Do Researchers Share Their Original Data?

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Researchers often do not share their original data sets, particularly in fields like climate change, where conclusions may be presented without accompanying data. The prevalence of data sharing varies, and many mathematicians typically do not keep their data secret. For those interested in analyzing data for personal projects, accessing original datasets can be challenging. The discussion highlights a gap between published findings and the availability of underlying data. Overall, transparency in data sharing remains a significant concern in research communities.
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I'm curious because I want to play around with data for fun on some statistics software I'm teaching myself, plus I want to create equations to describe/predict things that I find interesting in peer-review journals.

How often do they let others see their original data sets?
 
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You mean like some guy who publishes claiming something on climate change, but shows only his conclusions and not his original data? We've seen that. But how prevalent it is...?? you would probably have to ask elsewhere than the "mathematics" section of the board, since mathematicians never (as far as I know) keep their data secret.
 
I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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