In this paper, we discuss uniform versions of some axioms of second order arithmetic in the context of higher order arithmetic. We prove that uniform versions of weak weak König's lemma WWKL and Σ01 separation are equivalent to over a suitable base theory of higher order arithmetic, where is the assertion that there exists Φ2 such that Φf1 = 0 if and only if ∃x0 for all f. We also prove that uniform versions of some well-known theorems are equivalent to (...) or the axiom of the existence of the Suslin operator. (shrink)

This monograph is the first to analyze Julius Caesar Scaliger's Exotericae Exercitationes(1557). In order to make this late-Renaissance work accessible to modern readers, Kuni Sakamoto conducted a detailed textual analysis and revealed the basic tenets of Scaliger's philosophy.

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).

Hyōburon -- Kyōmonron -- Jinsei sanpōsetsu -- Chisetsu.

Pierre Gassendi is widely known as a reviver of Epicurean atomism. But he was also regarded as an accomplished astronomer by his contemporaries. Along with the life-long observational pursuits, Gassendi developed his theories of the causes underlying celestial motions. In elaborating them, he absorbed seveal ideas coming from the astronomy of Johannes Kepler. Moreover, Gassendi went further to incorporate some theological principles from the Keplerian cosmology, especially the idea that God is a Geometer. The present paper thus explores Kepler's influence (...) on the philosophy of Gassendi in both astronomical and theological spheres. (shrink)

Redstone (Democracy and the Problem of Certainty. Theory and Society, 2024) provides a welcomed discussion of our general psychological propensity to become overly sure of our convictions and to thereby avoid critical thinking about them. Her analysis helps us to better understand the sources of this cognitive bias and its impact on sociology which has become overly ideological. This cognitive bias is also inconsistent with Merton’s norms of science. Excessive ideological commitments and related cognitive bias are impeding the development of (...) cumulative sociological knowledge. (shrink)

Hume’s economic essays were part of his early project of politics as one of the principal departments of the Science of Man, a project realized, first, by the morals expounded in Book 3 of the Treatise; second, by the politics and criticism in Essays Moral and Political; and third, by economic and political essays in the Political Discourses. The author sheds new light on the way in which Hume’s economic theory was developed as an integral part of his grand philosophical (...) project, one based on the theory of causal reasoning that served Hume’s theorizing throughout his social science in general and his economics in particular. A profound connection is shown between Hume’s philosophy and economics, mainly from a methodological point of view, by highlighting his theory of causation. The strictly philosophical nature and origin of Hume’s “economics” demonstrates the significant difference between his economic writings and those of his contemporaries. (shrink)

The discipline of nursing has long maintained that is has a unique contribution to make within the health care arena. This assertion of uniqueness lies in great part in the discipline's claim to a distinct body of knowledge. Nursing knowledge is characterized by diverse and multiple forms of knowing and underpins the work of all nurses, regardless of field of practice. Unfortunately, it has been challenging for the discipline to take full ownership of its epistemological diversity, largely due to factors (...) such as competing worldviews, and ideological and binary positioning. A philosophical middle ground stance is proposed as a way for the discipline to contemplate, discuss and develop nursing knowledge; a middle space that provides the freedom to consider competing worldviews while still allowing for the discipline to fully express itself in all of its epistemological diversity. In being able to enact its multiple forms of knowledge in a creative and open space that is open to different ideas and worldviews, not only can nursing take full ownership of its practice and its unique knowledge, it can also demonstrate how best to navigate an increasingly polarized world. In a world that is increasingly fixated on binary solutions and dualistic points of view, it is time for nursing to celebrate its epistemological diversity. (shrink)

This paper examines Hume’s theory of republicanism from the perspective of the history of ancient and modern thought. Hume criticized ancient republicanism for its implicit assumption of institutional slavery, and sought the possibility of a republican constitution based on the freedom and equality of citizens. Despite the title “Idea of a Perfect Commonwealth,” its content was a concrete theory and discussed the British society as it existed in the 18th century. His conclusion was the realistic proposal of a highly democratic (...) federal republic, which not only became the origin of the U.S. Constitution through James Madison, but also serves as a valuable source of enlightenment and inspiration for our time, when the challenges and problems of party politics and mass democracy have become extremely serious. (shrink)

清朝末から中華人民共和国建国までの世界的激動期、中国の知識人は儒教的世界観の更新に立ち会い、西洋の知と格闘した。社会進化論や立憲思想の衝撃はナショナリズムと革命思想に展開し、雑誌メディアには生命論から 民族論まで様々な論争と漫画表現が花開く。貴重な資料と最新の研究から読み解く労作。.

