“We have serious problems in this country but we can't begin to solve them until we solve this shrill deadlock.”
Stating that he was considering a run as an Independent for US Senate after Olympia Snowe's surprise announcement that she would be retiring from it, as quoted in "Olympia Snowe Retirement Causes Maine Scramble" in the Associated Press (29 February 2012) http://www.huffingtonpost.com/2012/02/29/olympia-snowe-retirement-maine_n_1310524.html
Context: I'm giving it some thought for the very reason that Olympia quit. It's just not working down there and maybe we need to try something different. … We have serious problems in this country but we can't begin to solve them until we solve this shrill deadlock.
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Angus King 19
United States Senator from Maine 1944Related quotes
“We cannot solve life's problems except by solving them.”
Source: The Road Less Traveled: A New Psychology of Love, Traditional Values, and Spiritual Growth

Source: Christianity and the Social Crisis (1907), Introduction, p. xi

“We cannot solve our problems with the same thinking we used when we created them.”

“We cannot solve the problems using the same kind of thinking we used when we created them”
"Einstein's famous saying in Copenhagen", as quoted in a FBIS Daily Report https://books.google.de/books?id=DfQTAQAAMAAJ&q=%22We+cannot+solve%22: East Europe (4 April 1995), p. 45
Disputed

“If knowledge can create problems, it is not through ignorance that we can solve them.”

“The scum of the world is arriving in Brazil, as if we didn’t have enough problems to solve.”
About Senegalese, Haitians, Iranians, Bolivians and Syrians in an interview https://www.jornalopcao.com.br/ultimas-noticias/ouca-entrevista-em-que-bolsonaro-chama-refugiados-de-escoria-e-sugere-infarto-a-dilma-46313/ to Jornal Opção on 17 September 2015. Conservative’s Star Rises in Brazil as Polarizing Views Tap Into Discontent https://www.nytimes.com/2016/05/08/world/americas/conservatives-star-rises-in-brazil-as-polarizing-views-tap-into-discontent.html. The New York Times (7 May 2016).