How to Define a Number? A General Epistemological Account of Simon Stevin’s Art of Defining

This paper explores Simon Stevin’s l’Arithmétique of 1585, where we find a novel understanding of the concept of number. I will discuss the dynamics between his practice and philosophy of mathematics, and put it in the context of his general epistemological attitude. Subsequently, I will take a close look at his justificational concerns, and at how these are reflected in his inductive, a postiori and structuralist approach to investigating the numerical field. I will argue that Stevin’s renewed conceptualisation of the notion of number is a sort of “existential closure” of the numerical domain, founded upon the practice of his predecessors and contemporaries. Accordingly, I want to make clear that l’Aritmetique have to be read not as an ontological analysis or exploration of the numerical field, but as an explication of a mathematical ethos. In this sense, this article also intends to make a specific contribution to the broader issue of the “ethics of geometry.”     

Internal,External and Intra-Individual Relations

In this paper I argue that there are in fact external relations in Russell’s sense. The level at which we are forced to acknowledge them is, however, not the level of relations between concrete individual objects. All relations of this kind, which I will call “inter-individual” relations, can be construed as supervenient on the monadic properties of their terms. But if we pursue our ontological analysis a little bit deeper and consider the internal structure of a concrete individual, then we will inevitably find irreducible external relations. I mean for example the relation of instantiation (in the frame of a realist’s theory) or that of concurrence (in the frame of a trope theory). I will show that such “intra-individual” relations – the relations that make up the internal structure of a concrete individual out of more primitive metaphysical “building blocks” like universals or tropes – could not (even in principle) be construed as supervenient. I should like to thank David Frost for brushing up my English and the Austrian Foundation for the Promotion of Scientific Research (FWF) for the financial support.     

Quantum Mechanics and the Plight of Physicalism

The literature on physicalism often fails to elucidate, I think, what the word physical in physicalism precisely means. Philosophers speak at times of an ideal set of fundamental physical facts, or they stipulate that physical means non-mental, such that all fundamental physical facts are fundamental facts pertaining to the non-mental. In this article, I will probe physicalism in the very much tangible framework of quantum mechanics. Although this theory, unlike “ideal physics” or some “final theory of non-mentality”, is an incomplete theory of the world, I believe this analysis will be of value, if for nothing else, at least for bringing some taste of physical reality, as it were, back to the debate. First, I will introduce a broad characterization of the physicalist credo. In Sect. 2, I will provide a rather quick review of quantum mechanics and some of its current interpretations. In Sect. 3, the notion of quantum non-separability will be analyzed, which will facilitate a discussion of the wave function ontology in Sect. 4. In Sects. 5 and 6, I will explore competing views on the implications of this ontology. In Sect. 7, I will argue that the prior results, based on a thoroughly realist interpretation of quantum mechanics, support only a weak version of non-reductive physicalism.     

Civilian Immunity,Supreme Emergency,and Moral Disaster

Any plausible position in the ethics of war and political violence in general will include the requirement of protection of civilians (non-combatants, common citizens) against lethal violence. This requirement is particularly prominent, and particularly strong, in just war theory. Some adherents of the theory see civilian immunity as absolute, not to be overridden in any circumstances whatsoever. Others allow that it may be overridden, but only in extremis. The latter position has been advanced by Michael Walzer under the heading of “supreme emergency.” In this paper, I look into some of the issues of interpretation and application of Walzer’s “supreme emergency” view and some of the criticisms that have been levelled against it. I argue that Walzer’s view is vague and unacceptable as it stands, but that the alternatives proposed by critics such as Brian Orend, C.A.J. Coady, and Stephen Nathanson are also unattractive. I go on to construct a position that is structurally similar to Walzer’s, but more specific and much less permissive, which I term the “moral disaster” view. According to this view, deliberate killing of civilians is almost absolutely wrong.     

The mineness of experience

In this paper I discuss the nature of the “I” (or “self”) and whether it is presupposed by the very existence of conscious experiences (as that which “has” them) or whether it is, instead, in some way constituted by them. I argue for the former view and try to show that the very nature of experience implies a non-constituted synchronic and diachronic transcendence of the experiencing “I” with regard to its experiences, an “I” which defies any objective characterization. Finally I suggest that the self, though irreducible to inter-experiential relations, is not a “separately existing entity”, but should be conceived of as a dimension, namely the dimension of first-personal manifestation of the experiences.

Monads and Mathematics: G?del and Husserl

In 1928 Edmund Husserl wrote that “The ideal of the future is essentially that of phenomenologically based (“philosophical”) sciences, in unitary relation to an absolute theory of monads” (“Phenomenology”, Encyclopedia Britannica draft) There are references to phenomenological monadology in various writings of Husserl. Kurt G?del began to study Husserl’s work in 1959. On the basis of his later discussions with G?del, Hao Wang tells us that “G?del’s own main aim in philosophy was to develop metaphysics—specifically, something like the monadology of Leibniz transformed into exact theory—with the help of phenomenology.” (A Logical Journey: From G?del to Philosophy, p. 166) In the Cartesian Meditations and other works Husserl identifies ‘monads’ (in his sense) with ‘transcendental egos in their full concreteness’. In this paper I explore some prospects for a G?delian monadology that result from this identification, with reference to texts of G?del and to aspects of Leibniz’s original monadology.     

