I consider games with ambiguous payoffs played by non-Expected Utility decision makers. Three equilibrium solutions are studied. Nash equilibrium in which equilibrium mixed strategies must be best responses, Crawford equilibrium in beliefs and pure equilibrium in beliefs in which equilibrium strategies are mixtures of best responses, with the latter restricting best responses to pure actions. I study the interactions between ambiguity preferences on one side and equilibrium properties on the other. I show how the equilibrium concepts differ, computing necessary and (...) sufficient conditions for existence and equivalence. I also show how these solution concepts fare against two fundamental principles of Nash equilibrium in standard games: the principle of indifference and the reduction principle. Given both are central to the computation of Nash equilibrium in games with Expected Utility players, their failure indicates how relaxing the Expected Utility hypothesis may disrupt standard game theoretic results such as the characterization of equilibria in two-player games. (shrink)

Preference is a basic notion in human behaviour, underlying such varied phenomena as individual rationality in the philosophy of action and game theory, obligations in deontic logic (we should aim for the best of all possible worlds), or collective decisions in social choice theory. Also, in a more abstract sense, preference orderings are used in conditional logic or non-monotonic reasoning as a way of arranging worlds into more or less plausible ones. The field of preference logic (cf. Hansson [10]) studies (...) formal systems that can express and analyze notions of preference between various sorts of entities: worlds, actions, or propositions. The art is of course to design a language that combines perspicuity and low complexity with reasonable expressive power. In this paper, we take a particularly simple approach. As preferences are binary relations between worlds, they naturally support standard unary modalities. In particular, our key modality ♦ϕ will just say that is ϕ true in some world which is at least as good as the current one. Of course, this notion can also be indexed to separate agents. The essence of this language is already in [4], but our semantics is more general, and so are our applications and later language extensions. Our modal language can express a variety of preference notions between propositions. Moreover, as already suggested in [9], it can “deconstruct” standard conditionals, providing an embedding of conditional logic into more standard modal logics. Next, we take the language to the analysis of games, where some sort of preference logic is evidently needed ([23] has a binary modal analysis different from ours). We show how a qualitative unary preference modality suffices for defining Nash Equilibrium in strategic games, and also the Backward Induction solution for finite extensive games. Finally, from a technical perspective, our treatment adds a new twist. Each application considered in this paper suggests the need for some additional access to worlds before the preference modality can unfold its true power.. (shrink)

Political science and economic science . . . make use of the same language, the same mode of abstraction, the same instruments of thought and the same method of reasoning. (Black 1998, 354) Proponents as well as opponents of economics imperialism agree that imperialism is a matter of unification; providing a unified framework for social scientific analysis. Uskali Mäki distinguishes between derivational and ontological unification and argues that the latter should serve as a constraint for the former. We explore whether, (...) in the case of rational-choice political science, self-interested behavior can be seen as a common causal element and solution concepts as the common derivational element, and whether the former constraints the use of the latter. We find that this is not the case. Instead, what is common to economics and rational-choice political science is a set of research heuristics and a focus on institutions with similar structures and forms of organization. (shrink)

In this paper, we study solution concepts for cooperative games with stochastic payoffs. we define four kinds of solution concepts, namely the most coalitional (marginal) stable solution and the fairest coalitional (marginal) solution, by minimizing the total variance of excesses of coalitions (individual players). All these four concepts are optimal solutions of corresponding optimal problem under the least square criterion. It turns out that the fairest coalitional (marginal) solution belongs to the set of the most (...) coalitional (marginal) stable solutions. Inspired by the definition of nucleolus, we propose various extended nucleolus based on lexicographic criterion. Furthermore, axiomatizations of the proposed solutions are exhibited through the linkage between the stochastic and deterministic models. (shrink)

Children acquire complex concepts like DOG earlier than simple concepts like BROWN, even though our best neuroscientific theories suggest that learning the former is harder than learning the latter and, thus, should take more time (Werning 2010). This is the Complex- First Paradox. We present a novel solution to the Complex-First Paradox. Our solution builds on a generalization of Xu and Tenenbaum’s (2007) Bayesian model of word learning. By focusing on a rational theory of concept learning, we (...) show that it is easier to infer the meaning of complex concepts than that of simple concepts. (shrink)

