No. Each integer is finite. There is an infinite number of them though.
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The set of integers is an infinite set as there are an infinite number of integers.
Infinite.
No. There are 30 of them inclusively, or 28 of them exclusively. There are however an infinite quantity of non-integers between them.
An infinite set whose elements can be put into a one-to-one correspondence with the set of integers is said to be countably infinite; otherwise, it is called uncountably infinite.
sequence