This article discusses the set of Harsanyi payoff vectors of a cooperative TU-game, also known as the Selectope. We reconsider some results on Harsanyi payoff vectors within a more general framework. First, an intuitive approach is used, showing that the set of Harsanyi payoff vectors is the core of an associated convex game. Next, the set of individual rational Harsanyi payoff vectors, the Harsanyi imputations in short, is considered. Existence conditions are provided, and if non-empty, we provide a description as (...) the core of a well-defined convex game, and show that it is an externally stable set. (shrink)

This article discusses the set of Harsanyi payoff vectors of a cooperative TU-game, also known as the Selectope. We reconsider some results on Harsanyi payoff vectors within a more general framework. First, an intuitive approach is used, showing that the set of Harsanyi payoff vectors is the core of an associated convex game. Next, the set of individual rational Harsanyi payoff vectors, the Harsanyi imputations in short, is considered. Existence conditions are provided, and if non-empty, we provide a description as (...) the core of a well-defined convex game, and show that it is an externally stable set. (shrink)

We generalize the concept of a cooperative non-transferable utility game by introducing a socially structured game. In a socially structured game every coalition of players can organize themselves according to one or more internal organizations to generate payoffs. Each admissible internal organization on a coalition yields a set of payoffs attainable by the members of this coalition. The strengths of the players within an internal organization depend on the structure of the internal organization and are represented by an exogenously given (...) power vector. More powerful players have the power to take away payoffs of the less powerful players as long as those latter players are not able to guarantee their payoffs by forming a different internal organization within some coalition in which they have more power.We introduce the socially stable core as a solution concept that contains those payoffs that are both stable in an economic sense, i.e., belong to the core of the underlying cooperative game, and stable in a social sense, i.e., payoffs are sustained by a collection of internal organizations of coalitions for which power is distributed over all players in a balanced way. The socially stable core is a subset and therefore a refinement of the core. We show by means of examples that in many cases the socially stable core is a very small subset of the core.We will state conditions for which the socially stable core is non-empty. In order to derive this result, we formulate a new intersection theorem that generalizes the KKMS intersection theorem. We also discuss the relationship between social stability and the wellknown concept of balancedness for NTU-games, a sufficient condition for non-emptiness of the core. In particular we give an example of a socially structured game that satisfies social stability and therefore has a non-empty core, but whose induced NTU-game does not satisfy balancedness in the general sense of Billera. (shrink)

The Shapley value is the unique value defined on the class of cooperative games in characteristic function form which satisfies certain intuitively reasonable axioms. Alternatively, the Banzhaf value is the unique value satisfying a different set of axioms. The main drawback of the latter value is that it does not satisfy the efficiency axiom, so that the sum of the values assigned to the players does not need to be equal to the worth of the grand coalition. By definition, the (...) normalized Banzhaf value satisfies the efficiency axiom, but not the usual axiom of additivity. (shrink)

A cooperative game with transferable utility–or simply a TU-game– describes a situation in which players can obtain certain payoffs by cooperation. A value function for these games assigns to every TU-game a distribution of payoffs over the players. Well-known solutions for TU-games are the Shapley and the Banzhaf value. An alternative type of solution is the concept of share function, which assigns to every player in a TU-game its share in the worth of the grand coalition. In this paper we (...) consider TU-games in which the players are organized into a coalition structure being a finite partition of the set of players. The Shapley value has been generalized by Owen to TU-games in coalition structure. We redefine this value function as a share function and show that this solution satisfies the multiplication property that the share of a player in some coalition is equal to the product of the Shapley share of the coalition in a game between the coalitions and the Shapley share of the player in a game between the players within the coalition. Analogously we introduce a Banzhaf coalition structure share function. Application of these share functions to simple majority games show some appealing properties. (shrink)

