Whether science has proven the absence of the Creator or, on the contrary, its very existence speaks for the intelligent design of the universe? Is our mind just the result of chance or a product of the Reason which rules the reality? Is beauty objective? Is there the world of ideas along with the world of appearances? These and many other problems are discussed in the book of the well-known theoretical physicist from the United States. In his book scientific and philosophical essays are interspersed with the author's personal recollections and anecdotes from the scientific life of some Russian and American universities.