We formulate a polarized version of Ramsey’s theorem for trees. For those exponents greater than 2, both the reverse mathematics and the computability theory associated with this theorem parallel that of its linear analog. For pairs, the situation is more complex. In particular, there are many reasonable notions of stability in the tree setting, complicating the analysis of the related results.
For $X \subseteq \omega$ , let $\lbrack X \rbrack^n$ denote the class of all n-element subsets of X. An infinite set $A \subseteq \omega$ is called n-r-cohesive if for each computable function $f: \lbrack \omega \rbrack^n \rightarrow \lbrace 0, 1 \rbrace$ there is a finite set F such that f is constant on $\lbrack A - F \rbrack^n$ . We show that for each n ≥ 2 there is no $\prod_n^0$ set $A \subseteq \omega$ which is n-r-cohesive. For n = (...) 2 this refutes a result previously claimed by the authors, and for n ≥ 3 it answers a question raised by the authors. (shrink)
It is shown that for each computably enumerable set P of n-element subsets of ω there is an infinite Π 0 n set $A \subseteq \omega$ such that either all n-element subsets of A are in P or no n-element subsets of A are in P. An analogous result is obtained with the requirement that A be Π 0 n replaced by the requirement that the jump of A be computable from 0 (n) . These results are best possible in (...) various senses. (shrink)
Attitudes toward sow husbandry differ between citizens and conventional pig farmers. Research showed that moral values could only predict the judgment of people in case of culling healthy animals in the course of a disease epidemic to a certain extent. Therefore, we hypothesized that attitudes of citizens and pig farmers cannot be predicted one-on-one by moral values. Furthermore, we were interested in getting insight in whether moral values can be useful in bridging the gap between attitudes toward sow husbandry of (...) citizens and pig farmers. Based on a questionnaire, it was found that pig farmers and citizens, when considered as one group, shared the valuation of most moral values. However, when studying the four clusters of citizens with different attitudes toward sow husbandry, determined in a previous study, a variation in valuation of the moral values between the clusters of citizens and farmers came to the fore. This means that moral values are interpreted differently by groups of people when forming attitudes toward sow husbandry. The results of our study give an indication of which moral values are weighed differently between clusters of citizens and pig farmers. This information can be useful in future research on attitudes toward animal husbandry in order to understand why attitudes differ between groups of people. Besides, our results can be useful for the pig sector and citizens to learn to understand each other’s attitudes. With this understanding it is possible to invest in a husbandry system that can build on societal support. (shrink)
J. L. Schellenberg’s Philosophy of Religion argues for a specific brand of sceptical religion that takes ‘Ultimism’ – the proposition that there is a metaphysically, axiologically, and soteriologically ultimate reality – to be the object to which the sceptical religionist should assent. In this article I shall argue that Ietsism – the proposition that there is merely something transcendental worth committing ourselves to religiously – is a preferable object of assent. This is for two primary reasons. First, Ietsism is far (...) more modest than Ultimism; Ietsism, in fact, is open to the truth of Ultimism, while the converse does not hold. Second, Ietsism can fulfil the same criteria that compel Schellenberg to argue for Ultimism. (shrink)
In Heidegger’s Being and Time certain concepts are discussed which are central to the ontological constitution of Dasein. This paper demonstrates the interesting manner in which some of these concepts can be used in a reading of T.S. Eliot’s The Love Song of J. Alfred Prufrock. A comparative analysis is performed, explicating the relevant Heideggerian terms and then relating them to Eliot’s poem. In this way strong parallels are revealed between the two men’s respective thoughts and distinct modernist sensibilities. Prufrock, (...) the protagonist of the poem, and the world he inhabits illustrate poetically concepts such as authenticity, inauthenticity, the ‘they’, idle talk and angst, which Heidegger develops in Being and Time. (shrink)
Despite their centrality and importance to both science and philosophy, relatively little has been written about thought experiments. This volume brings together a series of extremely interesting studies of the history, mechanics, and applications of this important intellectual resource. A distinguished list of philosophers and scientists consider the role of thought experiments in their various disciplines, and argue that an examination of thought experimentation goes to the heart of both science and philosophy.
In his new book, "The Romantic Conception of Life: Science and Philosophy in the Age of Goethe," Robert J. Richards argues that Charles Darwin's true evolutionary roots lie in the German Romantic biology that flourished around the beginning of the nineteenth century. It is argued that Richards is quite wrong in this claim and that Darwin's roots are in the British society within which he was born, educated, and lived.
This paper is a detailed examination of some parts of J. P. Moreland's book on "the argument from consciousness". (There is a companion article that discusses the parts of the book not taken up in this critical notice.).