Despite being one of the most dependable methods used by applied mathematicians and engineers in handling complex systems, the finite element method commits variational crimes. This paper contextualizes the concept of variational crime within a broader account of mathematical practice by explaining the tradeoff between complexity and accuracy involved in the construction of numerical methods. We articulate two standards of accuracy used to determine whether inexact solutions are good enough and show that, despite violating the justificatory principles of one, (...) the finite element method nevertheless succeeds in obtaining its legitimacy from the other. (shrink)

First, I offer a solution to the metaphysical problem of the mind–body relation, drawing on the fact of its distinctness in kind. Secondly, I demonstrate how, contrary to what is denied, Descartes’ metaphysical commitments allow for the intellect's clear and distinct conception of the mind–body union. Central to my two-fold defence is a novel account of the metaphysics of Descartes’ Causal Principle: its neutrality, and the unanalysable, fundamental nature of causality. Without the presupposition, and uniqueness of the mind-body union (...) there can be no mind-body interaction; this throws new light on current concerns in metaphysics and philosophy of mind. (shrink)

A feature of the agro-industrial sphere is the high probability of distribution of production or research sites in areas far from each other for a considerable distance. Moreover, the center for collecting information and processing it, as a rule, is concentrated in one compact place. For research institutions, this feature often acquires a state of rather urgent problem, which requires the search for new innovative approaches. The paper proposes elements of the concept of construction and technological solutions for methods (...) of operational data transfer of field research from agricultural areas to a remote database for data storage with the possibility of feedback. As an example, the procedure of qualification examination of plant varieties with the definition of the criteria of "difference, homogeneity and stability" and "suitability for propagation of the variety in Ukraine" was chosen. (shrink)

A feature of the agro-industrial sphere is the high probability of distribution of production or research sites in areas far from each other for a considerable distance. Moreover, the center for collecting information and processing it, as a rule, is concentrated in one compact place. For research institutions, this feature often acquires a state of rather urgent problem, which requires the search for new innovative approaches. The paper proposes elements of the concept of construction and technological solutions for methods (...) of operational data transfer of field research from agricultural areas to a remote database for data storage with the possibility of feedback. As an example, the procedure of qualification examination of plant varieties with the definition of the criteria of "difference, homogeneity and stability" and "suitability for propagation of the variety in Ukraine" was chosen. (shrink)

The so-called ‘‘species problem’’ has plagued evolution- ary biology since before Darwin’s publication of the aptly titled Origin of Species. Many biologists think the problem is just a matter of semantics; others complain that it will not be solved until we have more empirical data. Yet, we don’t seem to be able to escape discussing it and teaching seminars about it. In this paper, I briefly examine the main themes of the biological and philosophical liter- atures on the species problem, (...) focusing on identifying common threads as well as relevant differences. I then argue two fundamental points. First, the species problem is not primarily an empirical one, but it is rather fraught with philosophical questions that require—but cannot be settled by—empirical evidence. Second, the (dis-)solution lies in explicitly adopting Wittgenstein’s idea of ‘‘family resemblance’’ or cluster concepts, and to consider spe- cies as an example of such concepts. This solution has several attractive features, including bringing together apparently diverging themes of discussion among bio- logists and philosophers. The current proposal is con- ceptually independent (though not incompatible) with the pluralist approach to the species problem advocated by Mishler, Donoghue, Kitcher and Dupre ́, which implies that distinct aspects of the species question need to be emphasized depending on the goals of the researcher. From the biological literature, the concept of species that most closely matches the philosophical discussion pre- sented here is Templeton’s cohesion idea. (shrink)

This paper uses the resources of higher-order logic to articulate a Fregean conception of predicate reference, and of word-world relations more generally, that is immune to the concept horse problem. The paper then addresses a prominent style of expressibility problem for views of broadly this kind, versions of which are due to Linnebo, Hale, and Wright.

La recherche d’une condition nécessaire et suffisante pour éviter les antinomies de la théorie des ensembles nous amène à formuler deux règles qui défendent l’introduction, dans le système, de certaines définitions non-prédicatives. L’observation de ces règles limite l’application de l’opération cantorienne, de sorte qu’on en arrive à distinguer, parmi les ensembles infinis, ceux dont la puissance fait partie de la série des alephs, et ceux dont la puissance dépasse n’importe lequel des termes de cette série.

