Interesting quote and "logic" ... but then, if human logic is fallible, then so is this Greek astrophysicist!!!
Sorry, but I have to disagree with him. Logic is not infallible, BUT you can draw ILLOGICAL (or impossible) conclusions even using logic. But the basic logical process itself is not infallible.
The professor may be attempting to bring God into the process, but hey, despite so many people's opinions to the contrary, God IS LOGICAL, and is also subject to logic, too. There are things which God CANNOT do because they are LOGICALLY and in REALITY impossible to do. You cannot have a 4-sided TRIANGLE, or a MARRIED bachelor. Just because you can string words together does not create the possibility that that "thing" can exist.
God cannot lie. God cannot deny Himself.... there ARE things which are impossible for even God to do. It's not possible for YOU to deny your own existence, right? So how can God be able to do that and you cannot? God also cannot make 2+2=5, just as YOU cannot make 2+2=5.
The only time when "human" logic is fallible is when infallible enters into a logical equation. Just as, in math, when you multiply ANY NEGATIVE number by any POSITIVE number it yields a NEGATIVE number... when you place FALSE and TRUE into a logical equation, it yields FALSE... T∧F≡F (arithmetical logic).
In the Christian realm, we have the Scriptures which state that "A little leaven leavens the whole lump." In other words, introduce just a small amount of falsehood, and the entire argument becomes false.
So, spiritually speaking, human logic is not by itself infallible until fallacy is introduced into the equation.
Have a blessed day.