可持续发展空间与场所概念衔接的空间善度递归定义
A Recursive Definition of Goodness of Space for Bridging the Concepts of Space and Place for Sustainability
摘要：
由克里斯托弗·亚历山大通过他一生的工作构思和发展：秩序的本质，整体被定义为我们周围的物理空间的数学结构。然而，正如亚历山大当时承认的那样，没有数学能够强大到足以捕捉他的整体概念。最近，一个整体性的数学模型及其拓扑表示已经被开发出来，它不仅能够解决为什么一个空间是好的，而且还能够解决这个空间有多大的好处。本文发展了一个结构的角度对空间的善良-无论是大规模和小规模-为了弥合空间和地方的两个基本概念，通过整体性的概念。整体性从整体和有机的角度提供了对空间善的事实上的递归定义。一个空间是好的，真正地和客观地，如果它的相邻空间是好的，它所属的更大的空间是好的，空间中包含的东西也是好的。最终，在新的空间观下，空间的善性--空间的可持续性--被认为是一个事实而不是一个观点：空间既不是无生命的，也不是中立的，而是一个有生命的结构，能够更有生命或更少生命，或者更可持续或更不可持续。在新的空间观下，地理学或建筑学将成为复杂性科学的一部分，不仅用于理解复杂性，而且用于制造和改造复杂或有生命的结构。关键词：标度律，头/尾断裂，生活结构，美，街道，城市
英文摘要：
Conceived and developed by Christopher Alexander through his life's work: The Nature of Order, wholeness is defined as a mathematical structure of physical space in our surroundings. Yet, there was no mathematics, as Alexander admitted then, that was powerful enough to capture his notion of wholeness. Recently, a mathematical model of wholeness, together with its topological representation, has been developed that is capable of addressing not only why a space is good, but also how much goodness the space has. This paper develops a structural perspective on goodness of space - both large- and small-scale - in order to bridge two basic concepts of space and place through the very concept of wholeness. The wholeness provides a de facto recursive definition of goodness of space from a holistic and organic point of view. A space is good, genuinely and objectively, if its adjacent spaces are good, the larger space to which it belongs is good, and what is contained in the space is also good. Eventually, goodness of space - sustainability of space - is considered a matter of fact rather than of opinion under the new view of space: space is neither lifeless nor neutral, but a living structure capable of being more living or less living, or more sustainable or less sustainable. Under the new view of space, geography or architecture will become part of complexity science, not only for understanding complexity, but also for making and remaking complex or living structures. Keywords: Scaling law, head/tail breaks, living structure, beauty, streets, cities
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
