"...my saying so" or "...me saying so"

Hi,
I've gathered that to say "I hope you don't mind MY saying so" is considered more correct than to say "I hope you don't mind ME saying so", but could somebody explain the reason for this? Why use 'my' instead of 'me'?

If somebody could educate me on this I would be very grateful!
Consider a verb like 'swim'. 'Swimming' is the noun-like form of the verb.
Thus, we can say

Hi Anon;
"saying" is a gerund, that is a verb form that is used as a noun in a sentence.
For example:
I like singing and playing the piano. (Singing and playing is what I like, they are objects of the verb "like")
Because gerunds are nouns, they can have modifers, such as:
The audience loved my singing.
Let's get on to "don't mind"
I hope you don't mind my messy house

owl.english.purdue.edu seems to support my as it claims that mind always takes only the gerund as the verbal direct object.

On the other hand, it seems reasonable to me that the me in "don't mind me saying so" could be the direct object of "mind," just as it is in the phrase, "don't mind me." If "me" is the direct object, "saying" would be the participle rather th

What about a sentence like, "I can

What would you say about a sentence like this one that I found online?

I go to sleep with that guy on the DVD player and so him saying that was like the biggest compliment ever.

Here we have him saying that used as the subject of a clause in a compound sentence.

electrumI go to sleep with that guy on the DVD player and so him saying that was like the biggest compliment ever.

The "him/his" problem is not going to be solved soon. You will hear native speakers using either one in any part of a sentence.

Nevertheless, careful speakers avoid sentences such as this one, and English teachers will caution you to do

The problem must arise from the fact that the -ing form is both a participle and a gerund.

Someone might say: Despite him confessing to the crime.
But no one would say: Despite him confession to the crime.

Confessing looks like a participle modifying a pronoun, which then goes into the objective case.

electrumThe problem must arise from the fact that the -ing form is both a participle and a gerund.

That could be, and you're probably right, but there could also be a much more mundane explanation, namely, that the grammatical pattern itself is falling into disuse. Since we native speakers hear it less and less in either of its two forms, we have no role mode

It's unfortunate that many English verbs have no nouns of action except gerunds. If we had sayment, belongment, becomement, etc., thr problem would disappear. Then we could say:
Despite his belongment to the club, etc.

I am not a English native, so IMHO I interpret it like this "don't mind (me saying so)", where (me saying so) phrase is "the noun" (actually the subject), and thus can itself have the subject "me", while the verb "saying" is not at all noun-tized