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99 hypotheses in the lab, disprove one, 127 hypotheses in the lab.
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HTTP 418: I'm a teapot

The server identifies as a teapot now and is on a tea break, brb

HTTP 418: I'm a teapot

The server identifies as a teapot now and is on a tea break, brb

Conjectures Memes

Posts tagged with Conjectures

Proof Without Words vs. Words Without Proof

Math Science Academia
1 year ago 26.1K views 0 shares
Proof Without Words vs. Words Without Proof
The top image shows a beautiful visual proof of the sum of first n natural numbers formula (n(n+1)/2) using a geometric arrangement of squares. No words needed—just elegant mathematical visualization. Meanwhile, the bottom shows someone confidently declaring mathematical conjectures "obviously true" based solely on computational verification without rigorous proof. Classic mathematician's nightmare. Every mathematician knows that computational evidence, no matter how extensive, isn't proof. The gap between 10 21 and infinity is still... infinite. But try explaining that to someone who thinks checking a few trillion cases is "good enough."

Spotlight

Run Qwen3.8 27B locally: real numbers from my Mac Studio

Qwen3.8 27B benchmarked on a Mac Studio M3 Ultra: Ollama and llama.cpp numbers, the 1-bit quant tested, RAM math, and the hardware that actually fits. Read article →

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