- Thomas Jefferson (April 13, 1743 – July 4, 1826) was an American statesman, planter, diplomat, lawyer, architect, philosopher, and Founding Father who served as the third president of the United States from 1801 to 1809. He was the primary author of the Declaration of Independence. Following the American Revolutionary War and before becoming president in 1801, Jefferson was the nation’s first U.S. secretary of state under George Washington and then the nation’s second vice president under John Adams. Jefferson was a leading proponent of democracy, republicanism, and natural rights, and he produced formative documents and decisions at the state, national, and international levels.
- The Axiom of Choice (Stanford Encyclopedia of Philosophy)
The principle of set theory known as the Axiom of Choice has been hailed as “probably the most interesting and, in spite of its late appearance, the most discussed axiom of mathematics, second only to Euclid’s axiom of parallels which was introduced more than two thousand years ago” (Fraenkel, Bar-Hillel & Levy 1973, §II.4). The fulsomeness of this description might lead those unfamiliar with the axiom to expect it to be as startling as, say, the Principle of the Constancy of the Velocity of Light or the Heisenberg Uncertainty Principle. But in fact the Axiom of Choice as it is usually stated appears humdrum, even self-evident. For it amounts to nothing more than the claim that, given any collection of mutually disjoint nonempty sets, it is possible to assemble a new set—a transversal or choice set—containing exactly one element from each member of the given collection. Nevertheless, this seemingly innocuous principle has far-reaching mathematical consequences—many indispensable, some startling—and has come to figure prominently in discussions on the foundations of mathematics. It (or its equivalents) have been employed in countless mathematical papers, and a number of monographs have been exclusively devoted to it.
- Jefferson was born on April 13, 1743 (April 2, 1743, Old Style, Julian calendar), at the family’s Shadwell Plantation in the British Colony of Virginia, the third of ten children.
- Jefferson died on July 4, 1826, at 12:50 p.m. at age 83, on the 50th anniversary of the adoption of the Declaration of Independence.
- HERE WAS BURIED THOMAS JEFFERSON, AUTHOR OF THE DECLARATION OF AMERICAN INDEPENDENCE, OF THE STATUTE OF VIRGINIA FOR RELIGIOUS FREEDOM, AND FATHER OF THE UNIVERSITY OF VIRGINIA.
- Jefferson was sworn in as president by Chief Justice John Marshall at the new Capitol in Washington, D.C., on March 4, 1801.