This paper is an exposition and evaluation of the Agustín Rayo's views about the epistemology and metaphysics of mathematics, as they are presented in his book The Construction of Logical Space.

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)

We discuss abstraction principles in the context of modal and temporal logic. It is argued that abstractionism conflicts with both serious presentism and serious actualism.

In the middle of the last century, it was common to explain the notion of necessity in linguistic terms. A necessary truth, it was said, is a sentence whose truth is guaranteed by linguistic rules. Quine famously argued that, on this view, de re modal claims do not make sense. “Porcupettes are porcupines” is necessarily true, but it would be a mistake to say of a particular porcupette that it is necessarily a porcupine, or that it is possibly purple. Linguistic (...) theories of necessity fell out of favour with the publication of Kripke’s Naming and Necessity, and Quine’s arguments were put aside. In her recent book, Norms and Necessity, Amie Thomasson presents her modal normativism, which is an updated version of the mid-century theories just described. Quine’s arguments are thus relevant once again. We recapitulate Quine’s central argument, in the context of modal normativism. We then criticise Amie Thomasson’s discussion of de re modality. We finish by briefly presenting an alternative account of de re modal statements, which is compatible with modal normativism. (shrink)

In Writing the Book of the World, Ted Sider argues that David Lewis’s distinction between those predicates which are ‘perfectly natural’ and those which are not can be extended so that it applies to words of all semantic types. Just as there are perfectly natural predicates, there may be perfectly natural connectives, operators, singular terms and so on. According to Sider, one of our goals as metaphysicians should be to identify the perfectly natural words. Sider claims that there is a (...) perfectly natural first-order quantifier. I argue that this claim is not justified. Quine has shown that we can dispense with first-order quantifiers, by using a family of ‘predicate functors’ instead. I argue that we have no reason to think that it is the first-order quantifiers, rather than Quine’s predicate functors, which are perfectly natural. The discussion of quantification is used to provide some motivation for a general scepticism about Sider’s project. Shamik Dasgupta’s ‘generalism’ and Jason Turner’s critique of ‘ontological nihilism’ are also discussed. (shrink)

I consider the claim that analytic statements are "true in virtue meaning", giving the claim a ground-theoretic interpretation.

In December 2013, the Nonhuman Rights Project (NhRP) filed a petition for a common law writ of habeas corpus in the New York State Supreme Court on behalf of Tommy, a chimpanzee living alone in a cage in a shed in rural New York (Barlow, 2017). Under animal welfare laws, Tommy’s owners, the Laverys, were doing nothing illegal by keeping him in those conditions. Nonetheless, the NhRP argued that given the cognitive, social, and emotional capacities of chimpanzees, Tommy’s confinement constituted (...) a profound wrong that demanded remedy by the courts. Soon thereafter, the NhRP filed habeas corpus petitions on behalf of Kiko, another chimpanzee housed alone in Niagara Falls, and Hercules and Leo, two chimpanzees held in research facilities at Stony Brook University. Thus began the legal struggle to move these chimpanzees from captivity to a sanctuary, an effort that has led the NhRP to argue in multiple courts before multiple judges. The central point of contention has been whether Tommy, Kiko, Hercules, and Leo have legal rights. To date, no judge has been willing to issue a writ of habeas corpus on their behalf. Such a ruling would mean that these chimpanzees have rights that confinement might violate. Instead, the judges have argued that chimpanzees cannot be bearers of legal rights because they are not, and cannot be persons. In this book we argue that chimpanzees are persons because they are autonomous. (shrink)

We submit this brief in support of the Nonhuman Rights Project’s efforts to secure habeas corpus relief for the elephant named Happy. The Supreme Court, Bronx County, declined to grant habeas corpus relief and order Happy’s transfer to an elephant sanctuary, relying, in part, on previous decisions that denied habeas relief for the NhRP’s chimpanzee clients, Kiko and Tommy. Those decisions use incompatible conceptions of ‘person’ which, when properly understood, are either philosophically inadequate or, in fact, compatible with Happy’s personhood.

Hartry Field has argued that mathematical realism is epistemologically problematic, because the realist is unable to explain the supposed reliability of our mathematical beliefs. In some of his discussions of this point, Field backs up his argument by saying that our purely mathematical beliefs do not ‘counterfactually depend on the facts’. I argue that counterfactual dependence is irrelevant in this context; it does nothing to bolster Field's argument.

The term ‘continuous’ in real analysis wasn’t given an adequate formal definition until 1817. However, important theorems about continuity were proven long before that. How was this possible? In this paper, I introduce and refine a proposed answer to this question, derived from the work of Frank Jackson, David Lewis and other proponents of the ‘Canberra plan’. In brief, the proposal is that before 1817 the meaning of the term ‘continuous’ was determined by a number of ‘platitudes’ which had some (...) special epistemic status. (shrink)

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: How do we recognize distinct types of emotion in music?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: What counts as cognitive penetration?

This report highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012: 1. How should we demarcate perceptual learning from perceptual development? 2. What are the origins of multimodal associations? 3. Does our representation of time provide an amodal framework for multi-sensory integration? 4. What counts as cognitive penetration? 5. How can philosophers and psychologists most fruitfully collaborate?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: How can philosophers and psychologists most fruitfully collaborate?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: How should we demarcate perceptual learning from perceptual development?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: Does our representation of time provide and amodal framework for multi-sensory integration?