We generalize the concept of a cooperative non-transferable utility game by introducing a socially structured game. In a socially structured game every coalition of players can organize themselves according to one or more internal organizations to generate payoffs. Each admissible internal organization on a coalition yields a set of payoffs attainable by the members of this coalition. The strengths of the players within an internal organization depend on the structure of the internal organization and are represented by an exogenously given (...) power vector. More powerful players have the power to take away payoffs of the less powerful players as long as those latter players are not able to guarantee their payoffs by forming a different internal organization within some coalition in which they have more power.We introduce the socially stable core as a solution concept that contains those payoffs that are both stable in an economic sense, i.e., belong to the core of the underlying cooperative game, and stable in a social sense, i.e., payoffs are sustained by a collection of internal organizations of coalitions for which power is distributed over all players in a balanced way. The socially stable core is a subset and therefore a refinement of the core. We show by means of examples that in many cases the socially stable core is a very small subset of the core.We will state conditions for which the socially stable core is non-empty. In order to derive this result, we formulate a new intersection theorem that generalizes the KKMS intersection theorem. We also discuss the relationship between social stability and the wellknown concept of balancedness for NTU-games, a sufficient condition for non-emptiness of the core. In particular we give an example of a socially structured game that satisfies social stability and therefore has a non-empty core, but whose induced NTU-game does not satisfy balancedness in the general sense of Billera. (shrink)

The best arguments for possible worlds as states of affairs furnish us with equally good arguments for impossible worlds of the same sort. I argue for a theory of impossible worlds on which the impossible worlds correspond to maximal inconsistent classes of propositions. Three objections are rejected. In the final part of the paper, I present a menu of impossible worlds and explore some of their interesting formal properties.

Several themes of David Lewis's theory of counterfactuals, especially their sensitivity to context, pave the way for a viable theory of non-trivial counterpossibles. If Lewis was successful in defending his account against the early objections, a semantics of counterpossibles can be defended from similar objections in the same way. The resulting theory will be extended to address 'might' counterfactuals and questions about the relative "nearness" of impossible worlds.

Arguments concerning divine conservation and concurrence often assume that actions of certain descriptions would be superfluous if God were to perform them, and it is then concluded that God does not perform such actions. In particular, it often seems that atomic actions cannot be the result of cooperative activity between God and creatures since there is no apparent way to divide the labor between the two. However, the actions that are atomic in one model of divine action may not be (...) atomic on another. On fine-grained models there may be unexpected prospects for nonredundant divine action. (shrink)

One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logical status of reasoning that employs visualization? What are the cognitive advantages and pitfalls of this reasoning? What kinds of tools can be developed to aid in the use of visual representation? This newest volume on the Studies in Logic and Computation series addresses the logical aspects of the visualization of information. The authors of these specially commissioned papers explore (...) the properties of diagrams, charts, and maps, and their use in problem solving and teaching basic reasoning skills. As computers make visual representations more commonplace, it is important for professionals, researchers and students in computer science, philosophy, and logic to develop an understanding of these tools; this book can clarify the relationship between visuals and information. (shrink)

Although agreement on the positive sign of the relationship between corporate social and financial performance is observed in the literature, the mechanisms that constitute this relationship are not yet well-known. We address this issue by extending management’s stakeholder theory by adding insights from psychology’s prospect decision theory and sociology’s resource dependence theory. Empirically, we analyze an extensive panel dataset, including information on disaggregated measures of social performance for the S&P 500 in the 1997–2002 period. In so doing, we enrich the (...) extant literature by focusing on stakeholder heterogeneity, perceptional framing, and disaggregated measures of corporate social performance. (shrink)

Plausibly, no agent ever performs an action without some desire to perform that action. If so, a regress argument shows that, given incompatibilism, we are only rarely free. The argument sidesteps recent objections to this thesis.