By RCA 0 , we denote a subsystem of second order arithmetic based on Δ0 1 comprehension and Δ0 1 induction. We show within this system that the real number system R satisfies all the theorems (possibly with non-standard length) of the theory of real closed fields under an appropriate truth definition. This enables us to develop linear algebra and polynomial ring theory over real and complex numbers, so that we particularly obtain Hilbert’s Nullstellensatz in RCA 0.

Societies with a higher level of income inequality tend to have lower levels of intergenerational income mobility. Known as the Great Gatsby Curve, this negative relationship in part derives from greater intergenerational economic heritance among the poor. Societies with higher rates of relative poverty will have a higher level of income inequality, but they will also tend to have lower intergenerational mobility due to the reduced capacity of low-income persons to become upwardly mobile. Reviewing relevant research in psychology, we describe (...) how poverty is associated with decreased psychological resources that compromise the competitiveness of low-income persons for superior attainment in the educational system and for greater productivity in the labor market. Economic deprivation in itself thus leads to a “vicious circle” of disadvantage that diminishes intergenerational mobility even without the existence of any culture of poverty or monopolistic institutions in the economy. (shrink)

This essay argues that while the so-called "Hume's Early Memoranda" has long been regarded as Hume's juvenile work composed before A Treatise of Human Nature, there is significant internal and external evidence to the contrary. M. A. Stewart's recent thesis made a new attempt to move the period of composition to the early 1740s. I seek in the following essay to date the composition even later, in the latter half of the 1740s. Re-examined in this new light, the memoranda credibly (...) emerges as a work of preparation for Hume's political economy to be published as Political Discourses in 1752. Historical and biographical details thus reconstructed around the process of Hume's composition of the memoranda reveal the hitherto-unrecognized complexity with which Hume's economic thought was gradually formed in close and profound connections with his moral, political and historical thinking. (shrink)

現代に生きる人間は、国家とどう向き合い、自分のアイデンティティをどのように考えていくべきか。その問いと格闘してきた国際政治学者の軌跡。上巻は、上海で戦争を経験した少年時代、生き方に悩む青年時代、やがて 学問と出会い、アメリカ留学を経て、冷戦・核時代のなかで平和問題に取り組み、社会的発言を繰り広げてゆくまで。.

劇的転換を求められている新たな生命倫理の案内書。従来、医療分野に集中しがちであった内容を生命科学全体とさらに関連する社会的緊急課題―環境・人口・難民・人種などにまで拡大、包括して最適任者が興趣ある解説 で応える。.

This collection of essays provides a comprehensive view of the economic thought of the Scottish Enlightenment. Organized as a chronological account of the rise and progress of political economy in eighteenth century Scotland, each chapter discusses the way in which the moral and economic improvement of the Scottish nation became a common concern. Contributors not only explore the economic discourses of David Hume, James Steuart and Adam Smith but also consider the neglected economic writings of Andrew Fletcher, Robert Wallace, Francis (...) Hutcheson, William Robertson, John Millar and Dugald Stewart. This book addresses the question of how these economic writings interacted with the moral, political and historical arguments of the time and shows how contemporary issues related to the union with England, natural jurisprudence, classical republicanism and manners and civilization all contained an economic dimension. Key chapters include: The ancient modern controversy in the Scottish Enlightenment The 'Scottish Triangle' in the shaping of political economy: David Hume, Sir James Steuart and Adam Smith Civilization and history in Lord Kames and William Robertson Adam Smith in Japan This view of the origin of economic science in Britain is markedly different from traditional accounts and will be of interest to economic, political and social historians. (shrink)

For the first time, in Hume and Smith, ‘sympathy’ occupies a central position as the principle of moral judgment. The key to solving the relationship between sympathy and economic thought lies in the theory of justice. Hume and Smith inherited Hutcheson’s criticism of the Hobbesian selfish system and considered humans selfish and social. For both, the relationship between selfishness and sympathy is neither a contradiction nor a subordinate structure in which selfishness ultimately dominates sympathy. In this joint project, Hume’s institutional (...) utilitarianism could justify Smith’s economic theories and provide Smith’s theory of government with a proper philosophical foundation. I argue that this is particularly significant because Smith himself failed to provide the foundation in areas where the idea of public utility plays a vital role, such as in the critical case of national defence and the decline of martial spirit. (shrink)