Aristotle is said to have held that any kind of actual infinity is impossible. I argue that he was a finitist (or "potentialist") about _magnitude_, but not about _plurality_. He did not deny that there are, or can be, infinitely many things in actuality. If this is right, then it has implications for Aristotle's views about the metaphysics of parts and points.

When we dream, we feel emotions in response to objects and events that exist only in the dream. What should we say about these emotions? One key question is whether these emotions can be said to be ‘fitting’, that is, appropriate to the evoking scenario. However, how we evaluate these emotions for fittingness may depend on the nature of dreams. According to the imagination model, dreamers do not believe that dream objects are real or that dream events are really happening. (...) In contrast, the hallucination model suggests that we falsely believe dream events are real and many of these beliefs are irrational. Under these conditions, an interesting possibility arises: dream emotions may be “essentially unfitting”, or in other words, feeling emotions in response to dream events is always unfitting. If fittingness requires a match between emotion and evaluative properties of objects or events, it is prima facie plausible that dream emotions could fail to fit under the imagination model because it is unfitting to have an emotion towards an object we do not believe to be real. Further, under the hallucination model, dream emotions could be unfitting because their objects do not exist even if we believe them to be real, or alternatively, because of the irrational nature of dream beliefs. More nuance, however, is required. By comparing dream emotions to the emotions we experience while imagining, engaging with fiction, and hallucinating, we evaluate the possibility of essential unfittingness of dream emotions. We conclude that although there are compelling arguments in support of the claim that dream emotions are essentially unfitting, these arguments are not entirely convincing, and it is more plausible that particular dream emotions can be assessed for fittingness under either model of dreaming. (shrink)

Region R Question: How many objects — entities, things — are contained in R? Ignore the empty space. Our question might better be put, 'How many material objects does R contain?' Let's stipulate that A, B and C are metaphysical atoms: absolutely simple entities with no parts whatsoever besides themselves. So you don't have to worry about counting a particle's top half and bottom half as different objects. Perhaps they are 'point-particles', with no length, width or breadth. Perhaps they are (...) extended in space without possessing spatial parts (if that is possible). Never mind. We stipulate that A, B and C are perfectly simple. We also stipulate that they are connected as follows. A and B are stuck together in such a way that when a force is applied to one of them, they move together 'as a unit'. Moreover, the two of them together exhibit behavior that neither would exhibit on its own — Perhaps they emit a certain sound, or glow in the dark — whereas C is.. (shrink)

The first part of my hypothesis, then, is simple enough, and would be accepted in principle by most students of Plato: the dramatic structure of the dialogues is an essential part of their philosophical meaning. With respect to the poetic and mathematical aspects of philosophy, we may distinguish three general kinds of dialogue. For example, consider the Sophist and Statesman, where Socrates is virtually silent: the principal interlocutors are mathematicians and an Eleatic Stranger, a student of Parmenides, although one who (...) is not always loyal to his master's teaching of what might be called monadic homogeneity. In these dialogues, the mathematical character of philosophy is not merely emphasized but exaggerated, and any attempt to interpret them must take this fact into account. Otherwise, we shall not be able to understand why the Stranger seems to classify the general's art in the same species of the genus hunting as the louse catcher. The significance of this step, which does not stem from humanitarian considerations, but rather illustrates how the human becomes invisible from the mathematical viewpoint, contributes its share to the obscurity of these two dialogues. Second, there are dialogues like the Phaedrus and Symposium, in which the style, the interlocutors, and even the subject-matter seem to be largely poetic and rhetorical. Here, the overwhelming impression is of enthusiasm, divine madness, and intoxication in speech and deed. Finally, there are dialogues like the Philebus and Republic, in which it is not so easy to say whether poetry or mathematics predominates, if indeed either may be said to do so. (shrink)

On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: the beach would be infinitely large; the beach would be impossible to walk across; the beach would contain a part equal to the whole, whereas parts must be lesser. It is attempted to show that none of these arguments (...) was Aristotle’s. Indeed, perhaps Aristotle’s finitism applied to magnitude only, not plurality. (shrink)

I consider the question of the possibility of the coexistence of neighborly love (love for strangers) and preferential love (love for persons because of or despite their attributes). This question has long perplexed interpreters of Kierkegaard. I make a threefold intervention into this interpretive debate. First, I aim to show that we shouldn’t privilege preferential love over neighborly love. Second, I reformulate preferential and neighborly love on a ‘topological’ model, so as to get a better grip on them. And third, (...) I argue that preferential love can coexist with neighborly love insofar as the latter is granted primacy over the former. (shrink)

