Filósofos como Marcuse han subrayado las propiedades liberadoras del quehacer artístico. Pero si hemos de pensar el arte como el Gran Rechazo, es necesario mostrar qué rechaza el arte y con qué busca sustituirlo. Respecto a estas preguntas, existen dos respuestas antagónicas. Mientras una busca en la experiencia artística rechazar lo dado en nombre de una verdad intemporal, la otra también reniega de lo dado, pero admite el carácter provisorio de toda verdad. Aunque en apariencia sutil, esta distinción es sustancial. (...) A partir de una lectura de Platón, muestro por qué en la primera posición no hay cabida para lo humano, y por qué de ella se desprenden implicaciones totalitarias. Para caracterizar a la segunda posición, me sirvo de la concepción estética de Octavio Paz y de la propuesta escultórica de Alexander Calder. Ambas propuestas permiten conciliar la insatisfacción que palpita en el arte con la alteridad que caracteriza a lo humano. (shrink)

Earthbodies describes how our bodies are open circuits to a sensual magic and planetary care that when closed off leads to disastrous detours, such as illness, ...

On rationalist infallibilism, a wide range of both (i) analytic and (ii) synthetic a priori propositions can be infallibly justified (or absolutely warranted), i.e., justified to a degree that entails their truth and precludes their falsity. Though rationalist infallibilism is indisputably running its course, adherence to at least one of the two species of infallible a priori justification refuses to disappear from mainstream epistemology. Among others, Putnam (1978) still professes the a priori infallibility of some category (i) propositions, while Burge (...) (1986, 1988, 1996) and Lewis (1996) have recently affirmed the a priori infallibility of some category (ii) propositions. In this paper, I take aim at rationalist infallibilism by calling into question the a priori infallibility of both analytic and synthetic propositions. The upshot will be twofold: first, rationalist infallibilism unsurprisingly emerges as a defective epistemological doctrine, and second, more importantly, the case for the a priori infallibility of one or both categories of propositions turns out to lack cogency. (shrink)

Minimalism is currently the received deflationary theory of truth. On minimalism, truth is a transparent concept and a deflated property of truth bearers. In this paper, I situate minimalism within current deflationary debate about truth by contrasting it with its main alternative―the redundancy theory of truth. I also outline three of the primary challenges facing minimalism, its formulation, explanatory adequacy and stability, and draw some lessons for the soundness of its conception of truth.

On rationalist infallibilism, a wide range of both (i) analytic and (ii) synthetic a priori propositions can be infallibly justified, i.e., justified in a way that is truth-entailing. In this paper, I examine the second thesis of rationalist infallibilism, what might be called ‘synthetic a priori infallibilism’. Exploring the seemingly only potentially plausible species of synthetic a priori infallibility, I reject the infallible justification of so-called self-justifying propositions.

Linguistic competence, in general terms, involves the ability to learn, understand, and speak a language. The nativist view in the philosophy of linguistics holds that the principal foundation of linguistic competence is an innate faculty of linguistic cognition. In this paper, close scrutiny is given to nativism's fundamental commitments in the area of metaphysics. In the course of this exploration it is argued that any minimally defensible variety of nativism is, for better or worse, married to two theses: linguistic competence (...) is grounded in a faculty of linguistic cognition that is (i) embodied and (ii) whose operating rules are represented in the brains of human language users. (shrink)

Cyborgs are ongoing becomings of a doubly “in-between” temporality of humans and machines. Materially made from components of both sorts of beings, cyborgs gain increasing function through an interweaving in which each alters the other, from the level of “neural plasticity” to software updates to emotional breakthroughs of which both are a part. One sort of temporal in-between is of the progressive unfolding of a deepening becoming as “not-one-not-two” and the other is a “doubling back” of time into itself in (...) which moments that were once disparate are conjoined or enjambed. Tracing the experience of Michael Chorost during a four year period of coming to terms with his cochlear implant, related in Rebuilt: How Becoming Part Computer Made Me More Human, the essay pinpoints shifts in awareness, perceptual belief, and being-with others that unfold within the in-between of person and machine. (shrink)

