Galileo asked in his Dialogue of the Two New Sciences what relationship exists between the size of the set of all natural numbers and the size of the set of all square natural numbers. Although one is a proper subset of the other, suggesting that there are strictly fewer squares than natural numbers, the existence of a simple one-to-one correspondence between the two sets suggests that they have, in fact, the same size. Cantor famously based the modern notion of cardinality (...) on the second intuition, but recent advances in mathematical logic (most notably, numerosity theory) have renewed an interest in the question whether Cantor’s way out of Galileo’s paradox was the only possible one. I present a new solution to Galileo’s paradox and argue that it is a better alternative to the Cantorian solution than numerosity theory. In fact, I argue that it is the best possible way out of Galileo's Paradox that can be based on the "Euclidean" intuition that the whole is always greater than any of its proper parts. (shrink)

The basic human ability to treat quantitative information can be divided into two parts. With proto-arithmetical ability, based on the core cognitive abilities for subitizing and estimation, numerosities can be treated in a limited and/or approximate manner. With arithmetical ability, numerosities are processed (counted, operated on) systematically in a discrete, linear, and unbounded manner. In this paper, I study the theory of enculturation as presented by Menary (2015) as a possible explanation of how we make the move from the (...) proto-arithmetical ability to arithmetic proper. I argue that enculturation based on neural reuse provides a theoretically sound and fruitful framework for explaining this development. However, I show that a comprehensive explanation must be based on valid theoretical distinctions and involve several stages in the development of arithmetical knowledge. I provide an account that meets these challenges and thus leads to a better understanding of the subject of enculturation. (shrink)

Linnebo in 2018 argues that abstract objects like numbers are “thin” because they are only required to be referents of singular terms in abstraction principles, such as Hume's principle. As the specification of existence claims made by analytic truths (the abstraction principles), their existence does not make any substantial demands of the world; however, as Linnebo notes, there is a potential counter-argument concerning infinite regress against introducing objects this way. Against this, he argues that vicious regress is avoided in the (...) account of arithmetic based on Hume's principle because we are specifying numbers in terms of the concept of equinumerosity, or its ordinal equivalent. But far from being only a matter for philosophy, this implies a distinct empirical prediction: in cognitive development, the principle of equinumerosity is primary to number concepts. However, by analysing and expanding on the bootstrapping theory of Carey in 2009, I argue in this paper that there are good reasons to think that the development could be the other way around: possessing numerosity concepts may precede grasping the principle of equinumerosity. I propose that this analysis of early numerical cognition can also help us understand what numbers as thin objects are like, moving away from Platonist interpretations. (shrink)

Beck presents an outline of the procedure of bootstrapping of integer concepts, with the purpose of explicating the account of Carey. According to that theory, integer concepts are acquired through a process of inductive and analogous reasoning based on the object tracking system, which allows individuating objects in a parallel fashion. Discussing the bootstrapping theory, Beck dismisses what he calls the "deviant-interpretation challenge"—the possibility that the bootstrapped integer sequence does not follow a linear progression after some point—as being (...) general to any account of inductive learning. While the account of Carey and Beck focuses on the OTS, in this paper I want to reconsider the importance of another empirically well-established cognitive core system for treating numerosities, namely the approximate number system. Since the ANS-based account offers a potential alternative for integer concept acquisition, I show that it provides a good reason to revisit the deviant-interpretation challenge. Finally, I will present a hybrid OTS-ANS model as the foundation of integer concept acquisition and the framework of enculturation as a solution to the challenge. (shrink)

