Caspian,
I find your argument flawed as it only refers to an Abrahamic version of God. The Sikh belief of a Godlike entity is described by Mool Mantar. This is how I see things;

Why would God make 2+2=5 when God created 2+2=4? God is all powerful in order to be able to create everything -the laws of logic, the laws of math, the laws of physics etc. God is omnipresent as God is throughout that creation. Things have come together beautifully to create all the life we have here on Earth. Any number of factors being slightly different would have thrown things out and resulted in a completely different combination. Therefore, God is not pointless. Everything science discovers and explains was created in that way by God.
Reference:: Sikh Philosophy Network http://www.sikhphilosophy.net/interfaith-dialogues/29347-2-2-5-case-agnostic-atheism.html
Reference:: Sikh Philosophy Network http://www.sikhphilosophy.net/showthread.php?t=29347
Secondly, 2+2=5 may well exist on another planet. We do not currently have the expertise to know whether this is the case or not so how can we possibly say it is not happening?! To rule out 2+2=5 as logical in another situation as it is not within our grasp is very elitist