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Person writing math equations on a chalkboard.

Discover how mathematics can help build fairer democracy through ranked choice voting, proportional representation, better districting, citizens’ assemblies, and AI.

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American Democracy Needs a Mathematical Revolution

Democracy, we like to think, runs on ideals like freedom, equality, the consent of the governed. But look under the hood and you'll find something less lofty – mathematics.

The idea that democracy depends on math is not new. From ancient Greece onward, votes had to be counted and seats had to be divided. Mathematics even shaped America’s founding. The Declaration of Independence is, at its core, a mathematical document. It opens with axioms—that all people possess certain unalienable rights—and then asserts a theorem: the British rule must end. And because no theorem is complete without a proof, the Declaration supplies one: "To prove this, let Facts be submitted to a candid world."

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How an 1876 Massacre of Black Men in South Carolina Turned Racial Terror Into Political Power

This statue on the grounds of the South Carolina State House honors violent segregationist Ben Tillman, who also served as governor and U.S. senator.

How an 1876 Massacre of Black Men in South Carolina Turned Racial Terror Into Political Power

As the U.S. celebrates its 250th anniversary, its citizens commemorate a democracy more diverse, free and inclusive than it’s ever been. The path to this milestone was imperfect and paved in blood and suffering. Still, few of the revelers will likely pay heed to the anniversary of another historic event: the 150th anniversary of the July 1876 Hamburg massacre.

The massacre, which took place in Hamburg, South Carolina, began as a dispute between a local Black militia and two white citizens over whether the latter could cross the group’s centennial Fourth of July parade. The militia leader, Doc Adams, was later charged with blocking a public highway.

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A crowd of supporters holding signs behind Senate candidate Dr. Abdul El-Sayed as he stands and speaks at a podium outside in front of a crowd.

The crowd cheers as Senate candidate Dr. Abdul El-Sayed speaks during the "People vs. the Powerful" rally in Lansing, Michigan, on July 19, 2026.

Rosem Morton for The 19th

Who Is Electable? Michigan’s Senate Primary Asks a Familiar Question.

DETROIT — Rep. Jim Clyburn of South Carolina, a top Black House Democrat, was making the case for a moderate politician running on boosting jobs and manufacturing. Six years ago, it was to crowds in his home state, arguing that Joe Biden was the best positioned to win in a general election. This time, it was on a stage in Detroit, for a candidate in one of 2026’s most hotly contested Senate primaries.

“I know what it takes to energize Democratic voters. I know she has what it takes to energize Democratic voters, and we need that,” Clyburn said alongside Rep. Haley Stevens, a candidate for U.S. Senate in Michigan, at a Teamsters hall in Detroit on Friday before the two rallied alongside Gov. Gretchen Whitmer.

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Voter receives a pen from poll worker at polling station.

A civic petition calling for constitutional restraint, civil discourse, bipartisan cooperation, and equal justice to strengthen American democracy and national unity.

SDI Productions/Getty Images

A Contemporary Olive Branch Petition

To the President of the United States, the Leaders of the Congress, and Our Fellow Americans Entrusted with the Powers of Government:

When, in the ordinary course of a free republic, disagreements arise among citizens concerning the proper exercise of power, it is neither unusual nor dishonorable that earnest convictions should differ. Such diversity has long been the strength of our nation, for liberty has never depended upon unanimity of opinion, but upon mutual respect under a common Constitution.

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