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The difference between infinity and arbitrariness in mathematics.
Infinite; unbordered

There are two kinds of infinity, one is infinity and the other is infinitesimal. This is a concept of limit

There are two kinds of infinity, one is positive infinity and the other is negative infinity.

Positive infinity is a number greater than any positive number that can be found, which is actually not a specific number; Similarly, negative infinity is a number smaller than any negative number that can be found.

Infinitesimal is a number infinitely close to 0, or it can be a number smaller than the absolute value of any real number that can be found.

arbitrarily

Refers to any one of all elements.