The material world is determined and its boundaries are established on the basis of fundamental physical laws. It turns out that the non-material world is not empty. In this world the substance has been discovered that looks like a consciousness. Consciousness has the ability to interact with matter and determine the state of matter within the limits determined by the Heisenberg uncertainty relations. It is shown that elementary particles have something that can be called as elementary consciousness. More complicated (...) consciousnesses determine the behavior of animals and humans, in particular. To explain the diversity of consciousnesses in terms of the level of development, the hypothesis of the fusion of consciousnesses is proposed. The hypothesis leads to an explanation of the possible existence of that is commonly called God. Within the framework of the hypothesis, explanations of testimonies of clinical death survivors are given. Possible goals of the existence of man and God are determined. (shrink)

Diese Schrift enthält eine Reihe von sieben Artikeln, in der es um die Beziehung der Wissenschaften zu aufgeklärten, liberalen Formen religiöser Vorstellungen geht. Im Gegensatz zu verbreiteten Ansichten zumal des vorigen Jahrhunderts führt die moderne Naturwissenschaft zu einer zwar weitgehenden, aber prinzipiell nicht vollständigen Erklärung der Wirklichkeit. Sie kann die Rätselhaftigkeit der Welt für uns Menschen nicht aufheben; die Grundfähigkeiten des menschlichen Denkens sind schließlich nicht nur Gegenstand der Wissenschaft, sondern auch Voraussetzungen jeder wissenschaftlichen Tätigkeit. Auf der „meta-theoretischen“, nämlich der (...) philosophischen, kulturellen und religiösen Ebene bleibt die Welt mehrdeutig; wir dürfen und können wählen. Nach meiner Ansicht sprechen dabei Weisheit und Lebenskunst für eine pro-religiöse Einstellung; verbindlich kann und soll sie aber nicht sein. Die Artikel folgen dieser Gedankenspur. Sie sind voneinander unabhängig entstanden, sollen auch unabhängig lesbar sein und sind dazu als Volltext einbezogen. Etwas an Wiederholungen in der Reihe ist so nicht zu vermeiden, und dafür bitte ich um Nachsicht. Am Beginn steht eine kurze Antwort des Autors zur Frage „Was ist der Mensch?“, welche die Berlin-Brandenburgische Akademie der Wissenschaften etwa achtzig Personen gestellt hat. Es folgt ein Artikel zur biologischen Entstehung der höheren geistigen Fähigkeiten unserer Spezies „Mensch“, insbesondere der kognitionsgestützten Empathie. Zentraler Aspekt ist in den weiteren Überlegungen das menschliche Bewusstsein; es gibt prinzipielle, erkenntnistheoretisch robuste Gründe gegen die Möglichkeit einer vollständigen naturwissenschaftlichen Erklärung. Schon der geniale mittelalterliche Theologe Meister Eckhart hat den Urgrund des menschlichen Bewusstseins als göttlich angesehen. Unter den modernen Naturwissenschaftlern gehe ich exemplarisch auf Wolfgang Pauli ein, der neben Physik und Logik besonders die psychischen Voraussetzungen wissenschaftlicher Entdeckungen betont. Im Bezug auf Religion zeigte er Sympathie für östliche Gedankenwelten, liebte Schopenhauer, der den Buddhismus für westliche Denker wieder entdeckt hatte. Sodann erkläre ich meine Gründe für pro-religiösen „metaphysischen Optimismus“ – das göttliche Heil ist für Alle da - und das nicht nur im Kontext des Christentums. Nach diesem mehr persönlichen Artikel (ohne Zitate!) schließe ich mit einer systematischen Analyse von Aspekten moderner Biologie, die verschiedene, sowohl agnostische wie auch pro-religiöse Deutungen ermöglichen, und argumentiere für Offenheit der Erörterung. -/- The basic issue of this book on “Science, the enigma of consciousness, and pro-religious ideas” is the relation of modern science that encompasses, among its topics, its own intrinsic limitations, to enlightened, liberal versions of religion. The relation allows for more than one logically consistent interpretation on the “metatheoretical“, that is on the philosophical and cultural level. This includes religious as well as agnostic views. Choices and preferences are mainly a matter of wisdom and art of living, and not just of knowledge, and this may lead us towards a pro-religious option. -/- . (shrink)

The research has three objectives: 1) to study the concept of Heisenberg’s uncertainty principle, 2) to study the concept of reality and knowledge in Buddhist philosophy, and 3) to analyze the concept of Heisenberg’s uncertainty principle in Buddhist philosophical perspective. This is documentary research. In this research, it was found that Heisenberg's uncertainty principle refers to the experiment of thought while studying physical reality on smaller particles than atoms where at the present no theory of Physics can (...) clearly explain such properties. In this respect, the mentioned principle is utilized to predict the pairs of a certain attribute of physics, position, and momentum, for instance. The accuracy of position, however, cannot be precisely yielded in advance by such a principle. In other words, it is impossible to measure the position and momentum of a quantum particle at the same time. In the study of the ultimate reality on the matter in the Buddhist philosophy, it showed that corporeality in nature is conditioned by cause and effect and thereby falling under the three common characteristics: 1) impermanence, 2) state of suffering, and 3) state of non-substantiality. In the study of Heisenberg’s uncertainty principle in the Buddhist philosophical perspective, this research was found that the processes in acquiring certain knowledge of Heisenberg and Buddhist philosophy are by one another in the sense that such knowledge is methodologically acquired through experience, rationality, and intuition because both see the Reality in the same manners, that is, the physical reality is viewed by Heisenberg as the thing that goes under changing state of wave-particle all the times, and the matter is seen by Buddhist philosophy as the impermanence and change depending upon its factors involved and thereby is not-self. However, in the different aspect, on the one hand, Buddhist philosophy utilizes the knowledge on the matter to develop the morality and ethics by which the cessation of suffering could be respectively made, but on the other hand, Heisenberg somehow applies the certain knowledge on physical objects into quantum technology to accommodate the physical comfortability in living life. Suggestions in the application of knowledge gained from this research into benefit were that while Buddhist philosophy can make use of Heisenberg’s uncertainty principle to provide certain help at the time of explanation of three common characteristics being done through the scientific method, science also can utilize knowledge gained from Buddhist philosophy to expand the framework of scientific knowledge which is aimed at studying only the physical objects to be able to study the mental objects through the integration of three epistemological methods as well. (shrink)

