Argument

Heidegger's philosophy of science is notable for the prominence it gives to visuals and visualization. This is because for Heidegger, truth – including scientific truth – is the consequence of unconcealment, the lifting of a veil. But as scientific truth is a special kind, its visualization is also special: scientific truth reveals itself to us as, in Heidegger's words, “a calculable nexus of forces.” This nexus unconceals itself largely by means of instrumentation: it is this process of revelation that turns objects into objects of science. Despite its focus on visualization, however, Heidegger's philosophy of science cannot be applied directly to scientific visuals. His categories are not designed with visual exegesis in mind. For that purpose, semiotics, the science of meaning as defined by Charles Peirce, is a necessary intermediary between the abstract and the concrete, a taxonomy of icon, index, and symbol that can be employed as a set of hermeneutic probes that permit the exploration of scientific visuals as embodiments and carriers of scientific meaning. But not their sole embodiments and carriers. In achieving scientific semiosis, the verbal and visual must combine their particular strengths. This is also in accord with a Heideggerian view: science moves methodically from the visual to the propositional, though it never leaves the visual behind.

Argument

This paper aims to show how a nineteenth-century Korean scholar's mathematical study reflects the Korean intellectual environment of his time by focusing on the rule of false double position and the method of root extraction. There were two major trends in Korean mathematics of the early nineteenth century: the first was “Tongsan,” literally “Eastern Mathematics,” which largely depended on Chinese mathematics of the Song and Yuan period adopting counting rod calculation; the second trend was Western mathematics, which was transmitted by the Jesuits and their Chinese collaborators from the late sixteenth century. There was also an intellectual transition in late eighteenth-century Korea when mathematics, which had been of only minor interest for Confucian scholars, became an important part of Confucian pursuits. We can gain an insight into the history of mathematics in Korea by examining and understanding Hong Kil-chu's (1786–1841) mathematical studies and the context of the academic world of his time.

Argument

The paper is an exploration of the interactions between Einstein and Oppenheimer. It highlights the sharp differences in Einstein's and Oppenheimer's approach to physics, in their presentation of self as iconic figures, and in their relation to the communities they considered themselves part of. To understand their differing approaches to physics it briefly reviews the kinds of unifications that took place in physics during the first two-thirds of the twentieth century and points to the 1961 MIT centennial celebration to demonstrate the potency of Einstein's vision that there might be a fundamental theory from which all known theories could be derived. It also briefly reviews various aspects of the development of theoretical physics and of general relativity in the first two-thirds of the twentieth century, to better understand the context of the sharp, negative remarks that Oppenheimer made about Einstein and about his theory of general relativity in 1965 on the occasion of the tenth anniversary of Einstein's death. To answer the question: “Why the antagonism on Oppenheimer's part?” it looks at Oppenheimer's and Einstein's relation to their Jewish roots, their stance regarding nationalism, and their philosophical commitments.

Argument

At the beginning of the twentieth century, the Russian mathematician Andrey A. Markov extended the laws of the calculus of probability to trials that were dependent on each other, purely theoretically. In two articles from 1913, which are presented here in English translation, he applied his theory for the first time to empirical material, namely text. After a presentation of Markov's methods, results, and possible inspirations, the introduction investigates the dissemination of his ideas to Western Europe and North America in detail. The experimental application of his method to various types of text finally determines its scope.

This study investigates a text excerpt containing 20,000 Russian letters of the alphabet, excluding $\Cprime$ and $\Cdprime$, from Pushkin's novel Eugene Onegin–the entire first chapter and sixteen stanzas of the second.

I have conducted a similar investigation on a text by a different author (S. T. Aksakov: “Childhood Years of Bagrov's Grandson”). The results of this investigation, which was performed on a text passage of 100,000 letters, are presented in the following tables from which one can see how and to what extent the limit theorems of the calculus of probability actually become evident.