Ernest Nagel played a key role in bridging the gap between American philosophy and logical empiricism. He introduced European philosophy of science to the American philosophical community but also remained faithful to the naturalism of his teachers. This paper aims to shed new light on Nagel’s intermediating endeavors by reconstructing his philosophical development in the late 1920s and 1930s. This is a decisive period in Nagel’s career because it is the phase in which he first formulated the principles of his (...) naturalism and spent a year in Europe to visit the key centers of logical empiricism. Building on a range of published and unpublished papers, notes, and correspondence—including hundreds of pages of letters to his close friend Sidney Hook—I reconstruct Nagel’s philosophical development, focusing especially on the philosophical influence of John Dewey, Morris R. Cohen, Rudolf Carnap, and Hans Reichenbach. (shrink)

Cantor’s first set theory paper (1874) establishes the uncountability of ${\mathbb R}$. We study this most basic mathematical fact formulated in the language of higher-order arithmetic. In particular, we investigate the logical and computational properties of ${\mathsf {NIN}}$ (resp. ${\mathsf {NBI}}$ ), i.e., the third-order statement there is no injection resp. bijection from $[0,1]$ to ${\mathbb N}$. Working in Kohlenbach’s higher-order Reverse Mathematics, we show that ${\mathsf {NIN}}$ and ${\mathsf {NBI}}$ are hard to prove in terms of (conventional) comprehension axioms, (...) while many basic theorems, like Arzelà’s convergence theorem for the Riemann integral (1885), are shown to imply ${\mathsf {NIN}}$ and/or ${\mathsf {NBI}}$. Working in Kleene’s higher-order computability theory based on S1–S9, we show that the following fourth-order process based on ${\mathsf {NIN}}$ is similarly hard to compute: for a given $[0,1]\rightarrow {\mathbb N}$ -function, find reals in the unit interval that map to the same natural number. (shrink)

AN INTRODUCTION TO PHILOSOPHY FIRST DIVISION THE SIGNIFICANCE AND POSITION OF PHILOSOPHY i. Concept and Problem of Philosophy r Philosophy is the ...

The uncountability of$\mathbb {R}$is one of its most basic properties, known far outside of mathematics. Cantor’s 1874 proof of the uncountability of$\mathbb {R}$even appears in the very first paper on set theory, i.e., a historical milestone. In this paper, we study the uncountability of${\mathbb R}$in Kohlenbach’shigher-orderReverse Mathematics (RM for short), in the guise of the following principle:$$\begin{align*}\mathit{for \ a \ countable \ set } \ A\subset \mathbb{R}, \mathit{\ there \ exists } \ y\in \mathbb{R}\setminus A. \end{align*}$$An important conceptual observation is (...) that the usual definition of countable set—based on injections or bijections to${\mathbb N}$—does not seem suitable for the RM-study of mainstream mathematics; we also propose a suitable (equivalent over strong systems) alternative definition of countable set, namelyunion over${\mathbb N}$of finite sets; the latter is known from the literature and closer to how countable sets occur ‘in the wild’. We identify a considerable number of theorems that are equivalent to the centred theorem based on our alternative definition. Perhaps surprisingly, our equivalent theorems involve most basic properties of the Riemann integral, regulated or bounded variation functions, Blumberg’s theorem, and Volterra’s early work circa 1881. Our equivalences are alsorobust, promoting the uncountability of${\mathbb R}$to the status of ‘big’ system in RM. (shrink)

We acknowledge that empirical support for universal colour categories in colour cognition is insufficient: it relies too heavily on Rosch-Heider's work with the Dani. We offer new evidence supporting universal perceptual-cognitive colour categories. The same data also support language modulating colour-cognition: Universal structures are fine-tuned by language.

