In this paper, we show within ${\mathsf{RCA}_0}$ that both the Jordan curve theorem and the Schönflies theorem are equivalent to weak König’s lemma. Within ${\mathsf {WKL}_0}$ , we prove the Jordan curve theorem using an argument of non-standard analysis based on the fact that every countable non-standard model of ${\mathsf {WKL}_0}$ has a proper initial part that is isomorphic to itself (Tanaka in Math Logic Q 43:396–400, 1997).

In this article, we give a summary of Leonhard Euler’s work on the pentagonal number theorem. First we discuss related work of earlier authors and Euler himself. We then review Euler’s correspondence, papers and notebook entries about the pentagonal number theorem and its applications to divisor sums and integer partitions. In particular, we work out the details of an unpublished proof of the pentagonal number theorem from Euler’s notebooks. As we follow Euler’s discovery and proofs of the (...) pentagonal number theorem, we pay attention to Euler’s ideas about when we can consider a mathematical statement to be true. Finally, we discuss related results in the theory of analytic functions. (shrink)

Two partition-theorems are proved for a particular causal decision theory. One is restricted to a certain kind of partition of circumstances, and analyzes the utility of an option in terms of its utilities in conjunction with circumstances in this partition. The other analyzes an option's utility in terms of its utilities conditional on circumstances and is quite unrestricted. While the first form seems more useful for applications, the second form may be of theoretical importance in foundational exercises. Comparisons are made (...) with theorems of Richard Jeffrey, Brad Armendt, and Peter Fishburn. (shrink)

A BAYESIAN ARTICULATION OF HUME’S VIEWS IS OFFERED BASED ON A FORM OF THE BAYES-LAPLACE THEOREM THAT IS SUPERFICIALLY LIKE A FORMULA OF CONDORCET’S. INFINITESIMAL PROBABILITIES ARE EMPLOYED FOR MIRACLES AGAINST WHICH THERE ARE ’PROOFS’ THAT ARE NOT OPPOSED BY ’PROOFS’. OBJECTIONS MADE BY RICHARD PRICE ARE DEALT WITH, AND RECENT EXPERIMENTS CONDUCTED BY AMOS TVERSKY AND DANIEL KAHNEMAN ARE CONSIDERED IN WHICH PERSONS TEND TO DISCOUNT PRIOR IMPROBABILITIES WHEN ASSESSING REPORTS OF WITNESSES.

"It is a general maxim...’ That no testimony is sufficient to establish a miracle, unless the testimony be of such a kind that its falsehood would be more miraculous, than the fact which it endeavors to establish; and even in that case there is a mutual destruction of arguments, and the superior only gives us an assurance suitable to that degree of force, which remains, after deducting the inferior.’" A Bayesian interpretation of the first half is proved as a (...) class='Hi'>theorem. A stronger conditional principle, and a biconditional theorem based on it, are substantiated. And a truth that the second part can express is explained. (shrink)

Leslie Tharp proves three theorems concerning epistemic and metaphysical modality for conventional modal predicate logic: every truth is a priori equivalent to a necessary truth, every truth is necessarily equivalent to an a priori truth, and every truth is a priori equivalent to a contingent truth. Lloyd Humberstone has shown that these theorems also hold in the modal system Actuality Modal Logic, the logic that results from the addition of the actuality operator to conventional modal logic. We show that Tharp’s (...) theorems fail for the expressively equivalent Subjunctive Modal Logic, the logic that was developed by Kai Wehmeier as an alternative to AML. We then argue that the existence of Tharp’s theorems for AML is due to a faulty interpretation of the notion of necessary truth, a feature that is not shared by SML. The paper concludes with an argument for the thesis that the existence of the distinction between truth at all worlds w and truth at all worlds w from the point of view of w as the actual world is an artifact owing to the interaction of the necessity and actuality operator. (shrink)

