Burning in hell forever : Islam's absurd punishment

Burning in hell forever: Islam's absurd punishment
"Any system of religion that has anything in it that shocks the mind of a child, cannot be a true system." - Thomas Paine

In Islam, burning in hell forever is a punishment given to disbeleivers; those who dont beleive in the quran:
Quran 4.14 : And whoso disobeyeth Allah and His messenger and transgresseth His limits, He will make him enter Fire, where he will dwell for ever; his will be a shameful doom.
If Allah said that a certain person will burn in hell forever, this is a lie. It is not possible for someone to burn in hell forever. Ask me why ? Here is the logic. I invite all Muslims to follow this ONE argument which I give here, and follow it step-by-step and tell me where I am wrong?
1) A human being is a finite being 2) Thus he can only commit a finite amount of sin in his entire life. The sin maybe a LOT, but it will NEVER be infinite sin. It would always be a certain definable quantity of sin.3) Burning in hell forever is an Infinite sin. 4) It is NOT fair to punish a finite amount of sin with Infinite punishment.5) Thus burning in hell forever is unfair and wrong.

Finite 'good' may be rewarded with infinite 'reward', and no one will object to that but to punish finite sin with infinite punishment is nothing but CRUELTY and insanity.