Pragmatic encroachment,stakes, and religious knowledge

It is commonly held that epistemic standards for S’s knowledge that p are affected by practical considerations, such as what is at stake in decisions that are guided by that p. I defend a particular view as to why this is, that is referred to as “pragmatic encroachment.” I then discuss a “new argument against miracles” that uses stakes considerations in order to explore the conditions under which stakes affect the level of epistemic support that is required for knowledge. Finally, I generalize my results to include other religiously significant propositions such as “God exists” and “God does not exist.”     

Michael Smith and the rationality of immoral action

Although it goes against a widespread significant misunderstanding of his view, Michael Smith is one of the very few moral philosophers who explicitly wants to allow for the commonsense claim that, while morally required action is always favored by some reason, selfish and immoral action can also be rationally permissible. One point of this paper is to make it clear that this is indeed Smith’s view. It is a further point to show that his way of accommodating this claim is inconsistent with his well-known “practicality requirement” on moral judgments: the thesis that any rational person will always have at least some motivation to do what she judges to be right. The general conclusion is that no view that, like Smith’s, associates the normative strength of a reason with the motivational strength of an ideal desire will allow for the wide range of rational permissibility that Smith wants to capture. Many thanks to Michael Smith for his friendly and helpful comments on an earlier draft of this paper, and for permission to make a very strong and explicit claim on his behalf.     

Is the mystery an illusion? Papineau on the problem of consciousness

A number of philosophers have recently argued that (i) consciousness properties are identical with some set of physical or functional properties and that (ii) we can explain away the frequently felt puzzlement about this claim as a delusion or confusion generated by our different ways of apprehending or thinking about consciousness. This paper examines David Papineau’s influential version of this view. According to Papineau, the difference between our “phenomenal” and “material” concepts of consciousness produces an instinctive but erroneous intuition that these concepts can’t co-refer. I claim that this account fails. To begin with, it is arguable that we are mystified about physicalism even when the account predicts that we shouldn’t be. Further, and worse, the account predicts that an “intuition of distinctness” will arise in cases where it clearly does not. In conclusion, I make some remarks on the prospects for, constraints on, and (physicalist) alternatives to, a successful defence of the claim (ii).     

Climate Change,Responsibility, and Justice

In this paper I make the following claims. In order to see anthropogenic climate change as clearly involving moral wrongs and global injustices, we will have to revise some central concepts in these domains. Moreover, climate change threatens another value (“respect for nature”) that cannot easily be taken up by concerns of global justice or moral responsibility.     

‘From nature to nature’s God’: Ellis A. Davidson—mid-Victorian educator, moralist, and consummate Designer

In recovering the life and work of Ellis Abraham Davidson (1828–1878), this paper draws attention to a Victorian who expands our understanding of Anglo-Jewry as he does not fit the occupational stereotypes. Unusually, he contributed to education, more specifically to the socially-important but frequently neglected topic of technical education. He taught the “lowly” arts, generally known in the nineteenth century as “arts and manufactures”, or the “useful arts”, or “art and design”. Thus although he did not become an artisan or tradesman himself, through his teaching others acquired the requisite skills to become artisans and tradesmen. Moreover, drawing on his experience teaching practical subjects he lectured to Jewish artisans and advised the Board of Guardians on the best way to support apprentices. Finally, and most importantly, this study of Davidson sheds new light on the relations between science, technology, and Judaism in the mid-Victorian period. Thus the final two sections of this paper will examine his commitment to a form of natural theology that set him against Darwin’s theory of evolution and also informed his only book directed specifically at the Anglo-Jewish community.     

The temporality of Merleau-Ponty’s intertwining

In his last work, The Visible and the Invisible, Merleau-Ponty explored the fact that we believe that perception occurs in our heads (“in the recesses of a body”) and, hence, assert that the perceptual world is “in” us, while also believing that we are “in” the world we perceive.  In this article, I examine how this intertwining of self and world justifies the faith we have in perception. I shall do so by considering a number of examples.  In each case, the object “in itself” will turn out to be neither within us nor outside of us, but rather at the intersection set by the intertwining. I will then turn to what this disclosure of this object reveals about human temporality and, indeed, about human being as a place (or “clearing”) that permits disclosure.     

In Defence of Bad Science and Irrational Policies: an Alternative Account of the Precautionary Principle

In the first part of the paper, three objections to the precautionary principle are outlined: the principle requires some account of how to balance risks of significant harms; the principle focuses on action and ignores the costs of inaction; and the principle threatens epistemic anarchy. I argue that these objections may overlook two distinctive features of precautionary thought: a suspicion of the value of “full scientific certainty”; and a desire to distinguish environmental doings from allowings. In Section 2, I argue that any simple distinction between environmental doings and allowings is untenable. However, I argue that the appeal of such a distinction can be captured within a relational account of environmental equity. In Section 3 I show how the proposed account of environmental justice can generate a justification for distinctively “precautionary” policy-making.     

