caybo said:
"empirical evidence" It is true that we have massive evidential support, but I still don't understand. We don't have any reasoning as to what causes these laws actually to be correct, right?
caybo, as an electrical engineer that thinks about signal processing and
information theory, here is my philosophical spin on it:
a physical law (or a "law" in any other science) is really a form of data reduction. we *could* express all of this empirical evidence in their non-data-reduced form:
"on April 23
rd we observed a 2 kg object launched east, with a speed of 10 m/s, off of a 20 kg cart with extremely well designed and lubricated wheels, and the 20 kg cart moved west with a speed of very nearly 1 m/s."
"on April 24
th we observed a 3 kg object launched north, with a speed of 10 m/s, off of a 20 kg cart with extremely well designed and lubricated wheels, and the 20 kg cart moved south with a speed of very nearly 1.5 m/s."
"on April 25
th we observed a 4 kg object launched west, with a speed of 10 m/s, off of a 20 kg cart with extremely well designed and lubricated wheels, and the 20 kg cart moved east with a speed of very nearly 2 m/s."
"on April 26
th we observed a 2 kg object launched east, with a speed of 10 m/s, off of a 20 kg cart with extremely well designed and lubricated wheels, and the 20 kg cart moved west with a speed of very nearly 1 m/s."
now after you do enough of these, you might conclude that the date was irreleavant to how the experiment turned out, empirically. and that it didn't matter what direction, except that the movement of the cart was the opposite direction of the lauched object. so, after reading a zillion of these empirical reports, you decide to do a little data reduction and say:
"on any particular day or moement when we observed an M
1 kg object launched in some direction, with a speed of V
1 m/s, off of a M
2 kg cart with extremely well designed and lubricated wheels, the M
2 kg cart will move in the opposite direction with a speed of very nearly V
1M
1/M
2 m/s."
saying that statement, instead of all of the unlimited number of statements of particular empirical observations, saves data and, if it continues to be accurate in the domain where it is said to be applicable, we call it a
"law of science".