All’interno del dibattito che anima la filosofia temporale esistono numerose correnti di pensiero su quale posizione si debba adottare riguardo al problema del valore di verità delle proposizioni sul futuro. Nella prima parte dell’articolo verrà tracciato il quadro generale della discussione mediante una ricostruzione storica delle varie argomentazioni – da Aristotele e Diodoro Crono a Prior – e verranno analizzate le posizioni che si sono sviluppate, a partire da queste, nell’età contemporanea. Nella seconda parte invece tenterò di mostrare come la (...) competizione fra la teoria del futuro vero e il sistema ockhamista di Prior non si basi su due differenti concetti di contingenza, ma sulla mancata distinzione, all’interno del sistema ockhamista, di due significati di ‘determinato’ e sulla conseguente confusione che investe il concetto di necessità. Una volta recuperata tale distinzione la teoria ockhamista può essere riformulata e le due diverse posizioni si rivelano essere, semplicemente, teorie sulla determinatezza degli stati futuri. / A large number of schools of thought enliven the philosophical debate on how we can manage the truth-values of propositions about the future. In the first part of this paper I’ll draw an overall view of the discussion, proposing an historical reconstruction of the arguments – from Aristotle and Diodoro Crono to Prior – that will give us the instruments to understand the current state of the debate. After that, in the second part, I’ll argue that the discussion between theory of the true future and Prior’s ockhamist theory is not based on two different concepts of contingency, but instead on the lack of distinction between two different meanings of ‘determined’ inside the ockhamist system. Recovering this distinction is the first step to understand that the real competition between the two systems is not about contingency, but only about the determination of the future. (shrink)

Complex systems like literacy and numeracy emerge through multigenerational interactions of brains, behaviors, and material forms. In such systems, material forms – writing for language and notations for numbers – become increasingly refined to elicit specific behavioral and psychological responses in newly indoctrinated individuals. These material forms, however, differ fundamentally in things like semiotic function: language signifies, while numbers instantiate. This makes writing for language able to represent the meanings and sounds of particular languages, while notations for numbers are semantically (...) meaningful without phonetic specification. This representational distinction is associated with neurofunctional and behavioral differences in what neural activity and behaviors like handwriting contribute to literacy and numeracy. In turn, neurofunctional and behavioral differences place written representations for language and numbers under different pressures that influence the forms they take and how those forms change over time as they are transmitted across languages and cultures. (shrink)

In our target article, we argued that the number sense represents natural and rational numbers. Here, we respond to the 26 commentaries we received, highlighting new directions for empirical and theoretical research. We discuss two background assumptions, arguments against the number sense, whether the approximate number system represents numbers or numerosities, and why the ANS represents rational numbers.

Epistemic consequentialism has been challenged on the grounds that it is overly demanding. According to the Epistemic Junk Problem, this view implies that we are often required to believe junk propositions such as ‘the Great Bear Lake is the largest lake entirely in Canada’ and long disjunctions of things we already believe. According to the Numerosity Problem, this view implies that we are frequently required to have an enormous number of beliefs. This paper puts forward a novel version of (...) epistemic consequentialism which avoids these twin demandingness problems. The key is to recognise, first, that the final epistemic value of a true belief depends at least in part on the duration for which it is retained by the agent and, second, that our cognitive makeup places important constraints on which beliefs are retained and for how long. (shrink)

Many think that sentences about what metaphysically explains what are true iff there exist grounding relations. This suggests that sceptics about grounding should be error theorists about metaphysical explanation. We think there is a better option: a theory of metaphysical explanation which offers truth conditions for claims about what metaphysically explains what that are not couched in terms of grounding relations, but are instead couched in terms of, inter alia, psychological facts. We do not argue that our account is (...) superior to grounding-based accounts. Rather, we offer it to those already ill-disposed towards grounding. (shrink)

This article synthesizes the current theoretical attempts to understand human-machine interactions and introduces seven premises to understand our emerging dynamics with increasingly competent, pervasive, and instantly accessible algorithms. The hope that these seven premises can build toward a social theory of human-AI cocreation. The focus on human-AI cocreation is intended to emphasize two factors. First, is the fact that our machine learning systems are socialized. Second, is the coevolving nature of human mind and AI systems as smart devices form (...) an indispensable part of our cognitive scaffolds, thus, shaping how we perceive the world and ourselves. The seven premises include: primacy of social structures; human’s desire for freedom and autonomy; AI systems will form inseparable parts of our cognitive/affective scaffolds and can change our self-understanding; philosophy and humanistic foundations on human flourishing as a guide to human-AI interaction; mindsponge information-filtering process; acculturative process of how values change and emerge from human-AI interaction; overlapping Venn diagram of the human-human, human-nature, and human-machine interactions. This article concludes with a discussion on human agency in our entanglements with socialized machines and the illusoriness of the Cartesian agent view of the mind. (shrink)

