What if they are all wrong? (2020)

Math World Melts Down Over a Wild Idea: What If the Experts Chased the Wrong Thing?

TLDR: A math writer questioned whether famous unproven ideas may be leading researchers astray if they’re actually false. Commenters turned that into a brawl, with some calling conjectures useless intellectual fan fiction and others saying the post unfairly reflects one narrow school of thought.

A math blog post tossed a grenade into polite academic conversation by asking a brutally awkward question: what if some famous unproven ideas are just plain wrong? The author argues that these big claims, called conjectures, often act like guiding stars for researchers — inspiring careers, papers, and prestige — but maybe they also send people marching confidently in the wrong direction. In plain English: if thousands of smart people spend years chasing a beautiful idea that turns out false, is that noble... or just a very classy waste of time?

The comments immediately turned into a mini food fight. One camp came in swinging with pure contempt. BobbyTables2 compared conjectures to weather forecasts, except somehow less useful, snarking that they can’t help prove anything, solve anything, or even tell you whether to bring an umbrella. Ouch. That “drunk after work ramblings” line? Absolutely the kind of comment that gets screenshotted and passed around. Meanwhile, another commenter, Tazerenix, basically accused the whole post of reflecting a very specific math tribe’s bias, saying this sounded like a problem-solver’s rant rather than a deeper theory-builder’s view.

That’s where the real drama lives: is this a fearless truth bomb about wasted effort, or just one scholar roasting everyone else’s style of thinking? The vibe in the community was equal parts existential crisis, turf war, and dark comedy — with a side of “maybe proving people wrong is actually the fun part.”

Key Points

  • The article says conjectures are widespread in mathematics and vary greatly in scope, status, and purpose.
  • It groups conjectures into different functional types, including near-term targets, long-term challenges, multigenerational problems, and direction-setting ideas.
  • The author argues that citations and published work matter more directly to everyday mathematical development than conjectures do.
  • The essay questions whether mathematicians devote effort to conjectures without sufficiently considering the possibility that some may be false.
  • It challenges common reasons for valuing conjectures, such as fame, beauty, age, or claimed consequences, and notes that disproving a widely accepted conjecture could be important.

Hottest takes

"less useful than a meteorologist offering weather predictions" — BobbyTables2
"They can’t even suggest if I would take an umbrella" — BobbyTables2
"a very combinatorist view of theorem proving" — Tazerenix
Made with <3 by @siedrix and @shesho from CDMX. Powered by Forge&Hive.