We present a Kripke model for Girard's Linear Logic (without exponentials) in a conservative fashion where the logical functors beyond the basic lattice operations may be added one by one without recourse to such things as negation. You can either have some logical functors or not as you choose. Commutatively and associatively are isolated in such a way that the base Kripke model is a model for noncommutative, nonassociative Linear Logic. We also extend the logic by adding a coimplication operator, (...) similar to Curry's subtraction operator, which is resituated with Linear Logic's contensor product. And we can add contraction to get nondistributive Relevance Logic. The model rests heavily on Urquhart's representation of nondistributive lattices and also on Dunn's Gaggle Theory. Indeed, the paper may be viewed as an investigation into nondistributive Gaggle Theory restricted to binary operations. The valuations on the Kripke model are three valued: true, false, and indifferent. The lattice representation theorem of Urquhart has the nice feature of yielding Priestley's representation theorem for distributive lattices if the original lattice happens to be distributive. Hence the representation is consistent with Stone's representation of distributive and Boolean lattices, and our semantics is consistent with the Lemmon-Scott representation of modal algebras and the Routley-Meyer semantics for Relevance Logic. (shrink)

"Bartley and Radnitzky have done the philosophy of knowledge a tremendous service. Scholars now have a superb and up-to-date presentation of the fundamental ideas of evolutionary epistemology." --Philosophical Books.

Against the historically widespread view that divine conservation is a continuation of the act of creation, William Lane Craig argues that conservation is a different kind of act since, unlike creation ex nihilo, it is diachronic and it acts on a patient. Timothy Miller poses a timing objection against Craig's view, arguing that on such a view either the existence of a conserved entity is discontinuous, or the conserving activity overdetermines its effect, or the conserving activity is not continuous. The (...) present paper explores the options that remain for a diachronic, agent-patient account of conservation. It includes several models of conservation on which divine activity is continuous but not overdetermined since its effect at each time is something less specific than the existence of a created being at a time. (shrink)

A recently advanced argument for purgatory hinges on the need for complete sanctification before one can enter heaven. The argument has a modal gap.The gap can be exploited to fashion a competing account of how sanctification occurs in the afterlife according to which it is in part a heavenly process.The competing account usefully complicates the overall case for purgatory and raises questions about how the notion ought to be understood.

At the start of the 21st century, Corporate Social Responsibility (CSR) seems to have great potential for innovating business practices with a positive impact on People, Planet and Profit. In this article the differences between the management systems approach of the nineties, and Corporate Social Responsibility are analysed.An analysis is structured around three business principles that are relevant for CSR and management systems: (1) doing things right the first time, (2) doing the right things, and (3) continuous improvement and innovation. (...) Basically CSR is focussing on the second principle, and management systems focus on the first. However, CSR is very likely to build on the management systems as well.From a CSR point of view, the existing generation of management systems with their focus on rational control (= doing things right) can only be of limited use in the development of CSR. However, the preventive rationalities of management systems are important. Values and the principle doing the right things is extremely relevant for CSR. This goes far beyond the present generation of ISO type management systems; opportunities stem from building on TQM approaches like the EFQM Business Excellence model. Continuous improvement and innovation is a permanent challenge underlying the two other business principles, and requires both individual and organisational learning processes. In the present generation of management systems, continuous improvement mainly addresses rational prevention, barely the value aspects of business.For the further development and implementation of CSR, each of the three business management principles are vital. There is a need for a new generation of management systems that addresses the values at stake in strategic decision-making, both at company level and in the behaviour of individuals, while the rationalities of prevention and anticipation are still relevant. In both directions more emphasis for continuous learning and innovation will be needed.CSR is likely to trigger the development of management systems in the directions mentioned. This will support companies to be credible and transparent in improving the performance with respect to people, planet and profit. (shrink)

The paper first formalizes the ramified type theory as (informally) described in the Principia Mathematica [32]. This formalization is close to the ideas of the Principia, but also meets contemporary requirements on formality and accuracy, and therefore is a new supply to the known literature on the Principia (like [25], [19], [6] and [7]).As an alternative, notions from the ramified type theory are expressed in a lambda calculus style. This situates the type system of Russell and Whitehead in a modern (...) setting. Both formalizations are inspired by current developments in research on type theory and typed lambda calculus; see [3]. (shrink)

