A Logical Framework for Solid Object Physics

Cover A Logical Framework for Solid Object Physics
A Logical Framework for Solid Object Physics
Ernest Davis
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13). Since the source of QV is fixed, and in standard position facing upwards, (assumption), being weakly in front of QV means being at least as high as QV (6. 1, 515. 6. 1. 1. 7, 6. 1. 1. 6, 6. 1. 9, 6). Thus, the center of 33 mass of O would have to be as high as than QV, which is higher than the starting position of the center of mass of O. (assumption) But this is impossible by lemma 7. 2. 3. Thus, O does not exit QV in C.
Lemma 7. 2. 5: The funnel in our example is an s-tube. S-tube{shape(
...ofunnel)) Proof: The funnel is the surface of revolution of xx-pfunnel around xx-center-line (7. 1. 3). Xx-pfunnel is some finite distance from xx-center-line (7. 1. 6); hence they do not overlap (6. 1. 1. 3, 6. 1. 1. 4). Hence, the funnel is an s-tube (6. 1. 7. 13).
Lemma 7. 2. 6: In our example, odie does not exit the top of ofunnel in c. Not(exits(odie, pseudo-object(ofunnel, s-tube-top(ofunnel, vup)), c) Proof: We must show that the conditions in (7. 2. 4) hold, with C =^ c. 00 = {odie, ofunnel, oground}, O = ofunnel, and QV = pseudo-object(ofunnel, s-tube-top(ofunnel, vup)).


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