The research has three objectives: 1) to study the concept of Heisenberg’s uncertainty principle, 2) to study the concept of reality and knowledge in Buddhist philosophy, and 3) to analyze the concept of Heisenberg’s uncertainty principle in Buddhist philosophical perspective. This is documentary research. In this research, it was found that Heisenberg's uncertainty principle refers to the experiment of thought while studying physical reality on smaller particles than atoms where at the present no theory of Physics can (...) clearly explain such properties. In this respect, the mentioned principle is utilized to predict the pairs of a certain attribute of physics, position, and momentum, for instance. The accuracy of position, however, cannot be precisely yielded in advance by such a principle. In other words, it is impossible to measure the position and momentum of a quantum particle at the same time. In the study of the ultimate reality on the matter in the Buddhist philosophy, it showed that corporeality in nature is conditioned by cause and effect and thereby falling under the three common characteristics: 1) impermanence, 2) state of suffering, and 3) state of non-substantiality. In the study of Heisenberg’s uncertainty principle in the Buddhist philosophical perspective, this research was found that the processes in acquiring certain knowledge of Heisenberg and Buddhist philosophy are by one another in the sense that such knowledge is methodologically acquired through experience, rationality, and intuition because both see the Reality in the same manners, that is, the physical reality is viewed by Heisenberg as the thing that goes under changing state of wave-particle all the times, and the matter is seen by Buddhist philosophy as the impermanence and change depending upon its factors involved and thereby is not-self. However, in the different aspect, on the one hand, Buddhist philosophy utilizes the knowledge on the matter to develop the morality and ethics by which the cessation of suffering could be respectively made, but on the other hand, Heisenberg somehow applies the certain knowledge on physical objects into quantum technology to accommodate the physical comfortability in living life. Suggestions in the application of knowledge gained from this research into benefit were that while Buddhist philosophy can make use of Heisenberg’s uncertainty principle to provide certain help at the time of explanation of three common characteristics being done through the scientific method, science also can utilize knowledge gained from Buddhist philosophy to expand the framework of scientific knowledge which is aimed at studying only the physical objects to be able to study the mental objects through the integration of three epistemological methods as well. (shrink)

In this paper we introduce the nascent literature on Moral Uncertainty Theory and explore its application to the criminal law. Moral Uncertainty Theory seeks to address the question of what we ought to do when we are uncertain about what to do because we are torn between rival moral theories. For instance, we may have some credence in one theory that tells us to do A but also in another that tells us to do B. We examine how (...) we might decide whether or not to criminalize some conduct when we are unsure as to whether or not the conduct is morally permitted, and whether or not it is permissible to criminalize the conduct. We also look at how we might make sentencing decisions under moral uncertainty. We argue that Moral Uncertainty Theory can be an illuminating way to address these questions, but find that doing so is a lot more complicated than applying Moral Uncertainty Theory to individual conduct. (shrink)

Why is space 3-dimensional? The fi rst answer to this question, entirely based on Physics, was given by Ehrenfest, in 1917, who showed that the stability requirement for n-dimensional two-body planetary system very strongly constrains space dimensionality, favouring 3-d. This kind of approach will be generically called "stability postulate" throughout this paper and was shown by Tangherlini, in 1963, to be still valid in the framework of general relativity as well as for quantum mechanical hydrogen atom, giving the same constraint (...) for space{dimensionality. In the present work, before criticizing this methodology, a brief discussion has been introduced, aimed at stressing and clarifying some general physical aspects of the problem of how to determine the number of space dimensions. Then, the epistemological consequences of Ehrenfest's methodology are critically reviewed. An alternative procedure to get at the proper number of dimensions, in which the stability postulate - and the implicit singularities in three-dimensional physics - are not an essential part of the argument, is proposed. In this way, the main epistemological problems contained in Ehrenfest's original idea are avoided. The alternative methodology proposed in this paper is realized by obtaining and discussing the n-dimensional quantum theory as expressed in Planck's law, de Broglie relation and the Heisenberg uncertainty relation. As a consequence, it is possible to propose an experiment, based on thermal neutron di raction by crystals, to directly measure space dimensionality. Finally the distinguished role of Maxwell's electromagnetic theory in the determination of space dimensionality is stressed. (shrink)

This paper presents a novel argument for compatibilism, the view that free will and determinism are compatible. Drawing on principles from quantum mechanics, specifically the Heisenberg uncertainty principle and the concept of superposition, the paper proposes an analogy between the behavior of particles at the quantum level and the choices made by free agents. It argues that just as particles exist in a field of possibilities until observed, actions exist in a field of possibilities until a decision is made. (...) The deterministic aspect comes from the natural laws that govern the behavior of particles (and, by extension, our actions), while the free will aspect is represented by the field of possibilities from which we can choose. The paper further explores the implications of this perspective for our understanding of moral responsibility and the nature of reality. It concludes by suggesting that our collective observations and choices contribute to the creation of our shared reality, underscoring the interconnectedness of all beings. (shrink)

After introducing the problems of moral uncertainty and intertheoretic comparability, I will show that moral realism and moral constructivism involve opposite explanatory relationships between theories and particular judgements. Based on these explanatory relationships, I will make an analogy between moral constructivism and Humeanism about natural laws one hand, and moral realism and anti-Humeanism about natural laws on the other. This analogy will allow me to show why intertheoretic comparisons of choice-worthiness are in principle possible according to moral constructivism, but (...) not according to moral realism. (shrink)

The use of evidence to resolve uncertainties is key to many endeavours, most conspicuously science and law. Despite this, the logic of uncertainty is seldom taught explicitly, and often seems misunderstood. Traditional educational practice even fails to encourage students to identify uncertainty when they express knowledge, though mark schemes that reward the identification of reliable and uncertain responses have long been shown to encourage more insightful understanding. In our information-rich society the ability to identify uncertainty is often (...) more important than the possession of knowledge itself. In both science and law there are fundamentally different kinds of uncertainty at issue. There is uncertainty whether a particular hypothesis is correct, and there is uncertainty about observable data that may be generated if a particular hypothesis is correct. Both are expressed in terms of probabilities. Each has its own domain of application and its own logic, but the inter-relationship is complex and sometimes misunderstood. Hypothesis probabilities are always open to error through possible failure to take account of realistic alternatives, while the proper inferences that can be drawn from data probabilities (often in the context of significance testing) are quite limited and easily over-interpreted. When considering these two kinds of probability in a court of law it is possible to interpret the phrase 'reasonable doubt' in different ways. It can be seen as addressing data uncertainty: whether such incriminating evidence might with reasonable probability arise to confront an innocent person. Or (the more conventional view) it can be seen as some sort of threshold level on the probability that the defendant is guilty (a hypothesis probability). Each typically involves elements of subjective judgement, but fewer issues and uncertainties arise when considering the data probability and it is argued that this is often the more critical and proper issue for a jury to address. This has particular repercussions for cases involving identification of a suspect through trawl of a DNA or other database. (shrink)