Realization, determination, and mechanisms

Several philosophers (e.g., Ehring (Nous (Detroit, Mich.) 30:461–480, 1996); Funkhouser (Nous (Detroit, Mich.) 40:548–569, 2006); Walter (Canadian Journal of Philosophy 37:217–244, 2007) have argued that there are metaphysical differences between the determinable-determinate relation and the realization relation between mental and physical properties. Others have challenged this claim (e.g., Wilson (Philosophical Studies, 2009). In this paper, I argue that there are indeed such differences and propose a “mechanistic” account of realization that elucidates why these differences hold. This account of realization incorporates two distinct roles that mechanisms play in the realization of mental (and other special science) properties which are implicit, but undeveloped, in the literature—what I call “constitutive” and “integrative” mechanisms. I then use these two notions of mechanism to clarify some debates about the relations between realization, multiple realizability, and irreducibility.     

Confining ‘Disenhanced’ Animals

Drawing upon evolutionary theory and the work of Daniel Dennett and Nicholas Agar, I offer an argument for broadening discussion of the ethics of disenhancement beyond animal welfare concerns to a consideration of animal “biopreferences”. Short of rendering animals completely unconscious or decerebrate, it is reasonable to suggest that disenhanced animals will continue to have some preferences. To the extent that these preferences can be understood as what Agar refers to as “plausible naturalizations” for familiar moral concepts like beliefs and desires, then they can make moral claims on us and provide support for intuitive opposition to disenhancement.     

The wisdom of nature in integrating science, ethics and the arts

This paper deals with an approach to the integration of science (with technology and economics), ethics (with religion and mysticism), the arts (aesthetics) and Nature, in order to establish a world-view based on holistic, evolutionary ethics that could help with problem solving. The author suggests that this integration is possible with the aid of “Nature’s wisdom” which is mirrored in the macroscopic pattern of the ecosphere. The corresponding eco-principles represent the basis for unifying soft and hard sciences resulting in “deep sciences”. Deduction and induction will remain the methodology for deep sciences and will include conventional experiments and aesthetic and sentient experiences. Perception becomes the decisive factor with the senses as operators for the building of consciousness through the subconscious. In this paper, an attempt at integrating the concepts of the “true”, the “right” and the “beautiful” with the aid of Nature’s wisdom is explained in more detail along with consequences. The author is a bioprocess engineer with a research interest in environmental issues.     

Doing things with music

This paper is an exploration of how we do things with music—that is, the way that we use music as an “esthetic technology” to enact micro-practices of emotion regulation, communicative expression, identity construction, and interpersonal coordination that drive core aspects of our emotional and social existence. The main thesis is: from birth, music is directly perceived as an affordance-laden structure. Music, I argue, affords a sonic world, an exploratory space or “nested acoustic environment” that further affords possibilities for, among other things, (1) emotion regulation and (2) social coordination. When we do things with music, we are engaged in the work of creating and cultivating the self, as well as creating and cultivating a shared world that we inhabit with others. I develop this thesis by first introducing the notion of a “musical affordance”. Next, I look at how “emotional affordances” in music are exploited to construct and regulate emotions. I summon empirical research on neonate music therapy to argue that this is something we emerge from the womb knowing how to do. I then look at “social affordances” in music, arguing that joint attention to social affordances in music alters how music is both perceived and appropriated by joint attenders within social listening contexts. In support, I describe the experience of listening to and engaging with music in a live concert setting. Thinking of music as an affordance-laden structure thus reaffirms the crucial role that music plays in constructing and regulating emotional and social experiences in everyday life.     

Intransitivity and Vague Preferences

This paper is concerned with intransitivity in normative rational choice. It focuses on a class of intransitivities which have received little attention, those involving vague preferences. “Vague preferences” are defined in terms of vague predicates such as “red” or “bald.” Such preferences appear common, and intransitive indifference is argued to be an unavoidable feature of them. Such preferences are argued to undermine intransitive strict preference also. Various formal theories of vagueness are applied to an example of vague preferences, but none of them provide a justification for the transitivity axiom. For helpful comments on earlier drafts and discussions of this material, I am very grateful to John Broome, Rosanna Keefe, Matthew Kramer, Stuart Rachels, Jochen Runde and Adrian Walsh. I owe a large debt to John O’Neill, who suggested an earlier version of the “Tragedy of the Disappearing Commons” example.     

Kant on International Relations

This paper explores some of the problems which arise from Immanuel Kant’s commitment to both human rights and the rights of states. Michael Doyle believed it was contradictory for Kant to defend both human rights and non-intervention by states in the affairs of other states, but I argue that for Kant there was no such contradiction, and I explore Kant’s claim that the state is “a moral personality.” I also discuss Kant’s belief that “Nature guarantees” that perpetual peace will obtain, and I consider Kant as a teleologist.