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Sure there are greater numbers. For example, 4 is greater than 3.

If you mean "... no greatest number", the reason is that you can always add one more, and get a number that is even greater. Thus, for example, 10 is not the greatest number, because you can add one and get 11. 11 is not the greatest number either, because you can add one and get 12. Etc.

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13y ago
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Q: Why there is no greater natural number?
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