Why microscopic objects exhibit wave properties (are delocalized), but macroscopic do not (are localized)? Traditional quantum mechanics attributes wave properties to all objects. When complemented with a deterministic collapse model (Quantum Stud.: Math. Found. 3, 279 (2016)) quantum mechanics can dissolve the discrepancy. Collapse in this model means contraction and occurs when the object gets in touch with other objects and satisfies a certain criterion. One single collapse usually does not suffice for localization. But (...) the object rapidly gets in touch with other objects in a short time, leading to rapid localization. Decoherence is not involved. (shrink)

The basic idea of quantum mechanics is that the property of any system can be in a state of superposition of various possibilities. This state of superposition is also known as wave function and it evolves linearly with time in a deterministic way in accordance with the Schrodinger equation. However, when a measurement is carried out on the system to determine the value of that property, the system instantaneously transforms to one of the eigen states and thus we get (...) only a single value as outcome of the measurement. Quantum measurement problem seeks to find the cause and exact mechanism governing this transformation. In an attempt to solve the above problem, in this paper, we will first define what the wave function represents in real world and will identify the root cause behind the stochastic nature of events. Then, we will develop a model to explain the mechanism of collapse of the quantum mechanical wave function in response to a measurement. In the process of development of model, we will explain Schrodinger cat paradox and will show how Born’s rule for probability becomes a natural consequence of measurement process. (shrink)

Reflections on free choice and determinism constitute a recurring, if rarified, sphere of legal reasoning. Controversy, of course, swirls around the perennially vexing question of the propriety of punishing human persons for conduct that they are unable to avoid. Drawing upon conditions similar, if not identical, to those traditionally associated with attribution of moral fault, persons subject to such necessitating causal constraints generally are not considered responsible in the requisite sense for their conduct; and, thus, they are not held culpable (...) for its consequences. The standard argument against free choice asserts that free choice cannot exist because determinism, as a property of laws governing the cosmos, excludes such a possibility. This contingent factual claim, however, has always proven problematic. Contemporary discussions - no doubt aware of this disputed factual premise - draw upon a more novel, and arguably more devastating critique: free will must be rejected because its very conception is incoherent. Rather than assuming the existence of determinism and attempting to show its incompatibility with free will, this argument begins with consideration of the idea of free choice and concludes that, if it is to have any sense at all, it must be compatible with determinism. Obviously, no single treatment of the free will problem could address all its nuances. This Article more modestly offers one possible approach to the question. Part I elaborates in more detail the view that the traditional conception of free choice is incoherent and, thus, inevitably undermines the very responsibility it is asserted to constitute; Part II considers the resulting effort to develop a model of human freedom compatible with determinism; and Part III, drawing upon the prior discussions, describes - in terms of classical action theory - a conception of free choice justifying personal moral and legal responsibility that avoids both the incoherence of "uncaused freedom" as well as the shortcomings of determinism. (shrink)

In this paper, we review and connect the three essential conditions needed by the collapse model to achieve a complete and exact formulation, namely the theoretical, the experimental, and the ontological ones. These features correspond to the three parts of the paper. In any empirical science, the first two features are obviously connected but, as is well known, among the different formulations and interpretations of non-relativistic quantum mechanics, only collapse models, as the paper well illustrates with a (...) richness of details, have experimental consequences. Finally, we show that a clarification of the ontological intimations of collapse models is needed for at least three reasons: (1) to respond to the indispensable task of answering the question ’what are collapse models (and in general any physical theory) about?’; (2) to achieve a deeper understanding of their different formulations; (3) to enlarge the panorama of possible readings of a theory, which historically has often played a fundamental heuristic role. (shrink)

Ever since the early days of quantum mechanics it has been suggested that consciousness could be linked to the collapse of the wave function. However, no detailed account of such an interplay is usually provided. In this paper we present an objective collapse model where the collapse operator depends on integrated information, which has been argued to measure consciousness. By doing so, we construct an empirically adequate scheme in which superpositions of conscious states are dynamically suppressed. (...) Unlike other proposals in which “consciousness causes the collapse of the wave function,” our model is fully consistent with a materialistic view of the world and does not require the postulation of entities suspicious of laying outside of the quantum realm. (shrink)

We give a new argument supporting a gravitational role in quantum collapse. It is demonstrated that the discreteness of space-time, which results from the proper combination of quantum theory and general relativity, may inevitably result in the dynamical collapse of thewave function. Moreover, the minimum size of discrete space-time yields a plausible collapse criterion consistent with experiments. By assuming that the source to collapse the wave function is the inherent random motion of particles described by the (...) wave function, we further propose a concrete model of wavefunction collapse in the discrete space-time. It is shown that the model is consistent with the existing experiments and macroscopic experiences. (shrink)

The abstract concept of indeterministic free will is distinguished from the phenomenon of free will. Evidence for the abstract concept is examined and critically compared with various designs of automata. It is concluded that there is no evidence to support the abstract concept of indeterministic free will, it is inconceivable that a test could be constructed to distinguish an indeterministic agent from a complicated automaton. Testing the free will of an alien visitor is introduced to separate prejudices about who has (...) free will from objective experiments. The phenomenon of free will is modelled with a deterministic decision making agent. The agent values ‘independence’ and satisfies a desire for independence by responding to ‘challenges’. When the agent generates challenges internally it will establish a record of being able to do otherwise. In principle a computer could be built with a free will property. The model also explains false attributions of free will (superstitions). (shrink)