According to Field’s influential incompleteness objection, Tarski’s semantic theory of truth is unsatisfactory since the definition that forms its basis is incomplete in two distinct senses: (1) it is physicalistically inadequate, and for this reason, (2) it is conceptually deficient. In this paper, I defend the semantic theory of truth against the incompleteness objection by conceding (1) but rejecting (2). After arguing that Davidson and McDowell’s reply to the incompleteness objection fails to pass muster, I argue that, within the constraints (...) of a non-reductive physicalism and a holism concerning the concepts of truth, reference and meaning, conceding Field’s physicalistic inadequacy conclusion while rejecting his conceptual deficiency conclusion is a promising reply to the incompleteness objection. (shrink)

The superassertability theory of truth, inspired by Crispin Wright (1992, 2003), holds that a statement is true if and only if it is superassertable in the following sense: it possesses warrant that cannot be defeated by any improvement of our information. While initially promising, the superassertability theory of truth is vulnerable to a persistent difficulty highlighted by James Van Cleve (1996) and Terrence Horgan (1995) but not properly fleshed out: it is formally illegitimate in a similar sense that unsophisticated epistemic (...) theories of truth are widely acknowledged to be. Sustained analysis reveals that the unrestricted formal legitimacy argument is firmly grounded in first person conceivability evidence. (shrink)

The weak deflationist about truth is committed to two theses: one conceptual, the other ontological. On the conceptual thesis (what might be called a ‘triviality thesis’), the content of the truth predicate is exhausted by its involvement in some version of the ‘truth-schema’. On the ontological thesis, truth is a deflated property of truth bearers. In this paper, I focus on weak deflationism’s ontological thesis, arguing that it generates an instability in its view of truth: the view threatens to collapse (...) into either that of strong deflationism (i.e., truth is not a property) or that of some form of inflationism (i.e., truth is a substantial property). The instability objection to weak deflationism is sketched by way of a truth-property ascription dilemma, the two horns of which its proponent is at pains to circumvent. (shrink)

Beauchamp and Childress created the ‘four principle’ approach to help clinicians analyse and resolve ethical dilemmas they may encounter when working. In this project, I will consider whether autonomy ought to have a privileged position within the four principles and if the four principles can apply outside the medical sphere.

Can there be grounding without necessitation? Can a fact obtain wholly in virtue of metaphysically more fundamental facts, even though there are possible worlds at which the latter facts obtain but not the former? It is an orthodoxy in recent literature about the nature of grounding, and in first-order philosophical disputes about what grounds what, that the answer is no. I will argue that the correct answer is yes. I present two novel arguments against grounding necessitarianism, and show that grounding (...) contingentism is fully compatible with the various explanatory roles that grounding is widely thought to play. (shrink)

In this paper I argue that, in addition to having an obligation to resist the oppression of others, people have an obligation to themselves to resist their own oppression. This obligation to oneself, I argue, is grounded in a Kantian duty of self-respect.

This essay discusses how our traditional ethics may harbor assumptions that place humans in a position in which overt violence towards animals is an almost inevitable outcome since their formulation involves violence towards ourselves and our animal fellows in our cutting our embodied ties with them. The essay explores Derrida’s Animal that Therefore, I Am, in its detailing of the two discourses within European intellectual history of those who felt they were “above” animals and were not addressed by them versus (...) those who could acknowledge that animals do address us. Derrida also cites the “lyconomy” of this tradition that brandishes the image of the “wolf” within us as a streak of rapacious violence that we can only fight with violence, thus projecting onto the wolf a false identity to justify our own demons of violence. Merleau-Ponty’s notions of embodiment further this idea that we are enmeshed with animals in a basic affective, perceptual and visceral way and that to ignore this interweaving of lives is to do violence to ourselves as well as violence towards them. I then cite ethologists for evidence that wolves are one of the most social, non-violent animals on the planet and detail how two million were slaughtered in the name of eradicating an “evil” being. Such behavior on our part I call “speciocide,” as heinous as genocide. Finally, phenomenology, as one particular philosophical approach, may have a critical edge in helping us to see our animal fellows more clearly, to understand them better, and discern our truer moral obligations to them. (shrink)

