1,551 research outputs found
On Hegel’s View of Dialectical Infinity
Get PDFIt is well known that the problem of finity and infinity is the basic problem of mathematics, and it is also the basic problem of Philosophy. From the perspective of philosophy and mathematics, this paper comprehensively reviews and analyzes Hegel’s view of dialectical infinity, introduces Engels’discussion on infinity, deeply analyzes the characteristics of the thought of actual infinity, and points out: Hegel’s thought of real infinity is completely different from the thought of actual infinity, the Being of infinity (objective infinity) is not equal to the completed infinity (subjective infinity), the mathematical limit is a real infinity, and real infinity is the inner law of infinite things and truth; the view of actual infinity views the objective material world from the viewpoint of static rather than motion, denying the contradiction between finity and infinity, so it is actually a downright idealist. In this paper, the author puts forward the Infinite Exchange Paradox, which strongly questions the idea of actual infinity in Hilbert Hotel Problem, and points out the internal irreconcilable contradiction in the idea of actual infinity. At the same time, we made a detailed comparison of Hegel’s view of infinity and the view of mathematical infinity, and on this basis, the author gives a complete definition of the view of dialectical infinity: abandoning the wrong aspects of the potential infinity and actual infinity, and actively absorbing correct aspects of both, that is, not only to recognize the existence and knowability of infinite objectivity, but also to admit the imcompletion of infinite process. The reexcavation of Hegel’s view of dialectical infinity and the criticism of the actual infinity thought aim to find possible philosophical solutions for Russell’s Paradox and the problem of Continuum Hypothesis
Whose story is it anyway? The ethics of narration and the narration of ethics in Summertime and Die Sneeuslaper
No full textIncludes bibliographical references.This dissertation analyses and compares the narrative strategies in J.M. Coetzee’s Summertime and Marlene van Niekerk’s Die sneeuslaper and considers the implications of these strategies for the authors’ exploration of the ethics of writing. Much has been written about the literary oeuvres of both Coetzee and Van Niekerk, including studies of the translations of Van Niekerk’s Afrikaans novels into English. There are few “interlingual” comparative studies of contemporary works in Afrikaans and English, however, and certainly none to my knowledge which compares the work of Coetzee and Van Niekerk. My contribution to the conversation about Coetzee’s and Van Niekerk’s work, but also to an increasingly multilingual and interconnected South African literary criticism, will be a comparison of one recent work by each of these two authors, written in English and Afrikaans respectively. I draw on the theories of Bakhtin, Barthes and Levinas to consider the ethical dimension of texts in which “double-voicedness”, a questioning not only of existence, but of the self is fore grounded in the content and narrative structure; where there is a shift in focus from the author to the reader (“the birth of the reader”) and “utterances” are made with the response of “the other” in mind
Thermal Physiology of the Giant Day Gecko, Phelsuma grandis
No full textEctotherms rely on their environment to regulate and maintain their body temperature. That being so, environmental fluctuations have a strong impact on their biology. Lizards are ectotherms that are suitable models to investigate thermal physiology, however, the bulk of this research has been studied using new world Anolis lizards. In this study, the giant day gecko, Phelsuma grandis, native to Madagascar but captive bred in Florida, was selected as a model for comparison. Thermoregulation in P. grandis may be distinct from Anolis, whose ancestors were diurnal. In contrast, this species is diurnal but evolved from nocturnal ancestry. In our physiotype of P. grandis we include measurements of metabolic rate, performance (sprint speed), and thermal preference. This research will provide an additional set of data to evaluate the sensitivity of ectotherms to a changing climate, while also providing insights into the thermal biology of a species that has secondarily evolved diurnality
The Asymptotic Properties of the System GMM Estimator in Dynamic Panel Data Models When Both N and T are Large
Get PDFThis paper complements Alvarez and Arellano (2003) by showing the asymptotic properties of the system GMM estimator for AR(1) panel data models when both N and T tend to infinity. We show that the system GMM estimator with the instruments which Blundell and Bond (1998) used will be inconsistent when both N and T are large. We also show that the system GMM estimator with all available instruments, including redundant ones, will be consistent if ƒÐ ƒÅ 2/ƒÐ v2 = 1-ƒ¿ holds.
