Studies in philosophy: I. Tufts, J.H. On moral evolution. II. Willcos, W.F. The expansion of Europe in its influence upon population. III. Woods, R.A. Democracy a new unfolding of human power. IV. Sharp, F.C. An analysis of the moral judgment. V. Woodbridge, F.J.E. The problem of consciousness. VI. Norton, E.L. The intellectual element in music. VII. Raub, W.L. Pragmatism and Kantianism. VIII. Lyman, E.W. The influence of pragmatism upon the status of theology.--Studies in psychology: IX. Delabarre, E.B. Influence of (...) surrounding objects on the apparent direction of a line. X. Swift, E.J. Beginning a language; a contribution to the psychology of learning. XI. Pierce, A.H. An appeal from the prevailing doctrine of a detached subconsciousness. XII. Woodworth, R.S. The cause of a voluntary movement. XIII. Burnett, C.T. An experimental test of the classical theory of volition. (shrink)

It is known that for two given countable sets of unary relations A and B on ω there exists an infinite set H ⫅ ω on which A and B are the same. This result can be used to generate counterexamples in expressibility theory. We examine the sharpness of this result.

The separability thesis claims that the concept of law can be explicated independently of morality, the normativity thesis, that it can be explicated independently of fact. Continental normativism, prominent above all in the work of Hans Kelsen, may be characterized in terms of the coupling of these theses. Like Kelsen, H. L. A. Hart is a proponent of the separability thesis. And–a leitmotiv–both theorists reject reductive legal positivism. They do not, however, reject it for the same reasons. Kelsen's reason, in (...) a word, is the normativity thesis. Hart, however, grounds his theory in social fact. In place of the reductive thesis of the legal positivist tradition, and in sharp contrast to Kelsen's normativity thesis, Hart defends a non‐reductive version of what the author terms the facticity thesis. (shrink)

Here find four chapters as the first publication of the Woodbridge Lectures and Kant Lectures ; chapters 5 and 6, "On the Biological Basis of Language Capacities" and "Language and Unconscious Knowledge," have, substantively, appeared as parts of other books. This is an excellent book for philosophers, almost wholly given to theoretical-philosophical issues. A complementary process to the one William James outlined respecting the reception of a new idea is that the purveyor of the new idea, stung by dismissive and (...) misleading rejection and acceptance, eventually ascribes his opponent’s characterization of his own position to them. This is Chomsky’s attack on his opponent’s anti-scientific, anti-realist, speciesist, methodological, and mystical dualism. And Descartes is hardly championed. Scientific linguistics and psychology study the species-specific, componentialized, innately and biologically structured, largely unconscious and introspectively inaccessible, cognitive organs. H. Putnam’s new Kantianism is pummeled, as is Dummett’s anti-realism. The logical behaviorist-ordinary language critics are reproved, and it is curious how quaint the Wittgensteinian style impossibility-of-psychology-and-there-is-nothing-to-explain razzmatazz now seems. This is a compact, sharp, and coherent expression of themes explicit or implicit in Chomsky’s earliest work, and one not likely to be wholly pleasant to those joyed by what he was saying in the late 1960s. Whatever one’s persuasion, it also suggests that Chomsky has tried to respond to his myriad philosophical opponents comprehensively, in depth, and in detail—virtues which many of them seem shockingly unwilling to extend to him., never having read any other work of Chomsky’s or other linguists. On being shown that his paper was straight irrelevant to more than a decade of active work in linguistic theory, he seemed to take it that this suggested the moral and intellectual bankruptcy of Noam Chomsky and linguistic science.)—J.L. (shrink)

Here, an epidemiological model considering pro and anti-vaccination groups is proposed and analyzed. In this model, susceptible individuals can migrate between these two groups due to the influence of false and true news about safety and efficacy of vaccines. From this model, written as a set of three ordinary differential equations, analytical expressions for the disease-free steady state, the endemic steady state, and the basic reproduction number are derived. It is analytically shown that low vaccination rate and no influx to (...) the pro-vaccination group have similar impacts on the long-term amount of infected individuals. Numerical simulations are performed with parameter values of the COVID-19 pandemic to illustrate the analytical results. The possible relevance of this work is discussed from a public health perspective. (shrink)

We show that arbitrary tautologies of Johansson’s minimal propositional logic are provable by “small” polynomial-size dag-like natural deductions in Prawitz’s system for minimal propositional logic. These “small” deductions arise from standard “large” tree-like inputs by horizontal dag-like compression that is obtained by merging distinct nodes labeled with identical formulas occurring in horizontal sections of deductions involved. The underlying geometric idea: if the height, h(∂), and the total number of distinct formulas, ϕ(∂), of a given tree-like deduction ∂ of a minimal (...) tautology ρ are both polynomial in the length of ρ, |ρ|, then the size of the horizontal dag-like compression ∂ᶜ is at most h(∂)×ϕ(∂), and hence polynomial in |ρ|. That minimal tautologies ρ are provable by tree-like natural deductions ∂ with |ρ|-polynomial h(∂) and ϕ(∂) follows via embedding from Hudelmaier’s result that there are analogous sequent calculus deductions of sequent ⇒ρ. The notion of dag-like provability involved is more sophisticated than Prawitz’s tree-like one and its complexity is not clear yet. Our approach nevertheless provides a convergent sequence of NP lower approximations of PSPACE-complete validity of minimal logic. (shrink)

