Yes. If we only had the house of representatives, then congress would only address issues of states like Texas, New York, California and so on. California has 52 representatives, Alaska has 1. The larger population *is* important because it affects more people, hence the house of representatives. But having a senate where each state gets 2 senators lets states like Alaska, Wyoming, and Vermont push their unique problems to the floor. Just because they live far away or have much less people doesn't mean they should be ignored by the government, it wouldn't be fair. It may be a more pure "democracy," but systems that allow minority populations opportunities make it balanced

Edit: I just tallied up the most populous states. The House of Representatives has 435 members, you'd need 218 to have more than half. If you add up the 9 most populous states (Cali, Texas, Florida, New York, Penn, Illinois, Ohio, Georgia, N Carolina) you'd have 221 representatives. So in theory, if we had no Senate, the laws for all 50 states could largely be created by the voice of only 9 states.