We offer a new argument for the claim that there can be non-degenerate objective chance (“true randomness”) in a deterministic world. Using a formal model of the relationship between different levels of description of a system, we show how objective chance at a higher level can coexist with its absence at a lower level. Unlike previous arguments for the level-specificity of chance, our argument shows, in a precise sense, that higher-level chance does not collapse into epistemic probability, (...) despite higher-level properties supervening on lower-level ones. We show that the distinction between objective chance and epistemic probability can be drawn, and operationalized, at every level of description. There is, therefore, not a single distinction between objective and epistemic probability, but a family of such distinctions. (shrink)

Strong nativist views about numerical concepts claim that human beings have at least some innate precise numerical representations. Weak nativist views claim only that humans, like other animals, possess an innate system for representing approximate numerical quantity. We present a new strong nativist model of the origins of numerical concepts and defend the strong nativist approach against recent cross-cultural studies that have been interpreted to show that precise numerical concepts are dependent on language and that they are restricted to (...) speakers of languages with the right kind of structure. (shrink)

Rational agents face choices, even when taking seriously the possibility of determinism. Rational agents also follow the advice of Causal Decision Theory (CDT). Although many take these claims to be well-motivated, there is growing pressure to reject one of them, as CDT seems to go badly wrong in some deterministic cases. We argue that deterministic cases do not undermine a counterfactual model of rational deliberation, which is characteristic of CDT. Rather, they force us to distinguish between counterfactuals (...) that are relevant and ones that are irrelevant for the purposes of deliberation. We incorporate this distinction into decision theory to develop ‘Selective Causal Decision Theory’, which delivers the correct recommendations in deterministic cases while respecting the key motivations behind CDT. (shrink)

Multialgebras have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing with several Logics of Formal Inconsistency that cannot be semantically characterized by a single finite matrix. In particular, these LFIs are not algebraizable by the standard tools of abstract algebraic logic. In this paper, the first steps towards a theory of non-deterministic algebraization of logics by swap structures are given. (...) Specifically, a formal study of swap structures for LFIs is developed, by adapting concepts of universal algebra to multialgebras in a suitable way. A decomposition theorem similar to Birkhoff’s representation theorem is obtained for each class of swap structures. Moreover, when applied to the 3-valued algebraizable logics J3 and Ciore, their classes of algebraic models are retrieved, and the swap structures semantics become twist structures semantics. This fact, together with the existence of a functor from the category of Boolean algebras to the category of swap structures for each LFI, suggests that swap structures can be seen as non-deterministic twist structures. This opens new avenues for dealing with non-algebraizable logics by the more general methodology of multialgebraic semantics. (shrink)

Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction process (collapse) is independent of measurement. It occurs when two wavepackets overlap in ordinary space and satisfy a certain criterion, which depends on the phase constants of both wavepackets. Reduction means contraction of the wavepackets to the place of overlap. The measurement apparatus fans out (...) the incoming wavepacket into spatially separated eigenpackets of the chosen observable. When one of these eigenpackets together with a wavepacket located in the apparatus satisfy the criterion, the reduction associates the place of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual. Keywords:. (shrink)

At the heart of the Stoic theory of modality is a strict commitment to bivalence, even for future contingents. A commitment to both future truth and contingency has often been thought paradoxical. This paper argues that the Stoic retreat from necessity is successful. it maintains that the Stoics recognized three distinct senses of necessity and possibility: logical, metaphysical and providential. Logical necessity consists of truths that are knowable a priori. Metaphysical necessity consists of truths that are knowable a posteriori, a (...) world order according to certain metaphysical principles and natures that god crafts within the constraints of matter. Finally, what is providentially necessary is what occurs according to the chain of fate, but only once it is in process or past. -/- The method of the paper is a close reading of Diogenes Laertius 7.75, adducing broad textual evidence along the way, to show that the Stoic theory of modality embraces Philonian possibility, both that which is capable of being true as a matter of logical consistency, and that which is possible according to the bare fitness of the entity. What differentiates the Stoics from Philo is their additional commitment to possibility as opportunity, resisting the collapse of determinism into necessity. (shrink)

Experimental work on free will typically relies on deterministic stimuli to elicit judgments of free will. We call this the Vignette-Judgment model. We outline a problem with research based on this model. It seems that people either fail to respond to the deterministic aspects of vignettes when making judgments or that their understanding of determinism differs from researcher expectations. We provide some empirical evidence for this claim. In the end, we argue that people seem to lack (...) facility with the concept of determinism, which calls into question the validity of experimental work operating under the Vignette-Judgment model. We also argue that alternative experimental paradigms are unlikely to elicit judgments that are philosophically relevant to questions about the metaphysics of free will. (shrink)

