1. Noun: When referring to the addition at the end of a letter or document, "postscript" is a noun.
* Example: "I added a postscript to my letter explaining the delay."
2. Adjective: When used to describe something as being added after the main part, "postscript" is an adjective.
* Example: "The postscript chapter in the book explained the author's inspiration."
Therefore, the part of speech for "postscript" is determined by its context.