No I meant continuous with this definition "A continuous data set is a quantitative data set representing a scale of measurement that can consist of numbers other than whole numbers, like decimals and fractions. Continuous data sets would consist of values like height, weight, length, temperature, and other measurements like that. They're things that can be measured in fractions and decimals. Usually a tool, like a ruler, measuring tape, scale, or thermometer, is required to produce the values in a continuous data set." But yes the superset is an uncountable which would be the more encompassing definition but more difficult to understand.

As far as a method it's a el5, thus a master level proof would not be appropriate. Regardless the method I explained is the baseline for proving that a infinite is not countable via the proof of contradiction.