数学中的精神性

IF 0.8 0 RELIGION
Volker Kessler
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引用次数: 6

摘要

本文是关于数学的精神性。在现象学的方法中,我分析了一些数学家在做数学时的精神体验。通过分析20世纪和21世纪西方数学家的自传笔记,我得出结论,灵性可以通过四种可能的途径进入数学:(1)实用柏拉图主义;(2)美学,即美在数学中的作用;(3)模式研究;(4)内在理解和内在愿景的作用。例子表明,即使是坚定的无神论者也能在这些方面的数学研究中体验到灵性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spirituality in mathematics
ABSTRACT This paper is about spirituality in mathematics. In a phenomenological approach, I analyse spiritual experiences that some mathematicians have while doing mathematics. By analysing autobiographical notes from Western mathematicians of the 20th and 21st century, I conclude that there are four possible gateways by which spirituality can enter mathematics: (1) pragmatic Platonism; (2) aesthetics, that is, the role of beauty within mathematics; (3) the study of patterns; and (4) the role of inner understanding and inner vision. Examples show that even committed atheists experience spirituality in mathematical research in these terms.
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来源期刊
CiteScore
2.50
自引率
7.10%
发文量
25
期刊介绍: Journal for the Study of Spirituality is a peer-reviewed journal which creates a unique interdisciplinary, inter-professional and cross-cultural forum where researchers, scholars and others engaged in the study and practices of spirituality can share and debate the research, knowledge, wisdom and insight associated with spirituality and contemporary spirituality studies. The British Association for the Study of Spirituality (BASS) organises a biennial international conference and welcomes enquiries about membership from those interested in the study of spirituality in the UK and worldwide. The journal is concerned with what spirituality means, and how it is expressed, in individuals’ lives and communities and in professional practice settings; and with the impact and implications of spirituality in, and on, social policy, organizational practices and personal and professional development. The journal recognises that spirituality and spiritual values can be expressed and studied in secular contexts, including in scientific and professional practice settings, as well as within faith and wisdom traditions. Thus, Journal for the Study of Spirituality particularly welcomes contributions that: identify new agendas for research into spirituality within and across subject disciplines and professions; explore different epistemological and methodological approaches to the study of spirituality; introduce comparative perspectives and insights drawn from different cultures and/or professional practice settings; aim to apply and develop sustained reflection, investigation and critique in relation to spirituality and spiritual practices; critically examine the values and presuppositions underpinning different forms of spirituality and spiritual practices; incorporate different forms of writing and expressions of spirituality.
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