I provide a theory of causation within the causal modeling framework. In contrast to most of its predecessors, this theory is model-invariant in the following sense: if the theory says that C caused (didn't cause) E in a causal model, M, then it will continue to say that C caused (didn't cause) E once we've removed an inessential variable from M. I suggest that, if this theory is true, then we should understand a cause as something (...) which transmits deviant or non-inertial behavior to its effect. (shrink)

Clarke and Beck assume that approximate number system representations should be assigned referents from our scientific ontology. However, many representations, both in perception and cognition, do not straightforwardly refer to such entities. If we reject Clarke and Beck's assumption, many possible contents for ANS representations besides number are compatible with the evidence Clarke and Beck cite.

Theory of "conceptual pragmatism" takes into account both modern philosophical thought and modern mathematics. Stimulating discussions of metaphysics, a priori, philosophic method, much more.

This paper is part of a book symposium for L. A. Paul (2014) Transformative Experience (OUP).

We investigated, experimentally, the contention that the folk view, or naïve theory, of time, amongst the population we investigated is dynamical. We found that amongst that population, ~ 70% have an extant theory of time that is more similar to a dynamical than a non-dynamical theory, and ~ 70% of those who deploy a naïve theory of time deploy a naïve theory that is more similar to a dynamical than a non-dynamical theory. Interestingly, while (...) we found stable results across our two experiments regarding the percentage of participants that have a dynamical or non-dynamical extant theory of time, we did not find such stability regarding which particular dynamical or non-dynamical theory of time they take to be most similar to our world. This suggests that there might be two extant theories in the population—a broadly dynamical one and a broadly non-dynamical one—but that those theories are sufficiently incomplete that participants do not stably choose the same dynamical theory as being most similar to our world. This suggests that while appeals to the ordinary view of time may do some work in the context of adjudicating disputes between dynamists and non-dynamists, they likely cannot do any such work adjudicating disputes between particular brands of dynamism. (shrink)

According to the perceptual theory of introspection, introspection is a kind of perception of our mental life. To evaluate the perceptual theory’s plausibility, we obviously need to know what entitles a mental phenomenon to the qualification “perceptual.” I start by arguing that this task is complicated by the fact that we really have two notions of the perceptual: a functional notion and a phenomenological notion. The heart of the chapter is an argument that even if we have no (...) reason to think that introspection is a kind of perception in the functional sense, we do have strong reasons to think it is a kind of perception in the phenomenological sense. In the phenomenological sense, I argue, two features are central to a phenomenon’s status as perceptual: its involving direct awareness of the perceived, and its taking a distinctively perceptual attitude toward it. The bulk of the chapter consists in (i) an argument from inference to the best explanation for the thesis that introspection involves direct awareness of the introspected, and (ii) a more direct argument that introspection involves an attitude almost identical to the attitude distinctive of sensory perception. The chapter then closes with responses to some of the standard objections to the perceptual theory. (shrink)

Dispositionality and qualitativity are key notions to describe the world that we inhabit. Dispositionality is a matter of what a thing is disposed to do in certain circumstances. Qualitativity is a matter of how a thing is like. According to the Identity Theory of powers, every fundamental property is at once dispositional and qualitative, or a powerful quality. Canonically, the Identity Theory holds a contentious identity claim between a property’s dispositionality and its qualitativity. In the literature, this view (...) faces a contradiction objection that undermines its merits. We should therefore consider an alternative version that does not embrace the identity claim. My aim is to show that we can enjoy the benefits of the Identity Theory without embracing the identity between the dispositional and the qualitative. I shall argue that a distinction between two senses of dispositionality and qualitativity serves the purpose. I will then discuss three readings of the identity claim that can be formulated in light of such a distinction. I will conclude that even if the identity were to fail in any of the suggested readings, it would be possible to hold an account of fundamental powerful qualities. (shrink)

The default theory of aesthetic value combines hedonism about aesthetic value with strict perceptual formalism about aesthetic value, holding the aesthetic value of an object to be the value it has in virtue of the pleasure it gives strictly in virtue of its perceptual properties. A standard theory of aesthetic value is any theory of aesthetic value that takes the default theory as its theoretical point of departure. This paper argues that standard theories fail because they (...) theorize from the default theory. (shrink)