This essay details wolves’ sense of their surround in terms of how wolves’ perceptual acuities, motor abilities, daily habits, overriding concerns, network of intimate social bonds and relationship to prey gives them a unique sense of space, time, belonging with other wolves, memorial sense, imaginative capacities, dominant emotions (of affection, play, loyalty, hunger, etc.), communicative avenues, partnership with other creatures, and key role in ecological thriving. Wolves are seen to live within a vast sense of aroundness and closeness to aspects (...) of their surround (compared to humans), a highly charged intimacy and cooperation with other wolves, and a caring and non-aggressive attitude that goes beyond the pack, despite their loyalty and defense of territory. The cultural myths and history that absurdly demonize the wolf are explored in their self-righteous attempts to exterminate wolves, which I call “speciocide” and probe for projections of human viciousness. The supposed rapaciousness of wolves is re-examined by expanding Barry Lopez’s sense of the silent dialogue of death with other creatures to be reconsidered as a kind of respect, assertion of vitality, recognition or mortality and cooperation. (shrink)

The critique of tourism as being only a distanced, detached, and consumerist passing through of foreign landscapes and cultures isdisputed in this essay. The idea that tourism necessarily fits the paradigm of inauthenticity as the tranquilized and alienated hopping from spot to spot in prepackaged, superficial presentations is contrasted with another sense of tourism as drawing upon the potential power of the glance to disrupt the everyday, to focus on the particular, to be surprised by the new, and to bodily (...) join up with the rhythms of place being as shifting. Authenticity is seen in both Heidegger and Merleau-Ponty to be primarily about a greater bodily awareness of surround and transformation of the self as an ongoing process of “selving” that yields a more singular sense of who one is in relationship to places and their interconnectedness. To gain a better sense of oneself in one own being or uniqueness is to gain more meaning through emplacement within the surround. The glance at a new world can open up an “interplace” which expands anddeepens the sense of who we are in the interconnection and reverberations among places. (shrink)

Discussion of the relevance of grounding to substantiveness, theory-choice, and “location problems” in metaphysics.

Special and General theories of relativity may be considered as the most significant examples of integrative thinking. From these works we see that Albert Einstein attached great importance to how we understand geometry and dimensions. It is shown that physics powered by the new multidimensional elastic geometry is a reliable basis for science integration. Instead of searching for braneworlds (elastic membranes - EM) in higher dimensions we will start by searching them in our 3+1 dimensional world. The cornerstone of the (...) new philosophy is an idea that lower dimensional EMs are an essential component of the living matter, they are responsible for our perceptions, intellect, pattern recognition and high speed signal propagation. According to this theory each EM has both physical and perceptive (psychological) meanings: it exists as our Universe-like physical reality for its inner objects and at the same time it plays perceptive (psychological) role in the external bulk space-time. This philosophy may help us to build up a science which explains not only inanimate, unconscious phenomena, but consciousness as well. (shrink)

A number of bioethicists have been critical of the power of the family to “veto” a patient’s decision to posthumously donate her organs within opt-in systems of organ procurement. One major objection directed at the family veto is that when families veto the decision of their deceased family member, they do something wrong by violating or failing to respect the autonomy of that deceased family member. The goal of this paper is to make progress on answering this objection. I do (...) this in two stages. First, I argue that the most plausible interpretation of what happens when a person registers as an organ donor in an opt-in system is that she gives her consent to the state to posthumously remove her organs for transplantation purposes. Call this the Authorization Account. Second, given the Authorization Account, I argue by analogy that when families veto an individual’s decision to donate and the individual’s organs are not in the end removed, neither the doctors nor the family violate the individual’s autonomy in any morally objectionable sense. Call this the Nonremoval Thesis. I argue that since the Nonremoval Thesis is true, we do not violate or fail to respect the autonomy of registered donors when we fail to remove their organs because their family has objected. (shrink)

In this paper, I will discuss what I will call “skeptical pragmatic invariantism” as a potential response to the intuitions we have about scenarios such as the so-called bank cases. SPI, very roughly, is a form of epistemic invariantism that says the following: The subject in the bank cases doesn’t know that the bank will be open. The knowledge ascription in the low standards case seems appropriate nevertheless because it has a true implicature. The goal of this paper is to (...) show that SPI is mistaken. In particular, I will show that SPI is incompatible with reasonable assumptions about how we are aware of the presence of implicatures. Such objections are not new, but extant formulations are wanting for reasons I will point out below. One may worry that refuting SPI is not a worthwhile project given that this view is an implausible minority position anyway. To respond, I will argue that, contrary to common opinion, other familiar objections to SPI fail and, thus, that SPI is a promising position to begin with. (shrink)