Gregor Schiemann führt allgemeinverständlich in das Denken dieses Physikers ein. Thema sind die Erfahrungen und Überlegungen, die Heisenberg zu seinen theoretischen Erkenntnissen geführt haben, die wesentlichen Inhalte dieser Erkenntnisse sowie die Konsequenzen, die er daraus für die Geschichte der Physik und das wissenschaftliche Weltbild gezogen hat. Heisenbergs Vorstellungswelt durchzieht durch ein Spannungsverhältnis, das heute noch das Denken vieler Wissenschaftlerinnen und Wissenschaftler bewegt. Er ist um ein umfassendes Verständnis der Naturprozesse bemüht, zugleich aber von der Berechenbarkeit und Beherrschbarkeit von Phänomenen (...) auch dann schon fasziniert, wenn die zugrunde liegenden Prozesse erst teilweise verstanden sind. Aus der Geschichte der Physik zieht er die wirkungsreiche Lehre, daß sich die naturwissenschaftliche Erkenntnis nicht kontinuierlich, sondern sprunghaft in Form von Revolutionen entwickelt. Die Reichweite des physikalischen Wissens begrenzt er in einer Schichtentheorie der Welt, nach der die komplexen Phänomene des Lebens nicht allein durch die Wechselwirkungen zwischen ihren Bestandteilen erklärt werden können. Der zunehmenden Technisierung der Welt steht Heisenberg kritisch gegenüber. Seiner Zeit weit voraus, glaubt er, daß die Technisierung der Welt eine epochal neue Stufe erreicht habe, in der der Mensch „nur noch sich selbst“ gegenüberstehe. (shrink)

“Applying the Heisenberg Uncertainty Principle to 21st Century Art” was delivered to the 2009 Congress of the International Association of Art Critics (AICA) in Dublin as a guide to critical thinking through a paradigm shift. This new paper uncovers a new critical theory in the form of a formula that has been successfully applied to a universal appraisal of arts across all boundaries, whether they be gender, discipline or culture. The configuration predicted by Pauli as arising from under the (...) collapsed quantum wave is sourced in an ancient icon: the hieros gamos. As her functional role as newspaper critic shifted to a more esoteric passage as performance artist/curator/blogger, the author spent 14 years theorizing; and another 14 years applying a new critical theory to contemporary art. Her (R)evolution series for the Huffington Post places the containment of the hieros gamos at the forefront of contemporary art practice. The goal is the embodiment of Jean Gebser’s 360-degree aperspectival awareness, whereas the shadow is contacted and absorbed into the very body of art. This paper will reveal the strategy for determining holistic art forms containing the 21st century icon that Pauli understood would arise from under the collapsed quantum wave. (shrink)

A number of the men who would become the 9/11 hijackers were stopped for minor traffic violations. They were pulled over by police officers for speeding or caught by random inspection without a driver’s license. For United States government commissions and the press, these brushes with the law were missed opportunities. For some police officers though, they were of personal and professional significance. These officers replayed the incidents of contact with the 19 men, which lay bare the uncertainty of (...) every encounter, whether a traffic stop, or with someone taking photos of a landmark. Representatives from law enforcement began to design policies to include local police in national intelligence, with the idea of capitalizing on what patrol officers already do in dealing with the general public. Several initiatives were launched, among these, the Suspicious Activity Reporting Initiative. Routine reporting of suspicious activity was developed into steps for gathering, assessing and sharing terrorism-related information with a larger law enforcement and intelligence network. Through empirical analysis of counterterrorism efforts and recent scholarship on it, this chapter discusses prevention, preemption, and anticipation as three technologies of security, focusing on how each deals with uncertainty. The Suspicious Activity Reporting Initiative, this analysis suggests, is an anticipatory technology which constitutes police officers and intelligence analysts as subjects who work in a mode of uncertainty. (shrink)

Recent years saw the rise of an interest in the roles and significance of thought experiments in different areas of human thinking. Heisenberg's gamma ray microscope is no doubt one of the most famous examples of a thought experiment in physics. Nevertheless, this particular thought experiment has not received much detailed attention in the philosophical literature on thought experiments up to date, maybe because of its often claimed inadequacies. In this paper, I try to do two things: to provide an (...) interesting interpretation of the roles played by Heisenberg's gamma ray microscope in interpreting quantum mechanics – partly based on Thomas Kuhn’s views on the function of thought experiments – and to contribute to the ongoing discussions on the roles and significance of thought experiments in physics. (shrink)

The AGI alignment problem has a bimodal distribution of outcomes with most outcomes clustering around the poles of total success and existential, catastrophic failure. Consequently, attempts to solve AGI alignment should, all else equal, prefer false negatives (ignoring research programs that would have been successful) to false positives (pursuing research programs that will unexpectedly fail). Thus, we propose adopting a policy of responding to points of philosophical and practical uncertainty associated with the alignment problem by limiting and choosing necessary (...) assumptions to reduce the risk of false positives. Herein we explore in detail two relevant points of uncertainty that AGI alignment research hinges on---meta-ethical uncertainty and uncertainty about mental phenomena---and show how to reduce false positives in response to them. (shrink)

Quantum theory brought an irreducible lawlessness in physics. This is accompanied by lack of specification of state of a system. We can not measure states even though they ever existed. We can measure only transition from one state into another. We deduce this lack of determination of state mathematically, and thus provide formalism for maximum precision of determination of mixed states. However, the results thus obtained show consistency with Heisenberg's uncertainty relations.

