空间的公理化解释作为四色定理证明的基础
An Axiomatic Account of Space as a basis for a Proof of the Four Colour Theorem
摘要：
给出了序列集的定义，序列集是由递归内部自相似的对象的结构化集合构成的集合。维度N的基本（几何）对象被认为是由维度N-1的基本对象的系列集合构成的，从分配给维度0的点开始。语法规则，使这些对象被系统地命名和组合，规定。一系列的正式证明定理有关的对象的尺寸1和2的工作通过。本文给出了四种颜色足以给任意五个区域的地图着色的证明。我知道大多数/所有会认为所有上述不可能的，和一定的工作一些疯狂。如果它是错误的，我相信它以有趣的方式是错误的。基本思想很容易理解，而不需要通过给出的定理，所以我很乐意听到任何人关于为什么它是错误的-而不仅仅是因为它必须是错误的。
英文摘要：
A definition is given of seriate sets as being sets constituted out of structured collections of objects which are recursively internally self- similar. Fundamental (geometrical) objects of Dimension N are conceived to be constituted out of seriate sets of fundamental objects of Dimension N-1, starting with points assigned to Dimension 0. Syntactical rules to enable such objects to be systematically named and combined, are set out. A series of formal proofs of theorems relative to objects of Dimensions 1 and 2 are worked through. A proof that four colours are sufficient to colour any five area map is given in illustration. I know most/all will think all the above impossible, and necessarily the work of some crazy. If it is wrong I believe it is wrong in interesting ways. The underlying idea is easily grasped without working through the theorems given, so I would be grateful to hear from anyone as to why it is wrong - and not simply because it must be so.
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。