Despite hundreds of definitions, no consensus exists on a definition of life or on the closely related and problematic definitions of the organism and death. These problems retard practical and theoretical development in, for example, exobiology, artificial life, biology and evolution. This paper suggests improving this situation by basing definitions on a theory of a generalized particle hierarchy. This theory uses the common denominator of the “operator” for a unified ranking of both particles and organisms, from elementary particles to animals (...) with brains. Accordingly, this ranking is called “the operator hierarchy”. This hierarchy allows life to be defined as: matter with the configuration of an operator, and that possesses a complexity equal to, or even higher than the cellular operator. Living is then synonymous with the dynamics of such operators and the word organism refers to a select group of operators that fit the definition of life. The minimum condition defining an organism is its existence as an operator, construction thus being more essential than metabolism, growth or reproduction. In the operator hierarchy, every organism is associated with a specific closure, for example, the nucleus in eukaryotes. This allows death to be defined as: the state in which an organism has lost its closure following irreversible deterioration of its organization. The generality of the operator hierarchy also offers a context to discuss “life as we do not know it”. The paper ends with testing the definition’s practical value with a range of examples. (shrink)

Die Autoren dieses Buches befassen sich mit dem Verhältnis der Wissenschaftstheorie zu den Wissenschaften. Vertreter verschiedener Natur- und Geisteswissenschaften kommen hier nach folgendem Anordnungsprinzip zu Worte: Von den »hard sciences« zu den »soft sciences«, von den empirisch leichter prüfbaren zu den empirisch schwerer prüfbaren Wissenschaften. Die klassischen Naturwissenschaften, Physik, Chemie und Biologie, machen den Anfang. Dann folgen Ökonomie, Soziologie und Geschichte.Fast alle Beiträge sind aus Vorträgen hervorgegangen, die im Juni 1989 während eines wissenschaftlichen Kolloquiums an der Universität Trier gehalten und (...) diskutiert wurden.Das Thema der Trierer Tagung lautete: »Der Kritische Rationalismus und die Wissenschaften«. Die jeweiligen Vertreter ihres Faches waren also eingeladen, insbesondere ihr Verhältnis zur Wissenschaftstheorie des Kritischen Rationalismus darzulegen. Das Tagungsthema war vor dem Hintergrund der in demselben Jahr erfolgenden Emeritierung von Gerard Radnitzky, einem der renommiertesten Vertreter des Kritischen Rationalismus, gewählt worden. (shrink)

Communication is an important feature of the living world that mainstream biology fails to adequately deal with. Applying two main disciplines can be contemplated to fill in this gap: semiotics and information theory. Semiotics is a philosophical discipline mainly concerned with meaning; applying it to life already originated in biosemiotics. Information theory is a mathematical discipline coming from engineering which has literal communication as purpose. Biosemiotics and information theory are thus concerned with distinct and complementary possible meanings of the word (...) ‘communication’. Since literal communication needs to be secured so as to enable semantics being communicated, information theory is a necessary prerequisite to biosemiotics. Moreover, heredity is a purely literal communication process of capital importance fully relevant to literal communication, hence to information theory. A short introduction to discrete information theory is proposed, which is centred on the concept of redundancy and its use in order to make sequences resilient to errors. Information theory has been an extremely active and fruitful domain of researches and the motor of the tremendous progress of communication engineering in the last decades. Its possible connections with semantics and linguistics are briefly considered. Its applications to biology are suggested especially as regards error-correcting codes which are mandatory for securing the conservation of genomes. Biology needs information theory so biologists and communication engineers should closely collaborate. (shrink)

Gelfand quantales are complete unital quantales with an involution, *, satisfying the property that for any element a, if a b a for all b, then a a* a = a. A Hilbert-style axiom system is given for a propositional logic, called Gelfand Logic, which is sound and complete with respect to Gelfand quantales. A Kripke semantics is presented for which the soundness and completeness of Gelfand logic is shown. The completeness theorem relies on a Stone style representation theorem for (...) complete lattices. A Rasiowa/Sikorski style semantic tableau system is also presented with the property that if all branches of a tableau are closed, then the formula in question is a theorem of Gelfand Logic. An open branch in a completed tableaux guarantees the existence of an Kripke model in which the formula is not valid; hence it is not a theorem of Gelfand Logic. (shrink)

