Would this be considered a fallacy? What fallacy would it be put under?

Question

“Well usually they have a number I.D, so I can buy it online.”
The quote came from my mother when looking at my calendar wondering where the number I.D sticker was. The I.D number shows what the specific item was. But usually you can’t just enter the number in on the internet and buy what the I.D number specifies. I usually thought that I.D numbers on items in a store are used only in the stores database, but I could be stating another fallacy.

Answer 1

This is not actually a fallacy. It's just that one of your mother's premises is not true. She will not get her result. But that does not mean that her argument is fallacious. Her argument is:

If an I.D. number specifies a product.
And #1234 is an I.D. number
Then #1234 specifies a product.

The argument is correct, but the I.D. number does not specify a unique product everywhere. So, if you want to refute your mother, you must reply, "Major premise denied." This means that her initial statement, "If an..." means that the product is available everywhere under this I.D. number. So the initial statement, the major premise is untrue. Therefore you win. However, if you want dinner afterwards...