In this paper, we show that reproducibility is a severe problem that concerns simulation models. The reproducibility problem challenges the concept of numerical solution and hence the conception of what a simulation actually does. We provide an expanded picture of simulation that makes visible those steps of simulation modeling that are numerically relevant, but often escape notice in accounts of simulation. Examining these steps and analyzing a number of pertinent examples, we argue that numerical solutions are importantly different (...) from usual mathematical solutions. They are do not merely approximate the latter, but introduce new problems, including issues of artificiality, stability, and well-posedness. Consequently, simulation modelling can attain reproducibility only to a certain degree because it is working with numerical solutions. (shrink)

William L. Rowe poses a dilemma between God’s freedom and essential moral goodness by arguing that God cannot satisfy the arguably accepted condition for libertarian freedom, namely, ability to do otherwise. Accordingly, if God does a morally good action A freely, then there is at least a possible world in which God refrains from doing A and thereby does the morally wrong action. And if God does a morally wrong action in one of the possible worlds, he ceases to be (...) essentially morally perfect. I will argue that Rowe’s conclusion is based on a specific possible world semantics, and we might avoid Rowe’s conclusion with an alternative understanding of modality. In doing so, I will examine the conception of modality proposed by al-Ghaza ̄l ̄ı in which the possibility of a state of affairs does not entail its actuality in at least one possible world. (shrink)

Epistemological disjunctivism says that one can know that p on the rational basis of one’s seeing that p. The basis problem for disjunctivism says that that can’t be since seeing that p entails knowing that p on account of simply being the way in which one knows that p. In defense of their view disjunctivists have rejected the idea that seeing that p is just a way of knowing that p (the SwK thesis). That manoeuvre is familiar. In this paper (...) I explore the prospects for rejecting instead the thought that if the SwK thesis is true then seeing that p can’t be one’s rational basis for perceptual knowledge. I explore two strategies. The first situates disjunctivism within the context of a ‘knowledge-first’ approach that seeks to reverse the traditional understanding of the relationship between perceptual knowledge and justification (or rational support). But I argue that a more interesting strategy situates disjunctivism within a context that accepts a more nuanced understanding of perceptual beliefs. The proposal that I introduce reimagines disjunctivism in light of a bifurcated conception of perceptual knowledge that would see it cleaved along two dimensions. On the picture that results perceptual knowledge at the judgemental level is rationally supported by perceptual knowledge at the merely functional or ‘animal’ level. This supports a form of disjunctivism that I think is currently off the radar: one that’s consistent both with the SwK thesis and a commitment to a traditional reductive account of perceptual knowledge. (shrink)

I argue for an evolutionary solution to Fodor's radical concept nativism puzzle.

There must be innate conceptual machinery, but perhaps not as much as Carey proposes. A single mechanism of Perceptual Meaning Analysis that simplifies spatiotemporal information into a small number of conceptual primitives may suffice. This approach avoids the complexities and ambiguities of interactions between separate dedicated analyzers and central concepts that Carey posits, giving learning a somewhat larger role in early concept formation.

Theater rehearsals are (usually) confronted with the problem of having to transform a written text into an audio-visual, situated and temporal performance. Our contribution focuses on the emergence and stabilization of a gestural form as a solution for embodying a certain aesthetic concept which is derived from the script. This process involves instructions and negotiations, making the process of stabilization publicly and thus intersubjectively accessible. As scenes are repeatedly rehearsed, rehearsals are perspicuous settings for tracking interactional histories. Based (...) on videotaped professional theatre interactions in Germany, we focus on consecutive instances of rehearsing the same scene and trace the interactional history of a particular gesture. This gesture is used by the director to instruct the actors to play a particular aspect of a scene adopting a certain aesthetic concept. Stabilization requires the emergence of shared knowledge. We will show the practices by which shared knowledge is established over time during the rehearsal process and, in turn, how the accumulation of knowledge contributes to a change in the interactional practices themselves. Specifically, we show how a gesture emerges in the process of developing and embodying an aesthetic concept, and how this gesture eventually becomes a sign that refers to and evokes accumulated knowledge. At the same time, we show how this accumulated knowledge changes the instructional activities in the rehearsal process. Our study contributes to the overall understanding of knowledge accumulation in interaction in general and in theater rehearsals in particular. At the same time, it is devoted to the central importance of gestures in theater, which are both a means and a product of theatrical staging. (shrink)