This paper elaborates on conceptual, empirical and practical arguments why corporations need to focus on their social dimensions, in order to further enhance organizational performance. The paper starts with an introduction on the general trend towards inclusiveness and connectedness. It then elaborates on the phase-wise development of cultures and organizational structures. Managing corporate improvement by building cultures of trust is the central focus of this contribution. By showing the cultural dimensions of Great Places to Work and their workplace practices, worthwhile (...) experiences leading to organizational improvement and superior financial performance are demonstrated. (shrink)

This paper elaborates on conceptual, empirical and practical arguments why corporations need to focus on their social dimensions, in order to further enhance organizational performance. The paper starts with an introduction on the general trend towards inclusiveness and connectedness. It then elaborates on the phase-wise development of cultures and organizational structures. Managing corporate improvement by building cultures of trust is the central focus of this contribution. By showing the cultural dimensions of Great Places to Work and their workplace practices, worthwhile (...) experiences leading to organizational improvement and superior financial performance are demonstrated. (shrink)

In much of Christian thought humans are taken to have an ultimate end, understood as the highest attainable good. Christians also anticipate “the life everlasting.” Together these ideas generate a paradox. If the end can be reached in a finite amount of time, some longer-lasting state will be better still, so the purported end is not the highest good after all. But if the end is to possess some good forever, then it will never be reached. So it seems an (...) everlasting being cannot have an ultimate end—a conclusion that apparently makes human life pointless. How can the paradox be solved? (shrink)

This chapter focuses on one of the common fallacies in Western philosophy called “adverse consequences”. The argument from adverse consequences can be seen as an argument that is intended to be pragmatic ‐ about what we should do, not about what is true ‐ but then comes to the wrong kind of conclusion. In many genuinely pragmatic arguments, however, adverse consequences are relevant to the conclusion and no fallacy is committed. So it is important to notice exactly what the conclusion (...) of the argument is. (shrink)

This entry provides a brief exposition and formal reconstruction of the argument for possible worlds in David Lewis's _Counterfactuals_.

The theory of possible worlds has permeated analytic philosophy in recent decades, and its best versions have a consequence which has gone largely unnoticed: in addition to the panoply of possible worlds, there are a great many impossible worlds. A uniform ontological method alone should bring the friends of possible worlds to adopt impossible worlds, I argue, but the theory's applications also provide strong incentives. In particular, the theory facilitates an account of counterfactuals which avoids several of the implausible results (...) of David Lewis's account, and it paves the way for the analogues of Kripkean semantics for epistemic and relevant logics. On the theories of possible worlds as abstract objects, worlds bear a strong resemblance to propositions. I contend that if there are distinct necessarily false propositions, then there are likewise distinct impossible worlds. However, one who regards possible worlds as concrete objects must not recognize impossible worlds, in part because concrete worlds cannot misrepresent certain features of reality, as some impossible worlds must. Accordingly, I defend and develop a theory of impossible worlds as maximal impossible states of affairs. Impossible worlds perform admirably in the analysis of counterfactuals with impossible antecedents. I argue that, contrary to standard accounts, not all counterpossibles are trivially true, and I develop a Lewis-style semantics which allows this result. The point is crucial, since many views presuppose that some counterpossibles are substantive philosophical truths. Finally, I show that impossible worlds hold great promise for doxastic and relevant logics. Epistemic logic needs a domain of propositions which is not closed under strict implication to avoid the problem of logical omniscience, and relevant logic needs such a domain to avoid the famous paradoxes of implication. In sum, impossible world theory promises natural, elegant solutions to philosophical problems in numerous areas where possible worlds alone flounder. These solutions come to most possible world theorists at no cost, since the existence of impossible worlds is entailed by theses they already hold. (shrink)

Whether certain objects compose a whole at a given time does not seem to depend on anything other than the character of those objects and the relations between them. This observation suggests a far-reaching constraint on theories of composition. One version of the constraint has been explicitly adopted by van Inwagen and rules out his own answer to the composition question. The constraint also rules out the other well-known moderate answers that have so far been proposed.

