My degree is in math. I feel pretty confident in saying that you are tossing around a whole bunch of words without actually knowing what they mean in a mathematical context.
If you disagree, try the following:
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What is a function? What is an injective function? What is a surjective function? What is a bijection?
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In mathematics, what does it mean for a set to be finite?
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In mathematics, what does it mean for a set to be infinite?
I’m willing to continue this conversation if you can explain to me in reasonably rigorous terms what those words mean. I’ll help you do it too. The link I sent you in my previous post that mentions cardinal numbers links you to a wikipedia page that links to articles explaining what finite and infinite sets are in the first paragraph.
To be clear here, your answer for 2 specifically should rely on your answer from 1 as the mathematical definition of a finite set is in terms of functions and bijections.
Here are some bonus questions for you to try also:
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In mathematics, what does it mean for a set to be countable?
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In mathematics, what does it mean for a set to be uncountable?
A finite universe, the one in which we live, can only produce finite objects. Those finite objects can only produce other finite objects. A finite object cannot create an infinite object, as the act of creation would be a starting point for the object, and if an object has a starting point or an end point, which are really the same thing, then the object is a finite object.
If a set of numbers originates from a starting point and moves away from that point in a seemingly infinite distance, and then you decide to traverse that set in the opposite direction towards the starting point, the starting point becomes an ending point, and if an object, in this case the set itself, has an ending point, it is a finite object. Finite objects cannot create infinite objects because the act of creation would negate their infinity. Infinity is neither created nor ends, nor does it have size, shape, or form.
None of this includes the correct answers to the questions I asked you. I’m not going to read anything else from you until you correctly answer the questions I asked.
I find it interesting that you have a degree in math, and apparently have never questioned a question. As I’ve demonstrated, in the posted problem, the statement “some Infinities are bigger than other infinities” is an illogical statement. The mere statement that there are multiple infinities, negates either objects identification as being infinite, and reduces both objects to finite objects, as the only way these objects can be determined to be seperate from each other is through a boundary that would impose a starting or ending point on each object, which in turn reduces them into finite objects.
I also find it interesting that you resort to gate keeping to try and control a situation that you are frustrated by. I was able to simply and clearly demonstrate my position. I also demonstrated the technique of: solving the problem by defeating its purpose. I’ve also demonstrated the difference in how a mathematician and an engineer attempt to solve a problem.