In this paper it is analyzed from the informational perspective the relation between mind and body, an ancient philosophic issue defined as a problem, which still did not receive up to date an adequate solution. By introducing/using the concept of information, it is shown that this concept includes two facets, one of them referring to the common communications and another one referring to a hidden/structuring matter-related information, effectively acting in the human body and in the living systems, (...) which determines the dynamic inter-change of information between specific structures of the organism by electric/electronic/chemical agents and genetic/epigenetic processes. It is shown that the maintenance of body, permanently and obligatory depending on the external matter (foods, air, water) resources, needed to provide both the structuring/restructuring basic material and energy, determines the necessary existence of an info-managing system, administrating the internal mechano-chemical/physical processes. As a natural consequence, such a system should organize and assure own survival by an effective informational operability to detect the external food resources, to select the appropriate interest information and to decide as a function of circumstances. One important component in such an informational system is memory, allowing to dispose of the reference informational data for analysis/comparison and the selection between good and bad binary possible decisions. The memory receives and stores therefore signals from external reality and from the body itself, referring to the emotional reaction, digestion status, creation, and inherited predilections, within specific info-neural communication circuits between the brain and body execution/sensitive organs, the human body appearing as an integrated info-matter self-managed dynamic system. The specific body components memorize information with different degrees of info-integration: short/long-term integration, emotive/action reaction, info-abilities, culminating with the integration in the chromosomal structures by epigenetic processes. The new acquired information is transgenerationally transmissible, and is manifested as new traits, showing the adaptation capability of the human and close relation between mind and body. Analyzing the results of such a mind-body informational model in comparison with the earlier assumed/proposed/asserted archaic, Greek and Occidental philosophies, which represent only partial aspects of this relation, it is shown that this informational model, elaborated in terms of information on the basis of scientific reasons and arguments, constitutes a general, realist, and coherent model of the mind-body relation, able to integrate and/or explain most of the others. (shrink)

In this paper three different solutions to Grelling’s paradox, also called the heterological paradox, are given. Firstly, after given the original formulation of the paradox by Grelling and Nelson in 1908, a solution to this paradox offered by Frank Plumpton Ramsey in 1925 is presented. His solution is based on the different meanings of the word “meaning.” Secondly, Grelling himself advocated the solution proposed by Uuno Saarnio in 1937. Saarnio’s solution is based on the exact definitions (...) of the concept of word, and the concept of denoting. Thirdly, a solution to this paradox was proposed also by Georg Henrik von Wright in 1960, but his solution consists of saying that the word “heterological” does not name a concept—or it names a concept only up to a singular point. (shrink)

The paradox of analysis asks how a putative conceptual analysis can be both true and informative. If it is true then isn’t it analytic? And if it is analytic then how can it be informative? Our proposed solution rests on a distinction between explicit knowledge of meaning and implicit knowledge of meaning and on a correlative distinction between two kinds of conceptual competence. If one initially possesses only implicit knowledge of the meaning of a given concept and the (...) associated linguistic expression, then a conceptual analysis can be both analytic and informative. (shrink)

In the Critique of the Power of Judgment, Kant introduces the notion of the reflective judgment and the a priori principle of purposiveness or systematicity of nature. He claims that the ability to judge objects by means of this principle underlies empirical concept acquisition and it is therefore necessary for cognition in general. In addition, he suggests that there is a connection between this principle and judgments of taste. Kant’s account of this connection has been criticized by several commentators (...) for the reason that it leads to the ‘everythingisbeautiful’ problem. In this paper I argue, contrary to these objections, that both finding an object beautiful and acquiring the concept represent the satisfaction of the same principle of nature’s purposiveness, which refers to the same cognitive need we have, that is, to systematize experience. I avoid the ‘everything is beautiful’ problem by arguing that aesthetic reflection refers to the synthesis of object’s individual and distinctive properties, while logical reflection refers to the synthesis of object’s general properties that it shares with other objects of its kind. Because aesthetic purposiveness is different from logical purposiveness, this allows for the possibility that we can have an object of cognition, without finding this object beautiful. (shrink)

Scotus' theory of common nature is the basis of his solution of the problem of indivi_duation. The common nature itself is indifferent regarding the modes of universality and singularity, there is no conflict in its being "this" and "non-this". The ground of universality is reason; the principle of individuation, which is the ground of singularity, was determined later, after the critical discussion of the conceptions of his predecessors. It leads him to a conclusion, that the principle of induividuation must (...) be positive , intrinsic , substantial , occurring rather in the order of form . This criticism suggests his own original way of the resolution of the problem of individuation. (shrink)

