Can randomness be defined?

Can randomness be defined?

Can randomness be defined? Since I believe that the word means the absence of order, the proving of randomness involves proving a negative. What, then is the meaning of the terms random number and random sequence? Does the designation of any events e.g. radioactive decay, as random mean anything other than "uninfluenceable by any known agency" and/or "not showing any regularity discernible by humans"?

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