Hello Lou,
To answer this question, one must realize what the purpose of the law was.
Read Deut 28-30 and then answer these questions.
Ask yourself what the Law was supposed to bring.
Ask yourself how the law was to be interpreted.
Ask yourself where the Law was given to Moses. What was going on with Israel.
What Jesus is saying is a loaded statement when you factor in the culture. Remember, Jesus was considered a Rabi and as such, the Rabi's held to many traditions.
Take for example where Jesus says that he did not come to 'destroy', or also put, 'abolish' the law but instead he came to fulfill the law. Jesus is saying many things here withing Jewish culture.
The intent of Torah (The first 5 books of the bible aka "The Law") was to put flesh around the words of the law. It wasn't enough to know the law, one had to live out the law. In other words, what did that particular law look like when it was being acted upon. You see, it was a Rabi's role to interpret the law as close to God's intent as possible.
But you see, Torah was never meant to be interpreted alone, that's whey the Jews met and discussed Torah within a community, and when a Rabi was known to go off in left field and completely miss the mark with his interpretation, he was said to have 'abolished', or 'destroyed' the Torah.
Thus, when Jesus says that he did not come to abolish the law, what he is saying is that he is showing the correct intent of the Law.
As far as fulfilling the law, you will find in Deut 28-30 that the Law, if followed was to bring life and if not followed, would bring death. This truth should echo within the Christian faith.
Also, if we look at the letter of the law, we see that Moses was given the Law at Mt. Sinai. Again, the Law was to bring life, but if you recall the ancient story, Aaron had built a golden calf and the Israelites were worshiping the golden calf. Thus, what was to bring life when introduced, actually brought condemnation. (Romans 5, Romans 7)
If you look at the Jewish story of exodus, promised land, exile, promised land and exile, you see that it is conditional based on the blessings and curses outlined in Deut 28-30. What the Pharasis of Jesus day were trying to do, was to keep the Law to a complete T and even more thinking that if they could keep the Law perfectly, they would be blessed. After all, it was Israel's failure to keep the Law that brought about exile, or in the case of within Jesus' time, the oppression that came through Rome.
Hope this gives you something to nibble on