This article presents a weak system of intuitionistic second-order arithmetic, WKV, a subsystem of the one in S.C. Kleene, R.E. Vesley [The Foundations of Intuitionistic Mathematics: Especially in Relation to Recursive Functions, North-Holland Publishing Company, Amsterdam, 1965]. It is then shown that some statements of real analysis, like a version of the Heine–Borel Theorem, and some statements of logic, e.g. compactness of classical proposition calculus, are equivalent to the Fan Theorem in this system.

The work is aimed at interpreting text and paintings in D. Rubina and B. Karafelov’s book ‘Okna‘. The authors of the article conduct an analysis of episodes with pictorial ecphrasis in the stories from the book and an iconographic analysis of paintings inside the stories. The chosen topic is actual, because it provides an alternative way to solve a problem of word and image relations in the text. The article is aimed at the search for new methods to reflect a (...) protagonist’s character. In this context, the authors of the article compare images in D. Rubina’s texts with B. Karafelov’s paintings, analyze the symbiotical connection of pictorial ecphrasis and reproductions of paintings. The most of the stories are autobiographical what makes them representative in terms of transferring the narrator’s position through the pictorial ecphrasis. In that book, paintings are not just illustrations and not visualization of ecphrasis. Pictures were introduced into the text of novels for presenting main motives and enriching stories by new images and meanings, which could not be represented by text. Colors of paintings are accentuated by color-designation words and are converged to tonality of text. Thereby a reader can interact with a writer and a painter simultaneously. After analyzing of text and pictures, the authors of the article made a conclusion about efficiency of word and picture synthesis for disclosure of the same themes in multiple artistic planes. (shrink)

It is shown that for compact metric spaces the following statements are pairwise equivalent: “X is Loeb”, “X is separable”, “X has a we ordered dense subset”, “X is second countable”, and “X has a dense set G = ∪{Gn : n ∈ ω}, ∣Gn∣ < ω, with limn→∞ diam = 0”. Further, it is shown that the statement: “Compact metric spaces are weakly Loeb” is not provable in ZF0 , the Zermelo-Fraenkel set theory without the axiom of (...) regularity, and that the countable axiom of choice for families of finite sets CACfin does not imply the statement “Compact metric spaces are separable”. (shrink)

G.E. Moore, more than either Bertrand Russell or Ludwig Wittgenstein, was chiefly responsible for the rise of the analytic method in twentieth-century philosophy. This selection of his writings shows Moore at his very best. The classic essays are crucial to major philosophical debates that still resonate today. Amongst those included are: * A Defense of Common Sense * Certainty * Sense-Data * External and Internal Relations * Hume's Theory Explained * Is Existence a Predicate? * Proof of an External World (...) In addition, this collection also contains the key early papers in which Moore signals his break with idealism, and three important previously unpublished papers from his later work which illustrate his relationship with Wittgenstein. (shrink)

_Zettel, _ an en face bilingual edition, collects fragments from Wittgenstein's work between 1929 and 1948 on issues of the mind, mathematics, and language.

This is a welcome reprint of a book that continues to grow in importance.

Excerpt from Genetic Philosophy of Education: An Epitome of the Published Educational Writings, of President G Stanley Hall, of Clark University All must admit that there is a lack at the present time, at least among the rank and file of teachers, and in the public mind generally, of any adequate philoso phy of education, or even Of a point of view from which the themes of school and home can be dis cussed broadly and intelligently. The older philoso phies (...) of F roebel, Hegel, and Herbart are certainly in sufficient to meet present needs, and especially in the training of teachers is this painfully felt. They are not only obscure, and little inspiring, either Of breadth of thought or intelligent practice but they fail en tirely to connect with the teacher 3 daily life, unless they be taught in a very shallow and formal way. 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)

In 2005 St Andrews Studies published a volume of essays by Anscombe entitled Human Life, Action and Ethics, followed in 2008 by a second with the title Faith in a Hard Ground. Both books were highly praised. This third volume brings essays on the thought of historical philosophers in which Anscombe engages directly with their ideas and arguments. Many are published here for the first time and the collection provides further testimony to Anscombe's insight and intellectual imagination.