This is an excerpt from a report that highlights and explores five questions which arose from the workshop on perceptual learning and perceptual recognition at the University of Toronto, Mississauga on May 10th and 11th, 2012. This excerpt explores the question: What are the origins of multimodal associations?

This paper has two components. The first, longer component (sec. 1-6) is a critical exposition of Armstrong’s views about the metaphysics of mathematics, as they are presented in Truth and Truthmakers and Sketch for a Systematic Metaphysics. In particular, I discuss Armstrong’s views about the nature of the cardinal numbers, and his account of how modal truths are made true. In the second component of the paper (sec. 7), which is shorter and more tentative, I sketch an alternative account of (...) the metaphysics of mathematics. I suggest we insist that mathematical truths have physical truthmakers, without insisting that mathematical objects themselves are part of the physical world. (shrink)

In Pragmatism, James promised his readers a theory of truth. However, many of his readers (even those sympathetic with other parts of James’s work) have concluded that James’s “theory” was little more than a tangle of mistakes. In this chapter, I offer an interpretation and defence of James’s theory of truth. I emphasize James’s truth pluralism.

This article is a survey of the literature on context sensitivity in the philosophy of language.

A brief review of Øystein Linnebo's Thin Objects. The review ends with a brief discussion of cardinal number and metaphysical ground.

In this brief, we argue that there is a diversity of ways in which humans (Homo sapiens) are ‘persons’ and there are no non-arbitrary conceptions of ‘personhood’ that can include all humans and exclude all nonhuman animals. To do so we describe and assess the four most prominent conceptions of ‘personhood’ that can be found in the rulings concerning Kiko and Tommy, with particular focus on the most recent decision, Nonhuman Rights Project, Inc v Lavery.

In his last book, Le complexe des trois singes. Essai sur l’animalité humaine (2017), the French philosopher Étienne Bimbenet accuses “sensocentric” (« pathocentristes ») animal ethics of committing a performative contradiction: according to Bimbenet, these theories of animal rights — among which he focuses on the case of Zoopolis (2011) by Sue Donaldson and Will Kymlicka — would undermine themselves by means of declaring reason a “non-essential” feature of human beings, while at the same time those theories themselves can (...) only be understood as a highly rational human endeavour. As we will try to point out, the alleged performative contradiction does not actually take place. First of all, Donaldson and Kymlicka only describe reason as “non essential” when it comes to describing moral patients, not moral agents, and particularly not moral theoreticians. In the second place, Zoopolis presents itself explicitly as an effort in “articulating moral reasons” — not as a renouncement of reason as such. (shrink)

Tae Wan Kim, John Hooker, and Thomas Donaldson make an attempt, in recent articles, to solve the alignment problem. As they define the alignment problem, it is the issue of how to give AI systems moral intelligence. They contend that one might program machines with a version of Kantian ethics cast in deontic modal logic. On their view, machines can be aligned with human values if such machines obey principles of universalization and autonomy, as well as a deontic utilitarian (...) principle. Programming machines to do so might be useful, in their view, for applications such as future autonomous vehicles. Their proposal draws both on traditional logic-based and contemporary connectionist approaches, to fuse factual information with normative principles. I will argue that this approach makes demands of machines that go beyond what is currently feasible, and may extend past the limits of the possible for AI. I also argue that a deontological ethics for machines should place greater stress on the formula of humanity of the Kantian categorical imperative. On this principle, one ought never treat a person as a mere means. Recognition of what makes a person a person requires ethical insight. Similar insight is needed to tell treatment as a means from treatment as a mere means. The resources in Kim, Hooker, and Donaldson’s approach is insufficient for this reason. Hesitation regarding deployment of autonomous machines is warranted in light of these alignment concerns. (shrink)

This out-of-print collection on animal rights, applied ethics, and continental philosophy includes readings by Martin Heidegger, Karin De Boer, Martha Nussbaum, David De Grazia, Giorgio Agamben, Peter Singer, Tom Regan, David Morris, Michael Thompson, Stephen Jay Gould, Sue Donaldson, Carolyn Merchant, and Jacques Derrida.

Book Panel on Zoopolis including articles by Clare Palmer, Dinesh Wadiwel and Laura Janara and a reply by Donaldson and Kymlicka.

Domesticated animals need to be treated as fellow citizens: only if we conceive of domesticated animals as full members of our political communities can we do justice to their moral standing—or so Sue Donaldson and Will Kymlicka argue in their widely discussed book Zoopolis. In this contribution, we pursue two objectives. Firstly, we reject Donaldson and Kymlicka’s appeal for animal citizenship. We do so by submitting that instead of paying due heed to their moral status, regarding animals as (...) citizens misinterprets their moral qualities and thus risks treating them unjustly. Secondly, we suggest that Donaldson and Kymlicka’s reinforced focus on membership should draw our attention to the moral standing of a further ‘species’, namely robots. Developments within artificial intelligence have advanced rapidly in recent years. With robots’ gaining ever greater capacities and abilities, we need to ask urgent questions about the moral ramifications of these technical advances. (shrink)