There are narrowest bounds for P(h) when P(e) = y and P(h/e) = x, which bounds collapse to x as y goes to 1. A theorem for these bounds -- bounds for probable modus ponens -- entails a principle for updating on possibly uncertain evidence subject to these bounds that is a generalization of the principle for updating by conditioning on certain evidence. This way of updating on possibly uncertain evidence is appropriate when updating by ’probability kinematics’ or ’Jeffrey-conditioning’ (...) is, and apparently in countless other cases as well. A more complicated theorem due to Karl Wagner -- bounds for probable modus tollens -- registers narrowest bounds for P(not h) when P(not e) = y and P(e/h) = x. This theorem serves another principle for updating on possibly uncertain evidence that might be termed ’contraditioning’, though it is for a way of updating that seems in practice to be frequently not appropriate. It is definitely not a way of putting down a theory -- for example, a random-chanc. (shrink)

In 1870 Jordan proved that the composition factors of two composition series of a group are the same. Almost 20 years later Hölder (1889) was able to extend this result by showing that the factor groups, which are quotient groups corresponding to the composition factors, are isomorphic. This result, nowadays called the Jordan-Hölder Theorem, is one of the fundamental theorems in the theory of groups. The fact that Jordan, who was working in the framework of substitution (...) groups, was able to prove only a part of this theorem is often used to emphasize the importance and even the necessity of the abstract conception of groups, which was employed by Hölder. However, as a little-known paper from 1873 reveals, Jordan had all the necessary ingredients to prove the Jordan-Hölder Theorem at his disposal (namely, composition series, quotient groups, and isomorphisms), and he also noted a connection between composition factors and corresponding quotient groups. Thus, I argue that the answer to the question posed in the title is “Yes.” It was not the lack of the abstract notion of groups which prevented Jordan from proving the Jordan-Hölder Theorem, but the fact that he did not ask the right research question that would have led him to this result. In addition, I suggest some reasons why this has been overlooked in the historiography of algebra, and I argue that, by hiding computational and cognitive complexities, abstraction has important pragmatic advantages. (shrink)

The Jordan decomposition theorem states that every function $f \colon \, [0,1] \to \mathbb {R}$ of bounded variation can be written as the difference of two non-decreasing functions. Combining this fact with a result of Lebesgue, every function of bounded variation is differentiable almost everywhere in the sense of Lebesgue measure. We analyze the strength of these theorems in the setting of reverse mathematics. Over $\mathsf {RCA}_{0}$, a stronger version of Jordan’s result where all functions are continuous (...) is equivalent to $\mathsf {ACA}_0$, while the version stated is equivalent to ${\textsf {WKL}}_{0}$. The result that every function on $[0,1]$ of bounded variation is almost everywhere differentiable is equivalent to ${\textsf {WWKL}}_{0}$. To state this equivalence in a meaningful way, we develop a theory of Martin–Löf randomness over $\mathsf {RCA}_0$. (shrink)

Excerpt from The Stability of Truth: A Discussion of Reality as Related to Thought and Action The generalizations and principles of science, the significance of scientific facts, the consequences of recognizing and adopting in our daily life the knowledge of science: these are the subjects of this series of books, to be called the Philosophy of Nature Series. The science which will be most in evidence in these books is the science of living things, biology. And it is the application (...) of the scientific knowledge of living things in general to the conduct of human life in particular which will be the subject most conspicuous in the list of titles of the books of the series. This first book, then, a robust treatment of science in life, by a robust exponent of the life scientific, should be a most excellent introduction to the Series. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. (shrink)

