The criteria for infinity is 'no changes', and that none of its parts can be finite. You can't add $5 to an infinite amount of $.
Logically and mathematically false. Infinity is unlimited therefore you can add to it. The result is still infinity (but it is not necessarily the same infinity). The mathematical concept of a infinite series is one where the sum total increases without bound while continually adding finite elements to the sum total. This contradicts your position.
Your "no changes" is a false definition and part of the problem with your position. It does not show up in any of the above definitions. Immeasurable, unlimited, unbounded, not finite, these are the criteria for infinite.
You do not get to redefine terms to create straw-man arguments that the item defined by the term does not exist: all you prove is that your (false) concept does not exist, while the actual (true) concept is unaffected.
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