One of the explanations for the Great Crisis of 2007-2008 was that financial authorities should have issued stricter regulations to prevent the housing bubble. However, according to Alan Greenspan, President of the Federal Reserve System (FED) from 1987 to 2006, this is to judge with hindsight. No one can guess when a “bubble” begins, nor when it ends; they happen because of the “irrational exuberance” in investors’ behavior, which causes boom and bust cycles. Regulators are not in a better situation (...) for assessing risks, though: since market participants supposedly know their own risks better than the regulator (a kind of informational asymmetry), an intervention (except to ensure law-enforcement) would imply unjustified paternalism. However, a regulator does not have to be conceived as a paternalistic authority. We sketch an objection to Greenspan's argument, arguing that crises don’t require a defective reasoning such as the “irrational exuberance” – our usual bounded rationality might be enough to provide the kind of “self-fulfilling prophecy” observed in the rise and fall of bubble assets value. Given the possibility of grave externalities, authorities are justified in adopting measures to ensure investors behave in a prudent way, even if they supposedly know better their own risks. (shrink)

A simple solution to the problem of time is proposed by postulating that if the Universe is time-like, stationary, and bounded then it could be divided into static temporal gradations or contours. Hence, an energy diffusion flux (EDF) equation was established from which the Planck and the Hubble times have been derived. It is then found that time is unimportant after applying Gauss's Law on EDF when looking for a characteristic length of the Universe א. An uncertainty rule was (...) also found that may limit our simultaneous information between the scope of looking into space and the masses that it comprises. The paper concludes that if the Universe was in a stationary state and bounded, then, it did not begin to exist when compared to a vast and, probably, timeless Background. It appears to begin to exist because the information is largely mediated by optics. Thus, time is more epistemological in nature rather than ontological because of the limit that light imposes against instantaneous access to information. For this reason, the beginninglessness of the Universe should not preclude one from saying that the Universe does have a cause. (shrink)

Analysis of the laws which form, direct universe and of the interacting elements in the interactions emerging by these laws. Forming the theoretical, philosophical infrastructure of the some physical concepts and phenomena such as kinetic energy, uncertainty, length contraction, relative energy transformations, gravity, time and light speed to understand universe better manner as well as possible. Almost any physical subject takes us easily to the same point by visiting the other subjects because of the creation type of matter as (...) there is no alternative. Every mathematical equation is a production of a thinking; so it does not have to be right always as it may has different meanings for different minds and because of wrong thinking, assembly elements even if it may has a certain information sometimes or usually. If our portion is, our portion is as we took some pickaxes and shovels, starting for science mining as the below to understand universe better manner, if it is possible especially by strong evidences by thinking first as simple as possible. Only one pencil and one paper are enough. At this situation, the biggest problem is to be one of them exists and the other does not of them. (shrink)

The recent progression in AI, nanomedicine and robotics have increased concerns about ethics, policy and law. The increasing complexity and hybrid nature of AI and nanotechnologies impact the functionality of “law in action” which can lead to legal uncertainty and ultimately to a public distrust. There is an immediate need of collaboration between Central Asian biomedical scientists, AI engineers and academic lawyers for the harmonization of AI, nanomedicines and robotics in Central Asian legal system.

We show how removing faith-based beliefs in current philosophies of classical and constructive mathematics admits formal, evidence-based, definitions of constructive mathematics; of a constructively well-defined logic of a formal mathematical language; and of a constructively well-defined model of such a language. -/- We argue that, from an evidence-based perspective, classical approaches which follow Hilbert's formal definitions of quantification can be labelled `theistic'; whilst constructive approaches based on Brouwer's philosophy of Intuitionism can be labelled `atheistic'. -/- We then adopt what may (...) be labelled a finitary, evidence-based, `agnostic' perspective and argue that Brouwerian atheism is merely a restricted perspective within the finitary agnostic perspective, whilst Hilbertian theism contradicts the finitary agnostic perspective. -/- We then consider the argument that Tarski's classic definitions permit an intelligence---whether human or mechanistic---to admit finitary, evidence-based, definitions of the satisfaction and truth of the atomic formulas of the first-order Peano Arithmetic PA over the domain N of the natural numbers in two, hitherto unsuspected and essentially different, ways. -/- We show that the two definitions correspond to two distinctly different---not necessarily evidence-based but complementary---assignments of satisfaction and truth to the compound formulas of PA over N. -/- We further show that the PA axioms are true over N, and that the PA rules of inference preserve truth over N, under both the complementary interpretations; and conclude some unsuspected constructive consequences of such complementarity for the foundations of mathematics, logic, philosophy, and the physical sciences. -/- . (shrink)

Published on Daily Philosophy 2021-10-18 Why do we have a criminal justice system? What could possibly justify the state punishing its citizens? Philosophers, scholars of law, politicians and others have proposed different justifications, one of them being retributivism: the view that we ought to give offenders the suffering that they deserve for harming others. However, intentionally harming other people and making them suffer is serious business. If we are to do this in the name of what’s right and good, we (...) better be very certain that what we do really is right and good. The so-called Epistemic Argument Against Retributivism calls this certainty into question. (shrink)

This paper offers a solution to the problem of time by proposing that if the universe is time-like, stationary, and bounded, then it can be divided into static temporal gradations or contours. This led to the establishment of an energy diffusion flux (EDF) equation from which the Planck and Hubble times were derived. It was found that time becomes unimportant after applying Gauss's Law on EDF when searching for the characteristic length of the universe א. Additionally, an uncertainty rule (...) that may limit our simultaneous knowledge about the scope of space and the masses it contains was discovered. The paper concludes that if the universe is stationary and bounded, then it did not have a beginning compared to a vast, probably timeless background. Its appearance of having a beginning is because the information is largely conveyed through optics. (shrink)

Social scientists have paid insufficient attention to the role of law in constituting the economic institutions of capitalism. Part of this neglect emanates from inadequate conceptions of the nature of law itself. Spontaneous conceptions of law and property rights that downplay the role of the state are criticized here, because they typically assume relatively small numbers of agents and underplay the complexity and uncertainty in developed capitalist systems. In developed capitalist economies, law is sustained through interaction between private agents, (...) courts and the legislative apparatus. Law is also a key institution for overcoming contracting uncertainties. It is furthermore a part of the power structure of society, and a major means by which power is exercised. This argument is illustrated by considering institutions such as property and the firm. Complex systems of law have played a crucial role in capitalist development and are also vital for developing economies. (shrink)