Most of the free will debate operates under the assumption that classic determinism and indeterminism are the only metaphysical options available. Through an analysis of Dennett’s view of free will as gradually evolving this article attempts to point to emergentist, interactivist and temporal metaphysical options, which have been left largely unexplored by contemporary theorists. Whereas, Dennett himself holds that “the kind of free will worth wanting” is compatible with classic determinism, I propose that his models of determinism fit poorly with (...) his evolutionary theory and naturalist commitments. In particular, his so-called “intuition pumps” seem to rely on the assumption that reality will have a compositional bottom layer where appearance and reality coincide. I argue that instead of positing this and other “unexplained explainers” we should allow for the heretical possibility that there might not be any absolute bottom, smallest substances or universal laws, but relational interactions all the way down. Through the details of Dennett’s own account of the importance of horizontal transmission in evolution and the causal efficacy of epistemically limited but complex layered “selves,” it is argued that our autonomy is linked to the ability to affect reality by controlling appearances. (shrink)

The impossibility of an indeterministic evolution for standard relativistic quantum field theories, that is, theories in which all fields satisfy the condition that the generators of space-time translation have spectra in the forward light-cone, is demonstrated. The demonstration proceeds by arguing that a relativistically invariant theory must have a stable vacuum and then showing that stability of the vacuum, together with the requirements imposed by relativistic causality, entails deterministic evolution, if all degrees of freedom are standard degrees of freedom.

In this article we study the question of free will from an interdisciplinary angle, drawing on philosophy, neurobiology and physics. We start by reviewing relevant neurobiological findings on the functioning of the brain, notably as presented in (Koch 2009); we assess these against the physics of (in)determinism. These biophysics findings seem to indicate that neuronal processes are not quantum but classical in nature. We conclude from this that there is little support for the existence of an immaterial ‘mind’, capable of (...) ruling over matter independently of the causal past. But what, then, can free will be ? We propose a compatibilist account that resonates well with neurobiology and physics, and that highlights that free will comes in degrees – degrees which vary with the conscious grasp the ‘free’ agent has over his actions. Finally, we analyze the well-known Libet experiment on free will through the lens of our model. We submit this interdisciplinary investigation as a typical case of naturalized philosophy: in our theorizing we privilege assumptions that find evidence in science, but our conceptual work also suggests new avenues for research in a few scientific disciplines. (shrink)

Theories of free will are often measured against how well they capture everyday intuitions about free will. But what are these everyday intuitions, and what theoretical commitments do they express? Empirical methods have delivered mixed messages. In response, some free will theorists have developed error theories to undermine the credentials of countervailing intuitions. These efforts are predicated on the idea that people might misunderstand determinism in any of several ways. This paper sheds light on the comprehension problem. We first discuss (...) recent efforts to explain systematic errors in how people interpret determinism. Then, we present the alarming results of two new preregistered studies exploring three types of comprehension failure: (a) epiphenomenal bypassing, (b) fatalistic bypassing, and (c) indeterministic intrusion. Our findings suggest that misunderstanding runs deeper than others have supposed. This casts doubt on existing models of commonsense thinking about free will. Unless and until researchers properly control for the kinds of misunderstandings we identify, research on free will intuitions cannot shed light on whether ordinary thinking reflects commitments to compatibilism or incompatibilism. (shrink)

The presented study introduces a new theoretical model of collapse for social, cultural, or political systems. Based on the current form of quantum anthropology conceptualized by Heidi Ann Russell, further development of this field is provided. The new theoretical model is called the spiral model of collapses, and is suggested to provide an analytical framework for collapses in social, cultural, and political systems. The main conclusions of this study are: 1) The individual crises in the period (...) before a collapse of social, cultural, and political systems form the trajectory of a conical helix similar to a vortex. 2) The occurrences of crises in the period before a collapse have the shape of the trajectory on the surface of the circular cone with a convex wall narrowing up to its peak. The shape of this cone is based on the Fibonacci sequence coiled into the three-dimensional space. 3) The constant circular movement along the trajectory of crises can occur in exceptional situations in the development of social, cultural, and political systems; however, such a state is always temporary. In such cases, the trajectory of the crisis does not follow the Fibonacci sequence, but the shape of a regular helix. Remaining on the trajectory of a regular helix in the long-term is highly improbable for social, cultural, and political systems. 4) The creation of new potentialities after the final collapse of a system is explained by the conception of topological inversion, when the heretofore embodied part of the energy-information field returns to the global, wave-particle energy-information potential. 5) The global, wave-particle energy-information potential is a source of energy-information for future embodiments in the sense of the future collapses of wave functions. (shrink)

A graph-theoretic account of fibring of logics is developed, capitalizing on the interleaving characteristics of fibring at the linguistic, semantic and proof levels. Fibring of two signatures is seen as a multi-graph (m-graph) where the nodes and the m-edges include the sorts and the constructors of the signatures at hand. Fibring of two models is a multi-graph (m-graph) where the nodes and the m-edges are the values and the operations in the models, respectively. Fibring of two deductive systems is an (...) m-graph whose nodes are language expressions and the m-edges represent the inference rules of the two original systems. The sobriety of the approach is confirmed by proving that all the fibring notions are universal constructions. This graph-theoretic view is general enough to accommodate very different fibrings of propositional based logics encompassing logics with non-deterministic semantics, logics with an algebraic semantics, logics with partial semantics and substructural logics, among others. Soundness and weak completeness are proved to be preserved under very general conditions. Strong completeness is also shown to be preserved under tighter conditions. In this setting, the collapsing problem appearing in several combinations of logic systems can be avoided. (shrink)

