Judaism Genesis 17 & circumcision

[George]

It's a logical fallacy to assume so.

All members of a certain covenant are circumcised.
Muslims are circumcised.
Therefore, Muslims are members of that same covenant.

It's an undistributed middle term.

All dogs are mammals.
Cats are mammals.
Therefore, cats are dogs.

That's the same logical shape, and it's obviously wrong.

OK, thanks.

I think it important to mention that the covenant went through Isaac, meaning the Jews.

I remember having a conversation with a Jew on CARM and told him that a Muslim told me that Muslims are circumcised in order "to get into the covenant."  The Jew said that only way that could happen would be if the Muslim converted to Judaism and then if the Muslim had been circumcised previously he would have to be re-circumcised with a knife of needle that would cause a little blood.

Do you agree?