3. Consider a category N having only one object, let's call it *, and with one arrow n: ** for every natural number. Moreover, suppose that the composition of two arrows m and n is given by addition, that is, mon = m + n. What is the natural number n that correspond to id*: * → *? Check that the three axioms of composition are satisfied.
3. Consider a category N having only one object, let's call it *, and with one arrow n: ** for every natural number. Moreover, suppose that the composition of two arrows m and n is given by addition, that is, mon = m + n. What is the natural number n that correspond to id*: * → *? Check that the three axioms of composition are satisfied.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...
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![3. Consider a category N having only one object, let's call it *, and with one arrow n: *→ * for
every natural number. Moreover, suppose that the composition of two arrows m and n is given by
addition, that is, mon = m+n. What is the natural number n that correspond to id*: * → *?
Check that the three axioms of composition are satisfied.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf527488-7949-457b-8fb2-a06535c2214c%2F646e92b9-bec5-4a11-9e5a-451f9a06eb72%2Fzlza64l_processed.png&w=3840&q=75)
Transcribed Image Text:3. Consider a category N having only one object, let's call it *, and with one arrow n: *→ * for
every natural number. Moreover, suppose that the composition of two arrows m and n is given by
addition, that is, mon = m+n. What is the natural number n that correspond to id*: * → *?
Check that the three axioms of composition are satisfied.
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