ermines said:
. . . we all know that ever since our birth, we have been under a system and this has shaped our thinking, and i might say have influenced even on how we regard philosophy. But philosophy and systems (being rigid and fixed) contradicts each other. So then, why do we still philosophize?
In addition to all the other good reasons people have cited here, I think exactly because we are shaped by the belief systems we are born into that philosophy is important.
Of course, one has to differentiate between casual philosophizing which most people do sometime or another, and hardcore, disciplined thinking about reality with the purpose of gaining insight into it. Applying that to the idea that we are born into belief systems . . . how can we be sure what we believe corresponds to reality if we've unconsciously accepted beliefs simply because they were prevalent in the environment where we grew up? Neither can we trust a belief merely because it appeals to our personality, because that too was shaped by our environment.
To get at the truth requires an almost brutal disregard for personal beliefs and tastes, particularly one's own, and philosophy can assist in achieving that state of objectivity if someone is dedicated enough.
One of my favorite philosophers was Socrates because he exemplified (at least as he was presented by Plato) a man determined to question beliefs and belief systems. He was sentenced to death by Athenians for being gulity of "corrupting the minds of the young, and of believing in the deities of his own invention instead of the gods recognized by the state."
In his defense (Apology) Socrates explains why even to save his life, he would not stop inquiring into the nature of reality. He says, "Perhaps somone may say, 'but surely Socrates, after youve left us you can spend the rest of your life quietly minding your business.' This is the hardest thing of all to make some of you understand. If I say that this would be disobedience to God, and that is why I cannot 'mind my own business,' you will not believe that I am serious. If on the other hand I tell you that to let no day pass without discussing goodness and all the other subjects about which you hear me talking and examining both myself and others is really the very best thing that a man can do, and that life without this sort of examination is not worth living, you will be even less inclined to believe me. Nevertheless that is how it is gentlemen . . . "
Possibly it might seem that in these modern times we need less philosophical vigilance. After all, isn't science answering all the relevant questions? Well, I've been happy to be the fly on scientism's rump around here

because I believe any total belief system, no matter how intelligently constructed, is a type of ignorance when it is substituted for an open, unbiased, inquiring mind.