This paper seeks to reinterpret the life and work of J. B. S. Haldane by focusing on an illuminating but largely ignored essay he published in 1927, "The Last Judgment" -- the sequel to his better known work, "Daedalus" (1924). This astonishing essay expresses a vision of the human future over the next 40,000,000 years, one that revises and updates Wellsian futurism with the long range implications of the "new biology" for human destiny. That vision served as a kind of (...) lifelong credo, one that infused and informed his diverse scientific work, political activities, and popular writing, and that gave unity and coherence to his remarkable career. (shrink)
In the same year, 1961, Peter D. Mitchell and Robert R.J.P. Williams both put forward hypotheses for the mechanism of oxidative phosphorylation in mitochondria and photophosphorylation in chloroplasts. Mitchell's proposal was ultimately adopted and became known as the chemiosmotic theory. Both hypotheses were based on protons and differed markedly from the then prevailing chemical theory originally proposed by E.C. Slater in 1953, which by 1961 was failing to account for a number of experimental observations. Immediately following the publication of Williams (...) 's hypothesis and before his own was published, Mitchell initiated a correspondence. Examination of the letters shows the development of a dispute based on the validity of the proposals, who should have priority and particularly whether Mitchell had drawn on Williams 's work without acknowledgement. We have concluded that Mitchell's proposals were original although it is evident that prior to the correspondence Williams had considered and rejected a proposition similar to Mitchell's theory. However, a major cause of the dispute was the difference in disciplinary backgrounds of Mitchell, a microbial biochemist and Williams, a chemist. (shrink)
A. J. Ayer, who died in 1989, was acknowledged as one of Britain's most distinguished philosophers. In this memorial collection of essays leading Western philosophers reflect on Ayer's place in the history of philosophy and explore aspects of his thought and teaching. The volume also includes a posthumous essay by Ayer himself: 'A defence of empiricism'. These essays are undoubtedly a fitting tribute to a major figure, but the collection is not simply retrospective; rather it looks forward to present and (...) future developments in philosophical thought that Ayer's work has stimulated. (shrink)
J. H. Lambert proved important results of what we now think of as non-Euclidean geometries, and gave examples of surfaces satisfying their theorems. I use his philosophical views to explain why he did not think the certainty of Euclidean geometry was threatened by the development of what we regard as alternatives to it. Lambert holds that theories other than Euclid’s fall prey to skeptical doubt. So despite their satisfiability, for him these theories are not equal to Euclid’s in justification. Contrary (...) to recent interpretations, then, Lambert does not conceive of mathematical justification as semantic. According to Lambert, Euclid overcomes doubt by means of postulates. Euclid’s theory thus owes its justification not to the existence of the surfaces that satisfy it, but to the postulates according to which these “models” are constructed. To understand Lambert’s view of postulates and the doubt they answer, I examine his criticism of Christian Wolff’s views. I argue that Lambert’s view reflects insight into traditional mathematical practice and has value as a foil for contemporary, model-theoretic, views of justification. (shrink)
Reasoning es una obra monumental de más de mil páginas editada en estrecha colaboración por el filósofo Jonathan E. Adler y el psicólogo Lance J. Rips para esclarecer el intrincado campo de investigación relacionado con los fundamentos de la inferencia y, en general, del razonamiento humano. En la actualidad, en pocos casos va unido el trabajo de compilar y editar textos científicos con el afán enciclopédico: un proyecto editorial que sobrepasa con razón los objetivos de la mayor parte de los (...) libros editados para la recopilación de artículos en torno a un mismo tema de investigación. Reasoning supone un empeño de características enciclopédicas: ha conseguido convertirse en una referencia obligada desde que saliera a la luz en 2008 para ofrecer al lector especialista artículos científicos de las más reputadas y consolidadas voces en aquellos campos de conocimiento presentes ya en los proyectos enciclopédicos europeos del siglo de las luces, a saber: el significado del racionalismo, los límites imputables a la naturaleza del conocimiento humano, las paradojas presentes en la inducción, etc. (shrink)
Drawing upon Nel Noddings’ contention that, if children are to be happy in schools, their teachers should also be happy, this paper tries to explore a way in which the obviously intimate but seemingly conflicting connections between students’ and teachers’ happiness can be understood from the viewpoint of Stanley Cavell’s reading of J. S. Mill. Mill’s conceptions of desire and pleasure are examined as a means of liberating the above connection from existing prioritization: that is, teachers’ or students’ happiness comes (...) first. The pursuit of happiness for both teachers and students is discussed, in the hopes of illuminating alternative images of teacher education. (shrink)
The “explicable original sin of all experience”. Critique and metaphysics of knowledge by J.F. Herbart. The Author claims that, in the system of Johann Friedrich Herbart (1776-1841), multiple foundation relationships between psychology and metaphysics interweave as a result of the intermediate position assigned to the human being within the methodological framework. To highlight the quest for objectivity in his general and applied metaphysics, its overall structures are analysed on several levels: the problematic assumption of external and internal data; formality of (...) knowledge; essences and events in realistic ontology; and the connection between events and objective appearance, which is further specified in scientific psychology. The condition of individual observers amidst manifold essences proves to be decisive in linking ontology and experience. Yet Herbart’s metaphysics is intended to rearrange and develop Kant’s critical philosophy: it is argued that the establishment of scientific psychology is aimed at legitimating objectivity and that Herbart’s metaphysical foundation of knowledge also relies on the definition of the subject as a blank position. (shrink)
This is a response to Wesley J. Wildman’s “Behind, Between, and Beyond Anthropomorphic Models of Ultimate Reality.” While I agree with much of what Wildman writes, I raise questions concerning standards for evaluating models of ultimate reality and the plausibility of ranking such models. This paper was delivered during the APA Pacific 2007 Mini-Conference on Models of God.
This paper gives an account of the debate between F.A. Hayek and J.M. Keynes in the 1930s written for the general public. The purpose of this is twofold. First, to provide the general reader with a narrative of what happened, … More ›.
This paper explores the relationships between Christianity, Englishness, and ideas about the southern English landscape in the writings of the 1930s and 1940s rural commentator, H.J. Massingham. The paper begins by looking in general terms at the conjunction of religious and national identities in the context of national landscapes before moving on to consider in more detail one particular instance of this in the writing of H.J. Massingham. Massingham's understanding of a divine natural order, his construction of a kind of (...) 'divine Englishness' and the way in which he relates this to particular English landscapes is explored. In particular, the paper investigates the natural, social and political power relationships which are embedded in Massingham's work, and suggests that his writing provides an interesting example of one way in which theological reasoning can reflect and reinforce concepts of a naturally ordered national identity. (shrink)