Other people figure in our experience of the world; they strike us as unique and gen- uinely other. This paper explores whether a Husserlian account of empathy as the way in which we constitute an intersubjective world can account for the uniqueness and otherness of other people in our experience. I contend that it can’t. I begin by explicating Husserl’s theory of empathy, paying particular attention to the reduction to a purely egoic sphere and the steps that ostensibly permit a (...) subject to re-inhabit a world of others from out of this sphere. In querying Husserl’s theory, I consider a series of problems, raised by Zhida Luo, concerning the apparent centrality of bod- ily similarity in empathy. I sketch Luo’s solution, which involves a shift to tactile similarity. While it makes for a better theory of empathy, this solution isn’t sufficient to make room for the givenness of another person not originally predicated on simi- larity. To clarify what’s at issue here, I turn to the Husserlian pictures of empathy presented by Heinz Kohut and Edith Stein. I conclude with a remark about what might be required, given the inability of Husserlian empathy to make room for the experience of others as singular and other, for a picture of our phenomenal life to have a shape that accounts for the coexistence of empathy to others who are like oneself and hospitality to others as genuine others. (shrink)

Recursion or self-reference is a key feature of contemporary research and writing in semiotics. The paper begins by focusing on the role of recursion in poststructuralism. It is suggested that much of what passes for recursion in this field is in fact not recursive all the way down. After the paradoxical meaning of radical recursion is adumbrated, topology is employed to provide some examples. The properties of the Moebius strip prove helpful in bringing out the dialectical nature of radical recursion. (...) The Moebius is employed to explore the recursive interplay of terms that are classically regarded as binary opposites: identity and difference, object and subject, continuity and discontinuity, etc. To realize radical recursion in an even more concrete manner, a higher-dimensional counterpart of the Moebius strip is utilized, namely, the Klein bottle. The presentation concludes by enlisting phenomenological philosopher Maurice Merleau-Ponty’s concept of depth to interpret the Klein bottle’s extra dimension. (shrink)

I propose a distinction between two concepts: affliction and atrocity. I argue that an ethical position with respect to history’s horrors can be understood as a practice of refusing to permit affliction to be seen as atrocity. This is a practice of resisting the urge to quantify or qualify affliction in subjecting it to a count of bodies, which would be taken to totalize all the suffering in a given situation. We should, I contend, resist thinking that affliction qualified as (...) atrocity, subject to a count of bodies or the like, captures affliction itself. I then discuss several instances of the qualification of affliction as atrocity, including the Sétif and Guelma massacre, the crucifixion of Christ, and the biblical story of the bondage of the Israelites in Egypt. I conclude by making a case that it’s ethically imperative that we recollect the self’s abnegation to those who aren’t counted, those who can’t be counted because they are afflicted without atrocity. (shrink)

This is a collection of essays from contemporary philosophers, artists, and writers on the intersection of speculative philosophy and speculative horror fiction. The book contains fourteen essays and an introduction. I edited the book and wrote the introduction. Topics considered include human extinction; anonymity, otherness, and alienation; whether horror is a genre; and the relationship between speculation and Kant’s critical philosophy.

Episodic memory (memories of the personal past) and prospecting the future (anticipating events) are often described as mental time travel (MTT). While most use this description metaphorically, we argue that episodic memory may allow for MTT in at least some robust sense. While episodic memory experiences may not allow us to literally travel through time, they do afford genuine awareness of past-perceived events. This is in contrast to an alternative view on which episodic memory experiences present past-perceived events as mere (...) intentional contents. Hence, episodic memory is a way of coming into experiential contact with, or being again aware of, what happened in the past. We argue that episodic memory experiences depend on a causal-informational link with the past events being remembered, and that, assuming direct realism about episodic memory experiences, this link suffices for genuine awareness. Since there is no such link in future prospection, a similar argument cannot be used to show that it also affords genuine awareness of future events. Constructivist views of memory might challenge the idea of memory as genuine awareness of remembered events. We explain how our view is consistent with both constructivist and anti-causalist conceptions of memory. There is still room for an interpretation of episodic memory as enabling genuine awareness of past events, even if it involves reconstruction. (shrink)

