Hi, I'm having a really hard time understanding this concept. I know the answers because my teacher told us them but I don't know why they are the answers. Could you explain them please?

1. Professor Roth's rule is that any student who uses a cell phone in class will be asked to leave. You are bored and want to use your phone to text.
a.What can you conclude will happen if you start to text?
Answer: You will be asked to leave. (I understand this)
b. What kind of reasoning is this?
Deductive reasoning. (I don't understand this.)

2. You and all your friends earned A's in Professor Hamid's class. You conclude that taking his class is sure to result in a grade of A.
a. What conjecture is being made? Everyone who takes his class will get an A. (I understand this)
b. What type of reasoning is this? Inductive reasoning.(I don't understand this)

http://www.nakedscience.org/mrg/Deductive and Inductive Reasoning.htm

That is not a valid link

No it is not. I don't know why. Let me try again. BRB

Let's try this:

http://www.nakedscience.org/mrg/Deductive%20and%20Inductive%20Reasoning.htm

That one works!

Sure, I'd be happy to explain!

1. In the given scenario, Professor Roth's rule is that any student who uses a cellphone in class will be asked to leave. If you start to text, you can conclude that you will be asked to leave. This is because it follows the established rule set by Professor Roth. Thus, the answer to the question is that you will be asked to leave, and you understand this part.

b. The type of reasoning being used in this scenario is deductive reasoning. Deductive reasoning is a type of logical reasoning where we apply established rules or principles to specific situations to draw a conclusion. In this case, the rule set by Professor Roth is that any student who uses a cellphone will be asked to leave. By using deductive reasoning, we apply this rule to the situation where you start to text, leading us to conclude that you will be asked to leave.

2. In this scenario, all you and your friends earned A’s in Professor Hamid's class. Based on this information, you conclude that anyone who takes his class will also get an A.

a. The conjecture being made here is that everyone who takes Professor Hamid's class will get an A. You understand this part.

b. The type of reasoning being used in this scenario is inductive reasoning. Inductive reasoning involves drawing general conclusions based on specific observations or evidence. In this case, the observation is that all you and your friends earned A’s in Professor Hamid's class. Based on this limited sample, you are making a generalization that anyone who takes his class will also get an A. However, it is important to note that inductive reasoning does not guarantee the truth of the conclusion because it relies on making predictions based on a limited number of observations.

I hope this explanation helps clarify the types of reasoning involved in these scenarios. If you have any further questions, feel free to ask!