Boltzmann's Philosophy Notes for Three Lectures (Fall 1903)

It is necessary to distinguish between Boltzmann’s original lecture notes, his extemporaneous lectures, the fair copy of philosophy lectures 3 to 18 by an unknown hand which are mostly on mathematics, and the multi-published versions which only include lectures 1 and 2. There is a difference between his real thought in his notes (or “honne” in Japanese) and what seems to have survived in lectures 1 and 2 for public consumption (“tatamae”). We have stuck with honne, but where it is too abbreviated to make initial sense, we have put it in grammatical and intelligible form as what we think he most probably intended or believed. It was precisely his linguistic philosophy and the relativistic and pragmatic way of presenting it which was largely suppressed or at least toned-down in the fair copy and published versions. Listeners remembered how witty he was when speaking, and the shortened published accounts are also interesting, but his first thoughts, his honne, before prudence set in will interest most readers, though alas as happens with notes there is also some extraneous material. In translating most of the notes for the first three lectures we have ended where mathematics begins to predominate. This revised version was published online in June 2006 with corrections to the Cover Date.     

Ludwig Boltzmann's Bildtheorie and Scientific Understanding

Boltzmann’s Bildtheorie, which asserts that scientific theories are ‘mental pictures’ having at best a partial similarity to reality, was a core element of his philosophy of science. The aim of this article is to draw attention to a neglected aspect of it, namely its significance for the issue of scientific explanation and understanding, regarded by Boltzmann as central goals of science. I argue that, in addition to being an epistemological view of the interpretation of scientific theories Boltzmann’s Bildtheorie has implications for the nature of scientific understanding. This aspect has as yet been ignored because discussion of the Bildtheorie has been restricted to the realism-instrumentalism debate. To elucidate my analysis of Boltzmann’s Bildtheorie concrete examples are presented, and the pragmatist and Darwinist roots of Boltzmann’s view are discussed. Moreover, I propose to use Boltzmann’s ideas as a starting-point for developing a novel analysis of the notion of scientific understanding, of which a brief impression is given. It shows that the study of Boltzmann’s philosophy is not only of historical interest but can be relevant also to modern philosophy of science and to the methodology of theoretical physics. This revised version was published online in June 2006 with corrections to the Cover Date.     

New directions for nominalist philosophers of mathematics

The present paper will argue that, for too long, many nominalists have concentrated their researches on the question of whether one could make sense of applications of mathematics (especially in science) without presupposing the existence of mathematical objects. This was, no doubt, due to the enormous influence of Quine’s “Indispensability Argument”, which challenged the nominalist to come up with an explanation of how science could be done without referring to, or quantifying over, mathematical objects. I shall admonish nominalists to enlarge the target of their investigations to include the many uses mathematicians make of concepts such as structures and models to advance pure mathematics. I shall illustrate my reasons for admonishing nominalists to strike out in these new directions by using Hartry Field’s nominalistic view of mathematics as a model of a philosophy of mathematics that was developed in just the sort of way I argue one should guard against. I shall support my reasons by providing grounds for rejecting both Field’s fictionalism and also his deflationist account of mathematical knowledge—doctrines that were formed largely in response to the Indispensability Argument. I shall then give a refutation of Mark Balaguer’s argument for his thesis that fictionalism is “the best version of anti-realistic anti-platonism”.     

How to Define a Number? A General Epistemological Account of Simon Stevin’s Art of Defining

This paper explores Simon Stevin’s l’Arithmétique of 1585, where we find a novel understanding of the concept of number. I will discuss the dynamics between his practice and philosophy of mathematics, and put it in the context of his general epistemological attitude. Subsequently, I will take a close look at his justificational concerns, and at how these are reflected in his inductive, a postiori and structuralist approach to investigating the numerical field. I will argue that Stevin’s renewed conceptualisation of the notion of number is a sort of “existential closure” of the numerical domain, founded upon the practice of his predecessors and contemporaries. Accordingly, I want to make clear that l’Aritmetique have to be read not as an ontological analysis or exploration of the numerical field, but as an explication of a mathematical ethos. In this sense, this article also intends to make a specific contribution to the broader issue of the “ethics of geometry.”     