Legal theorists seek to persuade other jurists of certain theories: Textualism or purposivism; formalism or realism; natural law theory or positivism; prison reform or abolition; universal or particular human rights? Despite voluminous literature about these debates, tremendous uncertainty remains about which views experts endorse. This Article presents the first-ever empirical study of American law professors about legal theory questions. A novel dataset of over six hundred law professors reveals expert consensus and dissensus about dozens of longstanding legal theory debates. (...) -/- Law professors also debate questions about the nature of the legal academy. Descriptively, which subjects (e.g. constitutional law) and methods (e.g. law & economics) are most central within the legal academy today? And prescriptively, should today’s legal academy prioritize additional areas (e.g. legislation) or methods (e.g. critical race theory)? There is great interest in these questions but no empirical dataset of experts’ views; this results in uncertainty about which views experts endorse. This Article’s empirical study also clarifies these questions, documenting law professors’ evaluation of over one-hundred areas of law. -/- The legal theory and legal academy findings support implications for legal scholarship, education, and practice. Clearly, debates about law and the legal academy’s evolution should not be settled by a survey. Nevertheless, insofar as law professors are experts about these issues, it is instructive to discover and carefully examine what views those experts hold, so as to help determine which views are most likely to be true and how the legal academy ought to develop. (shrink)

I have read many recent discussions of the limits of computation and the universe as computer, hoping to find some comments on the amazing work of polymath physicist and decision theorist David Wolpert but have not found a single citation and so I present this very brief summary. Wolpert proved some stunning impossibility or incompleteness theorems (1992 to 2008-see arxiv.org) on the limits to inference (computation) that are so general they are independent of the device doing the computation, and even (...) independent of the laws of physics, so they apply across computers, physics, and human behavior. They make use of Cantor's diagonalization, the liar paradox and worldlines to provide what may be the ultimate theorem in Turing Machine Theory, and seemingly provide insights into impossibility,incompleteness, the limits of computation,and the universe as computer, in all possible universes and all beings or mechanisms, generating, among other things,a non-quantum mechanical uncertainty principle and a proof of monotheism. (shrink)

This review-essay considers the book by Moshe Halbertal, The Birth of Doubt: Confronting Uncertainty in Early Rabbinic Literature (Brown, 2020), and highlights certain pragmatist trajectories in the book and in its scholarly object - early rabbinic law. Inter alia, the middle rabbinic path between realism and nominalism is discussed.

The precautionary principle in public decision making concerns situations where following an assessment of the available scientific information, there are reasonable grounds for concern for the possibility of adverse effects on the environment or human health, but scientific uncertainty persists. In such cases provisional risk management measures may be adopted, without having to wait until the reality and seriousness of those adverse effects become fully apparent. This is the definition of the precautionary principle as operationalized under EU law. The (...) precautionary principle is a deliberative principle. Its application involves deliberation on a range of normative dimensions which need to be taken into account while making the principle operational in the public policy context. Under EU law, any risk management measures to be adopted while implementing the precautionary principle, have to be proportionate to ensure the chosen high level of protection in the European Community. This articlewill illustrate the established practice concerning the release of genetically modified organisms into the environment and how the principle is implemented under hard law. The article also provides an outlook on what this may imply for the relative new case of nanotechnology and the use of precautionary principle within the context of soft law (use of codes of conduct). (shrink)

I have read many recent discussions of the limits of computation and the universe as computer, hoping to find some comments on the amazing work of polymath physicist and decision theorist David Wolpert but have not found a single citation and so I present this very brief summary. Wolpert proved some stunning impossibility or incompleteness theorems (1992 to 2008-see arxiv dot org) on the limits to inference (computation) that are so general they are independent of the device doing the computation, (...) and even independent of the laws of physics, so they apply across computers, physics, and human behavior. They make use of Cantor's diagonalization, the liar paradox and worldlines to provide what may be the ultimate theorem in Turing Machine Theory, and seemingly provide insights into impossibility, incompleteness, the limits of computation, and the universe as computer, in all possible universes and all beings or mechanisms, generating, among other things, a non- quantum mechanical uncertainty principle and a proof of monotheism. There are obvious connections to the classic work of Chaitin, Solomonoff, Komolgarov and Wittgenstein and to the notion that no program (and thus no device) can generate a sequence (or device) with greater complexity than it possesses. One might say this body of work implies atheism since there cannot be any entity more complex than the physical universe and from the Wittgensteinian viewpoint, ‘more complex’ is meaningless (has no conditions of satisfaction, i.e., truth-maker or test). Even a ‘God’ (i.e., a ‘device’with limitless time/space and energy) cannot determine whether a given ‘number’ is ‘random’, nor find a certain way to show that a given ‘formula’, ‘theorem’ or ‘sentence’ or ‘device’ (all these being complex language games) is part of a particular ‘system’. -/- Those wishing a comprehensive up to date framework for human behavior from the modern two systems view may consult my book ‘The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle’ 2nd ed (2019). Those interested in more of my writings may see ‘Talking Monkeys--Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet--Articles and Reviews 2006-2019 2nd ed (2019) and Suicidal Utopian Delusions in the 21st Century 4th ed (2019) . (shrink)

The state has always authoritatively used criminal law to give effect to its policy of condemning acts either antisocial or unacceptable to the conscience of the law and society. The existence of criminal law is well justified on grounds of ‘social welfare’ or “reinforcement of those values most basic to proper social functioning”. This initiates or sustains the process of criminalization. The relativity of ‘social welfare’ makes law ‘dynamic’ as well as ‘varying’, vis-à-vis its ambit and scope. Current scholarship is (...) critical of what is referred to as the trend of overcriminalization or rapid increase in criminalizing of acts, as leading to ‘uncertainty’ in criminal law. The rationale for such a critique is that there are activities that need not be labeled as offences if they do not possess the potential to cause damage that criminal law seeks to protect. In light of the overcriminalization critique, this paper examines the criminalization of certain offences labeled as public welfare offences. (shrink)

The second law of thermodynamics is traditionally interpreted as a coarse-grained result of classical mechanics. Recently its relation with quantum mechanical processes such as decoherence and measurement has been revealed in literature. In this paper we will formulate the second law and the associated time irreversibility following Everett’s idea: systems entangled with an object getting to know the branch in which they live. Accounting for this self-locating knowledge, we get two forms of entropy: objective entropy measuring the uncertainty of (...) the state of the object alone, and subjective entropy measuring the information carried by the self-locating knowledge. By showing that the summation of the two forms of entropy is a conserved and perspective-free quantity, we interpret the second law as a statement of irreversibility in knowledge acquisition. This essentially derives the thermodynamic arrow of time from the subjective arrow of time, and provides a unified explanation for varieties of the second law, as well as the past hypothesis. (shrink)

