The lecture defines Qualitative Data as

" Qualitative or categorical attributes are those which describe the object under consideration using a finite set of discrete classes"

Coming to my question, can there be qualitative data with an infinite number of classes?

Example: Name of a person. Assuming that a person’s name can be arbitrarily long, we can have an infinite number of classes for it.

Also, the video says the following about Discrete Attribute

**"Discrete attributes are those quantitative attributes which can take on only a finite number of numerical values"**

But this definition is thoroughly wrong, as there are a countably infinite number of integers.

Also, it says continuous attributes **“refer to quantitative attributes which can take on fractional values (Real Numbers)”**, but Real Numbers also contain irrational numbers, which are not fractions.

Please let me know if any of the points I have made above are incorrect.

I understand that definitions have to be simplified to be inclusive of people with varying backgrounds, but some of these are very misleading and factually wrong. Many of us are expecting this course to be mathematically rigorous, so I think we should be kept in mind as well when simplifying definitions.