Currently living people cannot be said to be wronged because of the wrongless emissons of greenhouse gases by past people. According to the usual subjunctive-historical understanding of harm, currently living people cannot be said to be harmed by the impact of greenhouse emissions on their well-being. By relying on a subjunctive-threshold notion of harm we can justify conclusions about both the present generation’s duties not to violate the rights of future generations, and the present generation’s duties to compensate currently living (...) people for the harms inflicted upon them through the lasting impact of wrongless past harms. This interpretation supports a forward-looking understanding of the grounds of our relating to wrongless past harms. The significance of past harms lies in their consequences for the well-being of currently living and future people. The subjunctive-threshold notion of harm lends support to a standard of minimal, general, and universal justice. Those actors who are in a position to fulfill its requirements are under a duty to do so. Especially the rich and powerful countries ought to counteract the harmful impact of past greenhouse emissions. (shrink)

Context: Second-order cybernetics and its implications have been understood within the cybernetics community for some time. These implications are important for understanding the structure of scientific endeavor, and for researchers in other fields to see the reflexive nature of scientific research. This article is about the role of context in the creation and exploration of our experience. Problem: The purpose of this article is to point out the fundamental nature of the circularity in cybernetics and in scientific work in general. (...) I give a point of view on the nature of objective knowledge by placing it in the context of reflexivity and eigenform. Method: The approach to the topic is based on logical analysis of the nature of circularity. Mathematics and cybernetics are both fundamentally concerned with the structure of distinctions, but there can be no definition of a distinction without circularity, since such a definition would itself be a distinction. The article proceeds by explicating the structure of reflexive domains D where the transformations of the domain are in one-to-one correspondence with the domain itself. Results: I show that every element of a reflexive domain has a fixed point. This means that eigenforms arise naturally in reflexive domains. Furthermore, a reflexive domain is itself an eigenform (at a higher level. This supports the context of a second-order science that would study domains of science as part of a larger cybernetic landscape. Implications: The value of the article is in its concise reformulation of the scientific endeavor as a search for eigenforms in reflexive domains. This new view of science is promising in that it includes the former worlds of apparent objectivity and it embraces those newer worlds of science where the theories and theorists become active participants in the ongoing process of creating knowledge. Constructivist content: I argue that the perspective of reflexive domains constitutes a new way to think about the practice of science, with observers deeply imbedded, and objectivity understood as the mutual search for eigenforms. (shrink)

Upshot: Eigenform is a precondition for distinction and distinction is a precondition for eigenform. While my target article discussed eigenform and reflexivity, it could just as well have discussed distinctions and the emergence of distinctions. This theme was implicit in many of the comments. We make this circularity explicit for the sake of a deeper understanding.

Open peer commentary on the article “The Circular Conditions of Second-order Science Sporadically Illustrated with Agent-based Experiments at the Roots of Observation” by Manfred Füllsack. Upshot: The aim of my commentary is to reflect on fundamental issues related to circularity, distinction and the properties of observers.

Let the individuals of a population be divided into two groups with different personal habits. The core group is associated with health risk behaviors; the non-core group avoids unhealthy activities. Assume that the infected individuals of the core group can spread a contagious disease to the whole population. Also, assume that cure does not confer immunity. Here, an epidemiological model written as a set of ordinary differential equations is proposed to investigate the infection propagation in this population. In the model, (...) migrations between these two groups are allowed; however, the transitions from the non-core group into the core group prevail. These migrations can be either spontaneous or stimulated by social pressure. It is analytically shown that, in the scenario of spontaneous migration, the disease is either naturally eradicated or chronically persists at a constant level. In the scenario of stimulated migration, in addition to eradication and constant persistence, self-sustained oscillations in the number of sick individuals can also be found. These analytical results are illustrated by numerical simulations and discussed from a public health perspective. (shrink)

OBJECTIVES: To determine the epidemiology and the underlying pathological conditions of natural deaths among motor vehicle drivers. Sudden death while driving may cause damage to properties, other vehicles or road users. Although the Medical Commission on Accident Prevention recommended restrictions to drivers at risk of sudden death due to their medical conditions, these restrictions are useless if they do not result in greater safety to the public. DESIGN: A retrospective study of natural deaths of motor vehicle drivers. SETTING: Natural deaths (...) of motor vehicle drivers reported to the coroner for Birmingham and Solihull. SUBJECTS: 86 consecutive natural deaths of motor vehicle drivers in a five-year period between 1984 and 1988. RESULTS: Of the 86 fatalities reviewed, 80 (93%) sudden deaths were caused by ischaemic heart disease. Fifty vehicles were involved in collision with 32 properties, 20 other vehicles and six pedestrians. Fifty-one out of 80 cardiac deaths had past cardiac history and three had reported chest pain prior to the sudden death. CONCLUSION: An applied normative ethical assessment based on the basic moral principles of autonomy, justice, beneficence and non-maleficence are discussed. We conclude that medical screening of drivers has little benefit for the drivers or other persons. (shrink)

The relationship between the United Kingdom and the United States seems to embody most fully the type of the ‘special relationship’ today. It is a relationship founded ultimately on biological kinship, structured by mutual economic and strategic interests and cemented by a sense of political and ‘spiritual’ affinity. At least the broad contours of such contemporary ‘special relationships’ are sufficiently clear. This is far from being the case with those of the Archaic and Classical Greek world, for two main reasons. (...) First, and more decisively, our sources for the history of that world – literary, epigraphical, archaeological – are normally scrappy, discontinuous and variously slanted. Second, and only in part because of the nature of the evidence, the workings of all ancient Greek interstate relationships, whether ‘special’ or not, are in principle controversial. For in the absence of governments and parties in the modern sense it is frequently impossible to explain confidently a particular foreign policy decision taken by a Greek state. A fortiori it is in principle even more difficult to describe and account for ‘special’ relationships between states that apparently transcended purely immediate, local and narrowly self-interested considerations. (shrink)

Reasoning, reading and language arts program designed to help children develop cognitive skills in a sequenced yet cumulative manner.

We examine the reverse mathematics and computability theory of a form of Ramsey's theorem in which the linear n-tuples of a binary tree are colored.