「Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number.」- 格奥尔格·康托尔经典语录

"

Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number.

格奥尔格·康托尔 格奥尔格·康托尔
💡 解读： 每一个超限的一致多重性，即每一个超限集合，必须有一个确定的阿列夫作为其基数。
👤 更多 格奥尔格·康托尔 经典语录 4句
A set is a Many that allows itself to be thought of as a One.
格奥尔格·康托尔 格奥尔格·康托尔
In mathematics, the art of proposing a question must be held of higher value than solving it.
格奥尔格·康托尔 格奥尔格·康托尔
The essence of mathematics lies in its freedom.
格奥尔格·康托尔 格奥尔格·康托尔
The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number, or order type.
格奥尔格·康托尔 格奥尔格·康托尔
🔥 热门推荐 10句
但是在这里，真正属于我的世界只有脚下的小路那么宽。我一步也不会离开这条路。我从不曾需要多么宽阔的通道，能侧身而过就足够了。像鸟在天空侧身飞翔，鱼在大海里侧身遨游，我从来不曾渴望过全部的世界。我只是经过这个世界，去向的一个小小的所在。我只依赖熟知的事物而生活，我心有牵挂，不想迷路，不想回不了家。我在山野里，游荡在节制之中。但已经感到足够的自由。
李娟 李娟
但愿同入梦。
琼瑶 琼瑶
悲伤就是知识
拜伦 拜伦
表面看起来糟糕的事，本质上却往往并非如此。
塞涅卡 塞涅卡
我绝不坚信这个时代没有放之四海而皆准的正义和良善的价值观，它们不仅仅有，而且不是朝令夕改流动无常的，它们是稳定而永恒的。
亚历山大·索尔仁尼琴 亚历山大·索尔仁尼琴
我们根本没想到要怀疑或轻视“历史的启示”；历史就是我们的一切。
恩格斯 恩格斯
奇花与丽日争妍，翠竹共青天斗碧。
吴承恩 吴承恩
大家礼义教子弟，小家凶恶训儿郎。
周希陶 周希陶
人人为我，我为人人。
列宁 列宁
真理就是自由人的祖国。真理不存在于丑化了的现实里。生命的第一个行动就是创造的行动。在争论中是不分高贵卑鄙，也不管称号姓氏的，重要的只是真理，在它面前人人平等。
罗曼·罗兰 罗曼·罗兰
首页 › 作家 › 💬 查看更多 40句相邻名言
I have had my results for a long time, but I do not yet know how I am to arrive at them.
数学王子 数学王子
数论、代数、分析领域奠基人
The enchanting charms of this sublime science reveal themselves in all their beauty only to those who have the courage to go deeply into it.
数学王子 数学王子
数论、代数、分析领域奠基人
You have no idea how much poetry there is in a table of logarithms.
数学王子 数学王子
数论、代数、分析领域奠基人
I have had my results for a long time, but I do not yet know how to arrive at them.
数学王子 数学王子
数论、代数、分析领域奠基人
Die Mathematik ist die Wissenschaft von den Beziehungen zwischen den Begriffen, unabhängig von deren Inhalt.
数学王子 数学王子
数论、代数、分析领域奠基人
Nothing takes place in the world whose meaning is not that of some maximum or minimum.
莱昂哈德·欧拉 莱昂哈德·欧拉
发展了无穷小分析，引入现代数学符号
Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.
莱昂哈德·欧拉 莱昂哈德·欧拉
发展了无穷小分析，引入现代数学符号
The study of mathematics is the indispensable basis for all exact knowledge of natural phenomena.
莱昂哈德·欧拉 莱昂哈德·欧拉
发展了无穷小分析，引入现代数学符号
For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.
莱昂哈德·欧拉 莱昂哈德·欧拉
发展了无穷小分析，引入现代数学符号
Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena.
莱昂哈德·欧拉 莱昂哈德·欧拉
发展了无穷小分析，引入现代数学符号
Since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.
莱昂哈德·欧拉 莱昂哈德·欧拉
发展了无穷小分析，引入现代数学符号
The study of mathematics is the indispensable basis for all intellectual and spiritual progress.
莱昂哈德·欧拉 莱昂哈德·欧拉
发展了无穷小分析，引入现代数学符号
I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the seashore.
艾萨克·牛顿 艾萨克·牛顿
经典力学奠基人
We are to admit no more causes of natural things than such as are both true and sufficient to explain their appearances.
艾萨克·牛顿 艾萨克·牛顿
经典力学奠基人
No great discovery was ever made without a bold guess.
艾萨克·牛顿 艾萨克·牛顿
经典力学奠基人
Gravity explains the motions of the planets, but it cannot explain who set the planets in motion.
艾萨克·牛顿 艾萨克·牛顿
经典力学奠基人
The essence of mathematics lies in its freedom.
格奥尔格·康托尔 格奥尔格·康托尔
集合论奠基人，研究无穷集合
A set is a Many that allows itself to be thought of as a One.
格奥尔格·康托尔 格奥尔格·康托尔
集合论奠基人，研究无穷集合
The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number, or order type.
格奥尔格·康托尔 格奥尔格·康托尔
集合论奠基人，研究无穷集合
In mathematics, the art of proposing a question must be held of higher value than solving it.
格奥尔格·康托尔 格奥尔格·康托尔
集合论奠基人，研究无穷集合
An equation means nothing to me unless it expresses a thought of God.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
The divergent series are the invention of the devil, and it is a shame to base on them any demonstration whatsoever.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
I have not trodden through the conventional regular course which is followed in a University course, but I am striking out a new path for myself.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
Theorems are of no value unless they are beautiful.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
God has given me the power to see the analogies which connect different parts of mathematics.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
Theorems excited me; proofs bored me. My mind was not built for the tedious, meticulous work of proving what I knew to be true.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
The divergent series are the invention of the devil, and it is a shame to base any proof upon them.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
Theorems are of course the permanent wealth of mathematics.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
The number of prime numbers less than a given number is a function of that number.
斯里尼瓦瑟·拉马努金 斯里尼瓦瑟·拉马努金
数论与无穷级数大师
Finally we shall place the Sun himself at the center of the Universe.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
Mathematics is written for mathematicians.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
For I am not so enamored of my own opinions that I disregard what others may think of them.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
The earth together with its circumjacent waters must in fact have such a shape as its shadow reveals, for it eclipses the moon with the arc of a perfect circle.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
To know the mighty works of God, to comprehend His wisdom and majesty and power; to appreciate, in degree, the wonderful workings of His laws, surely all this must be a pleasing and acceptable mode of worship to the Most High, to whom ignorance cannot be more grateful than knowledge.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
The earth also is spherical, since it presses upon its center from every direction.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
To know that we know what we know, and to know that we do not know what we do not know, that is true knowledge.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
The universe has been wrought for us by a supremely good and orderly Creator.
尼古拉·哥白尼 尼古拉·哥白尼
提出日心说，颠覆地心说
Nature is relentless and unchangeable, and it is indifferent as to whether its hidden reasons and actions are understandable to man or not.
伽利略 伽利略
改进望远镜，支持日心说
I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use.
伽利略 伽利略
改进望远镜，支持日心说
In questions of science, the authority of a thousand is not worth the humble reasoning of a single individual.
伽利略 伽利略
改进望远镜，支持日心说
🎲 随机 · 灵感闪现 ✨ 名言如星，拾光而行