A uniform theory of conditionals is one which compositionally captures the behavior of both indicative and subjunctive conditionals without positing ambiguities. This paper raises new problems for the closest thing to a uniform analysis in the literature (Stalnaker, Philosophia, 5, 269–286 (1975)) and develops a new theory which solves them. I also show that this new analysis provides an improved treatment of three phenomena (the import-export equivalence, reverse Sobel-sequences and disjunctive antecedents). While these results concern central issues in (...) the study of conditionals, broader themes in the philosophy of language and formal semantics are also engaged here. This new analysis exploits a dynamic conception of meaning where the meaning of a symbol is its potential to change an agent’s mental state (or the state of a conversation) rather than being the symbol’s content (e.g. the proposition it expresses). The analysis of conditionals is also built on the idea that the contrast between subjunctive and indicative conditionals parallels a contrast between revising and consistently extending some body of information. (shrink)

This article points out the criteria necessary in order for a qualitative scientific method to qualify itself as phenomenological in a descriptive Husserlian sense. One would have to employ description within the attitude of the phenomenological reduction, and seek the most invariant meanings for a context. The results of this analysis are used to critique an article by Klein and Westcott , that presents a typology of the development of the phenomenological psychological method.

According to the quasi-perceptualist account of philosophical intuitions, they are intellectual appearances that are psychologically and epistemically analogous to perceptual appearances. Moral intuitions share the key characteristics of other intuitions, but can also have a distinctive phenomenology and motivational role. This paper develops the Humean claim that the shared and distinctive features of substantive moral intuitions are best explained by their being constituted by moral emotions. This is supported by an independently plausible non-Humean, quasi-perceptualist theory of emotion, according to (...) which the phenomenal feel of emotions is crucial for their intentional content. (shrink)

Standard decision theory has trouble handling cases involving acts without finite expected values. This paper has two aims. First, building on earlier work by Colyvan (2008), Easwaran (2014), and Lauwers and Vallentyne (2016), it develops a proposal for dealing with such cases, Difference Minimizing Theory. Difference Minimizing Theory provides satisfactory verdicts in a broader range of cases than its predecessors. And it vindicates two highly plausible principles of standard decision theory, Stochastic Equivalence and Stochastic Dominance. The (...) second aim is to assess some recent arguments against Stochastic Equivalence and Stochastic Dominance. If successful, these arguments refute Difference Minimizing Theory. This paper contends that these arguments are not successful. (shrink)

In this paper, I develop an essentialist model of the semantics of slurs. I defend the view that slurs are a species of kind terms: Slur concepts encode mini-theories which represent an essence-like element that is causally connected to a set of negatively-valenced stereotypical features of a social group. The truth-conditional contribution of slur nouns can then be captured by the following schema: For a given slur S of a social group G and a person P, S is true of (...) P iff P bears the “essence” of G—whatever this essence is—which is causally responsible for stereotypical negative features associated with G and predicted of P. Since there is no essence that is causally responsible for stereotypical negative features of a social group, slurs have null-extension, and consequently, many sentences containing them are either meaningless or false. After giving a detailed outline of my theory, I show that it receives strong linguistic support. In particular, it can account for a wide range of linguistic cases that are regarded as challenging, central data for any theory of slurs. Finally, I show that my theory also receives convergent support from cognitive psychology and psycholinguistics. (shrink)

The ambiguity theory of “knows” is the view that knows and its cognates have more than one propositional sense—i.e., more than one sense that can properly be used in “knows that” etc. constructions. The ambiguity theory of “know” has received relatively little attention as an account of the truth-conditions for knowledge ascriptions and denials—especially compared to views like classical, moderate invariantism and epistemic contextualism. In this paper, it is argued that the ambiguity theory of knows has an (...) advantage over both classical, moderate invariantism and epistemic contextualism. This advantage is that it is the only one of these views that can account for “diverging knowledge responses without inconsistency” —i.e., cases in which, for the same subject S and proposition p, one and the same speaker says truly “S knows p” but instead could have truly said “S does not know p” and vice versa. This paper argues both for the existence of DRWI scenarios and the ability of the ambiguity theory of knows to best explain their existence. (shrink)

