Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory. Stressing the history and theory of these mathematical concepts rather than the mechanics, the authors provide many insights into the development of quantum mechanics and present much hard-to-find material in a remarkably lucid, compact form. After summarizing the historical background from Pythagoras to Francis Bacon, Professors Yourgrau and Mandelstram cover Fermat's principle of least (...) time, the principle of least action of Maupertuis, development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. Equipped by this thorough preparation to treat variational principles in general, they proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations. An investigation of electrodynamics in Hamiltonian form covers next, followed by a resume of variational principles in classical dynamics. The authors then launch into an analysis of their most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Professional physicists, mathematicians, and advanced students with a strong mathematical background will find this stimulating volume invaluable reading. Extremely popular in its hardcover edition, this volume will find even wider appreciation in its first fine inexpensive paperbound edition. (shrink)

In this paper we introduce a variational principle from which the fundamental equations of classical physics can be deduced. This principle permits a sort of unification of the gravitational and the electromagnetic fields. The basic point of this variational principle is that the world-line of a material point is parametrized by a parameter a which carries some physical information, namely it is related to the rest mass and to the charge. In particular, the (inertial) rest (...) mass will not be a property of a material point, but it will be a constant of the motion which is determined by the initial conditions. In this framework the equality between the inertial and gravitational mass can be deduced. (shrink)

The fundamental result of Lanczos is used in a new type of quadratic variational principle whose field equations are the Einstein field equations together with the Yang-Mills type equations for the Riemann curvature. Additionally, a spin-2 theory of gravity for the special case of the Einstein vacuum is discussed.

A very weak omniscience principle is formulated, related omniscience principlesare considered, and the theorem that a function of bounded variation is the difference of two increasing functions is shown to be equivalent to the omniscience principle WLPO. It is a so shown that an arbitrary function with located variation on an interval is the difference of two increasing functions.

The aim of this paper is twofold: (1) to assess whether the construct of neural representations plays an explanatory role under the variational free-energy principle and its corollary process theory, active inference; and (2) if so, to assess which philosophical stance - in relation to the ontological and epistemological status of representations - is most appropriate. We focus on non-realist (deflationary and fictionalist-instrumentalist) approaches. We consider a deflationary account of mental representation, according to which the explanatorily relevant contents (...) of neural representations are mathematical, rather than cognitive, and a fictionalist or instrumentalist account, according to which representations are scientifically useful fictions that serve explanatory (and other) aims. After reviewing the free-energy principle and active inference, we argue that the model of adaptive phenotypes under the free-energy principle can be used to furnish a formal semantics, enabling us to assign semantic content to specific phenotypic states (the internal states of a Markovian system that exists far from equilibrium). We propose a modified fictionalist account: an organism-centered fictionalism or instrumentalism. We argue that, under the free-energy principle, pursuing even a deflationary account of the content of neural representations licenses the appeal to the kind of semantic content involved in the aboutness or intentionality of cognitive systems; our position is thus coherent with, but rests on distinct assumptions from, the realist position. We argue that the free-energy principle thereby explains the aboutness or intentionality in living systems and hence their capacity to parse their sensory stream using an ontology or set of semantic factors. (shrink)

The issue of the relationship between predictive processing (PP) and the free energy principle (FEP) remains a subject of debate and controversy within the research community. Many researchers have expressed doubts regarding the actual integration of PP with the FEP, questioning whether the FEP can truly contribute significantly to the mechanistic understanding of PP or even undermine such integration altogether. In this paper, I present an alternative perspective. I argue that, from the viewpoint of the constraint-based mechanisms approach, the (...) FEP imposes an important constraint, namely variational free energy, on the mechanistic architecture proposed by PP. According to the constraint-based mechanisms approach, high-level cognitive mechanisms are integral parts of extensive heterarchical networks that govern the physiology and behavior of agents. Consequently, mechanistic explanations of cognitive phenomena should incorporate constraints and flows of free energy as relevant components, given that the implemented constraints operate as long as free energy is available. Within this framework, I contend that the FEP provides a relevant constraint for explaining at least some biological cognitive mechanisms described in terms of Bayesian generative models that minimize prediction errors. (shrink)

