Re: defining laws in isolation or 'no other force acting'

<hibbsa-/[email protected]> 04 Feb 2014 21:20:32 -0800
Newsgroups gmane.science.physics.fabric-of-reality
Message-ID <[email protected]>
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      <p> <br>
<br>
---In [email protected], &lt;garyo@...&gt; wrote:<br>
<br>
&gt; On Wed, Jan 22, 2014 at 12:08 AM, &lt;hibbsa@... mailto:hibbsa@...&gt; wrote:<br>
&gt;<br>
&gt;&gt;<br>
&gt;&gt;<br>
&gt;&gt;<br>
&gt;&gt;<br>
&gt;&gt; ---In [email protected] mailto:[email protected], &lt;garyo@...&gt; wrote:<br>
&gt;&gt;<br>
&gt;&gt;<br>
&gt;&gt; On Sun, Jan 19, 2014 at 2:26 AM, &lt;hibbsa@...&gt; wrote:<br>
&gt;&gt;<br>
&gt;&gt;&gt;&gt; the reasoning seems to reverse quite easily, such that the second law<br>
&gt;&gt;&gt;&gt; derives from the first.<br>
&gt;&gt;&gt;<br>
&gt;&gt;&gt;<br>
&gt;&gt;&gt; The first law doesn&#39;t specify the relationship between force and<br>
&gt;&gt;&gt; acceleration (except that there is one). For instance, F=m*a^2 would also<br>
&gt;&gt;&gt; lead to bodies at rest staying at rest and bodies in motion staying in that<br>
&gt;&gt;&gt; state of motion. (There&#39;s no acceleration in either case.) So you can&#39;t<br>
&gt;&gt;&gt; derive the second law from the first, only the other way.<br>
&gt;&gt;&gt;<br>
&gt;&gt;&gt; --<br>
&gt;&gt;&gt; Gary<br>
&gt;&gt;<br>
&gt;&gt; You might be tempted to kick yourself when you your brain realizes it&#39;s<br>
&gt;&gt; true before I can finish writing that &quot;you got the problem right but the<br>
&gt;&gt; wrong context&quot; as &quot;F -&gt; a&quot; is the right relationship, but the way it could<br>
&gt;&gt; be in terms of &quot;a&quot; is the trivial context, and &quot;m&quot; is the intractable<br>
&gt;&gt; problem.<br>
&gt;&gt;<br>
&gt;&gt; But there&#39;s a reason why you couldn&#39;t choose &quot;m&quot; even though &quot;F -&gt; a&quot; , is<br>
&gt;&gt; literally substituting &quot;m&quot; for &quot;-&gt;&quot; (i.e. relationship) in a context that<br>
&gt;&gt; you&#39;ve probably known since you were about 8.<br>
&gt;&gt;<br>
&gt;&gt; But the intractability of &quot;m&quot; is that in the history of the end to end<br>
&gt;&gt; reasoning, &quot;m&quot; never existed, and there was never a way to bring it into<br>
&gt;&gt; existence.<br>
&gt;&gt;<br>
&gt;&gt;<br>
&gt; Sorry, I have absolutely no idea what you&#39;re talking about here.<br>
  <br>
  <br>
 My bad - I&#39;m not sure what I said either :O) <br>
<br>
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