In chapter 3 of Wittgenstein on Rules and Private Language, Kripke’s Wittgenstein offers a “sceptical solution" to the sceptical paradox about meaning developed in chapter 2 (according to which there are no facts in virtue of which ascriptions of meaning such as “Jones means addition by ‘+’” can be true). Although many commentators have taken the sceptical solution to be broadly analogous to non-factualist theories in other domains, such as non-cognitivism or expressivism in metaethics, the nature of the sceptical solution (...) has not been well-understood. The main aim of this paper is to advance our understanding of the nature of the non-factualism about meaning proposed in the sceptical solution. It attempts to outline some desiderata that should be respected by interpretations of the sceptical solution and considers two objections raised against it in Barry Stroud’s paper “Wittgenstein on Meaning, Understanding and Community". It attempts to correct misconstruals of the sceptical solution that have been promulgated by Davidson and some of his followers and suggests that the sceptical solution developed by Kripke’s Wittgenstein is best viewed as a form of quasi-realism about meaning. It ends by outlining what it takes to be the most pressing challenges facing the sceptical solution. (shrink)

Conventional wisdom has it that truth is always evaluated using our actual linguistic conventions, even when considering counterfactual scenarios in which different conventions are adopted. This principle has been invoked in a number of philosophical arguments, including Kripke’s defense of the necessity of identity and Lewy’s objection to modal conventionalism. But it is false. It fails in the presence of what Einheuser (2006) calls c-monsters, or convention-shifting expressions (on analogy with Kaplan’s monsters, or context-shifting expressions). We show that c-monsters naturally (...) arise in contexts, such as metalinguistic negotiations, where speakers entertain alternative conventions. We develop an expressivist theory—inspired by Barker (2002) and MacFarlane (2016) on vague predications and Einheuser (2006) on counterconventionals—to model these shifts in convention. Using this framework, we reassess the philosophical arguments that invoked the conventional wisdom. (shrink)

Effective quantum field theories are effective insofar as they apply within a prescribed range of length-scales, but within that range they predict and describe with extremely high accuracy and precision. The effectiveness of EFTs is explained by identifying the features—the scaling behaviour of the parameters—that lead to effectiveness. The explanation relies on distinguishing autonomy with respect to changes in microstates, from autonomy with respect to changes in microlaws, and relating these, respectively, to renormalizability and naturalness. It is claimed that the (...) effectiveness of EFTs is a consequence of each theory’s autonomyms rather than its autonomyml.1Introduction2Renormalizability2.1Explaining renormalizability3Naturalness3.1An unnatural but renormalizable theory4Two Kinds of Autonomy5The Effectiveness of Effective Quantum Field Theories6Conclusion. (shrink)

We develop and defend a new approach to counterlogicals. Non-vacuous counterlogicals, we argue, fall within a broader class of counterfactuals known as counterconventionals. Existing semantics for counterconventionals, 459–482 ) and, 1–27 ) allow counterfactuals to shift the interpretation of predicates and relations. We extend these theories to counterlogicals by allowing counterfactuals to shift the interpretation of logical vocabulary. This yields an elegant semantics for counterlogicals that avoids problems with the usual impossible worlds semantics. We conclude by showing how this approach (...) can be extended to counterpossibles more generally. (shrink)

A counterpossible is a counterfactual with an impossible antecedent. Counterpossibles present a puzzle for standard theories of counterfactuals, which predict that all counterpossibles are semantically vacuous. Moreover, counterpossibles play an important role in many debates within metaphysics and epistemology, including debates over grounding, causation, modality, mathematics, science, and even God. In this article, we will explore various positions on counterpossibles as well as their potential philosophical consequences.

Most students of Tocqueville know of his remark, “There are three men with whom I live a little every day; they are Pascal, Montesquieu, and Rousseau.” In this paper I trace out the contours of Pascal’s influence upon Tocqueville’s understanding of the human condition and our appropriate response to it. Similar temperaments lead both Tocqueville and Pascal to emphasize human limitations and contingency, as Peter Lawler rightly emphasizes. Tocqueville and Pascal both emphasize mortality, ignorance of the most important subjects, the (...) effects of historical contingency on what we take to be human nature, and both represent the complex internal dynamic of human nature in terms of the interplay of “angel” and “brute.” The most important difference between them concerns their relative estimates of human power and the significance of human action. Whereas the motif of human weakness is fundamental for Pascal, Tocqueville repeatedly affirms that, under the right conditions, human beings are “powerful and free.” Beginning from Pascalian premises, and endeavoring to be more faithful to some of those premises than Pascal himself was, Tocqueville aims to illuminate the possibility of an amelioration of the human condition through a “new political science” that redeems the political realm without divinizing it. -/- . (shrink)