Variation, adaptation, heredity and fitness, constraints and affordances, speciation, and extinction form the building blocks of the (Neo-)Darwinian research program, and several of these have been called “Darwinian principles.” Here, we suggest that caution should be taken in calling these principles Darwinian because of the important role played by reticulate evolutionary mechanisms and processes in also bringing about these phenomena. Reticulate mechanisms and processes include symbiosis, symbiogenesis, lateral gene transfer, infective heredity mediated by genetic and organismal mobility, and hybridization. Because (...) the “Darwinian principles” are brought about by both vertical and reticulate evolutionary mechanisms and processes, they should be understood as foundational for a more pluralistic theory of evolution, one that surpasses the classic scope of the Modern and the Neo-Darwinian Synthesis. Reticulate evolution moreover demonstrates that what conventional (Neo-)Darwinian theories treat as intra-species features of evolution frequently involve reticulate interactions between organisms from very different taxonomic categories. Variation, adaptation, heredity and fitness, constraints and affordances, speciation, and extinction therefore cannot be understood as “traits” or “properties” of genes, organisms, species, or ecosystems because the phenomena are irreducible to specific units and levels of an evolutionary hierarchy. Instead, these general principles of evolution need to be understood as common goods that come about through interactions between different units and levels of evolutionary hierarchies, and they are exherent rather than inherent properties of individuals. (shrink)

In his book on P max [7], Woodin presents a collection of partial orders whose extensions satisfy strong club guessing principles on ω | . In this paper we employ one of the techniques from this book to produce P max variations which separate various club guessing principles. The principle (+) and its variants are weak guessing principles which were first considered by the second author [4] while studying games of length ω | . It was shown in [1] (...) that the Continuum Hypothesis does not imply (+) and that (+) does not imply the existence of a club guessing sequence on ω | . In this paper we give an alternate proof of the second of these results, using Woodin's P max technology, showing that a strengthening of (+) does not imply a weakening of club guessing known as the Interval Hitting Principle. The main technique in this paper, in addition to the standard P m a x machinery, is the use of condensation principles to build suitable iterations. (shrink)

Word order variation in Mandarin Chinese results in two constructions consisting of a noun phrase, a cluster of a demonstrative and a classifier, and a relative clause : the OMN with the RC+DM+NP order and the IMN with DM+RC+NP order. This study used corpus data to show correlational patterns of constructional choices. Specifically, OMN is associated with new and inanimate NPs serving the grammatical role of object in the relative clause that serves the discourse function of identification. By contrast, for (...) IMN, the head NP tends to carry given information, tends to be an animate entity, tends to serve the grammatical role of subject in the relative clause, and tends to have an RC that serves the discourse function of characterization. We suggest that the usage patterns can be interpreted in terms of the cognitive and communicative principles of relevance. (shrink)

In evolutionary biology, niche construction is sometimes described as a genuine evolutionary process whereby organisms, through their activities and regulatory mechanisms, modify their environment such as to steer their own evolutionary trajectory, and that of other species. There is ongoing debate, however, on the extent to which niche construction ought to be considered a bona fide evolutionary force, on a par with natural selection. Recent formulations of the variational free-energy principle as applied to the life sciences describe the (...) properties of living systems, and their selection in evolution, in terms of variational inference. We argue that niche construction can be described using a variational approach. We propose new arguments to support the niche construction perspective, and to extend the variational approach to niche construction to current perspectives in various scientific fields. (shrink)

Business Ethics, the Environment &Responsibility, EarlyView.

