Final answer:
Not all incidental motions can be reconsidered, with their eligibility depending on the specific motion and the parliamentary authority's rules. Motions that are related to procedural questions requiring immediate decision, like Point of Order and Appeal, are typically not reconsiderable.
Step-by-step explanation:
In the context of parliamentary procedure, incidental motions are motions that are related to the main motion and must be decided immediately. Incidental motions can vary greatly in their specifics, but not all are subject to reconsideration.
The ability to reconsider an incidental motion generally depends on the nature of the motion and the rules of the parliamentary authority being followed (such as Robert's Rules of Order).
Certain incidental motions such as Point of Order, Appeal, and Objection to the Consideration of a Question are not generally eligible for reconsideration because they are decided immediately and deal with questions of procedure that typically need to be settled at once.
Other incidental motions, however, such as those determining the method of voting, may be reconsidered if the rules of the assembly provide for it and if reconsideration would not disturb something that has been partially carried out or that has already affected the rights of members.