Google is not a conventional company. We do not intend to become one. From the start, we’ve always strived to do more, and to do important and meaningful things with the resources we what number in the alphabet is t. We did a lot of things that seemed crazy at the time.
We are still trying to do things other people think are crazy but we are super excited about. We’ve long believed that over time companies tend to get comfortable doing the same thing, just making incremental changes. But in the technology industry, where revolutionary ideas drive the next big growth areas, you need to be a bit uncomfortable to stay relevant. Our company is operating well today, but we think we can make it cleaner and more accountable. So we are creating a new company, called Alphabet. I am really excited to be running Alphabet as CEO with help from my capable partner, Sergey, as President.
Alphabet is mostly a collection of companies. The largest of which, of course, is Google. This newer Google is a bit slimmed down, with the companies that are pretty far afield of our main internet products contained in Alphabet instead. What do we mean by far afield? Alphabet is about businesses prospering through strong leaders and independence. In general, our model is to have a strong CEO who runs each business, with Sergey and me in service to them as needed.
We will rigorously handle capital allocation and work to make sure each business is executing well. We’ll also make sure we have a great CEO for each business, and we’ll determine their compensation. This new structure will allow us to keep tremendous focus on the extraordinary opportunities we have inside of Google. A key part of this is Sundar Pichai. I’ve been tremendously enjoying our work together. He has really stepped up since October of last year, when he took on product and engineering responsibility for our internet businesses.
Sergey and I are seriously in the business of starting new things. Alphabet will also include our X lab, which incubates new efforts like Wing, our drone delivery effort. We are also stoked about growing our investment arms, Ventures and Capital, as part of this new structure. Google will automatically convert into the same number of shares of Alphabet, with all of the same rights. Google will become a wholly-owned subsidiary of Alphabet. Our two classes of shares will continue to trade on Nasdaq as GOOGL and GOOG.
For Sergey and me this is a very exciting new chapter in the life of Google—the birth of Alphabet. We liked the name Alphabet because it means a collection of letters that represent language, one of humanity’s most important innovations, and is the core of how we index with Google search! Empowering great entrepreneurs and companies to flourish. Investing at the scale of the opportunities and resources we see.
Improving the transparency and oversight of what we’re doing. Making Google even better through greater focus. No wonder we are excited to get to work with everyone in the Alphabet family. Don’t worry, we’re still getting used to the name too!
The concept and notation are due to Georg Cantor, who defined the notion of cardinality and realized that infinite sets can have different cardinalities. 2, ω2, ωω and ε0 are among the countably infinite sets. This ω1 is itself an ordinal number larger than all countable ones, so it is an uncountable set. Using the axiom of choice we can show one of the most useful properties of the set ω1: any countable subset of ω1 has an upper bound in ω1.
This follows from the fact that a countable union of countable sets is countable, one of the most common applications of the axiom of choice. 1 is actually a useful concept, if somewhat exotic-sounding. The CH states that there is no set whose cardinality is strictly between that of the integers and the real numbers. For example, for any successor ordinal α this holds.