This paper takes up a neglected problem for metaethical noncognitivism: the characterization of the acceptance states for agent-centered normative theories like Rational Egoism. If Egoism is a coherent view, the non-cognitivist needs a coherent acceptance state for it. This can be provided, as Dreier and Gibbard have shown. But those accounts fail when generalized, assigning the same acceptance state to normative theories that are clearly distinct, or assigning no acceptance state to theories that look to be intelligible. The paper makes (...) the case for this and then asks: What should we conclude if the problem cannot be solved? We might conclude that since Egoism is clearly a coherent view, the argument amounts to a refutation of noncognitivism. But we suggest another possibility. There is, on reflection, something incoherent, or at least odd, in standard formulations of Egoism; noncognitivism predicts this and so provides an intriguing explanation for this fact. (shrink)

Integrative and naturalistic philosophy of mind can both learn from and contribute to the contemporary cognitive sciences of dreaming. Two related phenomena concerning self-representation in dreams demonstrate the need to bring disparate fields together. In most dreams, the protagonist or dream self who experiences and actively participates in dream events is or represents the dreamer: but in an intriguing minority of cases, self-representation in dreams is displaced, disrupted, or even absent. Working from dream reports in established databanks, we examine two (...) key forms of polymorphism of self-representation: dreams in which I take an external visuospatial perspective on myself, and those in which I take someone else's perspective on events. In remembering my past experiences or imagining future or possible experiences when awake, I sometimes see myself from an external or 'observer' perspective. By relating the issue of perspective in dreams to established research traditions in the study of memory and imagery, and noting the flexibility of perspective in dreams, we identify new lines of enquiry. In other dreams, the dreamer does not appear to figure at all, and the first person perspective on dream events is occupied by someone else, some other person or character. We call these puzzling cases 'vicarious dreams' and assess some potential ways to make sense of them. Questions about self-representation and perspectives in dreams are intriguing in their own right and pose empirical and conceptual problems about the nature of self-representation with implications beyond the case of dreaming. (shrink)

I propose a narrative fabrication thesis of dream reports, according to which dream reports are often not accurate representations of experiences that occur during sleep. I begin with an overview of anti-experience theses of Norman Malcolm and Daniel Dennett who reject the received view of dreams, that dreams are experiences we have during sleep which are reported upon waking. Although rejection of the first claim of the received view, that dreams are experiences that occur during sleep, is implausible, I evaluate (...) in more detail the second assumption of the received view, that dream reports are generally accurate. I then propose a “narrative fabrication” view of dreams as an alternative to the received view. Dream reports are often confabulated or fabricated because of poor memory, bizarre dream content, and cognitive deficits. It is well documented that narratives can be altered between initial rapid eye movement sleep awakenings and subsequent reports. I argue that we have reason to suspect that initial reports are prone to inaccuracy. Experiments demonstrate that subjects rationalize strange elements in narratives, leaving out supernatural or bizarre components when reporting waking memories of stories. Inaccuracies in dream reports are exacerbated by rapid memory loss and bizarre dream content. Waking memory is a process of reconstruction and blending of elements, but unlike waking memory, we cannot reality-test for dream memories. Dream experiences involve imaginative elements, and dream content cannot be verified with external evidence. Some dreams may involve wake-like higher cognitive functions, such as lucid dreams. Such dreams are more likely to elicit accurate reports than cognitively deficient dreams. However, dream reports are generally less accurate than waking reports. I then propose methods which could verify the narrative fabrication view, and argue that although the theory cannot be tested with current methods, new techniques and technologies may be able to do so in the future. -/- . (shrink)

The intuitive view that memories are characterized by a feeling of pastness, perceptions by a feeling of presence, while imagination lacks either faces challenges from two sides. Some researchers complain that the “feeling of pastness” is either unclear, irrelevant or isn’t a real feature. Others point out that there are cases of memory without the feeling of pastness, perception without presence, and other cross-cutting cases. Here we argue that the feeling of pastness is indeed a real, useful feature, and although (...) this feeling does not define memory ontologically, it is a characteristic marker which helps us easily categorise a mental state first-personally. We outline several cognitive features that underlie this experience, including the feeling of past accessibility, ergonomic significance, immersion, objectivity and mental strength. Our account is distinctly phenomenal, rather than doxastic, although our web of beliefs may contribute to this experience. (shrink)

