The logical basis is around the hypothesis test discussed in the Discussion Board Forum 2 instructions. It mentions that to reject the hypothesis that Jesus is not the Messiah would require a level of significance 0.00000000000000001 and the smallest level of significance used in mathematical equations tends to be 0.01, which means that the hypothesis that Jesus is not the Messiah can definitely be rejected, but that means you have to think about what the level of significance means in hypothesis testing. The level of significance is “the probability with which we are willing to risk a type I error”. A type I error means that we reject the null hypothesis (Jesus is not the Messiah) when it is in fact true. This means it is only 0.00000000000000001 likely that Jesus is not the Messiah, but logically and mathematically there exists a small variable of chance that we could be rejecting the null hypothesis incorrectly.
The biblical basis for the fact that there is no absolute proof that Jesus is the Messiah comes from the fact that God requires faith. Hebrews 11:6 says “Now without faith it is impossible to please God, since the one who draws near to him must believe that he exists and that he rewards those who seek him” (CSB). and Hebrews 11:1 defines faith as “the reality of what is hoped for, the proof of what is not seen” (CSB). Which means in order for these verses in Hebrews to be true, God requires faith and faith requires us to place our hope in God. If we had absolute proof of Jesus being the Messiah faith would not be required.