Edmund Husserl’s eidetic phenomenology seeks a priori knowledge of essences and eidetic laws pertaining to conscious experience and its objects. Husserl believes that such eidetic knowledge has a higher epistemic status than the inherently fallible empirical knowledge, but a closer reading of his work shows that even eidetic claims are subject to error and open to modification. In this article, I develop a self-correcting account of Husserl’s method of eidetic variation, arguing that eidetic variation plays a critical role in both (...) challenging and improving upon the eidetic results in phenomenology. More specifically, I argue that the self-correcting account of eidetic variation 1) is consistent with Husserl’s own formulations of his eidetic methodology and epistemic principles; 2) captures the dual epistemic function of eidetic variation as means for both testing and intuitively validating eidetic claims; and 3) offers methodological support for contemporary attempts to integrate eidetic variation with non-eidetic methods and resources. To substantiate these claims, I first contrast the self-correcting account with the falsificationist interpretations of eidetic variation. Then, I turn to three applications of eidetic variation in order to examine how eidetic phenomenology could draw from real-life deviations, artificial variations, and critical–historical reflection. The goal is to lay the methodological groundwork for a self-correcting and integrative account of eidetic variation and illustrate its usefulness in research practice. (shrink)

The thermodynamic integral principle, equivalent to the Onsager theory of irreversible thermodynamics, is analyzed in detail for a purely dissipative system. Different reformulations of the principle are also given together with the derivation of the corresponding Euler—Lagrange equations. One of them, the dual field formulation, is of special interest: It is an exact variational principle in terms of the intensive parameters and their dual fields introduced in place of the thermodynamic current densities. Finally, the possibility of (...) deducing variational statements in terms of volume and surface dissipation functionals is discussed. (shrink)

With respect to human color categories, Steels & Belpaeme's (S&B's) simulations over-emphasize the possible influence of language. In humans, color processing is the result of a long evolutionary process in which categories developed without language. Common principles of color processing lead to similar color categories, but interindividual variation in color categories exists. Even color-deficiencies, causing large differences in color categories, remain inconspicuous in everyday life, thereby contradicting the hypothesis that language could play a role in color category formation.

Various equivalents and weakenings of the combinatorial principle $\diamond$ are considered. The paper contains both absolute results and consistency results. Also included is a new characterisation of the notion of a stationary subset of $\omega_1$.

It is argued that awareness of the distinction between dynamical and variational symmetries is crucial to understanding the significance of Noether's 1918 work. Specific attention is paid, by way of a number of striking examples, to Noether's first theorem, which establishes a correlation between dynamical symmetries and conservation principles.

The primary function of the Platonic dialogue is not the communication of philosophical doctrines but the transformation of the reader's character. This article takes up the question of how, or by what means, the Platonic dialogue accomplishes its transformative goal. An answer is developed as follows. First, the style of reading associated with analytical philosophy is not transformative, on account of its hermeneutical attachment and epistemic equality in the relationship between reader and author. Secondly, the style of reading associated with (...) the genre of commentary is transformative because it is governed by a principle of authority. When the commentary model is applied to the Platonic dialogue, it can be seen that the dialogue mimics the function of the authority principle in transforming the reader into a commentator, that is, someone who reads from a position of detachment and accepts responsibility for himself as moral and epistemic agent. (shrink)

Despite the importance of the variational principles of physics, there have been relatively few attempts to consider them for a realistic framework. In addition to the old teleological question, this paper continues the recent discussion regarding the modal involvement of the principle of least action and its relations with the Humean view of the laws of nature. The reality of possible paths in the principle of least action is examined from the perspectives of the contemporary metaphysics of (...) modality and Leibniz's concept of essences or possibles striving for existence. I elaborate a modal interpretation of the principle of least action that replaces a classical representation of a system's motion along a single history in the actual modality by simultaneous motions along an infinite set of all possible histories in the possible modality. This model is based on an intuition that deep ontological connections exist between the possible paths in the principle of least action and possible quantum histories in the Feynman path integral. I interpret the action as a physical measure of the essence of every possible history. Therefore only one actual history has the highest degree of the essence and minimal action. To address the issue of necessity, I assume that the principle of least action has a general physical necessity and lies between the laws of motion with a limited physical necessity and certain laws with a metaphysical necessity. (shrink)