Hu Shi’s Study of Chinese Medieval Intellectual History

Hu Shi frequently gave lectures on the history of Chinese philosophy, especially the history of ancient Chinese philosophy, from the year 1919 to 1937. A large number of papers and dissertations published during this period are related to his research on this topic. In his opinion, there are three characteristics of the history of ancient Chinese philosophy: “ religionalization of thought,” “Indianization of philosophy,” and “conflict between Chinese thought and Indian thought.” In this paper, I explore Hu Shi’s deep insight into the religionalization of Confucianism in Han dynasty and into the thought of Taoism in the medieval times. Originally published in Chinese Philosophy, volume 15 (May 1992), translated by Han Jianying     

Artifice and virtue in the<Emphasis Type="Italic">Xunzi</Emphasis>

Xunzi was chronologically the third of the three great Confucian thinkers of China’s classical period, after Confucius and Mencius. Having produced the most comprehensive philosophical system of that period, he occupies a place in the development of Chinese philosophy comparable to that of Aristotle in the Western philosophical tradition. This essay reveals how Xunzi’s understanding of virtue and moral development dovetailed with his positions on ritual propriety, the attunement of names, the relation betweenli (patterns) andlei (categories), and his view ofdao (the way) in general. I have argued for a “constructivist” understanding of each of these aspects of Xunzi’s philosophy in some detail elsewhere (see Hagen 2000, 2001, 2002, 2003), and so here I will just briefly review a few key points before addressing their relation to moral development.     

Cassirer’s critique of culture

My purpose in this paper is to look at Cassirer’s relation to critical philosophy from a new perspective. Most discussions concerning Cassirer’s Kantianism have so far centered on his relation to neo-Kantianism and the Marburg school. My focus will not be on neo-Kantianism but on Cassirer’s notion of a “critique of culture.” In an often cited paragraph from the introduction to The Philosophy of Symbolic Forms, Cassirer says that his aim is to broaden Kant’s critical approach to all various forms of culture, to language as well as myth and art, and thus to transform the “critique of reason” into the “critique of culture.” I will explore Cassirer’s concept of the “critique of culture” and suggest that it can best be understood by placing it in the context of early twentieth century German philosophy. More precisely, I will aim to show that Cassirer’s critique can be seen as an effort to find a middle path between Lebensphilosophie and the positivism of the Vienna Circle.     

Heinrich Hertz’s Neo-Kantian Philosophy of Science, and its Development by Harald Høffding

Summary  This article is an investigation of parallel themes in Heinrich Hertz’s philosophy science and Kant’s theory of schemata, symbols and regulative ideas. It is argued that Hertz’s “pictures” bears close similarities to Kantian “schemata”, that is, they are rules linking concepts to intuitions and provide them with their meaning. Kant’s distinction between symbols and schemata is discussed and related to Hertz’s three pictures of mechanics. It is argued that Hertz considered his own picture of mechanics (the “hidden mass” picture) as symbolic in a different way than the force and energy pictures. In the final part of the article it is described how Harald H?ffding soon after the publication of Hertz’s Principles of Mechanics developed a general theory of analogical reasoning, relying on the ideas of Hertz and Kant.     

“For a New World”: On the practical impulse of Husserlian theory

The thesis of this article is that in Husserlian phenomenology there is no opposition between theory and praxis. On the contrary, he understands the former to serve the latter, so as to usher in a new world. The means for doing is the phenomenological reduction or epoché. It gives the phenomenologist access to the starting point, the “first things,” and orients his/her striving towards reason and the renewal of humanity. Careful attention to the significance of the epoché also sheds light on Husserl’s understanding of the relationship of phenomenology not only to philosophy but also to the other sciences. Though an exposition of the “phenomenology of the philosophical vocation” which Husserl sketched in the 1920s, e.g., in his Kaizo articles and lectures on first philosophy, the author seeks to shore up his thesis. For Walter Biemel     

Three Assistants on Boltzmann

The three demi-articles presented here would give a brief biographical account of Ludwig Boltzmann’s life plus some details about his Vienna laboratories first in the 1860’s in the Erdberg and second in Türkenstrasse from 1894. Josef Nabl’s account discusses J. J. Thomson’s Laboratory in Cambridge, which allows a provisional comparison between two different largely contemporary institutes. Nabl’s second letter also mentions Lord Kelvin’s late rejection of the kinetic gas theory of Maxwell and Boltzmann, rejection which on top of the negative attitude of Mach, Zermelo, and Poincaré probably did not benefit Boltzmann’s state of mind and may have contributed to the extreme character of Boltzmann’s anti-philosophical counterattack starting in 1903. This revised version was published online in June 2006 with corrections to the Cover Date.     

