Linwood, scitsofreaky, TheHeretic, GeneCosta...
Suppose we discover a new kind of fruit called Zulpia on a virgin tropical island somewhere. Everyone who has ever tasted Zulpia says it is absolutely delicious, and distinctly different from any food they have ever had before.
A group of scientist would like to distribute to the world knowledge that would allow everyone to know what Zulpia tastes like. They have very advanced technology that allows them to make just about any measurement they would want. They set up a group of people as subjects and have them each eat a Zulpia. They measure every aspect of the experience including the motion of the jaw muscles, the fluid dynamics of the juices in the mouth, the stimulation of each taste bud, the excitation of each neuron in the nervous system and brain and any hormonal and chemical synthesized and/or consumed in the body.
The scientists are disappointed that once they organize and collaborate all of this data, it is not useful to anyone for knowing what a Zulpia tastes like.
The problem is our "natural laws" are limited to quantitative relationships (formulas, equations, etc). This is useful to us because it allows us to comprehend these aspects of nature. The language of mathematics is understandable to us. However, it is quite clear that there exists a reality within us, inside our minds, that cannot be observed or measured from the outside. Hence we have something we know is real, that is not tangible, and does not seem to be described by our natural laws, yet it exists.
What we can measure and observe in the Universe around us only provides us a limit perspective of reality and is certainly not the path to any sort of complete knowledge.