There is an old and powerful argument for the claim that divine foreknowledge is incompatible with the freedom to do otherwise. A recent response to this argument, sometimes called the “dependence response,” centers around the claim that God’s relevant past beliefs depend on the relevant agent’s current or future behavior in a certain way. This paper offers a new argument for the dependence response, one that revolves around different cases of time travel. Somewhat serendipitously, the argument also paves the way (...) for a new reply to a compelling objection to the dependence response, the challenge from prepunishment. But perhaps not so serendipitously, the argument also renders the dependence response incompatible with certain views of providence. (shrink)

Suppose Molinism is true and God placed Adam in the garden because God knew Adam would freely eat of the fruit. Suppose further that, had it not been true that Adam would freely eat of the fruit, were he placed in the garden, God would have placed someone else there instead. When Adam freely eats of the fruit, is he free to do otherwise? This paper argues that there is a strong case for both a positive and a negative answer. (...) Assuming such cases are possible under Molinism, we are left with a puzzling question: if Molinism is true, what can you do? (shrink)

Let (leeway) incompatibilism be the thesis that causal determinism is incompatible with the freedom to do otherwise. Several prominent authors have claimed that incompatibilism alone can capture, or at least best captures, the intuitive appeal behind Jorge Luis Borges's famous “Garden of Forking Paths” metaphor. The thought, briefly, is this: the “single path” leading up to one's present decision represents the past; the forking paths that one must decide between represent those possible futures consistent with the past and the laws (...) of nature. But if determinism is true, there is only one possible future consistent with the past and the laws and, hence, only one path to choose from. That is, if determinism is true, then we are not free to do otherwise. In this paper, I argue that this understanding of the Garden of Forking Paths faces a number of problems and ought to be rejected even by incompatibilists. I then present an alternative understanding that not only avoids these problems but still supports incompatibilism. Finally, I consider how various versions of (leeway) compatibilism fit with the Garden of Forking Paths as well as the broader question of whether metaphors, however intuitive, have any dialectical force in the debates over freedom. (shrink)

Recently, several authors have utilized the notion of dependence to respond to the traditional argument for the incompatibility of freedom and divine foreknowledge. However, proponents of this response have not always been so clear in specifying where the incompatibility argument goes wrong, which has led to some unfounded objections to the response. We remedy this dialectical confusion by clarifying both the dependence response itself and its interaction with the standard incompatibility argument. Once these clarifications are made, it becomes clear both (...) (1.) that the dependence response does not beg the question against the proponent of the incompatibility argument and (2.) that the dependence response advances the dialectic whether it is developed as a version of Ockhamism or as a version of multiple-pasts compatibilism. (shrink)

I provide a critical commentary regarding the attitude of the logician and the philosopher towards the physicist and physics. The commentary is intended to showcase how a general change in attitude towards making scientific inquiries can be beneficial for science as a whole. However, such a change can come at the cost of looking beyond the categories of the disciplines of logic, philosophy and physics. It is through self-inquiry that such a change is possible, along with the realization of the (...) essence of the middle that is otherwise excluded by choice. The logician, who generally holds a reverential attitude towards the physicist, can then actively contribute to the betterment of physics by improving the language through which the physicist expresses his experience. The philosopher, who otherwise chooses to follow the advancement of physics and gets stuck in the trap of sophistication of language, can then be of guidance to the physicist on intellectual grounds by having the physicist’s experience himself. In course of this commentary, I provide a glimpse of how a truthful conversion of verbal statements to physico-mathematical expressions unravels the hitherto unrealized connection between Heisenberg uncertainty relation and Cauchy’s definition of derivative that is used in physics. The commentary can be an essential reading if the reader is willing to look beyond the categories of logic, philosophy and physics by being ‘nobody’. (shrink)

Is the virtue of the good citizen the same as the virtue of the good man? Aristotle addresses this in Politics 3.4. His answer is twofold. On the one hand, (the account for Difference) they are not the same both because what the citizen’s virtue is depends on the constitution, on what preserves it, and on the role the citizen plays in it, and because the good citizens in the best constitution cannot all be good men, whereas the good man’s (...) virtue is uniform. On the other hand, (the account for Identity) the two virtues are identical in the good men in the best constitution, in which all are good citizens, each possessing the ability for ruling and for being ruled. This nuanced answer can be seen as Aristotle’s synthesis of a Periclean view (contribution to state blots out personal wrongs) and a Socratic view (no good citizen is without justice). Its nuances reflect the extent to which Aristotle’s conceptions of good citizenship and the best constitution accommodate deviations of what is probable from the human ideal set out in his ethical writings. In the present chapter, I will first address three puzzles regarding the nuances of Aristotle’s answer. Second, I will consider one question about its implication: Does Aristotle’s account for Difference turn out to entail something ultra-Periclean: that no one can simultaneously be a good man and a good citizen in any constitution other than the best? I shall argue the negative. (shrink)