One popular approach to theorizing about phenomenal consciousness has been to connect it to representations of a certain kind. Representational theories of consciousness can be further sub-divided into first-order and higher-order theories. Higher-order theories are often interpreted as invoking a special relation between the first-order state and the higher-order state. However there is another way to interpret higher-order theories that rejects this relational requirement. On this alternative view phenomenal consciousness consists in having suitable higher-order representations. I call this ‘HOROR’ (‘Higher-Order (...) Representation Of a Representation’) theory to distinguish it from relational versions of higher- order theory. In this paper I make the case that HOROR theory is a plausible account of the real nature of phenomenal consciousness whatever one’s views are about whether it is physical/reducible or not. I first clarify HOROR theory and compare it to the more traditional same-order and higher-order thought theories. Afterwards I move to presenting some considerations in favor of HOROR theory. (shrink)

In this paper, we propose a regularity theory of causation. The theory aims to be reductive and to align with our pre‐theoretic understanding of the causal relation. We show that our theory can account for a wide range of causal scenarios, including isomorphic scenarios, omissions, and scenarios which suggest that causation is not transitive.

It is conventional wisdom among political philosophers that ideal principles of justice must guide our attempts to design institutions to avert actual injustice. Call this the ideal guidance approach. I argue that this view is misguided— ideal principles of justice are not appropriate "guiding principles" that actual institutions must aim to realize, even if only approximately. Fortunately, the conventional wisdom is also avoidable. In this paper, I develop an alternative approach to institutional design, which I call institutional failure analysis. The (...) basic intuition of this approach is that our moral assessment of institutional proposals is most effective when we proceed from a detailed understanding of the causal processes generating problematic social outcomes. Failure analysis takes the institutional primary design task to be obviating or averting institutional failures. Consequently, failure analysis enables theorists to prescribe more effective solutions to actual injustice because its focuses on understanding the injustice, rather than specifying an ideal of justice. (shrink)

The present essay seeks, by way of the Austrian example, to make a contribution to what might be called the philosophy of the supranational state. More specifically, we shall attempt to use certain ideas on the philosophy of Gestalten as a basis for understanding some aspects of that political and cultural phenomenon which was variously called the Austrian Empire, the Habsburg Empire, the Danube Monarchy or Kakanien.

This paper examines the evolution of Husserl’s philosophy of nonintuitive intentions. The analysis has two stages. First, I expose a mistake in Husserl’s account of non-intuitive acts from his 1901 Logical Investigations. I demonstrate that Husserl employs the term “signitive” too broadly, as he concludes that all non-intuitive acts are signitive. He states that not only meaning acts, but also the contiguity intentions of perception are signitive acts. Second, I show how Husserl, in his 1913/14 Revisions to the Sixth Logical (...) Investigation, amends his 1901 theory of non-intuitive acts, which he now calls “empty” intentions. He there accurately distinguishes empty meaning acts from the empty intentions of perception. In the conclusion, I reveal how Husserl’s alterations to his theory of non-intuitive intentions can inform our understanding of a larger shift in his philosophy. (shrink)

Reprint of an article that initially appeared in _Ethical Theory and Moral Practice_ (2012).

Discrimination is a central epistemic capacity but typically, theories of discrimination only use discrimination as a vehicle for analyzing knowledge. This paper aims at developing a self-contained theory of discrimination. Internalist theories of discrimination fail since there is no compelling correlation between discriminatory capacities and experiences. Moreover, statistical reliabilist theories are also flawed. Only a modal theory of discrimination is promising. Versions of sensitivity and adherence that take particular alternatives into account provide necessary and sufficient conditions on discrimination. (...) Safety in contrast is not sufficient for discrimination as there are cases of safety that are clearly instances of discrimination failure. The developed account of discrimination between objects will be extended to discrimination between kinds and between types. (shrink)

