Formal Logic and Scientific Method

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20 years 8 months ago #8528 by tvanflandern
The Moderators here are making an effort to phase out trolls, the people who take argumentative or provocative positions simply to stand back and enjoy the fireworks. If you don't think we are catching those, please drop one of us a note rather than producing the fireworks the troll hoped for.

The rules of logic, much like the math of infinities and other acquired human knowledge, are neither a birthright nor instinctive. They must be learned, and part of that learning process is learning to value what they do for the mind (discipline). Without those guidelines, we would all tend to let our wild imaginations and peer pressures excite us into accepting beliefs that are not well-founded in experimental or logical reality. Another important part of that learning process is to continue to respect those around us who have not yet learned mental discipline.

It should be obvious that we all bring different degrees of eduction and experience to these discussions. Less obvious are Piaget's teachings about how different minds function differently, and more to the point, learn differently. Some need abstract visualizations while some need real images. Etc. There are so many mental skills, and we all have different capabilities in each of them: reasoning, memorization, abstraction, induction, deduction, intuition, creativity, analysis, visualization, organization, synthesis, empathy, collation, computation, judgment, ability to unlearn or correct error, problem-solving ability, motivation, normal association, creative free-association (“thinking outside the box”), communication, awareness, nurturing, ability to distinguish reality from fantasy, and others I can't think of at the moment. It is important to appreciate that we all tend to favor the skills we are better at and avoid those where we are at a disadvantage.

I realize it can be a fine line, and comes down to a judgment call. But my experience says that 123... is making an honest effort to defend a position that he/she sincerely believes in, but which has never been subjected to this type of scrutiny before. So communicating does indeed require patience and a variety of approaches -- something not all of us bargained for when entering the discussion. My own habit is to respond when that person still has interesting (for me) things to say or shows a genuine interest in learning or understanding the position of others. Failing any of those, I'm unlikely to comment.

Expecting someone to change his/her mind on the spot in response to an argument is unreasonable unless the matter is really trivial and without other consequences. Unlearning is a slow, long-term process in all of us because we have to check through our entire learning tree of internal knowledge for other consequences first. That is why it is important not to anger an adversary in a discussion. When you part of good terms, one or the other party can then go through the lengthy unlearn/relearn process and come back at a later date as an ally, maybe even a grateful one. But if you part on angry terms, no reflection ensues, and anger will be one's first memory at any later encounter.

Although I could have wished for more maturity in 123... by not responding to insult with insult, my reading of the exchange is that jrich crossed the ad hominem line first this time. I do not see 123...'s argument as an instance of trolling, as jrich does (without using that word). But I do agree that is a judgment call.

Nonetheless, in the future, let the Moderators handle these matters, and prompt us if we are not following the discussion closely enough to catch these instances. Be patient with each other, and just drop out or ignore comments that add nothing of value to your own interests. That way, we'll keep this as much of a learning experience for everyone as it can be, appreciating that not everyone who wants to discuss these matters or learn here has already had several years of post-doc experience. [:)]

After all, what's the point of discussing controversial topics just with like-minded people? Thanks. -|Tom|-

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20 years 8 months ago #8531 by north
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guys

does not as you go to infinity scale,does not dimension do the same,in other words as something gets smaller, does not the whole scale of space do the same,right along with it? therefore minimum distance become relative?

if i'm way off please fell free to let me know if i'm way off. perhaps i do not fully understand the problem here.

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20 years 8 months ago #8773 by jrich
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I'm going to take a long break while I grow thicker skin.


JR

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20 years 8 months ago #8774 by
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When someone offers as rebuttal the size of my shoes, I have nothing left to talk
about but the size of theirs.

But as always, I will be the gracious one here and apologize for my rudeness, even if though I was provoked repeatedly.

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20 years 8 months ago #8775 by
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<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by Jan</i>
<br />nderosa,

<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote">A good and proper deduction can be either, depending on whether the premises on which it is based are factually true or not, and if the logical process is valid.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">

I'd like to point out that starting from two different assumptions, it is perfectly possible to arrive at the same conlusion through consistent reasoning, i.e., both logical processes are valid.

For example, moving clocks run slow according to SR. This conclusion is based on relative velocity arguments. However, we arrive at the same conclusion if we assume the existence of a local ambient background through which light propagates.

Suppose we have two mirrors separated by a fixed distance "L" and at rest with respect to a local ambient light medium. The time for a photon to "bounce" from the left mirror to the right mirror and back again is simply:

t0 = 2*L/c.

Now we give the two mirrors a relative velocity "v" to the right with respect to the same local light medium whilst maintaining the fixed distance "L" between the two mirrors. In this case, the time "t" for a photon to bounce from the left to the right and back again is:

t = L/(c-v) + L/(c+v)
= 2*L*c*(1/(c^2 - v^2))
= (2*L/c)*(c^2)*(1/(c^2-v^2))
= t0 *(1/(1-v^2/c^2))
=&gt; t0 for 0 &lt;= v &lt; c

Therefore, the ticking rate of the photon slows down when the mirrors are in motion. We conclude that clock slowing occurs.

Quite fascinating. The conclusion that moving clocks run slow can be obtained from both the relative and absolute motion assumption. It remains to be proven which assumption is factually true ...

DISCLAIMER: The example was taken from Prof. Umberto Bartocci



<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">

Clocks cannot really run slow due to relative velocity if there is no local ambient light medium, I think you have shown that already in the past. SR's time dilation is just an artifact of the Lorentz transformation to a moving frame to make c a constant in all equivalent frames, it has no physical meaning. Therefore, you are not really getting the same conclusion starting with opposing assumptions. If there is any law in the universe, it has to be the law of non-contradiction. It's a sure sign then that something went wrong in the syllogism if starting with opposing assumptions, you arrive at the same conclusion. In this particular case, it is both that the starting assumptions are not logical opposites and also that something went wrong in the syllogism.

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20 years 8 months ago #8776 by tvanflandern
<blockquote id="quote"><font size="2" face="Verdana, Arial, Helvetica" id="quote">quote:<hr height="1" noshade id="quote"><i>Originally posted by 1234567890</i>
<br />But as always, I will be the gracious one here and apologize for my rudeness, even if though I was provoked repeatedly.<hr height="1" noshade id="quote"></blockquote id="quote"></font id="quote">The equivalent of "I'm sorry but I'm just being a nice guy because it was all your fault" is neither gracious nor an apology. I expect better in the future. -|Tom|-

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