We have to remember the times and the culture that the scriptures were written. I'm sure you already know this, so it's nothing new.
And I hope that you agree, considering how crazy things have been lately that there is major differences between Male and Female. There is no gender equality. No matter how it's put.
Are men better than women? No.
Are women better than men? No.
We are both created wonderfully and fearfully by God. We both will face God and be judged by Christ determined by our salvation and our works of faith.
Can a woman debate? absolutely.
Can a woman analyze? I personally believe women are more analytical than men are when it comes to the thought processing. I could be wrong. But the evidence I've seen with women I've know in my life, mother, sisters, aunts and such. It's shown on how they care for others and their children. You have to be able to analyze situations quickly and honestly at times to get things done. So I believe and again I could be wrong. That women are better at analyzing things than men are.
Can a woman reason? If your here and your thinking, then your reasoning. Of course they can.
Christ changed the outlook at women when He came. It was a woman who was the first evangelist...the Samaritan woman. She'd reasoned out who Christ was.
It was a woman...who first reported the empty tomb. She analyzed the situation and reported it to the Apostles
It was a woman...that Christ wrote on the ground before the Sanhedrin and told her to go and sin no more.
It was a woman...that told the servants to obey Christ in all that he said do. (Mary at the wedding) she debated or discussed, what servants are to do when Christ spoke, and we are all servants of Christ.
It was a woman...that washed Christ feet with her tears and dried it with her hair.
So, it's not for man to say, if a woman can and cannot ,debate, reason or analyze for God. Its God that calls, not man.