Can I consider any continuous quantitative variable as super ultra finely categorised ordinal variables?
In quantitative variables you have as many categories as ten to the power of the number decimals in your quantity (a 3 digit number would be like having 10 to the third power, categorized ordinals). The difference is that those 10 exp 3 categories are equally spaced when you use a quantitative variable (like when you are measuring weight, time, dollars using three decimals), but may not be so if you use the numbers as categories, like giving 1000 people a number based on their height: shortest 1, tallest 1000. When you do that, the difference between 1 and 301 -which is 300- may not be the same if you take the difference in inches. That’s why you say some variables are ordinal and some quantitative, in ordinal variables you can only use a>b and a
