Hadith and thier Authenticity [Split]

Re: Imam Ali (as) Saying: Taken from Peak of Eloquence

that occurs inevitably what if one hadith is sahih according to bukhari but not according to tirmidhi?.

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And what inclination did individuals such as Imam Bukhari and Muslim have? Their motive? Its benefit?

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they would obviously be inclined to narrate the merits of those indiviuals more who they considered to be the best after the Prophet

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Criteria of anybody's truthfulness is their character... and how they conduct themselves in daily affairs, from as small as feeding your animals to your family.

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and how can we find that out?.... through historical works

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Says who? Critical, how?

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.read history you will find out

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Depends on how/where/when each one heard the prophet speak...

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okay understandable but then both versions should be acceptable and we should simply agree to disagree ....no point in arguing about it

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You are not understanding my point: If narrators and numerous and alive then why write down your treaties? Obviously, because they are important? So, with same token, what prophet says from his mouth (and its not in the quran) is also important, more important than some treaty, correct?

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....but any proof that Prophet ordered a compilation of his writings in his lifetime? The Prophet himself was very particular about what was written in the treaties like treaty of medina and hudhaibiyah.
Things might have been written informally by the sahaba but the Prophet left behind no such official compilation.