I argue that moral principles involve the same sort of generalization as ordinary yet elusive generic generalizations in natural language such as ‘Tigers are striped’ or ‘Peppers are spicy’. A notable advantage of the generic view is that it simultaneously allows for pessimism and optimism about the role and status of moral principles in our lives. It provides a new perspective on the nature of moral principles on which principles are not apt for determining the moral status of particular actions (...) while they may be apt, and even fundamental, to our acquisition of moral knowledge. A natural consequence of the view is variation among moral principles, with some regularly warranting exceptions and some appearing arguably exceptionless. I will also argue that this generic conception of moral principles has significant advantages, as a normative model of moral reasoning, over the view of moral principles as defaults advanced in recent years. (shrink)

General principles of human cognition can help to explain why languages are more likely to have certain characteristics than others: structures that are difficult to process or produce will tend to be lost over time. One aspect of cognition that is implicated in language use is working memory—the component of short‐term memory used for temporary storage and manipulation of information. In this study, we consider the relationship between working memory and regularization of linguistic variation. Regularization is a well‐documented process whereby (...) languages become less variable (on some dimension) over time. This process has been argued to be driven by the behavior of individual language users, but the specific mechanism is not agreed upon. Here, we use an artificial language learning experiment to investigate whether limitations in working memory during either language learning or language production drive regularization behavior. We find that taxing working memory during production results in the loss of all types of variation, but the process by which random variation becomes more predictable is better explained by learning biases. A computational model offers a potential explanation for the production effect using a simple self‐priming mechanism. (shrink)

This is a critical review of the book Variational Approach to Gravity Field Theories - From Newton to Einstein and Beyond (2017), written by the Italian astrophysicist Alberto Vecchiato. In his work, Vecchiato shows that physics, as we know it, can be built up from simple mathematical models that become more complex step by step by gradually introducing new principles. The reader is invited to follow the steps that lead from classical physics to relativity and to understand how this (...) happens and why. Moreover, while presenting the variational approach to gravity field theories in a clear and elegant manner, Vecchiato shows a constant worry in leading the readers in such a way that they understand the relevance of what the author considers to be the most powerful technique and unifying concept of theoretical physics - and how it works. Each chapter is enriched with exercises, of which a step-by-step solution is offered, so that the reader can gain a real insight into the topic presented and follow the reading as fruitfully as possible. The most innovative aspect of the book, however, is not the rigorousness and the clarity of the treatment of the variational approach, but rather the point of view that Vecchiato keeps and that the reader is led to endorse too: physics is a human enterprise, prone to error and open to improvement, and not a complete and definite system of truths about our world. (shrink)

The processes underwriting the acquisition of culture remain unclear. How are shared habits, norms, and expectations learned and maintained with precision and reliability across large-scale sociocultural ensembles? Is there a unifying account of the mechanisms involved in the acquisition of culture? Notions such as “shared expectations,” the “selective patterning of attention and behaviour,” “cultural evolution,” “cultural inheritance,” and “implicit learning” are the main candidates to underpin a unifying account of cognition and the acquisition of culture; however, their interactions require greater (...) specification and clarification. In this article, we integrate these candidates using the variational (free-energy) approach to human cognition and culture in theoretical neuroscience. We describe the construction by humans of social niches that afford epistemic resources called cultural affordances. We argue that human agents learn the shared habits, norms, and expectations of their culture through immersive participation in patterned cultural practices that selectively pattern attention and behaviour. We call this process “thinking through other minds” (TTOM) – in effect, the process of inferring other agents’ expectations about the world and how to behave in social context. We argue that for humans, information from and about other people's expectations constitutes the primary domain of statistical regularities that humans leverage to predict and organize behaviour. The integrative model we offer has implications that can advance theories of cognition, enculturation, adaptation, and psychopathology. Crucially, this formal (variational) treatment seeks to resolve key debates in current cognitive science, such as the distinction between internalist and externalist accounts of theory of mind abilities and the more fundamental distinction between dynamical and representational accounts of enactivism. (shrink)