Technological determinism, as a position on the nature and effects of technology/technologies can be divided into optimistic and critical forms. The optimistic variety, of which contemporary cyber-utopianism is an instance, holds that the development of technology shapes or at least facilitates ameliorative alterations in society. The critical variety, on the other hand, tends to problematise or condemn the positive narrative of technological impact on human existence. Whilst the optimistic form still retains some academic credibility, especially concerning digital technologies, the critical (...) variety tends to be viewed as reductionist, essentialist and pessimistic. Furthermore, the fact that many of its leading proponents base their critiques on the analysis of industrial technology, reinforces the impression that critical technological determinism is outdated. I argue that focussing on the specific forms of technology analysed by classic technological determinists is to miss the key point of their arguments. Critical determinism warns that with the increasing integration of technology into everyday life, we run the risk of idealising technological organisation and making sociotechnical relations a model for all social relations. Drawing upon Rendueles’s (2017) analysis of the sociophobic tendencies of the online public sphere, I argue for the continuing relevance of so-called ‘Classic’ technological determinism. The danger posed by the ubiquity of the internet on this account is not that it possesses some innate quality that imposes a particular social pattern on humanity, but that the way in which we interact in cyberspace becomes the norm for social relations outside the cybersphere. (shrink)

A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions about objects in a multiplicity of worlds. In this logical framework, the continuum of worlds is treated in analogy to the continuum of time points; both “time” and “world” are considered as mutually independent modes of existence. The theory combines elements of Bohmian mechanics and of Everett’s (...) many-worlds interpretation; it has a clear ontology and a set of precisely defined postulates from where the predictions of standard quantum mechanics can be derived. Probability as given by the Born rule emerges as a consequence of insufficient knowledge of observers about which world it is that they live in. The theory describes a continuum of worlds rather than a single world or a discrete set of worlds, so it is similar in spirit to many-worlds interpretations based on Everett’s approach, without being actually reducible to these. In particular, there is no splitting of worlds, which is a typical feature of Everett-type theories. Altogether, the theory explains (1) the subjective occurrence of probabilities, (2) their quantitative value as given by the Born rule, and (3) the apparently random “collapse of the wavefunction” caused by the measurement, while still being an objectively deterministic theory. (shrink)

Free will is difficult to classify with respect to determinism or indeterminism, and its phenomenology in consciousness often shows both aspects. Initially, it is felt as unlimited and indeterminate will power, with the potentiality of multiple choices. Thereafter, reductive deliberation is led by determinism to the final decision, which realises only one of the potential choices. The reductive deliberation phase tries to find out the best alternative and simultaneously satisfying vague motivations, contextual conditions and personal preferences. The essential sense of (...) free will is the introduction of personal preferences, which allows a higher diversity of reactions to vague motivations. With an oversimplified model of determinism as a chain of events, incompatibilists define “free” as “undetermined” so that determinism becomes incompatible with any free choice between alternatives. In consciousness, free will requires a more complex model of network determinism as well as the consideration of unconsciousness as a causal factor. When “free” defined as “undetermined” is applied to the context of consciousness, it should be reinterpreted as “unconscious of being determined” or not aware of underlying determinism. Lacking information on determinism generates a feeling of “free” in consciousness and, therefore, gives the impression of indeterminism. Lacking information may be induced by an uncertain future without determined events—an unconscious past with biological reactions suddenly emerging from the unconsciousness or an unknown present unable to distinguish determinism of complex events. Therefore, at the level of human consciousness, the experience of free will is associated with apparent indeterminism although it is based on unconscious determinism. The concepts of compatibilism and incompatibilism are only two different aspects of the same phenomenon and correspond to consciousness and unconsciousness. Nevertheless, they can be considered together with a free will concept based on relativity depending on two different reference frames—the first person’s experience frame or the Laplace’s demon frame with knowledge on every molecule of the universe. Only relativity of the free will concept avoids the contradiction between “free” and “unfree” for the same phenomenon and could be a compromise for considering compatibilism and incompatibilism equally. (shrink)

Do laypeople think that moral responsibility is compatible with determinism? Recently, philosophers and psychologists trying to answer this question have found contradictory results: while some experiments reveal people to have compatibilist intuitions, others suggest that people could in fact be incompatibilist. To account for this contradictory answers, Nichols and Knobe (2007) have advanced a ‘performance error model’ according to which people are genuine incompatibilist that are sometimes biased to give compatibilist answers by emotional reactions. To test for this hypothesis, (...) we investigated intuitions about determinism and moral responsibility in patients suffering from behavioural frontotemporal dementia. Patients suffering from bvFTD have impoverished emotional reaction. Thus, the ‘performance error model’ should predict that bvFTD patients will give less compatibilist answers. However, we found that bvFTD patients give answers quite similar to subjects in control group and were mostly compatibilist. Thus, we conclude that the ‘performance error model’ should be abandoned in favour of other available model that best fit our data. (shrink)

