formal concept, n.All

Formal concept (n.) is ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠given the moment any object falling under it is given; to ask whether one exists is nonsensical.

A Formal concept (n.) such ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠as object, number or fact is not a real concept but a variable, so 'There are objects' cannot be said the way 'There are books' can.