We show that the formulations of non-relativistic quantum mechanics can be derived from an extended least action principle. The principle can be considered as an extension of the least action principle from classical mechanics by factoring in two assumptions. First, the Planck constant defines the minimal amount of action a physical system needs to exhibit during its dynamics in order to be observable. Second, there is constant vacuum fluctuation along a classical trajectory. A novel method is introduced (...) to define the information metrics to measure additional observability due to vacuum fluctuations, which is then converted to an additional action through the first assumption. Applying the variational principle to minimize the total actions allows us to recover the basic quantum formulations including the uncertainty relation and the Schrödinger equation in the position representation. In the momentum representation, the same method can be applied to obtain the Schrödinger equation for a free particle while further investigation is still needed for a particle with an external potential. Furthermore, the principle brings in new results on two fronts. At the conceptual level, we find that the information metrics for vacuum fluctuations are responsible for the origin of the Bohm quantum potential. Even though the Bohm potential for a bipartite system is inseparable, the underlying vacuum fluctuations are local. Thus, inseparability of the Bohm potential does not justify a non-local causal relation between the two subsystems.responsible for manifesting entanglement effects without underlying physical interactions, implying that entanglement effects are non-causal. At the mathematical level, quantifying the information metrics for vacuum fluctuations using more general definitions of relative entropy results in a generalized Schrödinger equation that depends on the order of relative entropy. The extended least action principle is a new mathematical tool. It can be applied to derive other quantum formalisms such as quantum scalar field theory. (shrink)

Various equivalents and weakenings of the combinatorial principle $\diamond$ are considered. The paper contains both absolute results and consistency results. Also included is a new characterisation of the notion of a stationary subset of ω 1.

This book explores the cognitive constraints and principles of variation in structures of linguistic meaning across languages. It unifies cognitive-semantic representations with formal-semantic representations to make a unique contribution to the study of typological generalizations and universals in natural language semantics. This unified approach not only helps reveal why semantic structures have the observed variation they have, but also sheds light on the compelling cognitive and formal regularities and patterns in the variation of linguistic semantics. The book also advances the (...) general principles of a cognitively-oriented semantic typology. Lucid and topical, the book will be an indispensable resource for students and researchers of language typology, linguistics, cognitive linguistics, and semantics. It will also be of interest to theoretical linguists of both cognitivist and formalist schools. (shrink)

This book, combining integratively-revised previously-published papers with entirely new chapters, challenges and treats some major problems in Kant’s philosophy not by means of new interpretations but by suggesting some variations on Kantian themes. Such variations are, in fact, reconstructions made according to Kantian ideas and principles and yet cannot be extracted as such directly from his writings. The book also analyses Kant's philosophy from a new metaphysical angle, based on the original metaphysics of the author, called panenmentalism. It reconstructs some (...) missing links in Kant's philosophy, such as the idea of teleological time, which is vital for Kant's moral theory. Although these variations cannot be found literally in Kant’s works, they can be legitimately explicated, developed, and implied from them. Such is the case because these variations are strictly compatible with the details of the texts and the texts as wholes, and because they are systematically integrated. Their coherence supports their validation. The target audiences are graduate and PhD students as well as specialist researchers of Kant's philosophy. (shrink)

This book, combining integratively-revised previously-published papers with entirely new chapters, challenges and treats some major problems in Kant’s philosophy not by means of new interpretations but by suggesting some variations on Kantian themes. Such variations are, in fact, reconstructions made according to Kantian ideas and principles and yet cannot be extracted as such directly from his writings. The book also analyses Kant's philosophy from a new metaphysical angle, based on the original metaphysics of the author, called panenmentalism. It reconstructs some (...) missing links in Kant's philosophy, such as the idea of teleological time, which is vital for Kant's moral theory. Although these variations cannot be found literally in Kant’s works, they can be legitimately explicated, developed, and implied from them. Such is the case because these variations are strictly compatible with the details of the texts and the texts as wholes, and because they are systematically integrated. Their coherence supports their validation. The target audiences are graduate and PhD students as well as specialist researchers of Kant's philosophy. (shrink)

