Paradoxes: Causes & Theory Explained

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Paradoxes are often indicative of incomplete understanding in scientific theories, rather than outright errors. They can arise from flawed applications of theories or from the inherent complexities of language and logic. For example, the "Twin Paradox" is resolved through a deeper understanding of Special Relativity, showing that not all paradoxes reflect issues with the underlying theory. Logical paradoxes highlight questions that lack meaningful answers, akin to infinite loops in language. Overall, anomalies in mathematical theories signal discrepancies that need addressing for clarity and resolution.
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What makes paradoxes,Are they due to any errors in the theory behind them ?

jay.
 
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The best one can give you is the meaning from the dictionary

1- A seemingly contradictory statement that may nonetheless be true: the paradox that standing is more tiring than walking.

2- One exhibiting inexplicable or contradictory aspects: “The silence of midnight, to speak truly, though apparently a paradox, rung in my ears” (Mary Shelley).

3- An assertion that is essentially self-contradictory, though based on a valid deduction from acceptable premises.

4- A statement contrary to received opinion.

You should be able to figure it out from there.
 
Usually, in science, a paradox indicates that we don't understand something. So, depending on what paradox you're talking about, it could mean any of the things you suggest: the theory could be incomplete (not necessarily wrong, just not yet finished), or the application of the theory is flawed (this is more common), or we simply just don't know what's going on.

The "Twin Paradox" is only a paradox for those who don't correctly understand Special Relativity, for example. THere is no problem with the theory, and the paradox is resolved when you learn more about the theory.

Pure logical paradoxes indicate conditions inherent in language. FOr example: "What is the set of all things that are not part of a set?" THey serve to point out that it is possible to ask questions that have no meaningful answers. It's the linguistic version of an infinite loop.

I believe that "anomalies" are a mathematical equivalent of a theoretical paradox. THis means that if the formulas to a theory are crunched, and you two different values for what should be the same thing, something is obviously wrong with the theory.
 
Sez the atheist: "Get rid of the beard, long hair and robe. That's an old tired cliché. Instead, do something that really awes. Take an episode out of the Twilight Zone or Outer Limits TV show. Don't try to prove anything about your divinity. I'm just not buying. Instead, leave me speechless, even scared."
 
Originally posted by quartodeciman
Sez the atheist: "Get rid of the beard, long hair and robe. That's an old tired cliché. Instead, do something that really awes. Take an episode out of the Twilight Zone or Outer Limits TV show. Don't try to prove anything about your divinity. I'm just not buying. Instead, leave me speechless, even scared."

Well fine, but that's basically what I just said.
 
Sorry! Wrong topic. {BLUSH}
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks

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