I don't understand why this misconception happens:
"If a number is irrational then the decimal expansion goes on forever and never repeats.
"Therefore every finite sequence of numbers must appear somewhere."
This is clearly, demonstrably false, and yet some people cling to it, dismissing any attempt to explain why it's not true.
They're not stupid, so:
* Why do they believe it?
* Why do they reject the demonstration that it's false?
I don't understand ...
Colin the Mathmo /
npub1tn…j5nzk
2023-08-27 20:23:22
Author Public Key
npub1tnfy2kgy52nayvryzxr7w7aa8r88jp43prhtdazwydv097exa7ms8j5nzkPublished at
2023-08-27 20:23:22Event JSON
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"content": "I don't understand why this misconception happens:\n\n\"If a number is irrational then the decimal expansion goes on forever and never repeats.\n\n\"Therefore every finite sequence of numbers must appear somewhere.\"\n\nThis is clearly, demonstrably false, and yet some people cling to it, dismissing any attempt to explain why it's not true.\n\nThey're not stupid, so:\n\n* Why do they believe it?\n\n* Why do they reject the demonstration that it's false?\n\nI don't understand ...",
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