we do have to be careful with mathematics, I agree. Ignoring errors in the math itself, it's prone to bad data in, bad data out.<br /><br />If you start from false premises, you could end up with a false result (or a true one, but for the wrong reasons). <br /><br />However, if you correctly assertain the initial conditions, and properly quantize the factors in play, math will lead you to the right answer.<br /><br />E.g.<br /><br />We could say gravity is F=GM/R^2. It depends only on the larger mass. We'd get some pretty accurate results if we only consider human sized objects compared to the mass of the earth.<br /><br />The math leads to accurate results.<br /><br />However, upon close inspection we find it's inaccurate, we've misrepresented a factor in play. By correctly incorporating all aspects of the graviational attraction, giving F=GMm/r^2, we get spot on answers....until we get to really extremem masses or really small radii (enter another calibration and restructuring).<br /><br />In this case, the logic of the math is correct, but the answers are not entirely in line with reality. As you said.<br /><br />However, math is a language, and when understood is a wonderful tool.<br /><br />When things get really abstract, and beyond our common experience though, math is harder to grasp as just a descriptive tool. We have to interpret the mathematical results to understand what they're describing.<br /><br />If the math that correctly and accurately predicts quantum effects can only be expressed as probabilities...does that mean the effects themselves are entirely probabilistic? or is that just the math?<br /><br />At the level of investigation possible, there is no way to tell one way or another if it's just the tool, or if it's the phenomena that behaves that way.<br /><br />thus enters the two realms of thought: Is math just a description? Or is it a mandate?<br /><br />With the caveat of: when done correctly and from true premises. <div class="Discussion_UserSignature"> <p align="center"><font color="#c0c0c0"><br /></font></p><p align="center"><font color="#999999"><em><font size="1">--------</font></em></font><font color="#999999"><em><font size="1">--------</font></em></font><font color="#999999"><em><font size="1">----</font></em></font><font color="#666699">SaiphMOD@gmail.com </font><font color="#999999"><em><font size="1">-------------------</font></em></font></p><p><font color="#999999"><em><font size="1">"This is my Timey Wimey Detector. Goes "bing" when there's stuff. It also fries eggs at 30 paces, wether you want it to or not actually. I've learned to stay away from hens: It's not pretty when they blow" -- </font></em></font><font size="1" color="#999999">The Tenth Doctor, "Blink"</font></p> </div>