This paper takes as its point of departure recent research into the possibility that human beings can perceive single photons. In order to appreciate what quantum perception may entail, we first explore several of the leading interpretations of quantum mechanics, then consider an alternative view based on the ontological phenomenology of Maurice Merleau-Ponty and Martin Heidegger. Next, the philosophical analysis is brought into sharper focus by employing a perceptual model, the Necker cube, augmented by the topology of the Klein bottle. (...) This paves the way for addressing in greater depth the paper’s central question: Just what would it take to observe the quantum reality of the photon? In formulating an answer, we examine the nature of scientific objectivity itself, along with the paradoxical properties of light. The conclusion reached is that quantum perception requires a new kind of observation, one in which the observer of the photon adopts a concretely self-reflexive observational posture that brings her into close ontological relationship with the observed. (shrink)

To what extent do I have a sense of agency over my thoughts while I dream? The sense of agency in dreams can alter in a variety of interesting ways distinct from normal, waking experience. In fact, dreams show many similarities to the experiences of individuals with schizophrenia. In this paper I analyze these alterations with a focus on distinguishing between reduced sense of agency and other cognitive features such as metacognition, confabulation and attention. I argue that some dream reports (...) demonstrate two interesting commonalities with schizophrenia: thought insertion (TI) and auditory hallucination (AH). This line of research has the potential to further our understanding of TI and AH in schizophrenia through the analysis of similar experience in a different conscious state. Through the analysis of dream reports, I found that although TI and AH both occur in dreams, TI is very rare. This is an interesting result since TI is common in patients with schizophrenia. I propose two speculative lines of explanation for the rarity of TI in dreams: first, the cognitive differences between the symptoms of schizophrenia and dreams, and second, the problem of dream reporting conditions. Dream reporting conditions are particularly important, as without controls, reports can be vague. Analysis of dream reports reveals that it is often unclear whether 'hearing voices' indicates sound phenomenology or thought phenomenology. I propose that dream reports could be disambiguated given the right experimental conditions and I suggest how this could be achieved in future experimental research. (shrink)

According to one sort of epistemic relativist, normative epistemic claims (e.g., evidence E justifies hypothesis H) are never true or false simpliciter, but only relative to one or another epistemic system. In chapter 6 of Fear of Knowledge, Paul Boghossian objects to this view on the ground that its central notions cannot be explained, and that it cannot account for the normativity of epistemic discourse. This paper explores how the dogged relativist might respond.

This paper seeks to extend my recent work on quantum perception (Rosen, 2021) to the phenomenon of quantum entanglement. In the first section, I summarize the earlier work, noting how the conventional approach to observing photons is rooted in an objectivist philosophy that serves as an obstacle to probing the underlying quantum reality. In the summary provided, I bring out the intimate relationship between observer and observed in the quantum world, and the need for a new, proprioceptive mode of (...) observation linked to phenomenological philosophy. The second part of the paper builds on the earlier effort by applying the proprioceptive observation of photons to the phenomenon of entanglement. The basic proposition is that proprioceptive observers of entangled photons may become entangled with each other. I propose an experiment that tests this hypothesis. In concluding, I explore the possibility that a quantum internet of proprioceptively engaged participants could create an ontologically entangled society. (shrink)

Aristotle offers several arguments in Physics viii.8 for his thesis that, when something moves back and forth, it does not undergo a single motion. These arguments occur against the background of a sophisticated theory, expounded in Physics v—vi, of the basic structure of motions and of other continuous entities such as times and magnitudes. The arguments in Physics viii.8 stand in a complex relation to that theory. On the one hand, Aristotle evidently relies on the theory in a number of (...) crucial steps. Yet in other steps he seems to contradict or misapply the theory. This situation offers the occasion to examine Aristotle’s views about some fundamentals in the metaphysics of motion, while also raising questions about the unity of the text which has come down to us as the Physics. (shrink)