The homeostatic property cluster theory is widely influential for its ability to account for many natural-kind terms in the life sciences. However, the notion of homeostatic mechanism has never been fully explicated. In 2009, Carl Craver interpreted the notion in the sense articulated in discussions on mechanistic explanation and pointed out that the HPC account equipped with such notion invites interest-relativity. In this paper, we analyze two recent refinements on HPC: one that avoids any reference to the causes of (...) the clustering of properties and one that replaces homeostatic mechanisms with causal networks represented by causal graphs. We argue that the former is too slender to account for some inductive inference in science and the latter, thicker account invites interest-relativity, as the original HPC does. This suggests that human interest will be an un-eliminative part of a satisfactory account of natural kindness. We conclude by discussing the implication of interest-relativity to the naturalness, reality, or objectivity of kinds and indicating an overlooked aspect of natural kinds that requires further studies. (shrink)

We provide a cognitive analysis of how children represent belief using mental files. We explain why children who pass the false belief test are not aware of the intensionality of belief. Fifty-one 3½- to 7-year old children were familiarized with a dual object, e.g., a ball that rattles and is described as a rattle. They observed how a puppet agent witnessed the ball being put into box 1. In the agent’s absence the ball was taken from box 1, the child (...) was reminded of it being a rattle, and emphasising its being a rattle it was put back into box 1. Then the agent returned, the object was hidden in the experimenter’s hands and removed from box 1, described as a ‘‘rattle,” and transferred to box 2. Children who passed false belief had no problem saying where the puppet would look for the ball. However, in a different condition in which the agent was also shown that the ball was a rattle they erroneously said that the agent would look for the ball in box 1, ignoring the agent’s knowledge of the identity of rattle and ball. Their problems cease with their mastery of second-order beliefs. Problems also vanish when the ball is described not as a rattle but as a thing that rattles. We describe how our theory can account for these data as well as all other relevant data in the literature. (shrink)

It is regrettably common for theorists to attempt to characterize the Humean dictum that one can’t get an ‘ought’ from an ‘is’ just in broadly logical terms. We here address an important new class of such approaches which appeal to model-theoretic machinery. Our complaint about these recent attempts is that they interfere with substantive debates about the nature of the ethical. This problem, developed in detail for Daniel Singer’s and Gillian Russell and Greg Restall’s accounts of Hume’s dictum, is of (...) a general type arising for the use of model-theoretic structures in cashing out substantive philosophical claims: the question of whether an abstract model-theoretic structure successfully interprets something often involves taking a stand on non-trivial issues surrounding the thing. In the particular case of Hume’s dictum, given reasonable conceptual or metaphysical claims about the ethical, Singer’s and Russell and Restall’s accounts treat obviously ethical claims as descriptive and vice versa. Consequently, their model-theoretic characterizations of Hume’s dictum are not metaethically neutral. This encourages skepticism about whether model-theoretic machinery suffices to provide an illuminating distinction between the ethical and the descriptive. (shrink)

I argue for a theory of the optimal function of the speech act of referring, called the edenic theory. First, the act of singular reference is defined directly in terms of Gricean communicative intentions. Second, I propose a doxastic constraint on the optimal performance of such acts, stating, roughly, that the speaker must not have any relevant false beliefs about the identity or distinctness of the intended object. In uttering a singular term on an occasion, on this (...) class='Hi'>theory, one represents oneself as not having any confused beliefs about the object to which one intends to refer. This paves the way for an intentionalist theory of reference that circumvents well-known problems, which have not been adequately addressed before in the literature. (shrink)

This paper provides an assessment of the bodily-attitudinal theory of emotions, according to which emotions are felt bodily attitudes of action readiness. After providing a reconstruction of the view and clarifying its central commitments two objections are considered. An alternative object side interpretation of felt action readiness is then provided, which undermines the motivation for the bodily-attitudinal theory and creates problems for its claims concerning the content of emotional experience. The conclusion is that while the bodily-attitudinal theory (...) marks out a distinctive proposal concerning the question of what emotions are, there remain significant issues which need addressing if it is to be a plausible competitor to existing theories of emotion. (shrink)

Contemporary just war theory is divided into two broad camps: revisionists and traditionalists. Traditionalists seek to provide moral foundations for something close to current international law, and in particular the laws of armed conflict. Although they propose improvements, they do so cautiously. Revisionists argue that international law is at best a pragmatic fiction—it lacks deeper moral foundations. In this article, I present the contemporary history of analytical just war theory, from the origins of contemporary traditionalist just war (...) class='Hi'>theory in Michael Walzer's work to the revisionist critique of Walzer and the subsequent revival of traditionalism. I discuss central questions of methodology, as well as consider the morality of resorting to war and the morality of conduct in war. I show that although the revisionists exposed philosophical shortcomings in Walzer's arguments, their radical conclusions should prompt us not to reject the broad contemporary consensus, but instead to seek better arguments to underpin it. (shrink)