THE MOST SACRED FREEDOM includes eight essays that were first presented at the 2014 A.V. Elliott Conference on Great Books and Ideas, the seventh annual conference sponsored by Mercer Universitys Thomas C. and Ramona E. McDonald Center for Americas Founding Principles. Together, these essays explore the great principle of religious liberty by charting its development in the Western tradition and reconsidering its place at Americas founding. The book begins with a comparison between the flood accounts in Genesis and the Mesopotamian (...) Atra-Has's and advances all the way to the 2014 Supreme Court case Burwell v. Hobby Lobby. The intervening chapters examine the contributions of figures such as Emperor Julian, Roger Williams, Cecilius Calvert, John Locke, Jean-Jacques Rousseau, and the American Founders. Contributors to the volume are Steven Grosby, Jeremiah H. Russell, Maura Jane Farrelly, Daniel Cullen, John Witte, Jr., Scott Yenor, David Ramsey, and Michael Novak. (shrink)

This paper explores the details of Malebranche‘s philosophy of mind, paying particular attention to the mind-body relationship and the roles of the imagination and the passions. I demonstrate that Malebranche has available an alternative to his deontological ethical system: the alternative I expose is based around his account of the embodied aspects of the mind and the sensations experienced in perception. I briefly argue that Hume, a philosopher already indebted to Malebranche for much inspiration, read Malebranche in the positive way (...) that I here describe him. Malebranche should therefore be acknowledged as a serious influence on Enlightenment philosophy of sensibility. (shrink)

1. Sexual Brains and Body Politics 2. Hormones and Hardwiring 3. Making Sense of Brain Organization Studies 4. Thirteen Ways of Looking at Brain Organization 5. Working Backward from “Distinct‘ Groups 6. Masculine and Feminine Sexuality 7. Sexual Orienteering 8. Sex-Typed Interests 9. Taking Context Seriously 10. Trading Essence for Potential.

What does everyone in the modern world need to know? Renowned psychologist Jordan B. Peterson's answer to this most difficult of questions uniquely combines the hard-won truths of ancient tradition with the stunning revelations of cutting-edge scientific research. Humorous, surprising and informative, Dr. Peterson tells us why skateboarding boys and girls must be left alone, what terrible fate awaits those who criticize too easily, and why you should always pet a cat when you meet one on the street. What (...) does the nervous system of the lowly lobster have to tell us about standing up straight (with our shoulders back) and about success in life? Why did ancient Egyptians worship the capacity to pay careful attention as the highest of gods? What dreadful paths do people tread when they become resentful, arrogant and vengeful? Dr. Peterson journeys broadly, discussing discipline, freedom, adventure and responsibility, distilling the world's wisdom into 12 practical and profound rules for life. [This book] shatters the modern commonplaces of science, faith and human nature, while transforming and ennobling the mind and spirit of its readers. (shrink)

Dialogic Materialism: Bakhtin, Embodiment and Moving Image Art argues for the relevance of Mikhail Bakhtin's theories of dialogism as a means of examining the interdisciplinary nature of contemporary moving image art forms. The volume comprises six chapters divided into two sections. The first section, Part I, illustrates the key concepts in Bakhtin's multifaceted dialogism and develops these ideas in relation to moving image art. The main focus of this first part is the proposal of what the author terms dialogic materialism, (...) which builds upon the Marxism inherent in Bakhtin, examining the material processes of cultural exchange with a particular emphasis on multi-perspective subjective relations. Part II consists of case studies that apply dialogic materialism to the moving image artwork of three artists: Stan Douglas, Jamelie Hassan and Chris Marker. Applying Bakhtinian theory to the field of the visual arts provides a means of examining the fundamentally dialogic nature of moving image art making and viewing, a perspective that is not fully developed within the existing literature. (shrink)

Jordan's book is an inspiring and uplifting exploration of the power of hope. Drawing on philosophy, science, and literature, Jordan argues that hope is a fundamental human need that can sustain us during life's darkest moments. This book is a testament to the resilience of the human spirit and a call to embrace hope as a guiding principle in our lives. This work has been selected by scholars as being culturally important, and is part of the knowledge base (...) of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

