This paper offers an explanation of how collaboration leads to abstract and flexible problem solving. We asked the individual and paired subjects to indicate 3/4 of 2/3 of the area of a square sheet of paper and found that (1) they primarily folded or partitioned the paper rather than algorithmically calculating the answer, (2) they strongly tendened to backtrack and confirm their proto‐plans on externalized traces such as creases on the paper, and (3) only the paired subjects shifted to the (...) mathematical strategy in their second trials. Based on these results, we propose that two factors, individuals' activeness in choosing and confirming the initial strategies and the frequent role exchange between task‐doing and monitoring in collaborative situations, interact in collaboration to generate various solutions differing in the degree of abstraction, which are then reflected upon by the participants to lead them to abstraction. (shrink)

This article introduces English translations of Tanabe’s two essays entitled “Moral Freedom” and “On Moral Freedom Revisited.” In these essays, Tanabe tries to understand the unity of the contradictory division between freedom and necessity, while remaining truthful to the moral experience. Freedom is ultimately characterized as ideality that we ought to realize in reality, while the stage of religion constitutes the ultimate end of such moral struggles. Tanabe does not clearly work out how the continuity of the freedom-necessity discontinuity is (...) possible in these essays. Nevertheless, we can gain insight into the early stages of Tanabe’s practical metaphysics that culminate in his mature works on the philosophy of religion. The translators’ introduction will highlight these points and also provide a brief description of the historical background in which the publication of these texts took place in 1917. (shrink)

This paper presents the first English translation of one of Tanabe’s early essays on Kant. Tanabe marks the occasion of the first translation of the Critique of Practical Reason into Japanese by providing his reflections on Kant’s theory of freedom in this essay. This creative essay by Tanabe represents the hallmark Kyoto School interpretation of Kant. Tanabe weaves his account of Kant with elements from other philosophers in an attempt to think systematically about the nature of freedom. He agrees with (...) Kant that morality itself “rises and falls” with the idea of freedom; however, Tanabe also tries to rescue some of the pitfalls he sees in Kant’s theory by reconstructing Kant’s account. In this brief, but rich essay, Tanabe unfolds one of the more creative aspects of his philosophy through Kant. (shrink)

In this paper, we deal with a relationship among the law of excluded middle, the double negation elimination and the independence of premiss rule ) for intuitionistic predicate logic. After giving a general machinery, we give, as corollaries, several examples of extensions of \ and \ which are closed under \ but do not derive the independence of premiss axiom.

Dans son premier article, Tanabe soutient que le jugement n’est pas seulement un acte secondaire de la pensée : il est aussi l’acte par lequel l’objet est posé et sur lequel la connaissance se fonde, lorsqu’un acte d’attention se tourne vers le contenu de l’expérience pure. Dans celle-ci, objet et sujet sont encore indistincts. Ce jugement thétique fondamental diffère des autres jugements en ceci qu’en lui, il n’y a pas de décalage entre exigence et reconnaissance. Il est donc toujours affirmatif (...) et ne devient pas clairement conscient. Tanabe entend éviter ainsi l’idéalisme subjectif. (shrink)

中世から近世に移るカオスの中で人びとはどのように生き、社会の中で思想を形成していったか。本書はそこにみられる、近代が切り捨ててきた、人と人とのつながりを真摯に追求する。.

Classically, weak König's lemma and Brouwer's fan theorem for detachable bars are equivalent. We give a direct constructive proof that the former implies the latter.

The East has not been a cultural unit as a whole. In the East there have been several cultural areas, the most important of which must have been those centering in India and in China. Japan has a peculiar and unique significance of her own in comparison with these two.The notion of history differs greatly according to these cultural areas. We shall discuss them one by one.

We will overview the results in an informal approach to constructive reverse mathematics, that is reverse mathematics in Bishop’s constructive mathematics, especially focusing on compactness properties and continuous properties.