The importance of music for epinician, as for all other types of choral performance in Archaic and Classical Greece, has long been recognized, but the exiguousness of the evidence for the compositional principles behind such music, and for what these poems actually sounded like in performance, has limited scholarly enquiries. Examination of Pindar's texts themselves for evidence of his musical practices was for a long time dominated by extensive and often inconclusive debate about the relations between metres and modes. More (...) recently scholars have begun to explore Pindar's relations to contemporary developments in musical performance, and in doing so have opened up new questions about how music affected audiences as aesthetically and culturally significant in its own right, and how it interacted with the language of the text. This article will investigate the performance scenarios of two of Pindar's epinicians, arguing that in each case the poems contain indications of specific musical accompaniments, and use these scenarios as a starting point for engaging with wider interpretative questions. The self-referential dimension of these compositions will be of particular importance; I shall argue that Pindar deployed a type of musical intertextuality, in which his compositions draw on pre-existing melodic structures, utilizing their cultural associations for the purposes of his own pieces, a process crucial to the dynamics of performance of the poems concerned. By doing so I shall attempt to reach a better understanding of the roles played by music in epinician performance and of Pindar's place in relation to the musical culture in which he worked. (shrink)

neglected aspect: knowledge of error, or ‘‘negative’’ knowledge. The development of knowledge of what counts as error occurs via a kind of internal variation and selection, or quasi-evolutionary, process. Processes of reflection generate a hierarchy of principles of error.

When describing variation at the lexical level in sign languages, researchers often distinguish between phonological and lexical variants, using the following principle: if two signs differ in only one of the major phonological components, then they are considered phonological variants, otherwise they are considered separate lexemes. We demonstrate that this principle leads to contradictions in some simple and more complex cases of variation. We argue that it is useful to visualize the relations between variants as graphs, and we (...) describe possible networks of variants that can arise using this visualization tool. We further demonstrate that these scenarios in fact arise in the case of variation in color terms and kinship terms in Russian Sign Language, using a newly created database of lexical variation in RSL. We show that it is possible to develop a set of formal rules that can help distinguish phonological and lexical variation also in the problematic scenarios. However, we argue that it might be a mistake to dismiss the actual patterns of variant relations in order to arrive at the binary lexical vs. phonological variant opposition. (shrink)

In this pioneering study, a world-renowned generative syntactician explores the impact of phenomena known as 'third factors' on syntactic change. Generative syntax has in recent times incorporated third factors – factors not specific to the language faculty – into its framework, including minimal search, labelling, determinacy and economy. Van Gelderen's study applies these principles to language change, arguing that change is a cyclical process, and that third factor principles must combine with linguistic information to fully account for the cyclical development (...) of 'optimal' language structures. Third Factor Principles also account for language variation around that-trace phenomena, CP-deletion, and the presence of expletives and Verb-second. By linking insights from recent theoretical advances in generative syntax to phenomena from language variation and change, this book provides a unique perspective, making it essential reading for academic researchers and students in syntactic theory and historical linguistics. (shrink)

Background Ethics committees typically apply the common principles of autonomy, nonmaleficence, beneficence and justice to research proposals but with variable weighting and interpretation. This paper reports a comparison of ethical requirements in an international cross-cultural study and discusses their implications. Discussion The study was run concurrently in New Zealand, UK, Israel, Canada and USA and involved testing hypotheses about believability of testimonies regarding alleged child sexual abuse. Ethics committee requirements to conduct this study ranged from nil in Israel to considerable (...) amendments designed to minimise participant harm in New Zealand. Assessment of minimal risk is a complex and unreliable estimation further compounded by insufficient information on probabilities of particular individuals suffering harm. Estimating potential benefits/ risks ratio and protecting participants' autonomy similarly are not straightforward exercises. Summary Safeguarding moral/humane principles should be balanced with promotion of ethical research which does not impede research posing minimal risk to participants. In ensuring that ethical standards are met and research has scientific merit, ethics committees have obligations to participants (to meet their rights and protect them from harm); to society (to ensure good quality research is conducted); and to researchers (to treat their proposals with just consideration and respect). To facilitate meeting all these obligations, the preferable focus should be promotion of ethical research, rather than the prevention of unethical research, which inevitably results in the impediment of researchers from doing their work. How the ethical principles should be applied and balanced requires further consideration. (shrink)