By using religion to get at the core concepts of Michel Foucault's thinking, this book offers a strong alternative to the way that the philosopher's work is read across the humanities. Foucault was famously interested in Christianity as both the rival to ancient ethics and the parent of modern discipline and was always alert to the hypocrisy and the violence in churches. Yet many readers have ignored how central religion is to his thought, particularly with regard to human bodies and (...) how they are shaped. The point is not to turn Foucault into some sort of believer or to extract from him a fixed thesis about religion as such. Rather, it is to see how Foucault engages religious _rhetoric_ page after page—even when religion is not his main topic. When readers follow his allusions, they can see why he finds in religion not only an object of critique, but a perennial provocation to think about how speech works on bodies—and how bodies resist. Arguing that Foucault conducts experiments in writing to frustrate academic expectations about history and theory, Mark Jordan gives equal weight to the performative and theatrical aspects of Foucault's writing or lecturing. How does Foucault stage possibilities of self-transformation? How are his books or lectures akin to the rituals and liturgies that he dissects in them? _Convulsing Bodies_ follows its own game of hide-and-seek with the agents of totalizing systems and gives us a Foucault who plays with his audiences as he plays for them—or teaches them. (shrink)

This collection of literature attempts to compile many of the classic works that have stood the test of time and offer them at a reduced, affordable price, in an attractive volume so that everyone can enjoy them.

China is rising. As China ascends in power, it is likely that ?Western? administrators ? American and European, in particular ? will find that they must interact with Chinese administrators more and more. In this article, I offer readers a brief glimpse into Chinese administrative ethics through an investigation of two forms of Chinese philosophy ? Confucianism and Taoism. In addition to reviewing these philosophies, I derive some consequences for a public service ethic that lies between the East and the (...) West. In particular, this article includes some recommendations for the managerial implications of these two philosophies in the context of increased political and administrative connections between the West and China. (shrink)

Disasters change how we understand the world, and in doing so they can accelerate social movements that drive long-term change. This book uses social epistemology to chart how disaster experiences change us, how current systems harm us by shutting down that change, and how we can reform disaster practices to better adjust to our future crises.

Elvira Basevich, Martin Sticker, and Helga Varden offered generative criticism of my monograph, Kant’s Theory of Labour. In this response, I explore how the resources they offer for thinking about gender, labour, and the state’s responsibility to ensure the material conditions of freedom can deepen both our attentiveness to patterns of systemic injustice in Kant’s political philosophy, and the resources Kant offers for addressing contemporary patterns of intersectional and material injustice.

This chapter contains sections titled: Right and Wrong Ethics and Legislation Morality and the State The Origin, Foundation and Purpose of the State Political Obligation and the Social Contract The Theory of Punishment Jurisprudence The Value of the State Conclusion References.

In their effort to emphasize the positive role of nature in our lives, environmental thinkers have tended to downplay or even to ignore the negative aspects of our experience with nature and, even when acknowledging them, have had little to offer by way of psychologically and spiritually productive ways of dealing with them. The idea that the experience of value begins with the experience of existential shame—arising from awareness of the limitations that define the self—needs to be explored. The primary (...) purpose of the “technologies of the imagination”—myth, symbol, ritual and the arts—is to provide a passage through this shame to the experience of values such as community, meaning, beauty, and the sacred and, through these experiences, to inscribe them into conscience. The implications of this idea for environmental thinking and practice can be explored in two areas involving strong engagement with nature: ecological restoration and the production and eating of food. An environmentalism that fails to provide productive ways of dealing with existential shame may well prove inadequate to the task of providing means for achieving a healthy, sustain­able relationship between humans and the rest of nature. (shrink)

PROMISE AND PERIL includes essays that explore the idea of republicanism across the history of political thought, focusing on the challenges and dilemmas endemic to popular government.

