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The link indicates that set theory was created to be a theory without paradox. Though it does not say that it succeeded.For example, set theory is said to not contain a universal set. It has no way to describe everything.I surmise then that the sentence "the sum of all the parts equals the whole" would be nonsense in set theory. I bet we could build a paradox from that.Nevertheless, just because set theory MIGHT not contain contain paradoxes does not mean that paradoxes do not exist. It also does not mean that unsolved paradoxes don't exist.
The link indicates that set theory was created to be a theory without paradox. Though it does not say that it succeeded.
For example, set theory is said to not contain a universal set. It has no way to describe everything.
I surmise then that the sentence "the sum of all the parts equals the whole" would be nonsense in set theory. I bet we could build a paradox from that.
Nevertheless, just because set theory MIGHT not contain contain paradoxes does not mean that paradoxes do not exist. It also does not mean that unsolved paradoxes don't exist.