GLOBAL FORMALITY AT THE G(infinity)-LEVEL
No full textIn this paper we prove that the sheaf of L-polydifferential operators for a locally free Lie algebroid L is formal when viewed as a sheaf of G(infinity)-algebras via Tamarkin's morphism of DG-operads G(infinity) -> B-infinity. In an appendix we prove a strengthening of Halbout's globalization result for Tamarkin's local quasi-isomorphism.At the final stage of this work, the first named author has been supported by the European Union thanks to a Marie Curie Intra-European fellowship (contract number MEIF-CT-2007-042212). The second named author is a director of research at the FWO. The results of this paper were partially obtained while the second named author was visiting the Universite Claude Bernard at Lyon. He here by thanks the latter for its kind hospitalit
GLOBAL FORMALITY AT THE G(infinity)-LEVEL
No full textIn this paper we prove that the sheaf of L-polydifferential operators for a locally free Lie algebroid L is formal when viewed as a sheaf of G(infinity)-algebras via Tamarkin's morphism of DG-operads G(infinity) -> B-infinity. In an appendix we prove a strengthening of Halbout's globalization result for Tamarkin's local quasi-isomorphism.At the final stage of this work, the first named author has been supported by the European Union thanks to a Marie Curie Intra-European fellowship (contract number MEIF-CT-2007-042212). The second named author is a director of research at the FWO. The results of this paper were partially obtained while the second named author was visiting the Universite Claude Bernard at Lyon. He here by thanks the latter for its kind hospitalit
Dialectical Infinity and the Third Mathematical Crisis —On the Fundamental Error of Actual Infinity
Get PDFThis paper discusses the problem of finity and infinity based on the philosophical perspectives of opposing idealism and receiving dialectical materialism. Based on Hegel’s dialectical infinity view, this paper makes a comprehensive criticism of the thought of actual infinity. After Hegel’s dialectical infinite thought scientifically explained the limit concept in calculus, the Second Mathematical Crisis caused by the contradiction of infinitesimal quantity was solved thoroughly. However, the mathematics world has not learned the experience and lessons in history, has always adhered to the idealist thought and methodology of actual infinity, this thought finally brought the third crisis to mathematics. At the end of this paper, based on the infinite view of dialectical materialism, the author analyzes the Principle of Comprehension and the Maximum Ordinal Paradox, and points out that the essence of the Principle of Comprehension is a kind of actual infinity thought. Only by limiting the Principle of Comprehension to a potential infinity can we solve the Third Mathematical Crisis completely
THERMAL PHYSIOLOGY OF THE GIANT DAY GECKO, PHELSUMA GRANDIS
Get PDFEctotherms rely on their environment to regulate and maintain their body temperature. For this reason, environmental fluctuations strongly impact their biology. Lizards are ectotherms that are suitable models to investigate thermal physiology. However, the bulk of this research has been studied using new world Anolis lizards. In this study, the giant day gecko, (P.grandis), native to Madagascar but invasive in Florida, was selected as a model for comparison. In our physiotype of P.grandis we included measurements such as metabolic rates, sprint speed at relevant temperatures, thermal preference, critical thermal minimum, and voluntary thermal maximum. Our findings showed that the geckos maintained a relatively stable metabolic rate across relevant temperatures. As expected, their thermal preference was relatively near the voluntary thermal maximum. These results suggest that P.grandis has adapted well to warm environments. However, the stable metabolic rate may be a result of secondarily evolving diurnality
The Neighbourhood of Infinity
Get PDFFanzine dedicated to the work of Mark E Smith and The Fall. Collaboration between myself and artists, Inge Marleen and David Powell. Sole author of text:
“And then I heard a voice say, ‘Hey, you’re lost in music.’
On rectification and enrichment of infinity properads
Get PDFWe develop a theory of infinity properads enriched in a general symmetricmonoidal infinity category. These are defined as presheaves, satisfying a Segalcondition and a Rezk completeness condition, over certain categories of graphs.In particular, we introduce a new category of level graphs which also allow usto give a framework for algebras over an enriched infinity properad. We showthat one can vary the category of graphs without changing the underlyingtheory. We also show that infinity properads cannot always be rectified, indicatingthat a conjecture of the second author and Robertson is unlikely to hold. Thisstands in stark contrast to the situation for infinity operads, and we furtherdemarcate these situations by examining the cases of infinity dioperads andinfinity output properads. In both cases, we provide a rectification theoremthat says that each up-to-homotopy object is equivalent to a strict one.<br
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