A counteridentical is a counterfactual with an identity statement in the antecedent. While counteridenticals generally seem non-trivial, most semantic theories for counterfactuals, when combined with the necessity of identity and distinctness, attribute vacuous truth conditions to such counterfactuals. In light of this, one could try to save the orthodox theories either by appealing to pragmatics or by denying that the antecedents of alleged counteridenticals really contain identity claims. Or one could reject the orthodox theory of counterfactuals in favor of a (...) hyperintensional semantics that accommodates non-trivial counterpossibles. In this paper, I argue that none of these approaches can account for all the peculiar features of counteridenticals. Instead, I propose a modified version of Lewis’s counterpart theory, which rejects the necessity of identity, and show that it can explain all the peculiar features of counteridenticals in a satisfactory way. I conclude by defending the plausibility of contingent identity from objections. (shrink)

In the study of modal and nonclassical logics, translations have frequently been employed as a way of measuring the inferential capabilities of a logic. It is sometimes claimed that two logics are “notational variants” if they are translationally equivalent. However, we will show that this cannot be quite right, since first-order logic and propositional logic are translationally equivalent. Others have claimed that for two logics to be notational variants, they must at least be compositionally intertranslatable. The definition of compositionality these (...) accounts use, however, is too strong, as the standard translation from modal logic to first-order logic is not compositional in this sense. In light of this, we will explore a weaker version of this notion that we will call schematicity and show that there is no schematic translation either from first-order logic to propositional logic or from intuitionistic logic to classical logic. (shrink)

This article examines two questions about scientists’ search for knowledge. First, which search strategies generate discoveries effectively? Second, is it advantageous to diversify search strategies? We argue pace Weisberg and Muldoon, “Epistemic Landscapes and the Division of Cognitive Labor”, that, on the first question, a search strategy that deliberately seeks novel research approaches need not be optimal. On the second question, we argue they have not shown epistemic reasons exist for the division of cognitive labor, identifying the errors that led (...) to their conclusions. Furthermore, we generalize the epistemic landscape model, showing that one should be skeptical about the benefits of social learning in epistemically complex environments. (shrink)

The universality of critical phenomena is best explained by appeal to the Renormalisation Group (RG). Batterman and Morrison, among others, have claimed that this explanation is irreducible. I argue that the RG account is reducible, but that the higher-level explanation ought not to be eliminated. I demonstrate that the key assumption on which the explanation relies – the scale invariance of critical systems – can be explained in lower-level terms; however, we should not replace the RG explanation with a bottom-up (...) account, rather we should acknowledge that the explanation appeals to dependencies which may be traced down to lower levels. (shrink)

I develop an expressivist account of verbal disagreements as practical disagreements over how to use words rather than factual disagreements over what words actually mean. This account enjoys several advantages over others in the literature: it can be implemented in a neo-Stalnakerian possible worlds framework; it accounts for cases where speakers are undecided on how exactly to interpret an expression; it avoids appeals to fraught notions like subject matter, charitable interpretation, and joint-carving; and it naturally extends to an analysis of (...) metalinguistic negotiations. (shrink)

Modeling mechanisms is central to the biological sciences – for purposes of explanation, prediction, extrapolation, and manipulation. A closer look at the philosophical literature reveals that mechanisms are predominantly modeled in a purely qualitative way. That is, mechanistic models are conceived of as representing how certain entities and activities are spatially and temporally organized so that they bring about the behavior of the mechanism in question. Although this adequately characterizes how mechanisms are represented in biology textbooks, contemporary biological research practice (...) shows the need for quantitative, probabilistic models of mechanisms, too. In this paper we argue that the formal framework of causal graph theory is well-suited to provide us with models of biological mechanisms that incorporate quantitative and probabilistic information. On the ba-sis of an example from contemporary biological practice, namely feedback regulation of fatty acid biosynthesis in Brassica napus, we show that causal graph theoretical models can account for feedback as well as for the multi-level character of mechanisms. However, we do not claim that causal graph theoretical representations of mechanisms are advantageous in all respects and should replace common qualitative models. Rather, we endorse the more balanced view that causal graph theoretical models of mechanisms are useful for some purposes, while being insufficient for others. (shrink)

