- 1
A googolplex is a number even more enormous: 1 followed by a googol of zeros, which is 10 to the power of a googol. You could not write it out. There is not enough paper — or space in the universe — for that many zeros. The same child, Milton Sirotta, built the name in 1920 from googol plus -plex. It was defined in the same 1940 book as googol. Though actually, “a bit bigger than a googol” does not capture it; a googolplex is not the next step up in ordinary counting. It is a googol zeros after the 1, which is a different kind of huge.
古戈爾普勒克斯
組成googol + -plex (here, a coined ending meaning this many times over). Named by Milton Sirotta in 1920; published in 1940.
同家族的字
- googolthe smaller huge number this one is built from
原始詞典資料3 筆記錄
以下是外部詞典記錄的用法,原文照列,我們還沒有寫成教學內容。上面的說明才是我們自己寫的;有些用法可能上面已經講過了。
googolplexnum/ˈɡuːɡəlplɛks/
- 1
The number 10^(10¹⁰⁰) or 10^( text )googol, ten to the power of a googol.
- The name "googol" was invented by a child (Dr. Kasner's nine-year-old nephew) who was asked to think up a name for a very big number, namely, 1 with a hundred zeros after it. He was very certain that this number was not infinite, and therefore equally certain that it had to have a name. At the same time that he suggested "googol" he gave a name for a still larger number: "Googolplex." A googolplex is much larger than a googol, but is still finite, as the inventor of the name was quick to point out. It was first suggested that a googolplex should be 1, followed by writing zeros until you got tired. This is a description of what would happen if one actually tried to write a googolplex, but different people get tired at different times and it would never do to have [Primo] Carnera a better mathematician than Dr. [Albert] Einstein, simply because he had more endurance. The googolplex then, is a specific finite number, with so many zeros after the 1 that the number of zeros is a googol. A googolplex is much bigger than a googol, much bigger than a googol times a googol. A googol times a googol would be 1 with 200 zeros, whereas a googolplex is one with a googol of zeros. You will get some idea of the size of this very large but finite number from the fact that there would not be enough room to write it, if you went to the farthest star, touring all the nebulae and putting down zeros every inch of the way.
- Consider that we can start with one googolplex and count: two googolplexes, three googolplexes and so on up to a googolplex googolplexes and beyond—and still not have reached infinity.
- 2
A countable number.
- Inflationary theory suggests that the entirety of space is vastly larger. Quantum theory suggests that there are many different copies of space of the same basic kind as ours (same laws of physics). String theory further suggests that there may be many different kinds of space. This whole collection of googolplexes of galaxies within each of googolplexes of different spaces within each of googols of kinds of space makes up an enormously vast universe or multiverse.
- In some unimaginable future, the universe will stretch so thin that the light from one galaxy would be unable to reach any other galaxy. Eventually, all the stars would burn out, and the universe would consist of the dead cinders of stars, black holes, and uncountable googolplexes of cubic light-years of cold, empty space.
- 3
rarebusinessreal-estateAn infinitesimally small portion of land, defined for legal purposes.
- To a mathematician, a googolplex is the figure 1 followed by a googol of zeroes (a googol being the figure 1 followed by a mere 100 zeroes). To a real-estate man, it's one infinitesimal parcel of a plot of land.
- Competition among bidders eventually resulted in the discovery of the "Googolplex," a quantity supposedly as near to nothing as possible—one over one with countless zeros [as the size of the portion of land the bidder would accept as security for a tax lien]. This, however, was not the limit of minuteness. The "Googolplex of a Googolplex," or "Gee Gee" for short, became the common bid in the sale of City of Miami tax certificates. There has apparently been no authoritative determination of the effect of an outstanding Miami tax certificate […]
資料來源:英文維基詞典 English Wiktionary(CC BY-SA 4.0)。 原文照列,未經改寫。