Sanhedrin 3: Does the Great Court Need 141 Judges?!

On why the mishnah needs to include damages and half-damages in its list (about how many judges for this kind of case). Also, a dispute about whether the number of judges really needs to be odd. Also, Rabbi Yehudah HaNasi's position that 5 judges are needed, not 3! Perhaps 3 judges on the side of the verdict? Which means 5 to make the majority... (except that is rejected too, because how can it possibly always mean that X number of judges agree to the final verdict?). Plus, more on the word for God in His attribute of justice and that for judges (Elokim/elohim). But why do the sages disagree with Rabbi Yehudah HaNasi's 5? The difference between how the Torah is written and how it is read, for select terms.