The distinction between students diagnosed with a learning disability and those considered merely slow learners is based on conceptually flawed assumptions that: 1) LD represents a brain dysfunction while SL does not; 2) LD is a well-defined disorder; 3) valid measurement instruments distinguish LD and SL; 4) special education for students with LD is fundamentally different from that for SL students. These erroneous beliefs are maintained because governmental legislation transformed a diagnosis of LD into an admission ticket to a variety (...) of government entitlements thereby subjecting it to political, legal, social and ideological forces. (shrink)

The author presents and defends three theses: (1) "the first is that it is not profitable for us at present to do moral philosophy; that should be laid aside at any rate until we have an adequate philosophy of psychology." (2) "the second is that the concepts of obligation, And duty... And of what is morally right and wrong, And of the moral sense of 'ought', Ought to be jettisoned if this is psychologically possible...." (3) "the third thesis is that (...) the differences between the well-Known english writers on moral philosophy from sidgwick to the present day are of little importance." (staff). (shrink)

G. E. L. Owen; XVI—Gilbert Ryle, Proceedings of the Aristotelian Society, Volume 77, Issue 1, 1 June 1977, Pages 265–270, https://doi.org/10.1093/aristotelian/7.

Pearson points to the radical questioning of the traditional Greek ethic, which is found in the classical dramatic literature of fifth century Athens, as an example of popular ethics. The philosophic discussion of the Socratic-Platonic tradition supplanted this popular ethics in the fourth century. Many of the problems discussed in the philosophic literature were taken over as developed and articulated by the classical dramatists. Thus, three ethical traditions are described and related in this book: the "traditional" ethics coming from Homer, (...) Hesiod, and Solon, the "popular" ethics of the classical dramatists, and the technical "philosophic" ethics of Plato. The main effort of the book is to discuss the popular ethics as related to both the traditional and philosophic ethics The student of the Platonic dialogues will find the book of great value in identifying the various positions represented by the dramatis personae of the dialogues.--W. G. E. (shrink)

In its original form this was Bonhoeffer's first work, presented as a theological dissertation when the author was only twenty-one. It has been very influential on proponents of "religionless Christianity" among the Continental theologians. The argument is compressed and often elliptical, exceedingly difficult to grasp. Bonhoeffer follows Tonnies' distinction between society and community, holding that the religious community is a community of will which admits no end outside itself, but whose telos, God, is its boundary. It is a structure of (...) meaning rather than a structure of purpose, uniting persons in an I-Thou relationship in which they assume the relative independence of a Leibnitzian monad. The book is magnificent; the translation unobtrusive and long overdue.—W. G. E. (shrink)

In this final chapter, Moore rebuts egoism and upholds the view that it is always our duty to perform that action, of the various ones open to us, the total consequences of which will have the greatest intrinsic value. He criticizes the hedonistic doctrine that one whole is intrinsically better than another when, and only when, it contains more pleasure. He rejects not only the idea that intrinsic value is proportional to pleasure, but also that it is proportional to any (...) other single factor. He concludes by distinguishing different senses in which a thing can be good or bad. (shrink)

What are we to make of statements that jaguars see themselves as humans, or of doubts about the boundary between dreams and waking? Jointly authored by an anthropologist and a philosopher, this book investigates some of the most puzzling ideas and practices reported in modern ethnography and ancient philosophy, concerning humans, animals, persons, spirits, agency, selfhood, consciousness, nature, life, death, disease and health. The study's twin aims are first to explore the possibility of achieving a better understanding of the materials (...) we discuss and then to see what lessons we can draw from them to challenge and revise our own fundamental assumptions. (shrink)