This paper supports the scientific position that panpsychism is a valid category of possible resolutions to the hard problem of consciousness, and it focuses on a solution to the 'combination problem' in panpsychism. I argue for a new way of thinking about consciousness in which consciousness is not viewed in reference to subjects, and that the concept of a 'subject' is borne of the illusion of self. Therefore, we don't face a combination problem if the notion of a (...) subject is superfluous and consciousness itself is pervasive in the form of a field. The paper is also a more general discussion about the importance of pursuing this scientific question in the twenty-first century: is consciousness a more fundamental aspect of the universe than we have previously assumed? (shrink)

In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.

There is an argument (first presented by Fitch), which tries to show by formal means that the anti-realistic thesis that every truth might possibly be known, is equivalent to the unacceptable thesis that every truth is actually known (at some time in the past, present or future). First, the argument is presented and some proposals for the solution of Fitch's Paradox are briefly discussed. Then, by using Wehmeier's modal logic with subjunctive marks (S5*), it is shown how the derivation (...) can be blocked if one respects adequately the distinction between the indicative and the subjunctive mood. Essentially, this proposal amounts to the one by Edgington which was formulated with the help of the actuality-operator. Finally it is shown how the criticisms by Williamson against Edgington can be answered by the formulation of a new conception of possible knowledge that \alpha (thereby \alpha being in the indicative mood and thus referring to the actual world). This conception is based on the concept of same de re knowledge in different possible worlds. (shrink)

The subject of this essay is the classical problem of induction, which is sometimes attributed to David Hume and called “the Humean Problem of Induction.” Here, I examine a certain sort of Neo-Aristotelian solution to the problem, which appeals to the concept of natural kinds in its response to the inductive skeptic. This position is most notably represented by Howard Sankey and Marc Lange. The purpose of this paper is partly destructive and partly constructive. I raise two questions. (...) The first is: Are the natural kind solutions to the problem successful? The first thesis of this paper is that they are not, and I will show how and why they fail. And the second question I raise here is: Is there nonetheless some alternative Neo-Aristotelian solution to the problem which is successful and can overcome the shortcomings endemic to the Sankey-Lange account? The second thesis is that there is, and I’ll attempt to sketch one. My stance here may be summarized by saying that, while I agree with Sankey and Lange that the problem of induction can be adequately resolved, and while I am on the whole sympathetic with the Aristotelian spirit of their account, I am, for all that, dissatisfied with the letter of them. Nothing short of a more thoroughgoing Aristotelianism about the epistemology of induction will do. (shrink)

The principal aim of this book is to develop and defend an analysis of the concept of moral obligation. The analysis is neutral regarding competing substantive theories of obligation, whether consequentialist or deontological in character. What it seeks to do is generate solutions to a range of philosophical problems concerning obligation and its application. Amongst these problems are deontic paradoxes, the supersession of obligation, conditional obligation, prima facie obligation, actualism and possibilism, dilemmas, supererogation, and cooperation. By virtue of its (...) normative neutrality, the analysis provides a theoretical framework within which competing theories of obligation can be developed and assessed. This study is a major contribution to metaethics that will be of particular interest to all philosophers concerned with normative ethical theory. (shrink)

1. Confirmation Theory One, which we shall construct, when applied to the Raven Hypothesis yields the following results: Any black raven confirms the Raven Hypothesis.Any black non-raven confirms the Raven Hypothesis.Any non-black raven disconfirms the Raven Hypothesis.Any non-black non-raven is neutral to the Raven Hypothesis.Theory One consists of two parts: six basic concepts from confirmation theory proper, and the underlying logic.

This chapter proposes a solution to the Trolley Problem in terms of the Kantian prohibition on using a person ‘merely as a means.’ A solution of this type seems impossible due to the difficulties it is widely thought to encounter in the scenario known as the Loop case. The chapter offers a conception of ‘using merely as a means’ that explains the morally relevant difference between the classic Bystander and Footbridge cases. It then shows, contrary to the standard (...) view, that a bystander who diverts the trolley in the Loop case need not be using someone ‘merely as a means’ in doing so. This makes it possible to show why the Loop scenario does not undermine the explanation of the salient moral difference between the Bystander and Footbridge cases. (shrink)