A philosophy of labour: comparing A. V. Lunačarskij and S. Brzozowski

At the end of 1907 within a couple of months Lunačarskij met both Gor’kij and Brzozowski in Italy and found many important points of contact with each. To compare Lunačarskij’s thought at that time with Brzozowski’s “philosophical program” of 1907 casts some new light on the great variety of interpretations that enlivened Easter European Marxism at the beginning of the twentieth century. On the one hand, it explains Lunačarskij’s “economism” as distinct both from Brzozowski’s extreme anthropologism and Gor’kij’s “cosmism”; on the other, it shows that Lunačarskij’s “philosophy of labour” promoted a violent attitude of conquest and humankind’s domination of nature. Although he criticized Brzozowski’s sympathies with German Idealism, Lunačarskij shared with him a deep appreciation of human creative power, which is evident in his peculiar form of collectivism as well.     

Walter Pitts and “A Logical Calculus”

Many years after the publication of “A Logical Calculus of the Ideas Immanent in Nervous Activity,” Warren McCulloch gave Walter Pitts credit for contributing his knowledge of modular mathematics to their joint project.

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Boltzmann and Wittgenstein or How Pictures Became Linguistic

Emphasis in historiography of science is naturally placed on the discoveries and inventions which scientists make and generally less on new methods of doing science, but sometimes the latter can he an important clue to help us understand the former. For example, while we all acknowledge how great the contributions of Maxwell, Boltzmann, Planck, and Einstein were to physics from roughly 1870 to 1920, we often overlook the significance of a methodological phrase which was popular during that same period, namely, what in German was called “Bildtheorie” or in English “picture theory”. But even before we can properly study its significance we have to know what the theory was, but even this presents problems, since the meaning changed. In fact, this paper is an attempt not only to describe the history of that change from Maxwell to Wittgenstein but to study in particular how Boltzmann’s conception of Bildtheorie seems to have been at least partly incorporated into the approach of Ludwig Wittgenstein. This revised version was published online in June 2006 with corrections to the Cover Date.     

The “new categorical imperative” and Adorno’s aporetic moral philosophy

This article offers a new interpretation of Adorno’s “new categorical imperative”: it suggests that the new imperative is an important element of Adorno’s moral philosophy and at the same time runs counter to some of its essential features. It is suggested that Adorno’s moral philosophy leads to two aporiae, which create an impasse that the new categorical imperative attempts to circumvent. The first aporia results from the tension between Adorno’s acknowledgement that praxis is an essential part of moral philosophy, and his view according to which existing social conditions make it impossible for moral knowledge to be translated into “right” action. The second aporia results from the tension between the uncompromising sensitivity to suffering that underlies Adorno’s moral thought, and his analysis of the culture industry mechanisms which turn people into happy, satisfied customers—an incompatibility which threatens to pull the rug out from under Adorno’s moral philosophy. My interpretation of the “new categorical imperative” focuses on two characteristics it inherits from the “old,” Kantian one—self-evidence and unconditionality—in order to present the new imperative as a response to these two aporiae.     

Knowing thyself ... in private: Masturbation and philosophy

Karl Marx once compared philosophy to masturbation, essentially seeing both as privative, idealistic, and impractical activities. Indeed, many lay folk see philosophers as “wankers.” While the present state of universities does throw doubt on the liberatory character of contemporary philosophy, Marx’s jibe nonetheless mischaracterizes masturbation. This paper is a brief attempt to correct Marx’s characterization of masturbation by drawing on the work of a thinker ofter associated with “intellectual onanism”: Martin Heidegger. Speaking ontologically, Heidergger’s theories can be developed to show that masturbation it is not privative, but “stretched” in time and place. Moreover, masturbation plays a practical role in the creative development of the self, including the self’s essential bodiliness. While not necessarily defending philosophy against Marx’s charges, this paper does show how even so-called “onanistic” philosophy might be redeemed. “Only a being which, like man, ‘had’ the word... can and must ‘have’ ‘the hand’” —Martin Heidegger “I have a dangerously supple wrist.” —Friedrich Nietzsche     

John Dewey on Educating the Moral Self

Despite the affirmation below from a chapter entitled “The Moral Self” in his Ethics (1932), Deweyseems not to have used the term “moralself” outside that context. Perhaps he didn’t think it that crucial in his overall philosophy. I argue, on the contrary, that the concept ofthe moralself is fundamental to Deweyan moral psychology and that it provides an illuminating lens through which to view his philosophy of education. This paper explicates Dewey’s perspective on moral education as education of the moral self.     

