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What is the technical distinction that you see? It could be the all important distinction
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It's just a fine point of definition. Irrational means not based on reason. Meaninglessness means having no ultimate reason. But something irrational(to us) at the relative level still has meaning at the ultimate level. I think they are synonymous at the ultimate level.
If chance is ultimate (the universe is irrational), there is no ultimate meaning.