evidenced by the fact that (informal and experimentally-controlled) observations about string acceptability continue to be treated as bona fide data and generalizations for the theory of GG. The focus on strong generative capacity, it is argued, requires a new discussion of what constitutes valid empirical evidence for GG beyond observations pertaining to weak generation. (shrink)

The paper uses Heideggerian concepts of world to contrast the lived environment of the animal in the wild to nature as [re]constructed through Geographical Information Systems (GIS). With the animal Umwelt and GIS Weltbilt/Ge-stell side by side, we can see the “contradiction” between the animal’s lived space and the techno-human space of GIS, appreciate the risk of the GIS-constructed world to animals in the wild, and seek a way to address the risk. The paper suggests that humans, as beings which (...) properly have a world, can stand as fiduciaries for nonhuman animals in relation to the peculiar risk of geospatial environmental management technology. (shrink)

Name der Zeitschrift: Nietzsche-Studien Jahrgang: 44 Heft: 1 Seiten: 553-568.

One of the most irritating habits of analytic philosophers when they show a passing interest in the work of philosophers from the past is the professed ignorance of textual and philological detail. This used to be worse than it is in current analytical philosophy. Many detailed scholarly readings that roughly can be categorised as belonging to the analytic school of philosophy are published now that show great care for exegesis and philosophical argument in equal measure. But wilful exegetical ignorance of (...) historical philosophical texts is still ubiquitous among philosophers who technically don’t work in the history of philosophy. It’s often seen as a badge of honour to be merely interested in the philosophical argument that can be based on Kant, say, rather than in an exegesis of Kant’s text. This is often also portrayed in terms of the difference between offering Kantian style arguments and engaging in Kant scholarship. Kantianism is not the same as Kant scholarship, it is argued, and the former can be wholly detached from the latter, as if one could indeed judge what is Kantian without having studied Kant. One can of course legitimately pursue Kantian philosophy without at the same time engaging in Kant scholarship, but Kantian philosophy worthy of the name cannot not be informed by solid scholarship. ... (shrink)

Journal of Social Philosophy, EarlyView.

In De Mysteriis VIII Iamblichus gives two orderings of first principles, one in purely Neoplatonic terms drawn from his own philosophical system, and the other in the form of several Egyptian gods, glossed with Neoplatonic language again taken from his own system. The first ordering or taxis includes the Simple One and the One Existent, two of the elements of Iamblichus' realm of the One. The second taxis includes the Egyptian (H)eikton, which has now been identified with the god of (...) magic, Heka, glossed as the One Existent. The Egyptian god Kmeph is also a member of this taxis, and is the Egyptian Kematef, a god of creation associated with the solar Amun-Re. Iamblichus refers to this god also as the Hegemon of the celestial gods, which should be equated to Helios, specifically the noeric Helios as described by Julian in his Hymn to Helios. Iamblichus describes Kmeph as an “intellect knowing himself”, and so the noeric Kmeph/Helios should also be seen as the Paternal Demiurgic Zeus, explicitly described also by Proclus as an intellect knowing himself. This notion of a self-thinking intellect may offer a solution to the problematic formulation by Proclus in his Timaeus commentary of Iamblichus' view of the Demiurgy encompassing all the noeric realm. The identification of Kmeph as the noeric Helios now also allows the first direct parallels to de Mysteriis to be found in extant Hermetica. In addition it can be inferred from the specific Neoplatonic terminology employed that the noetic Father of Demiurges, Kronos, appears, as well as the secondary Demiurgic triad of Zeus, Poseidon, and Pluto, in the forms of the Egyptian Amun, Ptah, and Osiris, thus raising the question that much of the theology documented only in Proclus might appear already to have been established by Iamblichus. (shrink)

Those who invoke the word self-deception to represent one phenomenon often argue that those who use it to represent another are misusing the construct. Better to recognize that self-deception is a fuzzy concept that may be used to represent a variety of mental processes and states, and to direct our energy toward distinguishing empirically among its forms and functions.

Representationalism emerges unscathed from Pessoa et al.'s attack. They fail to undermine a key reason for its influence: it has the theoretical resources to explain many illusory visual experiences such as illusory contours and features. Furthermore, in attempting to undermine representationalism, the authors seem to erect an unduly inflated distinction between neural accounts of perception and personal-level accounts of perception.

Currently there is considerable interest in the notion that dorsal and ventral visual systems might differ in their specializations for thought and action. Behavior invariably involves multiple processes such as perception, judgment, and response execution. It is not clear that characteristics of the dorsal and ventral processing streams, as described by Norman, are entirely of a perceptual nature.

This helpful "bridge" book offers students the foundations they need to understand advanced mathematics, spanning the gap between practically oriented and theoretically orientated courses. Part 1 provides the most basic tools, examples, and motivation for the manner, method, and material of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. 1975 edition"--Provided by publisher.

