the other side of the answer is that the sophists denied the necessities and disagreed about them and claimed that they are fantasies that have no basis and they argued for this by saying that the most apparent of them are the senses and that there is no trust in a persons certainty with his senses and no matter how much he sees a person and speaks to him his saying that he is certain of his presence and speech is a mistake. perhaps he sees him in a dream. how many dreams does a person see and he is certain of them and does not dispute with himself about their realization then he wakes up immediately and finds out that he does not exist until he sees in the dream his own hand cut off and his head severed. and he is certain of it and there is no existence for what he is certain of. then the disagreement of these people does not make us doubt the necessities and likewise the theories for after they are obtained from the premises they remain necessary and there is no dispute about them as in arithmetic.
والوجه الآخر من الجواب هو أن السوفسطائية أنكروا الضروريات وخالفوا فيها وزعموا انها خيالات لا أصل لها واستدلوا عليه بان أظهرها المحسوسات ولا ثقة بقطع الانسان بحسه ومهما شاهد انسانا وكلمه فقوله اقطع بحضوره وكلامه فهو خطأ فلعله يراه في المنام فكم من منام يراه الانسان ويقطع به ولا يتمارى مع نفسه في تحققه ثم ينتبه على الفور فيبين انه لا وجود له حتى يرى في المنام يد نفسه مقطوعة ورأسه مفصولا ويقطع به ولا وجود لما يقطع به ثم خلاف هؤلاء لا يشككنا في الضروريات وكذلك النظريات فانها بعد حصولها من المقدمات تبقى ضرورية لايتمارى فيها كما في الحسابيات