We here make preliminary investigations into the model theory of DeMorgan logics. We demonstrate that Łoś's Theorem holds with respect to these logics and make some remarks about standard model-theoretic properties in such contexts. More concretely, as a case study we examine the fate of Cantor's Theorem that the classical theory of dense linear orderings without endpoints is $\aleph_{0}$-categorical, and we show that the taking of ultraproducts commutes with respect to previously established methods of constructing nonclassical structures, namely, (...) Priest's Collapsing Lemma and Dunn's Theorem in 3-Valued Logic. (shrink)

In 'Necessity, Cause and Blame' (London: Duckworth, 1980) Richard Sorabji attempts to develop a notion of moral responsibility which does not get caught on either horn of a well known dilemma. One horn is the argument that if an action was caused then it must have been necessary and therefore could not be one for which the agent is responsible. The other horn is the argument that if the action was not caused then it is inexplicable and random and therefore (...) not something which the agent can be responsible for. Sorabji denies that what is caused is always necessitated. Causes are primarily explanatory rather than necessitating. This established, Sorabji hopes to show that action open to moral scrutiny may be caused without being necessitated and the dilemma collapses. I will argue that this strategy runs into serious difficulties. (shrink)

A probabilistic Chomsky–Schützenberger hierarchy of grammars is introduced and studied, with the aim of understanding the expressive power of generative models. We offer characterizations of the distributions definable at each level of the hierarchy, including probabilistic regular, context-free, (linear) indexed, context-sensitive, and unrestricted grammars, each corresponding to familiar probabilistic machine classes. Special attention is given to distributions on (unary notations for) positive integers. Unlike in the classical case where the "semi-linear" languages all collapse into the regular languages, using analytic (...) tools adapted from the classical setting we show there is no collapse in the probabilistic hierarchy: more distributions become definable at each level. We also address related issues such as closure under probabilistic conditioning. (shrink)

With the increasing degrees A.I.s and machines are applied across different social contexts, the need for implementing ethics in A.I.s is pressing. In this paper, we argue for a pluralist hybrid model for the implementation of moral A.I.s. We first survey current approaches to moral A.I.s and their inherent limitations. Then we propose the pluralist hybrid approach and show how these limitations of moral A.I.s can be partly alleviated by the pluralist hybrid approach. The core ethical decision-making capacity of (...) an A.I. based on the pluralist hybrid approach consists of two systems. The first is a deterministic algorithm system that incorporates different moral rules for making explicit moral decisions. The second is a machine learning system that calculates the value of the variables required by the application of moral principles. The pluralist hybrid system is better than the existing proposals as (i) it better addresses the moral disagreement problem of the top-down approach by including different moral principles, while (ii) it reduces the opacity of ethical decision-making compared with a bottom-up system by implementing explicit moral principles for moral decision making. (shrink)

The standard model of cosmology is acclaimed in physics as accurate, robust, well-tested, our best scientific theory of the cosmos, but it has had serious anomalies for a while, including the Hubble tension, anomalous galaxies, and the completely unexplained nature of dark energy and dark matter. And lurking behind it all is the lack of a unified theory: General Relativity (GR) and quantum mechanics (QM) are inconsistent. Now startling new observations by the James Webb Space Telescope (JWST) in 2022 (...) of the early universe present the strongest challenge yet to the standard model, and whispers have started that this shows there is something wrong with the fundamental theory, General Relativity itself. This would be a crisis for cosmology. But haven’t they tested this theory already, and shown it is correct? How could it turn out wrong at this late stage? Here we compare the standard cosmology with an alternative fundamental theory, that has a strikingly different overall cosmological behavior: a simple cyclic expansion function. It is simple and deterministic. There are only two or three general parameters. The interesting result is that this alternative cosmology: (A) closely matches the expansion observed and modelled through the CDM standard model, now going back to red-shifts of 5-15; and (B) it also predicts unexpected early galaxy formation now being reported by the JWST. The point here is not to try to prove this alternative theory however, but rather show how it compares to the conventional cosmology. This show us clearly how weak the empirical evidence for the standard model really is against a counterfactual fundamental theory. Some results established in science are robust against theory change, but we find the standard cosmological model and the implications drawn from it are not robust at all. (shrink)

We indicate a new way in the solution of the problem of the quantum measurement . In past papers we used the well-known formalism of the density matrix using an algebraic approach in a two states quantum spin system S, considering the particular case of three anticommuting elements. We demonstrated that, during the wave collapse, we have a transition from the standard Clifford algebra, structured in its space and metrics, to the new spatial structure of the Clifford dihedral algebra. (...) This structured geometric transition, which occurs during the interaction of the S system with the macroscopic measurement system M, causes the destruction of the interferential factors. In the present paper we construct a detailed model of the (S+M) interaction evidencing the particular role of the Time Ordering in the (S+M) coupling since we have a time asymmetric interaction . We demonstrate that , during the measurement , the physical circumstance that the fermion creation and annihilation operators of the S system must be destroyed during such interaction has a fundamental role . (shrink)

Compares and contrasts Open Theism with Theological Determinism, Molinism, and Process Theism.

