The Paradox of 1 – 1 + 1 – 1 + 1 – 1 + …

1 – 1 + 1 – 1 + 1 – 1 + …的悖论

A messy, multilayered, semi-transparent and spiraling heap of digital blue 1's and 0's on a black background

A messy, multilayered, semi-transparent and spiraling heap of digital blue 1's and 0's on a black background

2024-09-14  1332  困难
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What is the resulting sum? The question seems simple, silly even, but it puzzled some of the greatest mathematicians of the 18th century. Paradoxes surround the problem because multiple seemingly sound arguments about the sum reach radically different conclusions. The first person to deeply investigate it thought it explained how God created the universe. Its resolution in modern terms illustrates that mathematics is a more human enterprise than sometimes appreciated.

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