The harsh reality that shatters the dream of perfection.
Once there was the dream that mathematics may one day be complete, such that all true statements are proven to be true. This was when the Austrian mathematician Gödel conjured incompleteness from the fabric of logic, tearing holes into the structure of mathematics, crushing the dream of completeness. Now we know that we need to tread carefully: incompleteness looms over every mathematical statement, ready to strike. Yet, mathematics stands strong, an awe-inspiring tapestry that continues to unfold. Though Incompleteness may threaten its threads, mathematics remains the bedrock of scientific exploration, a testament to its enduring significance across the centuries.
How incompleteness was discovered and haunts us ever since