Scientists need that scientific descriptions meet request methodological principles. Science knowledge is independent. Methodological principles guarantee autonomic regime of scientific investigations. Methodological principles are requirements the process of descriptive knowledge receiving as result of methodological analysis on best samples of scientific investigations, or methodological standards in history of science. There are mane principles in methodology of science: autonomic scientific investigation, competence, objectivity, expedience, systemness, verification, coherence, unity of methods, integration, differentiation, many-variation of formulizations, modernizations, diversity of chosen types of descriptions, (...) two logical meanings – truthfulness and falseness. (shrink)

Synthetic biology offers a powerful method to design and construct biological devices for human purposes. Two prominent design methodologies are currently used. Rational design adapts the design methodology of traditional engineering sciences, such as mechanical engineering. Directed evolution, in contrast, models its design principles after natural evolution, as it attempts to design and improve systems by guiding them to evolve in a certain direction. Previous work has argued that the primary difference between these two is the way they treat variation: (...) rational design attempts to suppress it, whilst direct evolution utilizes variation. I argue that this contrast is too simplistic, as it fails to distinguish different types of variation and different phases of design in synthetic biology. I outline three types of variation and show how they influence the construction of synthetic biological systems during the design process. Viewing the two design approaches with these more fine-grained distinctions provides a better understanding of the methodological differences and respective benefits of rational design and directed evolution, and clarifies the constraints and choices that the different design approaches must deal with. (shrink)

The present paper investigates why logical empiricists remained silent about one of the most philosophy-laden matters of theoretical physics of their day, the principle of least action (PLA). In the two decades around 1900, the PLA enjoyed a remarkable renaissance as a formal unification of mechanics, electrodynamics, thermodynamics, and relativity theory. Taking Ernst Mach's historico-critical stance, it could be liberated from much of its physico-theological dross. Variational calculus, the mathematical discipline on which the PLA was based, obtained a (...) new rigorous basis. These three developments prompted Max Planck to consider the PLA as formal embodiment of his convergent realist methodology. Typically rejecting ontological reductionism, David Hilbert took the PLA as the key concept in his axiomatizations of physical theories. It served one of the main goals of the axiomatic method: ''deepening the foundations.'' Although Moritz Schlick was a student of Planck's, and Hans Hahn and Philipp Frank enjoyed close ties to Gottingen, the PLA became a veritable Shibboleth to them. Rather than being worried by its historical connections with teleology and determinism, they erroneously identified Hilbert's axiomatic method tout court with Planck's metaphysical realism. Logical empiricists' strict containment policy against metaphysics required so strict a separation between physics and mathematics to exclude even those features of the PLA and the axiomatic method not tainted with metaphysics. (shrink)

Cognitive Science, Volume 45, Issue 11, November 2021.

The liberal and democratic political order is underpinned by universal principles of justice. However, the universality of these principles is now being questioned and undermined by challenges from postmodernism, communitarianism, multiculturalism and other forms of anti-foundationalism. These challenges highlight the sheer diversity of cultures and values, treating liberal values and democratic political culture as one idea of social organization amongst many. While social and political orders are capable of almost endless variation, it may be that not every diverse order is (...) legitimate and we can justifiably regard some forms of social organization as beyond the pale and a 'thin' form of universalism has been developed to support this contention. The core idea behind 'thin universalism' is that it is possible to rehabilitate the universalist aspirations of normative theory while acknowledging the force of many antifoundationalist and multiculturalist criticisms of universalism. This book brings together prominent international political theorists to explain and discuss this contested concept and explore how we can stand up for and act upon principles in a world characterized by cultural difference, moral skepticism, and political division. The authors present a variety of perspectives: some chapters are sympathetic to the idea of a thin universalist account of justification, some are reluctant advocates and others are skeptical about its success or even desirability. Opening out core debates in contemporary normative theory, this volume will be of great interest to researchers and scholars working in the fields of contemporary political theory, political philosophy and IR theory. (shrink)