ok I think its clear he meant storing an infinity amount of information with “gives it near unlimited storage capacity.” Its clearly not an infinite splicing of a finite type of thing. It seems to be the more common usage of infinite. Honestly I would argue its really not a different type in that the set is finite but the subdivisions are not and ifinite is only refering to the infinte part so storing a value for every infinte cut takes infinite storeage. He is responding to the idea that all knowledge we have now and all future knowledge could be put into the brain ala mastering skills like kung fu.