Science is a method. There is a philosophy of science, but science does not philosophize per se. Supernatural claims are assessed in the same manner as usual. ESP bears no fruit. Astrology is a circus act. Prayer does not help the sick. Creation "science" has been debunked.
Faith is based on a feeling rather than logic or evidence as far as I can tell. I have no problem with faith. I do have a problem when faith is treated as if it is like science.
Atheists almost always have a conception of faith that is not biblical. Indeed, most Christians share the same unbiblical understanding of faith, which is pathetic and sad.
Many think that faith is about believing something IN SPITE of either evidence to the contrary or simply a lack of evidence, and the word "faith" can certainly be used to mean that but that isn't the biblical understanding of what it means to have faith. Biblically speaking, faith is about being sufficiently convinced that a particular claim is true that you take actions that are in keeping with that claim. The term does not imply a lack of evidence but what it often does entail is a willingness to go against the conventional wisdom.
When Abraham believed God's promise to give him a son. His trust in God wasn't based on nothing but rather both he and his wife "judged Him faithful who had promised." In other words, Abraham and his wife had good reason to trust that God was able to do that which He had promised to do in spite of their old age. It wasn't blind belief but a reasonable belief.
Likewise, when Abraham was sent to sacrifice that same promised son, Abraham had a whole lifetime's worth of experience that had taught him that God was trustworthy, no matter the circumstances and that it was riskier to disobey God than not. Abraham's expectation was that God would raise Isaac from the dead which was a completely reasonable expectation.
Thus, biblically speaking, it isn't whether one is willing to believe blindly but quite the contrary, its about whether you are willing to accept the testimony of the evidence placed before you and act on it? The biblical principle is that the truth is established on the basis of two or three witnesses (i.e. pieces of evidence) which is why God put three things in the Ark of the Covenant. He placed the ten commandments, Arron's rod the budded, and a jar of manna as testimony to Israel of God's justice, power and provision. This principle is caried on consistently throughout the scripture. Nowhere are we taught to turn off our minds and to believe blindly.
Clete