Schaffner’s model of theory reduction has played an important role in philosophy of science and philosophy of biology. Here, the model is found to be problematic because of an internal tension. Indeed, standard antireductionist external criticisms concerning reduction functions and laws in biology do not provide a full picture of the limits of Schaffner’s model. However, despite the internal tension, his model usefully highlights the importance of regulative ideals associated with the search for derivational, and embedding, deductive relations among (...) mathematical structures in theoretical biology. A reconstructed Schaffnerian model could therefore shed light on mathematical theory development in the biological sciences and on the epistemology of mathematical practices more generally. *Received November 2006; revised March 2009. †To contact the author, please write to: Philosophy Department, University of California, Santa Cruz, 1156 High St., Santa Cruz, CA 95064; e‐mail: [email protected]. (shrink)

A stereotype is a belief or claim that a group of people has a particular feature. Stereotypes are expressed by sentences that have the form of generic statements, like “Canadians are nice.” Recent work on generics lends new life to understanding generics as statements involving probabilities. I argue that generics (and thus sentences expressing stereotypes) can take one of several forms involving conditional probabilities, and these probabilities have what I call a naturalness requirement. This is the natural probability theory (...) of stereotypes. Each of the two components of the theory entails a family of fallacies that contributes to the spurious reinforcement of stereotypes: inferential slippage within and between the different generic forms, and inferential slippage from facts about frequencies of group traits to beliefs about natural propensities or dispositions of groups. Empirical research suggests that we often commit these fallacies. Moreover, this theory can referee a vitriolic debate between some psychologists, who hold that stereotypes are always false and stereotyping is always wrong, and other psychologists, who hold that stereotypes are often accurate and stereotyping is often reasonable. (shrink)

Kit Fine (2000) breaks with tradition, arguing that, pace Russell (e.g., 1903: 228), relations have neither directions nor converses. He considers two ways to conceive of these new "neutral" relations, positionalism and anti-positionalism, and argues that the latter should be preferred to the former. Cody Gilmore (2013) argues for a generalization of positionalism, slot theory, the view that a property or relation is n-adic if and only if there are exactly n slots in it, and (very roughly) that each (...) slot may be occupied by at most one entity. Slot theory (and with it, positionalism) bears the full brunt of Fine's (2000) symmetric completions and conflicting adicities problems. I fully develop an alternative, plural slot theory (or pocket theory), which avoids these problems, key elements of which are first considered by Yi (1999: 168 ff.). Like the slot theorist, the pocket theorist posits entities (pockets) in properties and relations that can be occupied. But unlike the slot theorist, the pocket theorist denies that at most one entity can occupy any one of them. As a result, she must also deny that the adicity of a property or relation is equal to the number of occupiable entities in it. By abandoning these theses, however, the pocket theorist is able to avoid Fine's problems, resulting in a stronger theory about the internal structure of properties and relations. Pocket theory also avoids a serious drawback of anti-positionalism. (shrink)

Bohm and Hiley suggest that a certain new type of active information plays a key objective role in quantum processes. This paper discusses the implications of this suggestion to our understanding of the relation between the mental and the physical aspects of reality.

Predictive Processing theory, hotly debated in neuroscience, psychology and philosophy, promises to explain a number of perceptual and cognitive phenomena in a simple and elegant manner. In some of its versions, the theory is ambitiously advertised as a new theory of conscious perception. The task of this paper is to assess whether this claim is realistic. We will be arguing that the Predictive Processing theory cannot explain the transition from unconscious to conscious perception in its proprietary (...) terms. The explanations offer by PP theorists mostly concern the preconditions of conscious perception, leaving the genuine material substrate of consciousness untouched. (shrink)