Meaning(fullness) Without Metaphysics: Another Look at Hume’s “Meaning Empiricism”

Although Hume has no developed semantic theory, in the heyday of analytic philosophy he was criticized for his “meaning empiricism,” which supposedly committed him to a private world of ideas, led him to champion a genetic account of meaning instead of an analytic one, and confused “impressions” with “perceptions of an objective realm.” But another look at Hume’s “meaning empiricism” reveals that his criterion for cognitive content, the cornerstone both of his resolutely anti-metaphysical stance and his naturalistic “science of human nature,” provides the basis for a successful response to his critics. Central to his program for reforming philosophy, Hume’s use of the criterion has two distinct aspects: a critical or negative aspect, which assesses the content of the central notions of metaphysical theories to demonstrate their unintelligibility; and a constructive or positive aspect, which accurately determines the cognitive content of terms and ideas.     

<Emphasis Type="Italic">Wissenschaftslogik</Emphasis>: The role of logic in the philosophy of science

Carl Hempel introduced what he called “Craig’s theorem” into the philosophy of science in a famous discussion of the “problem of theoretical terms.” Beginning with Hempel’s use of ‘Craig’s theorem,” I shall bring out some of the key differences between Hempel’s treatment of the “problem of theoretical terms” and Carnap’s in order to illuminate the peculiar function of Wissenschaftslogik in Carnap’s mature philosophy. Carnap’s treatment, in particular, is fundamentally anti-metaphysical—he aims to use the tools of mathematical logic to dissolve rather solve traditional philosophical problems—and it is precisely this point that is missed by his logically-minded contemporaries such as Hempel and Quine.     

A Comparison of Dewey’s and Russell’s Influences on China

John Dewey and Bertrand Russell visited China at around the same time in 1920. Both profoundly influenced China during the great transition period of this country. This article will focus on the differences between the two great figures that influenced China in the 1920s. This comparison will examine the following five aspects: 1. Deweyanization vs. Russellization; 2. Dewey’s “Populism” vs. Russell’s “Aristocraticism”; 3. Dewey’s “Syntheticalism” vs. Russell’s “Analyticalism”; 4. Dewey’s “Realism” vs. Russell’s “Romanticism”; 5. Dewey’s “Conservatism” vs. Russell’s “Radicalism”. This examination will highlight that, although their visit left indelible impressions among Chinese intellecturals, for the radical Marx–Leninists, any Western philosophy and socio-political theories, including Dewey’s and Russell’s, were prejudicial, outworn, and even counterrevolutionary. Soon “Marxi–Leninization” was gradually substituted for “Deweyanization” and “Russellization.”     

Some differences between Kant’s and Husserl’s conceptions of transcendental philosophy

This article compares the differences between Kant’s and Husserl’s conceptions of the “transcendental.” It argues that, for Kant, the term “transcendental” stands for what is otherwise called “metaphysical,” i.e. non-empirical knowledge. As opposed to his predecessors, who had believed that such non-empirical knowledge was possible for meta-physical, i.e. transcendent objects, Kant’s contribution was to show how there can be non-empirical (a priori) knowledge not about transcendent objects, but about the necessary conditions for the experience of natural, non-transcendent objects. Hence the transcendental for Kant ends up connoting a philosophy that claims to show how subjective forms of intuition and thinking have objective validity for all objects as appearances. By contrast, Husserl’s phenomenological philosophy takes a different set of problems for its starting point. His quest is to avoid the uncertainty of empirical knowledge about all kinds of objects that present themselves to us as something other than, something transcendent to, consciousness. Transcendental or reliable knowledge is made possible through the phenomenological reduction that focuses strictly on consciousness as immediately self-given to itself—reflection upon “pure” consciousness. The contents of such consciousness are not the same for everyone and at every time, so they are not necessary and invariant in the way that Kant’s pure forms of subjectivity are. Since Husserl however also claims that the all objects, as intentional objects, are constituted in and for consciousness, an investigation into the structures of pure subjectivity can also be called “transcendental” in a further sense of showing the genesis of our knowledge of objects that are transcendent to consciousness. Moreover, since Husserl’s philosophical interest is precisely upon the structures of that consciousness, he also concentrates on necessary conditions for the constitution of these objects in his philosophical work. Hence, there ends up being a great deal of overlap between his own transcendental project and Kant’s in spite of the differences in what each of them means by the term “transcendental.”