In the author’s previous contribution to this journal (Rosen 2015), a phenomenological string theory was proposed based on qualitative topology and hypercomplex numbers. The current paper takes this further by delving into the ancient Chinese origin of phenomenological string theory. First, we discover a connection between the Klein bottle, which is crucial to the theory, and the Ho-t’u, a Chinese number archetype central to Taoist cosmology. The two structures are seen to mirror each other in expressing the psychophysical (phenomenological) (...) action pattern at the heart of microphysics. But tackling the question of quantum gravity requires that a whole family of topological dimensions be brought into play. What we find in engaging with these structures is a closely related family of Taoist forebears that, in concert with their successors, provide a blueprint for cosmic evolution. Whereas conventional string theory accounts for the generation of nature’s fundamental forces via a notion of symmetry breaking that is essentially static and thus unable to explain cosmogony successfully, phenomenological/Taoist string theory entails the dialectical interplay of symmetry and asymmetry inherent in the principle of synsymmetry. This dynamic concept of cosmic change is elaborated on in the three concluding sections of the paper. Here, a detailed analysis of cosmogony is offered, first in terms of the theory of dimensional development and its Taoist (yin-yang) counterpart, then in terms of the evolution of the elemental force particles through cycles of expansion and contraction in a spiraling universe. The paper closes by considering the role of the analyst per se in the further evolution of the cosmos. (shrink)

Quakers express their faith by refraining from war, often actively opposing it. In modern Quakerism, this is known as the ‘Peace Testimony’. This commonly has a negative and positive construal: it is seen as a testimony against war, and as a testimony to the possibility and goodness of peaceful lives. This paper offers an account of how these aspects of the Peace Testimony are unified in and grounded on a corporate experience of being led by God into a way of (...) life that renders war unthinkable. My goal is to make sense of Friends’ activism in light of their religious experience and to introduce some ideas from Quaker practical theology to philosophers and theologians more generally. I begin by considering the role of what Rachel Muers calls ‘negative testimony’ in Quaker peace work, arguing that we risk misunderstanding this work if we do not see the unity of the Peace Testimony’s negativity and Friends’ positive peace-making endeavors. I then turn to the Testimony’s ground, which I claim can be nothing other than an experience of direct revelation. I conclude by arguing that prominent objections to pacifism, such as Elizabeth Anscombe’s, hold little weight against the Peace Testimony. (shrink)

This essay discusses the role that welcoming and hospitality play in communal and political life, and the role they ought to play. It also considers the relationship between ethics in its concern for hospitality to those who are different and politics in its concern for collective understanding and the solidification of group identities.

​This article considers the place of moral concerns about hospitality and welcoming in the politics of the Ejército Zapatista de Liberación Nacional (Zapatista Army of National Liberation, or EZLN). I argue that the EZLN’s political model exemplifies some of what I think to be characteristic of the ideal relationship between politics, concerned with sameness and collective identities, and ethics, concerned with hospitality to those who are genuinely different.

Hvad der sker i vores sovende hjerner, kan være et mareridt at tyde for en drømmeforsker. Og vi er desværre elendige til at huske det, når vi vågner. Heldigvis kan teknologien hjælpe med at løfte sløret for, hvad der foregår, mens vi ligger og trækker torsk i land. Nogle drømme er dybt bizarre. Andre fører til Nobelpriser. Og så er der dem, som bare er pinlige. De sidste vil vi nødig sende i en hjernescanner. Ifølge Melanie Gillespie Rosen, lysvågen (...) filosof ved Aarhus Universitet, handler de fleste drømme om noget så søvndyssende som arbejde. (shrink)

The is the Editorial of the 2015 JPBMB Special Issue on Integral Biomathics: Life Sciences, Mathematics and Phenomenological Philosophy.

Malink’s interpretation is designed to validate Aristotle’s claims of validity and invalidity of syllogistic-style arguments, as well as his conversion claims. The remaining sorts of claims in Aristotle's text are allowed to fall out as they may. Thus, not all of Aristotle’s examples turn out correct: on some occasions, Aristotle claims that a given pair of terms yields a true (false) sentence of a given type although, under Malink’s interpretation, the sentence in question is false (true). Similarly, some of Aristotle’s (...) claims of invalidity of nonsyllogistic-style arguments come out false. For example, under Malink’s interpretation, ‘A applies to all B’ and ‘B necessarily applies to all C’ entail ‘A necessarily applies to some B’, contrary to what Aristotle says. (shrink)