In lieu of an abstract, here is a brief excerpt of the content:82 HISTORY OF PHILOSOPHY PEIRGE'S MARGINALIA IN W. T. HARRIS' Hegel's Logic Among the most eminent philosophers of nineteenth-century America were William Torrey Harris (1835-1909) and Charles Sanders Peirce (18391914 ). The former, by his establishment in 1867 of The Journal of Speculative Philosophy, furnished a starting point for American philosophical maturity. The latter, who contributed to that iournal, has been considered America's greatest logician. It may therefore (...) be of interest to examine Peirce's marginalia in the first edition of Harris' chief work, Hegel's Logic: A Book on the Genesis of the Categories of the Mind (Chicago: S. C. Griggs, 1890). Discovered by the present writer on a New York book-stall, in a cheaply priced, coverless, and water-stained copy, and now in his possession, it bears imprinted on the reverse of the title page: "Harvard University: Philos. Dept. Library. Gift of Mrs. Charles S. Peirce. June 28, 1915." Shortly after Peirce, in depressed circumstances, died on April 19, 1914, the Harvard Philosophy Department acquired from his wife the manuscripts that were published in the Collected Papers.1 Harris' Hegel's Logic, which presumably accompanied that transaction, contains several marginal annotations, mostly in faded ink, in a neat, small hand, similar to that reproduced in the frontispiece to Volume IV of Peirce's Collected Papers. Recalling a notable philosophical conjunction, the markings also reveal aspects of Peirce's character and confirm his complex attitude toward Hegel, crucial to the development of his philosophy. Peirce's shifting view and persistent concern regarding Hegel may be traced in some other remarks. For example, in a letter to Harris dated January 1, 1868, he says, "I admit there is music in the logic of Hegel, but that is all I discover there. ''2 In another letter to Harris, dated May 13, 1868, he indicates his ambivalence: "But as I should draw the line... I should come on the same side as Hegel, because I am idealistic. I do not 1eel very much opposed to Hegel, though I think his main point.s tin his own estimate of importance) are wrong. ''s About 1890, Peirce declared, "I reiect his philosophy in toto, ''~ and about 1896, he accused Hegel of reaching "each category from the last preceding by virtually calling 'next!'-5 Yet, in 1903, he acclaimed Hegel "in some respects the greatest philosopher that ever lived. ''6 And, in the very same year, reviewing another treatment of Hegel's logic, and including a reference to Harris' t Eds. Charles Hartshorne, Paul Weiss,and Arthur Burks (Vols.I-VIII; Cambridge: Harvard University Press, 1958). 2,.C.S. Peirce to W. T. Harris." ed. WallaceNethery, The Personalist,XLIII (19fi2),37. I am indebted to Dr. Nethery for his kindness in letting me see these letters in advanceof publication. sIbid.,40. 4Collected Papers,I, 193. 5 Ibid., I, 246. eIbid., I, 277. NOTES AND DISCUSSIONS 83 treatise, Peirce flatly remarks: "But all these Hegelians--Harris, XVallace, Hibben, Everett, etc.--who dog the steps of their master in almost textual comments, are profoundly unfaithful to the spirit of his philosophy... the Logik now condemns itself. ''7 A constant feature in Peirce's negative attitude toward Hegel concerns the latter's failure to equip himself scientifically to deal with a subject the American considered basically scientific. For instance, about 1899, Peirce writes: Hegel, while regarding scientific men with disdain, has for his chief topic the importance of continuity, which was the very idea the mathematicians and physicists had been chiefly engaged in following out for three centuries. This made Hegel's work less correct and excellent in itself than it might have been; and at the same time hid its true mode of affinity with the scientific thought into which the life of the race had been chiefly laid up. It was a misfortune for Hegelism~ a misfortune for "philosophy," and a misfortune (in lesser degree) for science: Although Peirce adds, "My philosophy resuscitates Hegel, though in a strange costume, ''9 and his dialectic parallels Hegel's, he attempts to escape the Hegelian subjectivism by an "objective logic" and by avoiding Hegel's supposed mathematical ignorance. "Most of what is true in... