The claim that one error in your reasoning can throw off your whole chain of thinking and interrupt the flow and logic of your ideas is true.
Reasoning: Logic tends to work in a linear fashion. One must first establish agreeable premises which are used to support initial conclusions, and those conclusions become the premises for further conclusions. They build in a sort of pyramid structure to finally support one's ultimate conclusion. Should there be a false premise or an error in reasoning at one of the lower levels, the rest of the structure is questionable.