I discovered Conway and Doyle’s proof showing that division by three is possible in cardinal arithmetic without invoking the axiom of choice. The authors notably distributed their mathematical paper under the GNU General Public License.
Conway and Doyle prove that it is possible to divide by 3. The paper, which is distributed under the GPL, unfortunately comes without a warranty. (via Gimbo)
I believe the traditional "three Rs" must evolve: reading remains vital, but typing and computing have replaced handwriting and mental arithmetic. I plan to help schools prioritize Excel and digital literacy over outdated manual skills.
I found a resource for John Horton Conway's Game of Life patterns. It provides a collection of configurations and behaviors for the iconic cellular automata simulation, highlighting the diverse structures possible within the system.
This talk transcript shows how reshaping and joining mismatched maps unlocks political, administrative, and business insights that would otherwise stay hidden in disconnected geographic layers.
I explore why certain "proofs" that 1=2 fail, focusing on the danger of rearranging non-absolutely convergent series like the log 2 expansion. I explain how the Riemann series theorem allows divergent series to sum to different values.
I read 51 books in 2025, primarily using AI summarization to process 44 titles in a single week. My highlights include Bert Hölldobler’s The Ants and Brandon Sanderson’s Wind and Truth, alongside deep dives into biology and psychology.