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Conceptual Mathematics, Second Edition by Stephen H. Schanuel, F. William Lawvere

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SESSION 19

Terminal objects

Now we will discuss ONE, the unit or identity for multiplication. You have met several different things called ‘one.’ First, the number 1, the unit for multiplication of numbers, satisfying:

Second, the identity map of a set A, the map 1A: A A defined by

image

which satisfies the identity laws:

image

Third, and this is the starting ...

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