The statement 'You should go to the doctor' expresses an obligation, indicating that there is a moral or ethical duty to do so.

Permission is the deontic modality that grants permission or allows an action to be performed.

The statement 'You are not allowed to smoke in public' expresses a prohibition, indicating that smoking in public is forbidden.

Obligation is the deontic modality that indicates an action is morally or ethically required.

In deontic logic, obligation and permission are independent modalities. An action can be obligatory without being permitted, and vice versa.

A conditional obligation is an obligation that is triggered by a specific condition. In this case, the obligation to face the consequences is triggered by the condition of breaking the law.

Prohibition is the deontic modality that indicates an action is morally or ethically forbidden.

In deontic logic, permission and prohibition are contradictory modalities. An action cannot be both permitted and prohibited at the same time.

A strict obligation is an obligation that is unconditional and does not depend on any other factors. In this case, the obligation not to steal is a strict obligation.

Permission is the deontic modality that indicates an action is morally or ethically permissible.

In deontic logic, obligation implies possibility. If an action is obligatory, then it must be possible to perform it.

A prima facie obligation is an obligation that holds all things being equal. In this case, the obligation to help those in need is a prima facie obligation.

Possibility is the deontic modality that indicates an action is morally or ethically possible.

In deontic logic, prohibition and possibility are contradictory modalities. An action cannot be both prohibited and possible at the same time.

A hypothetical obligation is an obligation that is triggered by a specific desire or goal. In this case, the obligation to study medicine is triggered by the desire to become a doctor.