The Fundamental Interrelationships Model, abbreviated as the Interrelationships Model (IRM) is a conceptual framework presented in the form of a diagram. This model aims to cohesively represent and unify a set of fundamental interrelationships found in nature which can be interpreted as the fundamental laws of physics. -/- These fundamental interrelationships encompass a wide range of relationships, including serial-parallel relationships, transition of state, critical point, continuation-discontinuation, convergence-divergence, contraction-expansion, singularity-plurality, commonality-difference, similarity, symmetry-asymmetry, dynamics-stability, order-disorder, limitation-without limitation, hierarchical structure, (...) and cohesiveness. -/- Building upon these fundamental interrelationships, the model is further developed to represent key laws of physics, such as Newton’s three laws of motion, four laws of thermodynamics, Noether’s theorem, Einstein’s space-time relationship, Heisenberg’s uncertainty principle, chaos theory, wave function collapse, and other phenomena in physics including atomic electron transition. -/- Crucially, the Interrelationships Model asserts that these well-established laws of physics are specific expressions of the fundamental interrelationships it represents. Notably, unlike the current theories for a Theory of Everything (ToE) that predominantly focus on lifeless phenomena, the Interrelationships Model can directly represent living entities. Subsequent research suggests that this model has the potential to unify the Big Bang theory with evolutionary theory, marking a significant stride toward addressing the longstanding challenge of a comprehensive Theory of Everything. -/- The presentation of this hypothesis serves as an invitation for further discussion and critique, proposing an alternative perspective to address the overarching issue of a Theory of Everything. (shrink)

In the coming decades in the process of globalization the position of the USA and Europe will weaken, while the role of developing countries will increase. The role of the two largest emerging economies – China and India – will be of special significance. What future will these fast-growing giants face? The demographers agree that pretty soon India will lead the world in population and thus surpass China, while China will encounter serious ageing population problems. But economic and political scenarios (...) of the future are quite different: from resounding success and world leadership to collapse caused by demographic and socio-political troubles. Which of them is more feasible? In the present article I analyze the Chinese and Indian development models separately and comparatively and make a forecast of their perspectives in the 21st century. Such an analysis could be helpful for understanding Russia's ways of development. (shrink)

The Complaint Model is an interpretation of Scanlon’s contractualism which holds that (1) an individual can reasonably reject a distribution of well-being when her complaint against that distribution is larger than any other person’s complaint against any other distribution. The Complaint Model further holds that (2) the size of an individual’s complaint against a distribution is a function of (2a) her absolute level of well-being under that distribution, with the size of her complaint increasing as her absolute level (...) of well-being decreases, and (2b) the size of her loss in well-being under that distribution relative to the level of well-being she could have enjoyed under the distribution most favourable to her, with the size of her complaint increasing as her loss increases. In this paper, I argue that the Complaint Model should be rejected, because the way in which it takes individuals’ losses into account leads to strongly counterintuitive results. In particular, I show that the Complaint Model may sacrifice the well-being associated with the least-well-off, secondleast-well-off, etc. positions for the sake of minimizing the largest complaint. I also argue that revisions to element (1) to allow for the aggregation of complaints must either leave the Complaint Model vulnerable to this objection or lead it to collapse into prioritarianism. The failure of the Complaint Model may lead us to search for an alternative way of taking losses into account. I conclude by arguing that the attractiveness of the Anonymous Pareto principle poses a challenge to any such alternative. (shrink)

The first part of the book offers a hypothetical answer to the following questions: What is intelligent behaviour? What is information? How does the intelligent subject extract energy and information from the external environment? What are the mental states? How do the mental states occur? Despite the immense diversity of disciplines, topics and issues relating to the structure and the dynamics of the nervous system, of human consciousness, of intelligence in a synchronous and evolutionary perspective, two main philosophical and theoretical (...) ideologemes stand out in the neurosciences of today: the computational and the holonomic one. They are presented in the second part of the investigation. The third part is entirely focused on the semiotic approach to the study of intelligence. Particular attention is paid to the issue of the missing link between natural causality and intelligent behaviour, to which it offers a particular reply. The fourth part is itself a summary in the perspective of the conclusions of the previous parts. (shrink)

A model of consciousness and conscious experience is introduced. Starting with a non-Lipschitz Chaotic dynamics of neural activity, we propose that the synaptic transmission between adjacent as well as distant neurons should be regulated in brain dynamics through quantum tunneling. Further, based on various studies of different previous authors, we consider the emergence of very large quantum mechanical system representable by an abstract quantum net entirely based on quantum-like entities having in particular the important feature of expressing self-reference similar (...) to what occurs in consciousness. The properties of such quantum-like mind entities are discussed in detail. A quantum-like model of conscious experience is also discussed. It is shown that such quantum mechanical entities are able to arrange themselves alternatively on the basis of the subject story, memory, and pain-pleasure in response to an external stimulus, thus giving the subject the possibility to response to the stimulus on the basis of his emotion as well as cognitive state. Finally, we discuss the possible connections between the quantum-like model introduced in this paper and the chaotic behaviors often identified experimentally in studies on brain dynamics. Part I of this article contains: Introduction; 1. Non Lipschitz Terminal Dynamics of Single Neuron Activity; and References; 2. Quantum Mechanical Properties of Neuron Dynamics; and 3. A Quantum Model of Consciousness I. (shrink)

A brief reflection on the mind-body problem and its implications for the way we conceive of ourselves and live our lives.

