Why is the factorial of 0 equal to 1?

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Wouldn’t this also mean that 1!=0!, why is this true?

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Anonymous 0 Comments

A lot of people trying to give answers that prove something…
The reason 0! = 1 is literally “because we said so”. It’s not like factorials exist as an entity outside of mathematics. Mathematics is not physics. Factorials are not something that mathematics tried to explain, it’s something that we created entirely, and in the process of doing so we define it in a way that’s useful for our purposes.

Proofs in mathematics only prove things about mathematics.

As seen in Terminator, “There’s no fate but what we make for ourselves”.

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