I believe you're referring to "objectivity", not "objective" here. The resume should include only factual statements about your past employment, training, and education.
A business letter should not be included in your resumé. You can even send it with your resumé, but it shouldn't be included in it. The informations regarding your education, contact information, your objective, and employment history are a MUST in a resumé and should always be included.
Modernism is a period in literary history which started around the early 1900s and continued until the early 1940s. Modernist writers in general rebelled against clear-cut storytelling and formulaic verse from the 19th century.