Coherence and correspondence are classical contenders as theories of truth. In this paper we examine them instead as interacting factors in the dynamics of belief across epistemic networks. We construct an agent-based model of network contact in which agents are characterized not in terms of single beliefs but in terms of internal belief suites. Individuals update elements of their belief suites on input from other agents in order both to maximize internal belief coherence and to incorporate ‘trickled in’ elements (...) of truth as correspondence. Results, though often intuitive, prove more complex than in simpler models (Hegselmann & Krause 2002, 2006; Grim, Singer, Reade & Fisher 2015). The optimistic finding is that pressures toward internal coherence can exploit and expand on small elements of truth as correspondence is introduced into epistemic networks. Less optimistic results show that pressures for coherence can also work directly against the incorporation of truth, particularly when coherence is established first and new data is introduced later. (shrink)

Explanations of the genuine openness of the future often appeal to objective indeterminacy. According to the received view, such indeterminacy is indeterminacy of certain future-tensed state of affairs that presently obtain. We shall call this view the weak indeterminate present, to distinguish it from the view we will defend in this paper, which we dub the strong indeterminate present. According to our view, unsettledness of the future is grounded on the present indeterminacy of some present-tensed state of affairs. In order (...) for an indeterminate present-tensed state of affairs to explain the unsettledness of a future-tensed state of affairs, there has to be a connection between the two. We argue that this connection can only be provided if we look at the internal structure of the relevant state of affairs. Finally, we will suggest that the best background theory to explain the connection are the so-called spontaneous collapse models of quantum mechanics. (shrink)

This paper continues and extensive exploration of the QG and TOE resulting from the PF interpretation of QM. Some highlights are an exploration of symmetries of the Standard Model, outlines of testable predictions of implications for QG, that this theory can simultaneously give an account of dark matter and dark energy, probabilities and statevector collapse vs. gravity, applications of the causal interaction tensor Cαβγδ(Fi, Fj). Note the first section mentions qualia but this is not a psychological theory this (...) is an ontic theory. (shrink)

In [1] it is claimed that, based on radiation emission measurements described in [2], a certain “variant” of the Orch OR theory has been refuted. I agree with this claim. However, the significance of this result for Orch OR per se is unclear. After all, the refuted “variant” was never advocated by anyone, and it contradicts the views of Hameroff and Penrose (hereafter: HP) who invented Orch OR [3]. My aim is to get clear on this situation. I argue that (...) it is indeed reasonable to speak of “variants” here. Orch OR is not a complete model of reality but a work in progress. At its core, it claims that wavefunction collapse is a real physical event that has something to do with gravity (“OR”) and that consciousness depends on orchestrated collapses in microtubules (“Orch”). There are many ways one could make these base ideas precise hence many “variants”. Furthermore, the ways that HP aim to make these ideas precise are radical and incomplete. If they don’t work out, Orch OR will need to fall back on another variant. Thus, I believe the significance of [1-2] for Orch OR is that it cuts out a small class of possible variants and leaves behind questions and challenges for the rest, including the variant preferred by HP. (shrink)

In the third and final part of his A Theory of Determinism (TD) Ted Honderich addresses the fundamental question concerning “the consequences of determinism.” The critical question he aims to answer is what follows if determinism is true? This question is, of course, intimately bound up with the problem of free will and, in particular, with the question of whether or not the truth of determinism is compatible or incompatible with the sort of freedom required for moral responsibility. It is (...) Honderich’s aim to provide a solution to “the problem of the consequences of determinism” and a key element of this is his articulation and defence of an alternative response to the implications of determinism that collapses the familiar Compatibilist/Incompatibilist dichotomy. Honderich offers us a third way – the response of “Affirmation” (HFY 125-6). Although his account of Affirmation has application and relevance to issues and features beyond freedom and responsibility, my primary concern in this essay will be to examine Honderich’s theory of “Affirmation” as it concerns the free will problem. (shrink)

The problem with reductionism in biology is not the reduction, but the implicit attitude of determinism that usually accompanies it. Methodological reductionism is supported by deterministic beliefs, but making such a connection is problematic when it is based on an idea of determinism as fixed predictability. Conflating determinism with predictability gives rise to inaccurate models that overlook the dynamic complexity of our world, as well as ignore our epistemic limitations when we try to model it. Furthermore, the assumption (...) of a strictly deterministic framework is unnecessarily hindering to biology. By removing the dogma of determinism, biological methods, including reductive methods, can be expanded to include stochastic models and probabilistic interpretations. Thus, the dogma of reductionism can be saved once its ties with determinism are severed. In this paper, I analyze two problems that have faced molecular biology for the last 50 years—protein folding and cancer. Both cases demonstrate the long influence of reductionism and determinism on molecular biology, as well as how abandoning determinism has opened the door to more probabilistic and unconstrained reductive methods in biology. (shrink)

