Kepler Conjecture
A mathematical conjecture concerning the densest possible arrangement of spheres in three-dimensional space, whose proof was completed through formal verification by Thomas Hales.
Core Facts
Timeline (last 90 days)
Lean's mathlib library continues to accumulate formalized theorems, and the four color theorem, the Kepler conjecture and others have all been partially or fully formalized.
Some mathematicians believe that proofs which cannot be verified step by step by the human brain do not carry sufficient mathematical meaning.
The proofs of the four-color theorem and Kepler's conjecture both involved computer assistance, sparking philosophical discussions about whether humans truly understand these proofs.
Thomas Hales' team completed the formal verification of the Kepler conjecture (the Flyspeck project) in 2017.
The formalization of the Kepler conjecture (the Flyspeck project) was completed in 2014 by Thomas Hales' team using HOL Light and Isabelle, taking approximately 20 person-years
The formalization of the Kepler conjecture was completed by the Flyspeck project in 2014.
All Facts (6)
The proofs of the four-color theorem and Kepler's conjecture both involved computer assistance, sparking philosophical discussions about whether humans truly understand these proofs.
65%UnverifiedLean's mathlib library continues to accumulate formalized theorems, and the four color theorem, the Kepler conjecture and others have all been partially or fully formalized.
50%UnverifiedSome mathematicians believe that proofs which cannot be verified step by step by the human brain do not carry sufficient mathematical meaning.
50%UnverifiedThomas Hales' team completed the formal verification of the Kepler conjecture (the Flyspeck project) in 2017.
50%UnverifiedThe formalization of the Kepler conjecture was completed by the Flyspeck project in 2014.
50%UnverifiedThe formalization of the Kepler conjecture (the Flyspeck project) was completed in 2014 by Thomas Hales' team using HOL Light and Isabelle, taking approximately 20 person-years
50%