The fracture in the emerging discipline of biosemiotics when the code biologist Marcello Barbieri claimed that Peircian biosemiotics is not genuine science raises anew the question: What is science? When it comes to radically new approaches in science, there is no simple answer to this question, because if successful, these new approaches change what is understood to be science. This is what Galileo, Darwin and Einstein did to science, and with quantum theory, opposing interpretations are not merely about what theory (...) is right, but what is real science. Peirce's work, as he acknowledged, is really a continuation of efforts of Schelling to challenge the heritage of Newtonian science for the very good reason that the deep assumptions of Newtonian science had made sentient life, human consciousness and free will unintelligible, the condition for there being science. Pointing out the need for such a revolution in science has not succeeded as a defence of Peircian biosemiotics, however. In this paper, I will defend the scientific credentials of Peircian biosemiotics by relating it to the theoretical biology of the bio-mathematician, Robert Rosen. Rosen's relational biology, focusing on anticipatory systems and giving a place to final causes, should also be seen as a rigorous development of the Schellingian project to conceive nature in such a way that the emergence of sentient life, mind and science are intelligible. Rosen has made a very strong case for the characterization of his ideas as a real advance not only in science, but in how science should be understood, and I will argue that it is possible to provide a strong defence of Peircian biosemiotics as science through Rosen's defence of relational biology. In the process, I will show how biosemiotics can and should become a crucial component of anticipatory systems theory. (shrink)

First, I briefly recapitulate the main points of Rosen’s article, namely, that the word “Being” does not adequately signify the paradoxical unification of subject and object and that the Klein bottle can serve as a more appropriate sign -vehicle than the word. I then propose to apply his insight more widely; however, in order to do that, it is first necessary to identify infra- and exostructures of language, including culture, category structure, logic, metaphor, semantics, syntax, concept, and sign vehicles, (...) that preserve the status quo and keep subject and object disjunct. After analyzing those infra/exostructures, I engage a complementary process of integrating them, coagula, in order to spark ideas for innovating ways in which more of those facets of language can embrace paradox. (shrink)

The aim of this paper is to describe and analyze the epistemological justification of a proposal initially made by the biomathematician Robert Rosen in 1958. In this theoretical proposal, Rosen suggests using the mathematical concept of “category” and the correlative concept of “natural equivalence” in mathematical modeling applied to living beings. Our questions are the following: According to Rosen, to what extent does the mathematical notion of category give access to more “natural” formalisms in the modeling of (...) living beings? Is the so -called “naturalness” of some kinds of equivalences (which the mathematical notion of category makes it possible to generalize and to put at the forefront) analogous to the naturalness of living systems? Rosen appears to answer “yes” and to ground this transfer of the concept of “natural equivalence” in biology on such an analogy. But this hypothesis, although fertile, remains debatable. Finally, this paper makes a brief account of the later evolution of Rosen’s arguments about this topic. In particular, it sheds light on the new role played by the notion of “category” in his more recent objections to the computational models that have pervaded almost every domain of biology since the 1990s. (shrink)

From conceptual point of view, we argue about the nature of reality inferred from EPR argument in quantum mechanics.

The violation of Bell inequalities by quantum physical experiments disproves all relativistic micro causal, classically real models, short Local Realistic Models (LRM). Non-locality, the infamous “spooky interaction at a distance” (A. Einstein), is already sufficiently ‘unreal’ to motivate modifying the “realistic” in “local realistic”. This has led to many worlds and finally many minds interpretations. We introduce a simple many world model that resolves the Einstein Podolsky Rosen paradox. The model starts out as a classical LRM, thus clarifying that (...) the many worlds concept alone does not imply quantum physics. Some of the desired ‘non-locality’, e.g. anti-correlation at equal measurement angles, is already present, but Bell’s inequality can of course not be violated. A single and natural step turns this LRM into a quantum model predicting the correct probabilities. Intriguingly, the crucial step does obviously not modify locality but instead reality: What before could have still been a direct realism turns into modal realism. This supports the trend away from the focus on non-locality in quantum mechanics towards a mature structural realism that preserves micro causality. (shrink)

Gideon Rosen and Robert Schwartzkopff have independently suggested (variants of) the following claim, which is a varian of Hume's Principle: -/- When the number of Fs is identical to the number of Gs, this fact is grounded by the fact that there is a one-to-one correspondence between the Fs and Gs. -/- My paper is a detailed critique of the proposal. I don't find any decisive refutation of the proposal. At the same time, it has some consequences which many (...) will find objectionable. (shrink)

The Brock-Rosen problem has been one of the most thoroughly discussed objections to the modal fictionalism bruited in Gideon Rosen’s ‘Modal Fictionalism’. But there is a more fundamental problem with modal fictionalism, at least as it is normally explained: the position does not resolve the tension that motivated it. I argue that if we pay attention to a neglected aspect of modal fictionalism, we will see how to resolve this tension—and we will also find a persuasive reply to (...) the Brock-Rosen objection. Finally, I discuss an alternative reading of Rosen, and argue that this position is also able to fend off the Brock-Rosen objection. (shrink)

Weakly Aggregative Modal Logic (WAML) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. WAML has some interesting applications on epistemic logic and logic of games, so we study some basic model theoretical aspects of WAML in this paper. Specifically, we give a van Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation and show that each basic WAML system Kn lacks Craig Interpolation.

