Final answer:
The statement is false; members can indeed discuss an issue after a motion is made and seconded, as open debate is essential to the democratic process. Furthermore, legislative bodies like Congress have specific rules that govern these discussions and ensure transparency in decision-making.
Step-by-step explanation:
The statement that members may not discuss an issue further after a motion is made and seconded is false. In fact, once a motion is made and seconded, it is then up for discussion among the members before a vote is taken. Rules of proceedings, including those for discussions and debates, are determined by each legislative body and are essential for a democratic process to ensure that all points of view are considered.
In the context of the US Congress, for example, both the House and Senate must keep a record of their proceedings. Although there are provisions for certain discussions and votes to be kept secret, this is an exception rather than the rule. Moreover, as provided by the rules of Congress, a vote must be recorded if at least one-fifth of the members demand it.
For the voting cycle, it is important to note that the majority's preferences can sometimes lead to a situation where there's no conclusive outcome, such as when the majority prefers policy A to policy B, policy B to policy C, but also prefers policy C to policy A. This paradox illustrates the complexity of democratic decision-making processes.