Final answer:
Incognito mode, also known as Private or Anonymous browsing, is a feature in web browsers that doesn't save browsing history on the user's device but doesn't guarantee complete privacy or security.
Step-by-step explanation:
The option in web browsers like Internet Explorer, Edge, Chrome, and Safari that allows you to browse the web without leaving any history on the computer is called Incognito mode, also known as Private browsing or Anonymous browsing. While these features do not maintain a record of your browsing history on your device, it's important to remember that this does not equate to complete online anonymity or security. Your internet service provider, employer, or the websites you visit may still track your online activities.
To find out more about Internet privacy and security, exploring resources about privacy rights can be quite enlightening. This knowledge can be particularly useful when considering the history of web browsers and their market share, such as the antitrust cases involving Microsoft's Internet Explorer and default search engine practices.