Strawson (1994) and Peacocke (1992) introduced thought experiments that show that it seems intuitive that there is, in some way, an experiential character to mental events of understanding. Some (e.g., Siewert 1998, 2011; Pitt 2004) try to explain these intuitions by saying that just as we have, say, headache experiences and visual experiences of blueness, so too we have experiences of understanding. Others (e.g., Prinz 2006, 2011; Tye 1996) propose that these intuitions can be explained without positing experiences of understanding. (...) Call this the debate between Realism and Anti-Realism about experiences of understanding. This paper aims to advance that debate in two ways. In the first half, I develop more precise characterizations of what Realists and Anti-Realists propose. In the second half, I distinguish the four most plausible versions of Anti-Realism and argue that Realism better explains the target intuition than any of them does. (shrink)

The ‘black box problem’ is a long-standing talking point in debates about artificial intelligence. This is a significant point of tension between ethicists, programmers, clinicians and anyone else working on developing AI for healthcare applications. However, the precise definition of these systems are often left undefined, vague, unclear or are assumed to be standardised within AI circles. This leads to situations where individuals working on AI talk over each other and has been invoked in numerous debates between opaque and explainable (...) systems. This paper proposes a coherent and clear definition for the black box problem to assist in future discussions about AI in healthcare. This is accomplished by synthesising various definitions in the literature and examining several criteria that can be extrapolated from these definitions. There are no data in this work. (shrink)

In the debate surrounding the morality and legality of the practices of physician-assisted death and euthanasia, a common logical argument regularly employed against these practices is the “slippery slope argument.” One formulation of this argument claims that acceptance of physician-assisted death will eventually lead down a “slippery slope” into acceptance of active euthanasia, including its voluntary, non-voluntary, and/or involuntary forms, through psychological and social processes that warp a society’s values and moral perspective of a practice over an extended period of (...) time. This formulation is known as the psychological slippery slope argument. This paper analyzes the psychological slippery slope argument as it is applied to the practice of physician-assisted death, and utilizing recent empirical evidence from various nations around the world that practice physician-assisted death and/or euthanasia, the paper argues that employing the psychological slippery slope argument against physician-assisted death is logically fallacious, this kind of slippery slope is unfounded in practice, and thus the psychological slippery slope argument is insufficient on its own to justify continued legal prohibition of physician-assisted death. (shrink)

Agent-regret seems to give rise to a philosophical puzzle. If we grant that we are not morally responsible for consequences outside our control (the ‘Standard View’), then agent-regret—which involves self-reproach and a desire to make amends for consequences outside one’s control—appears rationally indefensible. But despite its apparent indefensibility, agent-regret still seems like a reasonable response to bad moral luck. I argue here that the puzzle can be resolved if we appreciate the role that agent-regret plays in a larger social practice (...) that helps us deal with bad moral luck. That agent-regret is a component in a social practice limits the questions that we can reasonably ask about it. While we can ask whether an experience of agent-regret is rational given the norms of this practice, we cannot ask the question that motivates the puzzle of agent-regret, viz. whether agent-regret is rationally defensible according to the Standard View. (shrink)

This book is an interpretation of the moral teaching of Thomas Aquinas's Summa of Theology. It argues that teaching on the virtues can only be understood by turning to the patterns of divine teaching in the incarnation and the sacraments. It presents this not only as Thomas's great originality in the Summa but also as his contribution to Christian thought in the present.

This Element examines Kant's innovative account of labour in his political philosophy and develops an intersectional analysis of Kant. By demonstrating that Kant's analysis of slavery, citizenship, and sex developed in inter-linked ways over several decades, culminating in his development of a 'trichotomy' of Right, the author shows that Kant's normative account of independence is configured through his theory of labour, and is continuous with his anthropological accounts of race and gender, providing a systemic justification for the dependency of women (...) and non-whites embedded in his philosophy of right. By examining Kant's arguments about slavery as intertwined with his account of domestic labour, the author argues that his ultimate rejection of slavery may owe more to his changing conceptualization of labour than to his theory of race, and that his final arguments against slavery rehearse strategies for embedding intersectional patterns of domestic dependence in his account of the rightful state. (shrink)