I wrote earlier on the difference between the Pippinian and Houlgatian interpretations of Hegel’s Logic. In the current piece, I want to elaborate a bit more on Stephen Houlgate’s take on what he calls ‘sheer being’. It will still be extremely exploratory, without delving into the detail of Hegel’s own text, let alone into the secondary literature on the beginning of the Logic (apart from Houlgate, important work in this area is offered by Robert Pippin, Dieter Henrich, Rolf-Peter Horstmann, and (...) more recently Pirmin Stekeler-Weithofer in his massive 3-volume commentary on the Logic). The piece is chiefly critical of a particular, sophisticated and influential reading of the Logic, and doesn’t make propositions on how a positive reading of the Logic might look like. These are just some more critical reflections on what I take to be an ultimately unsuccessful way of approaching Hegel’s Logic, one though that seems very influential and intuitively plausible. I am increasingly suspicious of their attempts to defend ontological readings of Hegel’s Being Logic, such as we can find in the work of Houlgate (but also many others). Below I shall comment in turn on various passages I quote from a recent essay by Houlgate (Houlgate 2018) and elaborate on some of the central arguments. (shrink)

Aritsotle's hyle is contrasted with Plato's chora and Aquinas's prima materia. It is argued that Plato and Aristotle developed their concepts in response to very different needs, and that Aquinas's theory reflects a conflation of their views by Neoplatonic commentators. Hyle is shown to be an active potential to a determinate form in contrast to Aquinas's prima materia, which is a purely indeterminate passive potential. This gives a point of attachment in Aristotle's philosophy of nature for the later notion of (...) universal laws of nature. (shrink)

The impact of social media technologies (SMTs) on digital wellbeing has become an increasingly important puzzle for ethicists of technology. In this article, we explain why individualised theories of digital wellbeing (DWB) can only solve part of this puzzle. While an individualised conception of DWB is useful for understanding online self-regulation, we contend that we must seek greater understanding of how SMTs connect us. To build an account of this, we locate the conceptual resources for our account in Confucian ethics. (...) In contrast to individualised conceptions of human flourishing that are found in the Western tradition, Confucian thinkers strongly emphasise that individuals cannot flourish alone, but need wider social structures (partner, family, society, nation). Not only do strands of Confucian ethics explain how individuals are defined by the roles they take up in relationships, but this perspective also makes practical suggestions for how these roles can be cultivated. We conclude our article by identifying the Confucian notions that seem to have most promise for the future design of SMTs. (shrink)

In this chapter, I expound Hegel’s critique of Kant, which he first and most elaborately presented in his early essay Faith and Knowledge (1802), by focusing on the criticism that Hegel levelled against Kant’s (supposedly) arbitrary subjectivism about the categories. This relates to the restriction thesis of Kant’s transcendental idealism: categorially governed empirical knowledge only applies to appearances, not to things in themselves, and so does not reach objective reality, according to Hegel. Hegel claims that this restriction of knowledge to (...) appearances is unwarranted merely on the basis of Kant’s own principle of transcendental apperception, and just stems from Kant’s empiricist bias. He argues that Kant’s principle of apperception as the foundational principle of knowledge is in fact incompatible with his empiricism. Hegel rightly appraises the centrality of transcendental apperception for the constitution of objectivity. But he is wrong about its incompatibility with Kant’s empirical realism. By virtue of a misapprehension of the formal distinction between the accompanying ‘I think’, i.e. the analytical principle of apperception, and what Hegel calls “the true ‘I’” of the original-synthetic unity of apperception, Hegel unjustifiably prises apart the productive imagination, which is supposedly this “true ‘I’”, and the understanding, which is supposedly just a derivative, subjective form of the productive imagination; the latter, according to Hegel, is Reason or Being itself, and is the truly objective. This deflationary reading of the understanding, which hypostatises the imagination as the supreme principle, rests on a distortion of key elements of Kant’s theory of apperception. In this chapter, I show that Hegel’s charge of inconsistency against Kant, namely, Hegel’s claim that the principle of apperception as the highest principle of cognition does not comport with Kant’s restriction thesis, is the direct consequence of a psychological misreading of Kant’s subjectivism. (shrink)

This article aims to contribute to counteracting the negative perception of Descartes’ philosophical legacy. The article addresses a specific aspect of the supposed human dominance over nature, that of the animal question. Against the accusation of “speciesism,” a hierarchy that considers humans superior and justifies their domination and cruelty towards animals, it is argued that Descartes did not regard animals as completely insensible, that his position was not as categorical as often presented, and that he can be interpreted not as (...) a speciesist but as an environmental advocate. (shrink)

Aphrodite, Athena, Mercury, and Hercules are all interesting characters from Greek Mythology, and William Moulton Marston makes it clear that their powers now "fight for America" in World War II. Wonder Woman's "Merciful Minerva!" uses the Roman name for Athena, and it is clear that her physical power and skill with weaponry is based on the ancient goddess. Wonder Woman's origin story uses the ancient Greek in exactly the same way the philosopher Georg Wilhelm Friedrich Hegel does in his Philosophy (...) of History. Hegel outlined his theory of history as a threefold progression. In the first stage, only the despot was free; in the second stage, the Greeks discovered that some are free; and in the third stage, the stage of the modern world, we know that all are free. The Wonder Woman origin story goes through the same three major stages, and uses the Greeks in that crucial second stage. (shrink)

If Plato were here today, he would argue that our knowledge of Superman is based on the unchanging and eternal Superman found in the world of being. Philosophers struggled with Plato’s theory of essences for over 2000 years. No one really challenged the idea itself until Ludwig Wittgenstein changed the rules of the game in his enormously influential Philosophical Investigations, published after his death in 1953. Wittgenstein suggests that at least sometimes it does not make sense to look for a (...) thing’s essence. The different versions of Superman share a family resemblance much like games do. Rather than trying to identify the one true essence of Superman, one can simply say that a candidate for being Superman must have enough of the typical Superman characteristics, though not necessarily all of them or any one in particular. (shrink)