A textbook on probability and statistics

AI Thread Summary
Recommendations for undergraduate textbooks on probability and statistics include "Probability and Random Processes" by Grimmett and Stirzacker, which is well-regarded. The discussion highlights skepticism about "First Course in Probability" by Sheldon Ross due to numerous negative reviews. Participants emphasize the importance of finding a reliable and comprehensive resource for understanding these subjects. Overall, the search for a suitable textbook focuses on quality and positive feedback from the academic community. Engaging with these recommendations can enhance foundational knowledge in probability and statistics.
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Hello, a very interesting forum you have here:)
So, to business
The topic says it all - I'm looking for a good textbook for undergraduate on probabilities and mathematical statistics. Could you recommend something?

I thought about: First Course in Probability by Sheldon Ross, but I have read a lot of bad reviews about that book, so I think it's out of the game.
 
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Probability and Random Processes, Third Edition, by Grimmett and Stirzacker, (Oxford University Press, 2001).
 

Thread 'Deductive proof in logic formal systems'

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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