"No coherent discussion can dispense with clear organisation and progression of ideas."
I have no problems with understanding the words and phrases, but when it to comes to understanding the whole sentence it appears to me illogical. I may be making some logical mistakes, so could you please paraphrase it (the sentence, not my mind, of course )?
Dispense here is "to do without":
I cannot dispense with food. = I cannot do without food
The Government can dispense with parliamentary involvement at its peril. = If the Government does without parliamentary involvement, it will get into trouble.