The dominant public philosophy of the United States of America has long been some version of liberalism--dedicated to individual liberty, equal rights, religious freedom, government by consent, and established limits on political power. Today, however, we find ourselves in unusual times, when the major political parties have powerful and growing wings that embrace decidedly illiberal public philosophies. On the Left, critical theory eschews Enlightenment rationalism and liberal ideas of toleration and individual liberty as structures that serve to support inequality and (...) oppression. On the Right, conservative scholars excoriate liberalism for privileging an ideal of individual autonomy that eats away at the civilizing bonds of family, tradition, religion, and country. What seems new here is not the critiques themselves, but the power and popularity of political movements that openly and proudly reject the first principles of America's long-dominant public philosophy. Can the center hold? Can the principles of 1776 survive? Or has liberalism run its course? With these questions in the air, this book proposes to return with fresh eyes to the beginning of liberalism and the political philosophy of John Locke. Instead of looking at Lockean liberalism as a simple and timeworn ideological program, the essays reexamine Locke's project by remaining alive to the complexity and nuance with which he addressed his subject. The Locke that emerges is indeed an ambitious and radical thinker, but one not as imprudent or unmindful of custom as his conservative critics would have it, nor as tolerant of oppression as his progressive critics aver. (shrink)

This article addresses a classical question: Can a machine use language meaningfully and if so, how can this be achieved? The first part of the paper is mainly philosophical. Since meaning implies intentionality on the part of the language user, artificial systems which obviously lack intentionality will be `meaningless'. There is, however, no good reason to assume that intentionality is an exclusively biological property and thus a robot with bodily structures, interaction patterns and development similar to those of human beings (...) would constitute a system possibly capable of meaning – a conjecture supported through a Wittgenstein-inspired thought experiment. The second part of the paper focuses on the empirical and constructive questions. Departing from the principle of epigenesis stating that during every state of development new structure arises on the basis of existing structure plus various sorts of interaction, a model of human cognitive and linguistic development is proposed according to which physical, social and linguistic interactions between the individual and the environment have their respective peaks in three consecutive stages of development: episodic, mimetic and symbolic. The transitions between these stages are qualitative, and bear a similarity to the stages in phylogenesis proposed by Donald and Deacon. Following the principle of epigenetic development, robotogenesis could possibly recapitulate ontogenesis, leading to the emergence of intentionality, consciousness and meaning. (shrink)

To systematically answer the generalized Kretschmann objection, I propose a mean to make operational a criterion widely recognized as allowing one to decide whether the gauge symmetry of a theory is artificial or substantial. My proposition is based on the dressing field method of gauge symmetry reduction, a new simple tool from mathematical physics. This general scheme allows one in particular to straightforwardly argue that the notion of spontaneous symmetry breaking is superfluous to the empirical success of the electroweak theory. (...) Important questions regarding the context of justification of the theory then arise. (shrink)

The COVID-19 pandemic is putting the NHS under unprecedented pressure, requiring clinicians to make uncomfortable decisions they would not ordinarily face. These decisions revolve primarily around intensive care and whether a patient should undergo invasive ventilation. Certain vulnerable populations have featured in the media as falling victim to an increasingly utilitarian response to the pandemic—primarily those of advanced years or with serious existing health conditions. Another vulnerable population potentially at risk is those who lack the capacity to make their own (...) care decisions. Owing to the pandemic, there are increased practical and normative challenges to following the requirements of the Mental Capacity Act 2005. Both capacity assessments and best interests decisions may prove more difficult in the current situation. This may create a more paternalistic situation in decisions about the care of the cognitively impaired which is at risk of taking on a utilitarian focus. We look to these issues and consider whether there is a risk of patients who lack capacity to make their own care decisions being short-changed. (shrink)