Scholars working in philosophy of action still struggle with the freedom/determinism dichotomy that stretches back to Hellenist philosophy and the metaphysics that gave rise to it. Although that metaphysics has been repudiated in current philosophy of mind and cognitive science, the dichotomy still haunts these fields. As such, action is understood as distinct from movement, or motion. In early China, under a very different metaphysical paradigm, no such distinction is made. Instead, a notion of self-caused movement, or spontaneity, is elaborated. (...) In this article a general conception of spontaneity from early Daoism is explained, detailing its constituent aspects. Similar notions appeared from time to time in Western philosophy, and these instances are pursued, exploring how their instantiations differed from Daoist spontaneity and why. Based on these approximate examples of spontaneity and on early Daoist spontaneity, new criteria are postulated for a plausible theory of action that dispenses with presuppositions that eventuate in a freedom/determinism dichotomy, and instead the possibility is offered of a general model of action that can be applied smoothly across current philosophical and cognitive scientific subdisciplines. (shrink)

In this paper we discuss the notions of adequacy and truth functionality in quantum logic from the point of view of a non-deterministic semantics. We give a characterization of the degree of non-functionality which is compatible with the propositional structure of quantum theory, showing that having truth-functional connectives, together with some assumptions regarding the relation of logical consequence, commits us to the adequacy of the interpretation sets of these connectives. An advantage of our proof is that it is independent (...) of the number of truth values involved, generalizing previous works. We also show the failure of the adequacy of every Nmatrix that is a model of the non-distributive lattice of quantum propositions. En este trabajo discutimos las nociones de adecuación y veritativo-funcionalidad en la lógica cuántica, desde el punto de vista de una semántica no determinista. Damos una caracterización del grado de no-funcionalidad compatible con la estructura proposicional de la teoría cuántica, mostrando que tener conectivos veritativo-funcionales, junto con algunos presupuestos relativos a la relación de consecuencia lógica, nos compromete con la adecuación de los conjuntos de interpretación de estos conectivos. Un punto ventajoso de nuestra prueba es que se independiza de la cantidad de valores de verdad involucrados, generalizando trabajos previos. Probamos también que falla la adecuación de cualquier Nmatriz que sirva como modelo para el retículo no distributivo de proposiciones cuánticas. (shrink)

The monistic worldview aims at a uniform description of nature based on scientific models. Quantum physical systems are mutually part of the other quantum physical systems. An aperture distributes the subsystems and the wave front in all possible ways. The system only takes one of the possible paths, as measurements show. Conclusion from Bell's theorem: Before the quantum physical measurement, there is no point-like location in the universe where all the information that explains the measurement is available. Distributed information is (...) possible. Movement of the particle and measuring process are deterministic. The oscillation between location uncertainty and momentum uncertainty leads photons to determine their own location at short intervals. The uncertainty principle focuses the systems. The fields of the surrounding matter influence the location of the new formation. The effect of all fields is based on a common mechanism. (shrink)

The meaning of the wave function and its evolution are investigated. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of particles, and the modulus square of the wave function gives the probability density of the particles being in certain locations in space. Next, we show that the linear non-relativistic evolution of the wave function of an isolated system obeys the free Schrödinger equation due to the requirements of spacetime translation invariance and (...) relativistic invariance. Thirdly, we argue that the random discontinuous motion of particles may lead to a stochastic, nonlinear collapse evolution of the wave function. A discrete model of energy-conserved wavefunction collapse is proposed and shown consistent with existing experiments and our macroscopic experience. Besides, we also give a critical analysis of the de Broglie-Bohm theory, the many-worlds interpretation and other dynamical collapse theories, and briefly discuss the issues of unifying quantum mechanics and relativity. (shrink)

In their article 'Causes and Explanations: A Structural-Model Approach. Part I: Causes', Joseph Halpern and Judea Pearl draw upon structural equation models to develop an attractive analysis of 'actual cause'. Their analysis is designed for the case of deterministic causation. I show that their account can be naturally extended to provide an elegant treatment of probabilistic causation.

In this paper, I investigate whether we can use a world-involving framework to model the epistemic states of non-ideal agents. The standard possible-world framework falters in this respect because of a commitment to logical omniscience. A familiar attempt to overcome this problem centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where “anything goes” in modal space, it is easy to model extremely non-ideal (...) agents that are incapable of performing even the most elementary logical deductions. A much harder, and considerably less investigated challenge is to ensure that the resulting modal space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out subtly impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out blatantly impossible worlds that verify obvious logical falsehoods. To model moderately ideal agents, I argue, the job is to construct a modal space that contains only possible and non-trivially impossible worlds where it is not the case that “anything goes”. But I prove that it is impossible to develop an impossible-world framework that can do this job and that satisfies certain standard conditions. Effectively, I show that attempts to model moderately ideal agents in a world-involving framework collapse to modeling either logical omniscient agents, or extremely non-ideal agents. (shrink)