Research the objectivist philosophy. Read works by Ayn Rand, Leonard Piekoff and other objectivist writers. Consider how this philosophy relates to potential topics for your essay. Document all of the sources used in your research.
Choose a topic for the essay. This can range from a broad criticism or defense of objectivism to a specific critique of objectivism in a piece of literature or everyday life. Develop a thesis statement for the paper, taking a clear position with regard to the topic.
Write the body paragraphs of the essay. Use concrete details from your research and commentary to support the thesis statement.
Write the introduction to the essay. Start with an attention grabbing, broad statement that relates to the main idea of the paper. Continue with a couple of progressively less general and more specific statements about the topic. Finish the introduction with the thesis of the paper.
Conclude the essay with a paragraph that summarizes the main ideas of the paper and restates the position taken by the thesis statement. End the concluding paragraph with a final piece of commentary that leaves the reader thinking about the topic of the essay.
Create a References page that cites all of the research sources used in writing the paper.
Structure the essay with the introduction paragraph first, followed by the body paragraphs, the concluding paragraph and the References page.