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:82 HISTORY OF PHILOSOPHY PEIRGE'S MARGINALIA IN W. T. HARRIS' Hegel's Logic Among the most eminent philosophers of nineteenth-century America were William Torrey Harris (1835-1909) and Charles Sanders Peirce (18391914 ). The former, by his establishment in 1867 of The Journal of Speculative Philosophy, furnished a starting point for American philosophical maturity. The latter, who contributed to that iournal, has been considered America's greatest logician. It may therefore (...) be of interest to examine Peirce's marginalia in the first edition of Harris' chief work, Hegel's Logic: A Book on the Genesis of the Categories of the Mind (Chicago: S. C. Griggs, 1890). Discovered by the present writer on a New York book-stall, in a cheaply priced, coverless, and water-stained copy, and now in his possession, it bears imprinted on the reverse of the title page: "Harvard University: Philos. Dept. Library. Gift of Mrs. Charles S. Peirce. June 28, 1915." Shortly after Peirce, in depressed circumstances, died on April 19, 1914, the Harvard Philosophy Department acquired from his wife the manuscripts that were published in the Collected Papers.1 Harris' Hegel's Logic, which presumably accompanied that transaction, contains several marginal annotations, mostly in faded ink, in a neat, small hand, similar to that reproduced in the frontispiece to Volume IV of Peirce's Collected Papers. Recalling a notable philosophical conjunction, the markings also reveal aspects of Peirce's character and confirm his complex attitude toward Hegel, crucial to the development of his philosophy. Peirce's shifting view and persistent concern regarding Hegel may be traced in some other remarks. For example, in a letter to Harris dated January 1, 1868, he says, "I admit there is music in the logic of Hegel, but that is all I discover there. ''2 In another letter to Harris, dated May 13, 1868, he indicates his ambivalence: "But as I should draw the line... I should come on the same side as Hegel, because I am idealistic. I do not 1eel very much opposed to Hegel, though I think his main point.s tin his own estimate of importance) are wrong. ''s About 1890, Peirce declared, "I reiect his philosophy in toto, ''~ and about 1896, he accused Hegel of reaching "each category from the last preceding by virtually calling 'next!'-5 Yet, in 1903, he acclaimed Hegel "in some respects the greatest philosopher that ever lived. ''6 And, in the very same year, reviewing another treatment of Hegel's logic, and including a reference to Harris' t Eds. Charles Hartshorne, Paul Weiss,and Arthur Burks (Vols.I-VIII; Cambridge: Harvard University Press, 1958). 2,.C.S. Peirce to W. T. Harris." ed. WallaceNethery, The Personalist,XLIII (19fi2),37. I am indebted to Dr. Nethery for his kindness in letting me see these letters in advanceof publication. sIbid.,40. 4Collected Papers,I, 193. 5 Ibid., I, 246. eIbid., I, 277. NOTES AND DISCUSSIONS 83 treatise, Peirce flatly remarks: "But all these Hegelians--Harris, XVallace, Hibben, Everett, etc.--who dog the steps of their master in almost textual comments, are profoundly unfaithful to the spirit of his philosophy... the Logik now condemns itself. ''7 A constant feature in Peirce's negative attitude toward Hegel concerns the latter's failure to equip himself scientifically to deal with a subject the American considered basically scientific. For instance, about 1899, Peirce writes: Hegel, while regarding scientific men with disdain, has for his chief topic the importance of continuity, which was the very idea the mathematicians and physicists had been chiefly engaged in following out for three centuries. This made Hegel's work less correct and excellent in itself than it might have been; and at the same time hid its true mode of affinity with the scientific thought into which the life of the race had been chiefly laid up. It was a misfortune for Hegelism~ a misfortune for "philosophy," and a misfortune (in lesser degree) for science: Although Peirce adds, "My philosophy resuscitates Hegel, though in a strange costume, ''9 and his dialectic parallels Hegel's, he attempts to escape the Hegelian subjectivism by an "objective logic" and by avoiding Hegel's supposed mathematical ignorance. "Most of what is true in... (shrink)