Hermeneutic fictionalism about mathematics maintains that mathematics is not committed to the existence of abstract objects such as numbers. Mathematical sentences are true, but they should not be construed literally. Numbers are just fictions in terms of which we can conveniently describe things which exist. The paper defends Stephen Yablo’s hermeneutic fictionalism against an objection proposed by John Burgess and Gideon Rosen. The objection, directed against all forms of nominalism, goes as follows. Nominalism can take either a hermeneutic form (...) and claim that mathematics, when rightly understood, is not committed to the existence of abstract objects, or a revolutionary form and claim that mathematics is to be understood literally but is false. The hermeneutic version is said to be untenable because there is no philosophically unbiased linguistic argument to show that mathematics should not be understood literally. Against this I argue that it is wrong to demand that hermeneutic fictionalism should be established solely on the basis of linguistic evidence. In addition, there are reasons to think that hermeneutic fictionalism cannot even be defeated by linguistic arguments alone. (shrink)

Exploration of holy imagination -- touching upon areas of spirituality, time, reality, soul, religion, scripture, memory, poetry, Shlomo Carlebach... (c) 2015 Steven L. Maimes.

Gideon Rosen has recently sketched an argument which aims to establish that the notion of metaphysical modality is systematically ambiguous. His argument contains a crucial sub-argument which has been used to argue for Metaphysical Contingentism, the view that some claims of fundamental metaphysics are metaphysically contingent rather than necessary. In this paper, Rosen’s argument is explicated in detail and it is argued that the most straight-forward reconstruction fails to support its intended conclusion. Two possible ways to save the (...) argument are rebutted and it is furthermore argued that the crucial sub-argument only supports a rather particular variant of Metaphysical Contingentism. (shrink)

Recently, a number of authors have suggested that the epistemic condition on moral responsibility makes blameworthiness much less common than we ordinarily suppose, and much harder to identify. This paper argues that such epistemically based responsibility skepticism is mistaken. Section 2 sketches a general account of moral responsibility, building on the Strawsonian idea that blame and credit relates to the agent’s quality of will. Section 3 explains how this account deals with central cases that motivate epistemic skepticism and how it (...) avoids some objections to quality of will accounts recently raised by Gideon Rosen. But an intuitive worry brought out by these objections remains. Section 4 spells out this remaining worry and argues that, like traditional metaphysical responsibility skepticism, it has its source in a non-standard explanatory perspective on action, suggesting that strategies for explaining away the intuitive pull of traditional skepticism are applicable in this case too. (shrink)

Defending Robert Rosen’s claim that in every confrontation between physics and biology it is physics that has always had to give ground, it is shown that many of the most important advances in mathematics and physics over the last two centuries have followed from Schelling’s demand for a new physics that could make the emergence of life intelligible. Consequently, while reductionism prevails in biology, many biophysicists are resolutely anti-reductionist. This history is used to identify and defend a fragmented but (...) progressive tradition of anti-reductionist biomathematics. It is shown that the mathematicoephysico echemical morphology research program, the biosemiotics movement, and the relational biology of Rosen, although they have developed independently of each other, are built on and advance this antireductionist tradition of thought. It is suggested that understanding this history and its relationship to the broader history of post-Newtonian science could provide guidance for and justify both the integration of these strands and radically new work in post-reductionist biomathematics. (shrink)

Fictionalists maintain that possible worlds, numbers or composite objects exist only according to theories which are useful but false. Hale, Divers and Woodward have provided arguments which threaten to show that fictionalists must be prepared to regard the theories in question as contingently, rather than necessarily, false. If warranted, this conclusion would significantly limit the appeal of the fictionalist strategy rendering it unavailable to anyone antecedently convinced that mathematics and metaphysics concern non-contingent matters. I try to show that their arguments (...) can be resisted by developing and defending a strategy suggested by Rosen, Nolan and Dorr, according to which the fiction-operator is to be analysed in terms of a counterfactual that admits of non-trival truth-values even when the antecedent is impossible. (shrink)