The purpose of this paper is to clarify Prajñākaragupta’s view of mental perception ( mānasapratyakṣa ), with special emphasis on the relationship between mental perception and self-awareness. Dignāga, in his PS 1.6ab, says: “mental [perception] ( mānasa ) is [of two kinds:] a cognition of an [external] object and awareness of one’s own mental states such as passion.” According to his commentator Jinendrabuddhi, a cognition of an external object and awareness of an internal object such as passion are here equally (...) called ‘mental perception’ in that neither depends on any of the five external sense organs. Dharmakīrti, on the other hand, considers mental perception to be a cognition which arises after sensory perception, and does not call self-awareness ‘mental perception’. According to Prajñākaragupta, mental perception is the cognition which determines an object as ‘this’ ( idam iti jñānam ). Unlike Dharmakīrti, he holds that the mental perception follows not only after the sensory perception of an external object, but also after the awareness of an internal object. The self-awareness which Dignāga calls ‘mental perception’ is for Prajñākaragupta the cognition which determines as ‘this’ an internal object, or an object which consists in a cognition; it is to be differentiated from the cognition which cognizes cognition itself, that is, self-awareness in its original sense. (shrink)
How is it possible to say that truth can be of one kind at the conventional level and totally different in the ultimate plane? As Matilal ( 1971 , p. 154) points out, Kumārila (ca. 600–650), a Mīmāṃsaka philosopher, claims that the Buddhist doctrine of two truths is “a kind of philosophical ‘double-talk’.” It is Prajñākaragupta (ca. 750–810), a Buddhist logician, who tries to give a direct answer to this question posed by Kumārila from the Buddhist side. He argues that (...) even a Mīmāṃsaka cannot demonstrate the validity ( prāmāṇya ) of the Veda without accepting two truth levels. His point is this. Consider the proposition to be proved: the Veda is valid. If the Veda is already known as valid, then it is useless to prove this proposition. But if it is already known as invalid, then it is impossible to prove this proposition. Therefore in the argument to prove the proposition, the Veda is not to be regarded either as valid or as invalid. This means that at the first stage of the argument one has the concept of the Veda as neutral in validity. However, as soon as one acquires the knowledge of the Veda as valid through the argument, one has to repudiate such a conception of the Veda. The acceptance of the Veda as neutral in validity is to the acceptance of the Veda as valid as the conventional truth is to the ultimate truth. (shrink)
In this article Kobayashi Toshiaki discusses the importance in all periods of Karatani’s oeuvre of the notion of an “exterior” that necessarily falls beyond the bounds of a system, together with the notion of “singularity” as that which cannot be contained within a “universal.” The existential dread vis-à-vis the uncanny other that Karatani in his early works of literary criticism had initially found to be the underlying tone in Sōseki’s works remained with Karatani himself throughout his career and is (...) what had drawn him closer to philosophy. This sense of the “exterior” to—or other than—the normality of consciousness and the meaningfulness of the world is then extended and applied as the “exterior to systems” in his analyses of logical, mathematical, and linguistic systems, in his reading of Marx’s discussion of capitalist economics, and most recently in his analysis of commodity exchange between communities. (shrink)
This paper presents a kernel density estimation method by means of real-coded crossovers. Functions of real-coded crossover operators are composed of probabilistic density estimation from parental populations and sampling from estimated models. Real-coded Genetic Algorithm (RCGA) does not explicitly estimate probabilistic distributions, however, probabilistic model estimation is implicitly included in algorithms of real-coded crossovers. Based on this understanding, we exploit the implicit estimation of probabilistic distribution of crossovers as a kernel density estimator. We also propose an application of crossover kernels (...) to Expectation-Maximization estimation (EM) of Gaussian mixtures. (shrink)
In this chapter, Kobayashi and Marion first provide reasons to reject the many readings of Collingwood that sought to draft him as a participant in the Hempel-Dray debate about the status of covering laws in history. After all, this debate was not part of Collingwood’s context and, although one can pry from his writings a contribution to it, one may simply, by doing so, misunderstand what he was up to. In the second part, they present the Gabbay-Woods Schema for (...) abductive reasoning, as it occurs in the context of inquiry, as triggered by an ignorance problem, and as being ‘ignorance preserving’. They then argue that this allows us better to see the point of Collingwood’s ‘logic of questions and answers’, as derived from his own practice in archaeology, and his use of the ‘detective model of the historian’, as opposed to merely focussing on understanding what ‘re-enactment’ could mean as a contribution to the Hempel-Dray debate. (shrink)
The effect of Internet use as a mediating variable on self-efficacy as it relates to the cognition of network-changing possibility (i.e., connecting people or groups with different social backgrounds) was examined. The results showed that Internet use (i.e., the frequency of sending e-mail, friends made on the Internet) had a positive effect on the cognition of network-changing possibility. The cognition that it is possible to connect people with different social backgrounds by using the Internet also had a positive effect on (...) self-efficacy. On the other hand, the cognition that it is possible to find people or groups who share beliefs and interests by using the Internet negatively affected self-efficacy. Hence, it was found that the effect of Internet use on self-efficacy was different as a function of cognition of network-changing possibility. (shrink)
It has been suggested that preparing to teach and teaching are conditionally effective in enhancing one’s own learning. This paper focuses on interactivity—the level of teacher-student interaction in expected or actual teaching—as the potential key to understanding and controlling the variability in the effectiveness of learning by preparing to teach and teaching. By summarizing and reanalyzing the results of previous studies, I suggest that the learning benefits of studying with the expectation of direct teaching (i.e., teaching a student face-to-face) are (...) greater than those of studying with the expectation of indirect teaching (i.e., teaching a student indirectly by creating a lecture video, providing written explanations, or using other means) and that learning by direct teaching surpasses learning by explaining to oneself or indirect teaching at least after preparing to do so. Next, three candidate explanations for the impact of interactivity are discussed: the advantages of asking and answering questions, obtaining additional information about and from one’s student, and enhancing one’s motivation to process learning material deeply while preparing to teach and teaching. Finally, I conclude with the remaining questions and directions for future research. (shrink)
The propositional fragment L 1 of Leniewski's ontology is the smallest class (of formulas) containing besides all the instances of tautology the formulas of the forms: (a, b) (a, a), (a, b) (b,). (a, c) and (a, b) (b, c). (b, a) being closed under detachment. The purpose of this paper is to furnish another more constructive proof than that given earlier by one of us for: Theorem A is provable in L 1 iff TA is a thesis of first-order (...) predicate logic with equality, where T is a translation of the formulas of L 1 into those of first-order predicate logic with equality such that T(a, b) = FblxFax (Russeltian-type definite description), TA B = TA TB, T A = TA, etc. (shrink)
These essays are concerned with developing a dialogue between humanism and historical materialism in human geography, and to demonstrate the creative tension which emerges through the mediation of their different frames of reference.
We propose a new Real-coded GA(RCGA) using the combination of two crossovers, UNDX-m and EDX. The search region of UNDX-m is biased to the inside area that the population of the RCGA covers. Because of this search bias, the GA using UNDX-m causes stagnation of its search if the cost function has a kind of structure, so called, a ridge structure or a multiple-peak structure. In order to overcome this stagnation, we propose a new crossover EDX, whose search is biased (...) toward extrapolative one. Experimental results show that RCGA with EDX can deal with both ridge-structure function whose dimension reaches more than hundreds and multiple-peak function whose optimum resides at the corner of the search area. (shrink)
