Which rule is used in the following inference?

(R ⊃ R) ⊃ (D ≡∼U)

R ⊃ R

D ≡∼U


HS


MP


MT


DS


not enough information to answer

Answers

Answer 1

The argument:

[(P ≡ T) • (H • N)] ⊃ (T ⊃ ~S)

(T ⊃ ~S) ⊃ [(H ∨ E) ∨ R]

[(P ≡ T) • (H • N)] ⊃ [(H ∨ E) ∨ R]

is an instance of one of hypothetical syllogism (HS).

Hypothetical syllogism contains conditional statements for its premises.

Let

p = [(P ≡ T) • (H • N)]

q = (T ⊃ ~S)

r = [(H ∨ E) ∨ R]

The this can be interpreted as:

p ⊃ q

q ⊃ r

p ⊃ r

This interprets that:

If p then q

but if q then r

therefore if p then r

Thus, in logic HS is a valid argument form:

p → q

q → r

∴ p → r

Note that ⊃ symbol is used to symbolize implication relationships. This is used in conditional statements which are represented in the if...then... form.  For example p ⊃ q means: if p then q. So the type of Hypothetical syllogism used in this is conditional syllogism.

There are three parts of syllogism:

major premise

minor premise

conclusion

An example is:

If ABC is hardworking, then ABC will go to a good college.  

Major premise: ABC is hardworking.

Minor premise: Because ABC is hardworking , ABC will score well.

Conclusion: ABC will go to a good college.

Example of Hypothetical syllogism:

If AB is a CD, then EF is a GH

if WX is a YZ, then AB is a CD

therefore if WX is a YZ, then EF is a GH

This can be understood with the help of an example:

If you study the topic, then you will understand the topic.  

If you understand the topic, then you will pass the quiz.

Therefore, if you study the topic, then you will pass the quiz.

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Related Questions

explain carefully how redundancy improves product reliability.

Answers

Answer:

Redundancy is an engineering technique that improves product reliability by adding backup components or systems. If one component fails, the backup takes over, preventing system failure and improving reliability in multiple ways:

Improved Fault Tolerance: By adding redundancy, a product becomes more tolerant to faults. If one component fails, the redundant component can take over, preventing a complete system failure. This means that the product can continue to operate even if a component fails, improving overall reliability.

Increased System Uptime: Redundancy can increase the uptime of a system by reducing downtime due to component failures. By having a backup component that can take over, the system can continue to operate even if one component fails, reducing the need for maintenance and repair.

Enhanced Performance: Redundancy can also improve the performance of a product by allowing it to operate at full capacity even if one component fails. This means that the product can continue to function at optimal levels, even if a component fails, improving overall reliability.

Better Safety: Redundancy can improve the safety of a product by ensuring that critical components have a backup. This means that if a critical component fails, the redundant component can take over, preventing a potentially hazardous situation.

Redundancy improves product reliability by increasing fault tolerance, uptime, performance, and safety. Engineers can design more reliable, efficient, and safe products by incorporating redundancy.

What would be answer be?

Answers

One possible analogy is to imagine a water pipe system. Voltage is represented by water pressure, current by the flow rate of water, and resistance by the size and roughness of the pipe.

How to explain the information

Just as increasing the pressure in the water pipe will increase the flow rate, increasing voltage in a circuit will increase the current. Similarly, just as increasing the resistance in the water pipe will decrease the flow rate, increasing resistance in a circuit will decrease the current.

Another analogy is to imagine a highway system. Voltage is represented by the speed limit, current by the number of cars on the road, and resistance by the size and number of obstacles on the road. Just as increasing the speed limit on a highway will allow more cars to travel at a faster speed, increasing voltage in a circuit will allow more current to flow at a faster rate. Similarly, just as adding more obstacles on a highway will slow down the flow of traffic, adding more resistance in a circuit will slow down the flow of current.

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Create an account by entering username, password, first name and last name. a. The system needs to check that the following conditions are met, and reply with the appropriate output message: 21; 22; 23 2022 Conditions Messages True False Username contains an underscore and is no more than 5 characters long “Username successfully captured” “Username is not correctly formatted, please ensure that your username contains an underscore and is no more than 5 characters in length .” Password meets the following password complexity rules, the password must be: • At least 8 characters long • Contain a capital letter • Contain a number • Contain a special character “Password successfully captured” “Password is not correctly formatted, please ensure that the password contains at least 8 characters, a capital letter, a number and a special character.” 2. Login to the account using the same username and password. a. The system should provide the following messages to verify the user’s authentication state: Conditions Messages True False The entered username and password are correct, and the user is able to log in. “Welcome , it is great to see you again. “Username or password incorrect, please try again” 3. You will need to implement a Login class with the following methods to ensure that your application meets good coding standards and that the code you write is testable. 21; 22; 23 2022 Method Name Method Functionality Boolean: checkUserName() This method ensures that any username contains an under score (_) and is no more than Boolean: checkPasswordComplexity() This method ensures that passwords meet the following password complexity rules, the password must be: • At least eight characters long. • Contain a capital letter • Contain a number • Contain a special character String registerUser() This method returns the necessary registration messaging indicating if: • The username is incorrectly formatted • The password does not meet the complexity requirements. • The two above conditions have been met and the user has been re

Answers

The program based on the information is illustrated below.

How to illustrate the program

class Login:

   def __init__(self):

       self.nickname = None

       self.password = None

   def checkNickname(self, nickname):

       if '_' in nickname and len(nickname) <= 5:

           return True

       else:

           return False

   def checkPasswordComplexity(self, password):

       if len(password) >= 8 and any(c.islower() for c in password) and any(c.isdigit() for c in password)

           return True

       else:

           return False

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