This article introduces the first English translation of one of Tanabe’s early essays on metaphysics. It questions the relation of the universal to the particular in context of logic, phenomenology, Neo-Kantian epistemology, and classical metaphysics. Tanabe provides his reflections on the nature of the concept of universality and its constitutive relation to phenomenal particulars through critical analyses of the issue as it is discussed across various schools of philosophy including: British Empiricism, the Marburg School, the Austrian School, the Kyoto School, (...) and Platonism. In this essay, Tanabe reveals his ability to think metaphysically the ground for the possibility of reasoning and dares to voice his own thought beyond references to the most prominent thinkers of his time from distinct intellectual traditions in both the east and the west. This essay, therefore, demonstrates that his strong tendency to move beyond the received epistemology and phenomenology of the European intellectual tradition to metaphysics was already present in the early days of his academic life and thereby marks a more general contribution of the Kyoto School of Philosophy to distinct European schools of thought in the early twentieth century. (shrink)

This is a lucid and rewarding book which sets a new standard for dealing with a history of thought across many cultures.

1. Yōga to Sānkiya no shisō -- Niyāya to Vaishēshika no shisō -- 3. Mīmānsā to bunpōgaku no shisō -- 4. Vēdānta shisō no tenkai.

1. Kodai shisō -- -- 3. Chūsei shisō.

The history of the Vedanta school is well known since the time of Sankaracarya on, and its prehistory before Sankara is quite obscure. However, from the time of compilation of major Upanisads to Sankara there is a period of thousand years, and the tradition of Upanisads was not lost; there appeared many philosophers and dogmaticians, although their thoughts are not clearly known. The author has made clear the details of the pre-Sankara Vedanta philosophy, utilizing not only Sanskrit materials, but also (...) Pali, Prakrit (Jain), as well as Tibetan and Chinese sources. In this respect this is quite a unique work. For this work the author was awarded the Imperial Prize by the Academy of Japan. Some sections of this work were already published in Indian as well as European and American journals in English. This work is a complete English translation of the entire book. The English translation was done with the financial aid by the Harvard-Yenching Institute, and the final touch was given by Mr. Trevor Leggett, the British writer, who is well-versed in Sanskrit as well as in Japanese. (shrink)

"Tanabe's agenda was not religious but philosophical in that he tried to integrate Eastern and Western insights in order to acquire a cross-cultural philosophical vision for the post-war world community.... This book shows his superior philosophical originality.... It is high time that Tanabe's thought should be introduced to the West."—Joseph Kitagawa, University of Chicago.

The purpose of this paper is an axiomatic study of the interrelations between certain continuity properties. We deal with principles which are equivalent to the statements "every mapping is sequentially nondiscontinuous", "every sequentially nondiscontinuous mapping is sequentially continuous", and "every sequentially continuous mapping is continuous". As corollaries, we show that every mapping of a complete separable space is continuous in constructive recursive mathematics (the Kreisel-Lacombe-Schoenfield-Tsejtin theorem) and in intuitionism.

We show, within the framework of Bishop's constructive mathematics, that (sequential) completeness of the locally convex space $\mathcal{D} (\mathbb{R})$ of test functions is equivalent to the principle BD-N which holds in classical mathemtatics, Brouwer's intuitionism and Markov's constructive recursive mathematics, but does not hold in Bishop's constructivism.

In this paper we introduce effectiveness into model theory of intuitionistic logic. The main result shows that any computable theory T of intuitionistic predicate logic has a Kripke model with decidable forcing such that for any sentence φ, φ is forced in the model if and only if φ is intuitionistically deducible from T.

While many historians take the view that Japanese philosophy only started with the Meiji Restoration and the entrance of Western culture into Japan, Hajime Nakamura demonstrates that there has been a long history of philosophy in Japan prior to the Meiji. Beginning in 592 AD, when Japan first became a centralized state and continuing into the early modern era, this work deals with the important problems and salient feature of Japanese philosophical thought at all stages in its development.

We give a variant of the Gödel-Gentzen-negative translation, and a syntactic characterization which entails conservativity result for formulas.