WHY did we create a government with no executive branch meaning we had NO PRESIDENT?

The power of the Executive Branch is vested in the President of the United States, ... These departments and agencies have missions and responsibilities as widely ... Cabinet — carry out the day-to-day administration of the federal government. ... that the President is no longer able to discharge the duties of the presidency.

It's important that we know where and how we came to be. For example we wouldn't really understand why you're a certain religion if we didn't know who settled the land and what happened. Not only that, but also a lot of things happened back then, a civil war, WWI and WWII, the Cold war, war of 1812, that made things what it is present day. Also history makes sure that we can honor people for freedom, such as Abe Lincoln who freed slaves. The point I'm making here is that history is a way to remember important events that have effected many things and many places and without keeping track of history (for example if we didn't keep track of the Constitution) we wouldn't have the somewhat peaceful society of today.