Restructuring Lattice Theory: An Approach Based on Hierarchies of Concepts

Restructuring Lattice Theory: An Approach Based on Hierarchies of Concepts
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DOI:
10.1007/978-3-642-01815-2_23
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发表时间:
2009-05
期刊:
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通讯作者:
R. Wille
R. Wille
中科院分区:
其他
文献类型:
--
作者:
R. Wille

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格点理论今天反映了当前数学的一般状况:有丰富的理论概念、结果和发展,其中许多是通过精心的心理体操达到的;另一方面,理论与其周围环境的联系越来越弱,其结果是理论,甚至它的许多部分变得更加孤立。重构晶格理论是一种尝试,通过尽可能具体地解释理论来重振与我们一般文化的联系,并以这种方式促进晶格理论家和晶格理论的潜在用户之间更好的沟通。
Lattice theory today reflects the general Status of current mathematics: there is a rich production of theoretical concepts, results, and developments, many of which are reached by elaborate mental gymnastics; on the other hand, the connections of the theory to its surroundings are getting weaker and weaker, with the result that the theory and even many of its parts become more isolated. Restructuring lattice theory is an attempt to reinvigorate connections with our general culture by interpreting the theory as concretely as possible, and in this way to promote better communication between lattice theorists and potential users of lattice theory.