Non-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing machine (...) – Is continuality universal? – Diffeomorphism and velocity – Einstein’s general principle of relativity – „Mach’s principle“ – The Skolemian relativity of the discrete and the continuous – The counterexample in § 6 of their paper – About the classical tautology which is untrue being replaced by the statements about commeasurable quantum-mechanical quantities – Logical hidden parameters – The undecidability of the hypothesis about hidden parameters – Wigner’s work and и Weyl’s previous one – Lie groups, representations, and psi-function – From a qualitative to a quantitative expression of relativity − psi-function, or the discrete by the random – Bartlett’s approach − psi-function as the characteristic function of random quantity – Discrete and/ or continual description – Quantity and its “digitalized projection“ – The idea of „velocity−probability“ – The notion of probability and the light speed postulate – Generalized probability and its physical interpretation – A quantum description of macro-world – The period of the as-sociated de Broglie wave and the length of now – Causality equivalently replaced by chance – The philosophy of quantum information and religion – Einstein’s thesis about “the consubstantiality of inertia ant weight“ – Again about the interpretation of complex velocity – The speed of time – Newton’s law of inertia and Lagrange’s formulation of mechanics – Force and effect – The theory of tachyons and general relativity – Riesz’s representation theorem – The notion of covariant world line – Encoding a world line by psi-function – Spacetime and qubit − psi-function by qubits – About the physical interpretation of both the complex axes of a qubit – The interpretation of the self-adjoint operators components – The world line of an arbitrary quantity – The invariance of the physical laws towards quantum object and apparatus – Hilbert space and that of Minkowski – The relationship between the coefficients of -function and the qubits – World line = psi-function + self-adjoint operator – Reality and description – Does a „curved“ Hilbert space exist? – The axiom of choice, or when is possible a flattening of Hilbert space? – But why not to flatten also pseudo-Riemannian space? – The commutator of conjugate quantities – Relative mass – The strokes of self-movement and its philosophical interpretation – The self-perfection of the universe – The generalization of quantity in quantum physics – An analogy of the Feynman formalism – Feynman and many-world interpretation – The psi-function of various objects – Countable and uncountable basis – Generalized continuum and arithmetization – Field and entanglement – Function as coding – The idea of „curved“ Descartes product – The environment of a function – Another view to the notion of velocity-probability – Reality and description – Hilbert space as a model both of object and description – The notion of holistic logic – Physical quantity as the information about it – Cross-temporal correlations – The forecasting of future – Description in separable and inseparable Hilbert space – „Forces“ or „miracles“ – Velocity or time – The notion of non-finite set – Dasein or Dazeit – The trajectory of the whole – Ontological and onto-theological difference – An analogy of the Feynman and many-world interpretation − psi-function as physical quantity – Things in the world and instances in time – The generation of the physi-cal by mathematical – The generalized notion of observer – Subjective or objective probability – Energy as the change of probability per the unite of time – The generalized principle of least action from a new view-point – The exception of two dimensions and Fermat’s last theorem. (shrink)

Offers new insights, tools, and methodologies for the design of urban environments in relationship to noise and sound.

Despite an efflorescence of historical scholarship on the theme of monarchy in nineteenth-century Britain, the views of the great Victorian man of letters Thomas Carlyle (1795–1881) in this regard have been explored only in fragmentary and incomplete fashion. The present article aims to offer a comprehensive survey of Carlyle's thought regarding monarchy, arguing that on the whole, Carlyle was strongly and consistently opposed to monarchy on the hereditary principle, claiming that this had become an absurd anachronism in the modern (democratic) (...) world. Instead, Carlyle strongly and consistently promoted a merit-based aristocracy of talent, in which the ‘best’ man would rule, regardless of heredity or social origin. Indeed, in his historical writings, he was quite prepared to endorse regicide as a means to replacing inept hereditary monarchs with low-born men of destiny such as Oliver Cromwell. Although Carlyle refrained from publicly demanding the abolition of the monarchy in contemporary Britain, his private correspondence and conversation were replete with sneers and snide asides regarding Queen Victoria and her predecessors. (shrink)