This paper is intended to complement our previous works on the necessary existence of error-correcting codes endowing genomes with the ability of being regenerated, not merely copied. It sketchily recalls some fundamental definitions and results of information theory and error-correcting codes; provides an overview of our research; shows that the disjunction of replication and regeneration enlightens the divide between germinal and somatic cells; suggests that some phenomena referred to as epigenetic may possibly find an explanation within the framework of error-correcting (...) codes; points out some difficulties, especially those related to sexual reproduction; criticizes the template-replication paradigm, and prompts geneticists to become familiar with information theory. (shrink)

This paper presents a theory of the syntactic aspects of human sentence production. An important characteristic of unprepared speech is that overt pronunciation of a sentence can be initiated before the speaker has completely worked out the meaning content he or she is going to express in that sentence. Apparently, the speaker is able to build up a syntactically coherent utterance out of a series of syntactic fragments each rendering a new part of the meaning content. This incremental, left‐to‐right mode (...) of sentence production is the central capability of the proposed Incremental Procedural Grammar (IPG). Certain other properties of spontaneous speech, as derivable from speech errors, hesitations, self‐repairs, and language pathology, are accounted for as well.The psychological plausibility thus gained by the grammar appears compatible with a satisfactory level of linguistic plausibility in that sentences receive structural descriptions which are in line with current theories of grammar. More importantly, an explanation for the existence of configurational conditions on transformations and other linguistics rules is proposed.The basic design feature of IPG which gives rise to these psychologically and linguistically desirable properties, is the “Procedures + Stack” concept. Sentences are built not by a central constructing agency which overlooks the whole process but by a team of syntactic procedures (modules) which work—in parallel—on small parts of the sentence, have only a limited overview, and whose sole communication channel is a stack.IPG covers object complement constructions, interrogatives, and word order in main and subordinate clauses. It handles unbounded dependencies, crossserial dependencies and coordination phenomena such as gapping and conjunction reduction. It is also capable of generating self‐repairs and elliptical answers to questions. IPG has been implemented as an incremental Dutch sentence generator written in LISP. (shrink)

It is possible to predict future life forms? In this paper it is argued that the answer to this question may well be positive. As a basis for predictions a rationale is used that is derived from historical data, e.g. from a hierarchical classification that ranks all building block systems, that have evolved so far. This classification is based on specific emergent properties that allow stepwise transitions, from low level building blocks to higher level ones. This paper shows how this (...) hierarchy can be used for predicting future life forms.The extrapolations suggest several future neural network organisms. Major aspects of the structures of these organisms are predicted. The results can be considered of fundamental importance for several reasons. Firstly, assuming that the operator hierarchy is a proper basis for predictions, the result yields insight into the structure of future organisms. Secondly, the predictions are not extrapolations of presently observed trends, but are fully integrated with all historical system transitions in evolution. Thirdly, the extrapolations suggest the structures of intelligences that, one day, will possess more powerful brains than human beings.This study ends with a discussion of possibilities for falsification of the present theory, the implications of the present predictions in relation to recent developments in artificial intelligence and the philosophical implications of the role of humanity in evolution with regard to the creation of future neural network organisms. (shrink)

Interest in the notion of the possible financial sacrifice suffered by socially responsible investment (SRI) fund investors for considering ethical, social and environmental issues in their investment decisions has spawned considerable academic interest in the performance of SRI funds. Both the Australian and international research literature have yielded largely mixed results. However, several of these studies are hampered by methodological problems which can obscure the significance of reported results, such as the use of small sample sizes, inconsistencies in the time (...) frames selected to analyse performance and different modelling frameworks used to estimate investment returns. This study attempts to redress some of these issues by investigating the returns performance of 89 ethical funds in Australia over the period 1986-2005. Using a multi-factor CAPM model [Fama, E. F., and K. R. French (1996) J. Finance 51(1), 55] (which controls for factors such as size, book-to-market value and momentum) we find that ethical funds significantly under-perform the market in Australia, particularly in the most recent 5 years of our sample period (2000-2005). Risk adjusted returns (using Jensen's alpha) indicate that average annual underperformance is around 1.52% in the 2000-2005 period for our sample and .88% over the whole sample period. Our results contrast with many previous studies (both Australian and international), which have not found statistically significant differences in the performance of ethical funds relative to market benchmarks and/or a matched sample of conventional funds. (shrink)