The explicit history of the “hidden variables” problem is well-known and established. The main events of its chronology are traced. An implicit context of that history is suggested. It links the problem with the “conservation of energy conservation” in quantum mechanics. Bohr, Kramers, and Slaters (1924) admitted its violation being due to the “fourth Heisenberg uncertainty”, that of energy in relation to time. Wolfgang Pauli rejected the conjecture and even forecast the existence of a new and unknown then elementary (...) particle, neutrino, on the ground of energy conservation in quantum mechanics, afterwards confirmed experimentally. Bohr recognized his defeat and Pauli’s truth: the paradigm of elementary particles (furthermore underlying the Standard model) dominates nowadays. However, the reason of energy conservation in quantum mechanics is quite different from that in classical mechanics (the Lie group of all translations in time). Even more, if the reason was the latter, Bohr, Cramers, and Slatters’s argument would be valid. The link between the “conservation of energy conservation” and the problem of hidden variables is the following: the former is equivalent to their absence. The same can be verified historically by the unification of Heisenberg’s matrix mechanics and Schrödinger’s wave mechanics in the contemporary quantum mechanics by means of the separable complex Hilbert space. The Heisenberg version relies on the vector interpretation of Hilbert space, and the Schrödinger one, on the wave-function interpretation. However the both are equivalent to each other only under the additional condition that a certain well-ordering is equivalent to the corresponding ordinal number (as in Neumann’s definition of “ordinal number”). The same condition interpreted in the proper terms of quantum mechanics means its “unitarity”, therefore the “conservation of energy conservation”. In other words, the “conservation of energy conservation” is postulated in the foundations of quantum mechanics by means of the concept of the separable complex Hilbert space, which furthermore is equivalent to postulating the absence of hidden variables in quantum mechanics (directly deducible from the properties of that Hilbert space). Further, the lesson of that unification (of Heisenberg’s approach and Schrödinger’s version) can be directly interpreted in terms of the unification of general relativity and quantum mechanics in the cherished “quantum gravity” as well as a “manual” of how one can do this considering them as isomorphic to each other in a new mathematical structure corresponding to quantum information. Even more, the condition of the unification is analogical to that in the historical precedent of the unifying mathematical structure (namely the separable complex Hilbert space of quantum mechanics) and consists in the class of equivalence of any smooth deformations of the pseudo-Riemannian space of general relativity: each element of that class is a wave function and vice versa as well. Thus, quantum mechanics can be considered as a “thermodynamic version” of general relativity, after which the universe is observed as if “outside” (similarly to a phenomenological thermodynamic system observable only “outside” as a whole). The statistical approach to that “phenomenological thermodynamics” of quantum mechanics implies Gibbs classes of equivalence of all states of the universe, furthermore re-presentable in Boltzmann’s manner implying general relativity properly … The meta-lesson is that the historical lesson can serve for future discoveries. (shrink)

Libertarian views of freedom claim that, although determinism would rule out our freedom, we are nevertheless free on some occasions. An odd implication of such views (to put it mildly) seems to be that indeterminism somehow enhances or contributes to our agency. But how could that be? What does indeterminism have to offer agency? This paper develops a novel answer, one that is centred around the notion of explanation. In short, it is argued that, if indeterminism holds in the right (...) places, then the best explanation of the history of the world necessarily cites facts about our agency. Along the way, alternative proposals regarding the significance of indeterminism are considered and, ultimately, rejected in favour of the one developed in this paper. (shrink)

Review of Causation and Free Will by Carolina Sartorio, Oxford University Press, 2016. viii + 188 pp. £35.00.

In the TACITUS project for using commonsense knowledge in the understanding of texts about mechanical devices and their failures, we have been developing various commonsense theories that are needed to mediate between the way we talk about the behavior of such devices and causal models of their operation. Of central importance in this effort is the axiomatization of what might be called commonsense metaphysics. This includes a number of areas that figure in virtually every domain of discourse, such as granularity, (...) scales, time, space, material, physical objects, shape, causality, functionality, and force. Our effort has been to construct core theories of each of these areas, and then to define, or at least characterize, a large number of lexical items in terms provided by the core theories. In this paper we discuss our methodological principles and describe the key ideas in the various domains we are investigating. (shrink)

The remarkable connections between gravity and thermodynamics seem to imply that gravity is not fundamental but emergent, and in particular, as Verlinde suggested, gravity is probably an entropic force. In this paper, we will argue that the idea of gravity as an entropic force is debatable. It is shown that there is no convincing analogy between gravity and entropic force in Verlinde’s example. Neither holographic screen nor test particle satisfies all requirements for the existence of entropic force in a thermodynamics (...) system. As a result, there is no entropic force in the gravity system. Furthermore, we show that the entropy increase of the screen is not caused by its statistical tendency to increase entropy as required by the existence of entropic force, but in fact caused by gravity. Therefore, Verlinde’s argument for the entropic origin of gravity is problematic. In addition, we argue that the existence of a minimum size of spacetime, together with the Heisenberg uncertainty principle in quantum theory, may imply the fundamental existence of gravity as a geometric property of spacetime. This provides a further support for the conclusion that gravity is not an entropic force. (shrink)

We review our approach to quantum mechanics adding also some new interesting results. We start by giving proof of two important theorems on the existence of the A(Si) and i,±1 N Clifford algebras. This last algebra gives proof of the von Neumann basic postulates on the quantum measurement explaining thus in an algebraic manner the wave function collapse postulated in standard quantum theory. In this manner we reach the objective to expose a self-consistent version of quantum mechanics. In detail we (...) realize a bare bone skeleton of quantum mechanics recovering all the basic foundations of this theory on an algebraic framework. We give proof of the quantum like Heisenberg uncertainty relations using only the basic support of the Clifford algebra. In addition we demonstrate the well known phenomenon of quantum Mach Zender interference using the same algebraic framework, as well as we give algebraic proof of quantum collapse in some cases of physical interest by direct application of the theorem that we derive to elaborate the i,±1 N algebra. We also discuss the problem of time evolution of quantum systems as well as the changes in space location, in momentum and the linked invariance principles. We are also able to re-derive the basic wave function of standard quantum mechanics by using only the Clifford algebraic approach. In this manner we obtain a full exposition of standard quantum mechanics using only the basic axioms of Clifford algebra. We also discuss more advanced features of quantum mechanics. In detail, we give demonstration of the Kocken-Specher theorem, and also we give an algebraic formulation and explanation of the EPR paradox only using the Clifford algebra. By using the same approach we also derive Bell inequalities. Our formulation is strongly based on the use of idempotents that are contained in Clifford algebra. Their counterpart in quantum mechanics is represented by the projection operators that, as it is well known, are interpreted as logical statements, following the basic von Neumann results. Von Neumann realized a matrix logic on the basis of quantum mechanics. Using the Clifford algebra we are able to invert such result. According to the results previously obtained by Orlov in 1994, we are able to give proof that quantum mechanics derives from logic. We show that indeterminism and quantum interference have their origin in the logic. Therefore, it seems that we may conclude that quantum mechanics, as it appears when investigated by the Clifford algebra, is a two-faced theory in the sense that it looks from one side to “matter per se”, thus to objects but simultaneously also to conceptual entities. We advance the basic conclusion of the paper: There are stages of our reality in which we no more can separate the logic ( and thus cognition and thus conceptual entity) from the features of “matter per se”. In quantum mechanics the logic, and thus the cognition and thus the conceptual entity-cognitive performance, assume the same importance as the features of what is being described. We are at levels of reality in which the truths of logical statements about dynamic variables become dynamic variables themselves so that a profound link is established from its starting in this theory between physics and conceptual entities. Finally, in this approach there is not an absolute definition of logical truths. Transformations , and thus … “redefinitions”…. of truth values are permitted in such scheme as well as the well established invariance principles, clearly indicate . (shrink)