Philosophical study of the aesthetics in the light of the Koran; includes a critical study of the western philosophers.

This text is a bilingual Arabic-English translation of one of the most important metaphysical works of the Persian Muslim philosopher known as Mulla Sadra & Sadr al-Din Muhammad al-Shirazi. In this work Mulla Sadra develops an anti-Platonic philosophical position which is non-Aristotelian. He holds that "existents" are ontologically prior to "essence" & that there are two different realms -- the mind dependent domain & entities which exist independent of the mind. Mulla Sadra's views became very popular among Iranian Muslim philosophers (...) & eventually were instrumental in destroying the Aristotelian school of thought in the Islamic world. The translator, Dr. Parviz Morewedge, is the Secretary-Treasurer of the Society for the Study of Islamic Philosophy & Science & has published ten books & numerous articles in Islamic Philosophy & Mysticism. (shrink)

The Nasirean Ethics is the best known ethical digest to be composed in medieval Persia, if not in all mediaeval Islam. It appeared initially in 633/1235 when Tūsī was already a celebrated scholar, scientist, politico-religious propagandist. The work has a special significance as being composed by an outstanding figure at a crucial time in the history he was himself helping to shape: some twenty years later Tūsī was to cross the greatest psychological watershed in Islamic civilization, playing a leading part (...) in the capture of Baghdad and the extinction of the generally acknowledged Caliphate there. In this work the author is primarily concerned with the criteria of human behaviour: first in terms of space and priority allotted, at the individual level, secondly, at the economic level and thirdly at the political level. (shrink)

Ẓuhūr al-amān (The advent of security) is a book on civics published during the reign of Ammanullah Khan (1919-29) as amir of Afghanistan. The book's title pays homage to the name of Ammanullah Khan himself. In its treatment of the duties of the members of Afghan society to the ruler and to each other, Ẓuhūr al-amān appears to highlight the challenges faced by Ammanullah Khan in his efforts to modernize Afghanistan. The book is divided into more than 30 short chapters (...) describing the rights and responsibilities of the ruler, of persons living within a family unit, and of members of Afghan society as a whole. Some sections, such as one on the rights that are to be afforded to the king (ḥuquq-i lazima bar padishah), are further divided into subsections. The book begins with several chapters on religious matters, including those on tauhid (the unity of God), on ʻibada (worship), and on fahm-i sharīʻat-i rasūl ʻalayhi al-salām (the sharia). Ẓuhūr al-amān was published on October 11, 1923, by the then newly established Ministry of Education. The author of the work, a religious scholar by the name of ʻAbd al-Haqq, lists his father as ʻAbd al-ʻAziz from the village of Lower Arghanda in the township of Paghman, near Kabul. He highlights, as well, his tribal affiliation with the well-known Pushtun tribe of Suleimankhel. (shrink)

The issue is whether Christianity, of its nature, would seek to prevent a justifiable breach of confidentiality or could endorse it, under certain circumstances, as the act which is fundamentally more loving or more truthful. The individualistic nature of Western Christianity is noted. The Lutheran theologian Dietrich Bonhoeffer is used to show Christian support for dynamic rather than literal truth telling, and for awareness of the contexts and power relations within which persons stand.

The theme of the thirty-fourth annual meeting was analytic philosophy. The guest speaker was Wilfred Sellars whose paper, "Being and Being Known," offers an interpretation of isomorphism between the knower and the known based on Wittgenstein's Tractatus which is compared with the Thomistic position.--R. I.

In this paper Iain McFadyen highlights a modern ethical dilemma. In each case the fetus was recognised to be in danger, but in both cases the advice given in the fetal interest was refused by the mothers. Both the mother and the physician were concerned for the fetus, but their differing actions and reasons pose the dilemma--who decides?