Can something be infinite if there is a definitive number of it?

Can something be infinite if there is a definitive number of it?

Can something be infinite if there is a definitive number of it? Here's an example: I take a number, the largest I can think of, and never stop adding one to it. The number becomes infinite. Now if you take the number of human beings, and never stop adding to it, is the number of human beings infinite? In contrast, dinosaurs cannot be added to therefore they would not be infinite. Does this make sense?

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