无限

The question on potential infinity and actual infinity in the objective of cognition, involved by the two paradoxes, is still a challenge in academic community.

这两个悖论所涉及的认知对象之潜无限和实无限的问题，至今仍是学界研究的难题。

Thus, the study connecting the two and the review in terms of the property of pragmatics of logical paradoxes will help furthering the modern philosophical epistemology, especially the knowledge of potential infinity and actual infinity, and even the creation of specific scientific theories.

以逻辑悖论的语用学性质重新审视这两个古老悖论，并作贯通研究，对于推进当代哲学认识论特别是对潜无限和实无限问题的认识，乃至于推动具体科学理论创新都具有重要的认知价值。

Adieu, my friend, I thank you as tenderly as I shall love you always.

再见了，我的朋友，我将用无限的温柔来感谢你，如同我一直用无限的温柔来爱你那样。

Another area of study is size, which leads to the cardinal numbers and then to another conception of infinity: the aleph numbers , which allow meaningful comparison of the size of infinitely large sets.

另一项研究的领域是大小，这引起了基数，然后引起了无限的另一个概念：在阿莱夫数，使无限的大套的规模有意义的比较。

There are series of papers studying the solvability of an incompressible, viscous, instationary fluid contained in a domian bounded entirely by a free surface. In 1977, Solonnikov proved its local solvability in a Holder space for any initial date but without surface tension. In 1984, he considered the same problem in a Sobolev space with surface tension being taken into account. In I992, Mogilevskii and Solonnikov treated the same problem in a Holder space, where the coefficient of surface tension is not a constant. There are also short-time existence results for the solvability of an incompressible, vicous, unsteady fluid bounded above by a free surface and below by a fixed bottom which approach horizontal planes at infinity. In 1981, Beale proved its local solvability in a Sobolev space for any initial date but without surface tension. In 1983, Allain were concerned with the same problem in R〓 with surface tension but under the assumption that the initial fluid domain was near a horizontal strip. In 1987, he obtained the same result without the preceding assumption. In 1996, Tani solved the same problem in R with surface tension. For the solvability of an incompressible viscous instationary fluid in Ω R bounded inside by a free surface S and outside by a rotating boundary S, in 1995 Ciuperca proved its local existence in a Sobolev space for any initial date but without surface tension. In this paper, we consider the same problem with surface tension.

对于边界完全是由自由边界组成的有界区域中粘性不可压流体的非定常运动问题，Solonnikcv于1977年在忽略表面张力情况下证明了初值问题小时间解在Holder空间的存在性，于1984年在有表面张力情况下证明了初值问题问题小时间解在Sobolev空间的存在性，Mogilevskii和Solonnikov于1992年在表面张力系数可以不是常数情况下证明了初值问题小时间解在Holder空间的存在性；对于上面是自由边界、下面是固定边界且两边界在无限处趋于水平的无限区域中粘性不可压流体的非定常运动问题，Beale于1981年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，Allain于1983年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性，但其中假定初始区域近似是个水平条，他于1987年去掉了这个假定得到同样的结果，Tani于1996年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性；对于R中内面是自由边界、外面是旋转边界S的有界区域中粘性不可压流体的非定常运动问题，Ciuperca于1995年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性，本文考虑了在有表面张力情况下初值问题可解性问题。

In years past, in fact, they held to the Aristotelian idea of a universe that was "ungenerated and indestructible," with an infinite past and an infinite future.

事实上，在过去的岁月里，他们坚持亚里士多德的"无生无毁"的宇宙观念，即过去是无限的，未来也是无限的。

Huge government spending; huge country estates; huge popular demand for higher education; a huge wave; the Los Angeles aqueduct winds like an immense snake along the base of the mountains; immense numbers of birds; at vast expense; the vast reaches of outer space; the vast accumulation of knowledge...which we call civilization- W.R.

巨额政府开销；巨额国家财产；对于高等教育的普遍的强烈需求；巨浪；洛杉矶导风渠象一条蜿蜒山底的巨蟒；大量的鸟；以巨额的代价；外层空间的无限延伸；知识的无限积累……我们称作文明-w.r。

Winds like an immense snake along the base of the mountains; immense numbers of birds; at vast expense; the vast reaches of outer space; the vast accumulation of knowledge...which we call civilization- W.R.

巨额政府开销；巨额国家财产；对于高等教育的普遍的强烈需求；巨浪；洛杉矶导风渠象一条蜿蜒山底的巨蟒；大量的鸟；以巨额的代价；外层空间的无限延伸；知识的无限积累……我们称作文明-w.r。

He wrote several extreme articles to attaint and attack China and Chinese.

他利用中国的一些弱点和阴暗面并把它无限的描黑，无限的扩大化。

I am a lantern — My head a moon Of Japanese paper, my gold beaten skin Infinitely delicate and infinitely expensive.

我是个灯笼——我的头是日本纸做的月亮，我那锤薄了的金色皮肤无限娇嫩，无限昂贵。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。