This paper advocates for a general policy of penal leniency: judges should often sentence offenders to a punishment less severe than initially preferred. The argument’s keystone is the relatively uncontroversial Minimal Invasion Principle (MIP). MIP says that when more than one course of action satisfies a state’s legitimate aim, only the least invasive is permissibly pursued. I contend that MIP applies in two common sentencing situations. In the first, all sentences within a statutorily specified range are equally proportionate. Here MIP (...) applies directly. In the second, judges reasonably believe that one of the sentences within the range is the most proportionate, but can’t identify it with any certainty. In these cases of sentencing uncertainty, judges must be indifferent between their preferred sentence and a softer one, and this indifference triggers MIP. MIP thus frequently mandates some degree of leniency. I conclude with some comments on statistical uncertainty. (shrink)

I explain in what sense the structure of space and time is probably vague or indefinite, a notion I define. This leads to the mathematical representation of location in space and time by a vague interval. From this, a principle of complementary inaccuracy between spatial location and velocity is derived, and its relation to the Uncertainty Principle discussed. In addition, even if the laws of nature are deterministic, the behaviour of systems will be random to some degree. These and (...) other considerations draw classical physics closer to Quantum Mechanics. An arrow of entropy is also derived, given an arrow of time. Lastly, chaos is given an additional, objective meaning. (shrink)

In the following, I will discuss the current social reaction to the ecological crisis and the ways in which society reacts to technological risks, which can be understood primarily as a reaction to scientific and moral or ethical uncertainty. In the first section, I will clarify what is meant by scientific and moral or ethical uncertainty. In the second section, I will contrast Max Weber's differentiation of science, law [Recht) and morality in the modern world with the process (...) of de-differentiation of these value spheres, a trend which can be observed in the present-day context of the ecological crisis and technological risks. We shall see that social contradictions emerge in the functional relationships between these value spheres, and that such contradictions go hand in hand with these value spheres or contexts of discourse either losing their original function or becoming transformed. Science forfeits its role as a functional authority and becomes a strategic resource for politics. Law becomes a basic constituent of an amoral form of negotiation, which can no longer be properly grasped in terms of legal categories. Morality is transformed into fear, and economics yields unprofitable practices. In the third section, I will in attempt to open up the moral and ethical dimension of how to deal with uncertainty with the help of discourse theory (Apel, 1988; Habermas, 1996), as well as outline a possible solution. (shrink)

Introduction & Objectives: Norwich’s Entropy Theory of Perception (1975 [1] -present) stands alone. It explains many firing-rate behaviors and psychophysical laws from bare theory. To do so, it demands a unique sort of interaction between receptor and brain, one that Norwich never substantiated. Can it now be confirmed, given the accumulation of empirical sensory neuroscience? Background: Norwich conjoined sensation and a mathematical model of communication, Shannon’s Information Theory, as follows: “In the entropic view of sensation, magnitude of sensation is regarded (...) as a measure of the entropy or uncertainty of the stimulus signal” [2]. “To be uncertain about the outcome of an event, one must first be aware of a set of alternative outcomes” [3]. “The entropy-establishing process begins with the generation of a [internal] sensory signal by the stimulus generator. This is followed by receipt of the [external] stimulus by the sensory receptor, transmission of action potentials by the sensory neurons, and finally recapture of the [response to the internal] signal by the generator” [4]. The latter “recapture” differentiates external from internal stimuli. The hypothetical “stimulus generators” are internal emitters, that generate photons in vision, audible sounds in audition (to Norwich, the spontaneous otoacoustic emissions [SOAEs]), “temperatures in excess of local skin temperature” in skin temperature sensation [4], etc. Method (1): Several decades of empirical sensory physiology literature was scrutinized for internal “stimulus generators”. Results (1): Spontaneous photopigment isomerization (“dark light”) does not involve visible light. SOAEs are electromechanical basilar-membrane artefacts that rarely produce audible tones. The skin’s temperature sensors do not raise skin temperature, etc. Method (2): The putative action of the brain-and-sensory-receptor loop was carefully reexamined. Results (2): The sensory receptor allegedly “perceives”, experiences “awareness”, possesses “memory”, and has a “mind”. But those traits describe the whole human. The receptor, thus anthropomorphized, must therefore contain its own perceptual loop, containing a receptor, containing a perceptual loop, etc. Summary & Conclusions: The Entropy Theory demands sensory awareness of alternatives, through an imagined brain-and-sensory-receptor loop containing internal “stimulus generators”. But (1) no internal “stimulus generators” seem to exist and (2) the loop would be the outermost of an infinite nesting of identical loops. (shrink)

Given the laws of our universe, the initial conditions and cosmological constants had to be "fine-tuned" to result in life. Is this evidence for design? We argue that we should be uncertain whether an ideal agent would take it to be so—but that given such uncertainty, we should react to fine-tuning by boosting our confidence in design. The degree to which we should do so depends on our credences in controversial metaphysical issues.

To this day, a hundred and fifty years after Mendeleev's discovery, the overal structure of the periodic system remains unaccounted for in quantum-mechanical terms. Given this dire situation, a handful of scientists in the 1970s embarked on a quest for the symmetries that lie hidden in the periodic table. Their goal was to explain the table's structure in group-theoretical terms. We argue that this symmetry program required an important paradigm shift in the understanding of the nature of chemical elements. The (...) idea, in essence, consisted of treating the chemical elements, not as particles, but as states of a superparticle. We show that the inspiration for this came from elementary particle physics, and in particular from Heisenberg's suggestion to treat the proton and neutron as different states of the nucleon. We provide a careful study of Heisenberg's last paper on the nature of elementary particles, and explain why the Democritean picture of matter no longer applied in modern physics and a Platonic symmetry-based picture was called for instead. We show how Heisenberg's Platonic philosophy came to dominate the field of elementary particle physics, and how it found its culmination point in Gell-Mann's classification of the hadrons in the eightfold way. We argue that it was the success of Heisenberg's approach in elementary particle physics that sparked the group-theoretical approach to the periodic table. We explain how it was applied to the set of chemical elements via a critical examination of the work of the Russian mathematician Abram Ilyich Fet the Turkish-American physicist Asim Orhan Barut, before giving some final reflections. (shrink)