Plausibly, if an object persists through time, then its later existence must be caused by its earlier existence. Many theists endorse a theory of continuous creation, according to which God is the sole cause of a creature's existence at a given time. The conjunction of these two theses rather unfortunately implies that no object distinct from God persists at all. What strategies for resolving this difficulty are available? (Published Online April 7 2006).

This paper presents the algebraic and Kripke modelsoundness and completeness ofa logic over Boolean monoids. An additional axiom added to thelogic will cause the resulting monoid models to be representable as monoidsof relations. A star operator, interpreted as reflexive, transitiveclosure, is conservatively added to the logic. The star operator isa relative modal operator, i.e., one that is defined in terms ofanother modal operator. A further example, relative possibility,of this type of operator is given. A separate axiom,antilogism, added to the logic (...) causes the Kripke models to support acollection of abstract topological uniformities which become concretewhen the Kripke models are dual to monoids of relations. The machineryfor the star operator is shownto be a recasting of Scott-Montague neighborhood models. An interpretationof the Kripke frames and properties thereof is presented in terms ofcertain CMOS transister networks and some circuit transformation equivalences.The worlds of the Kripke frame are wires and the Kripke relation is a specializedCMOS pass transistor network. (shrink)

We recast parts of decision theory in terms of channel theory concentrating on qualitative issues. Channel theory allows one to move between model theoretic and language theoretic notions as is necessary for an adequate covering. Doing so clarifies decision theory and presents the opportunity to investigate alternative formulations. As an example, we take some of Savage’s notions of decision theory and recast them within channel theory. In place of probabilities, we use a particular logic of preference. We introduce a logic (...) for describing actions separate from the logic of preference over actions. The structures introduced by channel theory that represent the decision problems can be seen to be an abstract framework. This frame-work is very accommodating to changing the nature of the decision problems to handle different aspects or theories about decision making. (shrink)

Simulation relations have been discovered in many areas: Computer Science, philosophical and modal logic, and set theory. However, the simulation condition is strictly a first-order logic statement. We extend modal logic with modalities and axioms, the latter’s modeling conditions are the simulation conditions. The modalities are normal, i.e., commute with either conjunctions or disjunctions and preserve either Truth or Falsity (respectively). The simulations are considered arrows in a category where the objects are descriptive, general frames. One can augment the simulation (...) modalities by axioms for requiring the underlying modeling simulations to be bisimulations or to be p-morphisms. The modal systems presented are multi-sorted and both sound and complete with respect to their algebraic and Kripke semantics. (shrink)

Fast moving classical variables can generate quantum mechanical behavior. We demonstrate how this can happen in a model. The key point is that in classically evolving systems one can still define a conserved quantum energy. For the fast variables, the energy levels are far separated, such that one may assume these variables to stay in their ground state. This forces them to be entangled, so that, consequently, the slow variables are entangled as well. The fast variables could be the vacuum (...) fluctuations caused by unknown super heavy particles. The emerging quantum effects in the light particles are expressed by a Hamiltonian that can have almost any form. The entire system is ontological, and yet allows one to generate interference effects in computer models. This seemed to lead to an inexplicable paradox, which is now resolved: exactly what happens in our models if we run a quantum interference experiment in a classical computer is explained. The restriction that very fast variables stay predominantly in their ground state appears to be due to smearing of the physical states in the time direction, preventing their direct detection. Discussions are added of the emergence of quantum mechanics, and the ontology of an EPR/Bell Gedanken experiment. (shrink)