Otto Neurath’s empiricist methodology of economics and his contributions to politi- cal economy have gained increasing attention in recent years. We connect this research with contemporary debates regarding the epistemological status of thought experiments by reconstructing Neurath’s utopias as linchpins of thought experiments. In our three reconstructed examples of different uses of utopias/dystopias in thought experiments we employ a reformulation of Häggqvist’s model for thought experiments and we argue that: (1) Our reformulation of Häggqvist’s model more adequately complies with many (...) uses of thought experiments, especially with the open-ended discussions of utopias and dys- topias in thought experiments. (2) As a strict logical empiricist, Neurath is committed to a strictly empiricist account of thought experiments. John Norton’s empiricist argument view can indeed account for the justifications of empirical beliefs and genuine discoveries targeted by scientific utopianism in three distinct (yet connected) ways, all of which Neur- ath already contemplated: (2.I) Dealing with utopias and thought experiments on a regular basis increases creativity and inventiveness. (2.II) Particular ways of presenting knowl- edge facilitate scientific discovery and social progress. (2.III) The use of utopias in thought experiments can prompt conceptual change and allow access to new phenomena. We con- clude by highlighting that, even though thought experiments support a positive attitude for exploring new social possibilities, Neurath points out that active decisions are unavoidable. The exploration of alternatives and the awareness of a need for decisions in policy discus- sion avert a technocratic outlook in social science. (shrink)

Pattern-based reasons are reasons for action deriving not from the features of our own actions, but from the features of the larger patterns of action in which we might be participating. These reasons might relate to the patterns of action that will actually be carried out, or they might relate to merely hypothetical patterns. In past work, I have argued that accepting merely hypothetical pattern-based reasons, together with a plausible account of how to weigh these reasons, can lead to disastrous (...) consequences. However, in this article, I argue that this problem is not limited to hypothetical pattern-based reasons: it turns out that there are analogous issues for reasons deriving from actual patterns. I then suggest that we can avoid this problem by adopting a different account of the weight of pattern-based reasons. (shrink)

ABSTRACT It has become standard to conceive of metalinguistic disagreement as motivated by a form of negotiation, aimed at reaching consensus because of the practical consequences of using a word with one content rather than another. This paper presents an alternative motive for expressing and pursuing metalinguistic disagreement. In using words with given criteria, we betray our location amongst social categories or groups. Because of this, metalinguistic disagreement can be used as a stage upon which to perform a social identity. (...) The ways in which metalinguistic disagreements motivated in this way diverge in character from metalinguistic negotiations are described, as are several consequences of the existence of metalinguistic disagreements motivated in this way. (shrink)

This essay fills in some historical, conceptual, and pedagogical gaps that appear in the most visible and recent professional efforts to “revive” Philosophy as a Way of Life (PWOL). I present “American Philosophy and Self-Culture” as an advanced undergraduate seminar that broadens who counts in and what counts as philosophy by immersing us in the lives, writings, and practices of seven representative U.S.-American philosophers of self-culture, community-building, and world-changing: Benjamin Franklin (1706–1790), Frederick Douglass (1818–1895), William Ellery Channing (1780–1842), Henry David (...) Thoreau (1817–1862), Margaret Fuller (1810-1850), Henry Bugbee (1915–1999), and Gloria Anzaldúa (1942–2004). Students enter the class with preconceptions about who philosophers are, what they do, how they write, and the languages in which they write. Students walk out with new senses of self, place, and language that emerge through new ways of seeing, doing, and writing philosophy. (shrink)

Recent discussions of emergence in physics have focussed on the use of limiting relations, and often particularly on singular or asymptotic limits. We discuss a putative example of emergence that does not fit into this narrative: the case of phonons. These quasi-particles have some claim to be emergent, not least because the way in which they relate to the underlying crystal is almost precisely analogous to the way in which quantum particles relate to the underlying quantum field theory. But there (...) is no need to take a limit when moving from a crystal lattice based description to the phonon description. Not only does this demonstrate that we can have emergence without limits, but also provides a way of understanding cases that do involve limits. (shrink)