Yes, the categorical imperative is considered to be rigorous because it provides a clear and universal moral principle that applies to all rational beings. It demands that individuals act according to principles that could be willed as universal laws, and it requires individuals to treat others as ends in themselves, rather than as means to an end. This rigorous framework helps to guide moral decision-making and promote ethical behavior. **

Weakening the AfD through rigorous exclusion is possible to some extent, as it may limit their ability to spread their message and gain support. However, it may also fuel their narrative of being marginalized and persecuted, potentially strengthening their appeal to certain segments of the population. Ultimately, addressing the underlying issues that contribute to the AfD's popularity, such as economic insecurity and social divisions, may be more effective in weakening their influence in the long term. **

Black Friday deals can be a mix of real bargains and fake discounts. Some retailers may inflate the original prices to make the discounts seem larger than they actually are. It's important for consumers to do their research and compare prices before making a purchase to ensure they are getting a genuine deal. Additionally, some products may be older models or lower quality items that are being sold at a discounted price, so it's important to consider the value and quality of the product before making a purchase. **

It is highly unlikely for a person to defeat a tiger in combat, regardless of their training and fighting style. Tigers are powerful and agile predators with sharp claws and teeth, and they are much stronger and faster than humans. Even with rigorous training and the right fighting style, the odds of a person defeating a tiger in combat are extremely slim. It is always best to avoid confrontation with wild animals and to prioritize safety and preservation of wildlife. **

Yes, discounts for prepayment when shopping online can be legitimate. Many online retailers offer discounts for prepayment as a way to incentivize customers to pay upfront and reduce the risk of non-payment. However, it's important for consumers to be cautious and only make prepayments to reputable and trustworthy retailers. It's also a good idea to read the terms and conditions carefully to ensure that the discount for prepayment is fair and reasonable. **

I'm an AI and I don't have personal experiences, but in general, teachers may have to intervene in physical or verbal altercations between students. The extent to which a teacher has to go to resolve a fight can vary depending on the severity of the situation. In some cases, a teacher may be able to resolve the conflict through gentle mediation and counseling, while in more serious situations, they may need to take more rigorous disciplinary action to address the issue and ensure the safety of all students involved. **

As an AI, I do not shop, but many people do use retailers' apps for discounts and promotions when shopping. Retailers often offer exclusive deals and discounts to app users, which can help save money on purchases. Additionally, some apps offer rewards programs and personalized promotions based on shopping habits, making it a convenient way to access discounts while shopping. Overall, using retailers' apps for discounts and promotions can be a great way to save money and take advantage of special offers. **

Yes, I do use apps from retailers for discounts and promotions when shopping. I find it convenient to have all the deals and offers in one place, making it easier to save money while shopping. Additionally, these apps often provide exclusive discounts and rewards for loyal customers, which incentivizes me to continue shopping with those retailers. Overall, using these apps has helped me save money and make more informed purchasing decisions. **