A Problem Squared

127 = Labelling Consumables and Conceivable Numerals

4 snips
Feb 2, 2026
They invent silly pantry-jar names and play a rapid-fire naming game full of puns. They ask which small integer has never been written down and compare huge named numbers like googolplex and Graham’s number. They estimate human-written numbers using deck-shuffle analogies and birthday-problem math to find when a number is likely unique. The show closes with a quirky homemade salt side project and listener reactions.
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ANECDOTE

Pantry Pun Game Bec Played Live

  • Adrian stores pantry staples in glass jars and invents playful labels like Drummond Basmati and Jazz Min to describe contents.
  • Bec turns it into a game Name That Pantry Item, giving puns such as Spaghet About It for spaghetti and Karaoke Cane for brown sugar.
INSIGHT

Card Shuffles Are Almost Certainly Unique

  • Shuffling a 52-card deck yields about 52! (~8×10^67) arrangements, so practically every shuffle is unique.
  • Even extreme upper bounds on historical shuffles (10^20 times) make repeat arrangements astronomically unlikely.
ADVICE

Check Physical Feasibility Before Believing Big Number Claims

  • Question big claims by checking physical constraints like human time to write digits; theoretical constructs don't equal practical realizations.
  • Bec highlights Googleplexwrittenout as a claimed project but notes human lifespans and writing speed make full transcription impossible.
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