There are numerous interpretations of Plato's theory of justice as it relates to the ideal state, deeply intertwined with his political philosophy. This complexity makes understanding his interlocking ideas challenging, as he seeks to construct a theory of the ideal state. Plato's philosophy of justice, particularly in its political dimension, emphasizes integration as a fundamental factor in grasping his theory. This paper aims to elucidate the original concept of justice in Plato's state by delving into the roots (...) of the Republic, analyzing its historical context. Plato's predictions reflect values and truths connected to politics and philosophy, emphasizing integration as essential to understanding his theory of justice, which lies at the core of his philosophy. This essay compares the relationship between the functions and class structure of the state. Plato classifies human nature into three components: reason, courage, and appetite, which correspond to three major classes in the state. The ruling class, educated in philosophy, governs the state. The military class, characterized by courage and strength, defends the state, while the professional class manages the everyday affairs of governance. Plato's theory posits functional specialization across all classes as fundamental to his ideal state. In essence, while Plato's imagined city may lack historical existence, it holds significant relevance in the realm of speculative human thought. Keywords: Justice. State. Function. Class. Rulers. Guardians. Producers. (shrink)

The desire-satisfaction theory of welfare says that what is basically good for a subject is the satisfaction of his desires. One challenge to this view is the existence of quirky desires, such as a desire to count blades of grass. It is hard to see why anyone would desire such things, and thus hard to believe that the satisfaction of such desires could be basically good for anyone. This suggests that only some desires are basically good when satisfied, and (...) that desire satisfactionists owe us an account of which desires these are, and why. In "Quirky Desires and Well-Being," Donald Bruckner proposes such an account: a desire is welfare-relevant (i.e., such that its satisfaction would be basically good for its subject) if and only if and because its subject could describe its object in a way that makes it comprehensible what about the object attracts him or appeals to him. We are inclined to view quirky desires as welfare-irrelevant because we assume that their objects cannot be described in such a way. But if there were a quirky desire whose object could be so described by the subject whose desire it is, then this desire would be relevant to that subject's welfare. I will argue that while Bruckner's view delivers plausible verdicts about the cases to which it is meant to apply, its account of what makes a desire welfare-relevant is unmotivated and implausible. Desire satisfactionists can retain what is plausible about his view while endorsing a better explanation of why welfare-relevant desires have that status if they accept the following account instead: a desire is welfare-relevant if and only if and because something about its object attracts, or appeals to, the subject who has the desire. (shrink)

This paper investigates the question of how to correctly capture the scope of singular thinking. The first part of the paper identifies a scope problem for the dominant view of singular thought maintaining that, in order for a thinker to have a singular thought about an object o, the thinker has to bear a special epistemic relation to o. The scope problem has it is that this view cannot make sense of the singularity of our thoughts about objects to which (...) we do not or cannot bear any special epistemic relation. The paper focuses on a specific instance of the scope problem by addressing the case of thoughts about the natural numbers. Various possible solutions to the scope problem within the dominant framework are assessed and rejected. The second part of the paper develops a new theory of singular thought which hinges on the contention that the constraints that need to be met in order to think singularly vary depending on the kind of object we are thinking about. This idea is developed in detail by discussing the difference between the somewhat standard case of thoughts about spatio-temporal medium-sized inanimate objects and the case of thoughts about the natural numbers. It is contended that this new Pluralist theory of singular thought can successfully solve the scope problem. (shrink)

According to the sufficiency theory of justice in health, justice requires that people have equal access to adequate health. In this article, I lay out the structure of this view and I assess its distributive implications for setting priority (i) between health needs across persons and (ii) between health care spending and other societal goods. I argue, first, that according to the sufficiency theory, deficiency in health cannot be completely offset by providing other societal goods. And, second, that (...) it can prevent the medicalization of societies by stressing that improvements beyond the level of adequate health have relatively little weight, if any, from the standpoint of justice. (shrink)

This paper argues that, with modification, Rawls's social contract theory can produce principles of distributive justice applying to the severely disabled. It is a response to critics who claim that Rawls's assumption that the parties in the original position represent fully cooperating citizens excludes the disabled from the social contract. I propose that this idealizing assumption should be dropped at the constitutional stage of the contract where the parties decide on a social minimum. Knowing that they might not be (...) fully capable of social cooperation, the parties will choose a social minimum that is as high and comprehensive as is compatible with the difference principle. This will ensure that the disabled have an adequate income. (shrink)