Final answer:
The concept at the core of the freedoms of expression and press is Freedom of Speech, which allows individuals to express their opinions, ideas, and beliefs without fear of censorship or punishment.
Step-by-step explanation:
The concept that is at the core of the freedoms of expression and press is Freedom of Speech. Freedom of Speech is based on the belief that true and free political discourse depends on a free and unrestrained discussion of ideas. It allows individuals to express their opinions, ideas, and beliefs without fear of censorship or punishment. This freedom is protected by the First Amendment of the United States Bill of Rights and is essential for a healthy democracy.