1. 2.4 Deductive Reasoning

2. Deductive Reasoning (sometimes called logical reasoning) is the process of reasoning logically from given statements or facts to a conclusion.
It’s the idea of making a conclusion based on already known facts such as definitions, postulates, and/or theorems.
Its using things we already know to make a conclusion.

3. Law of Detachment
In order to use this law, you must first identify the hypothesis of the given true conditional.
A second statement is then given, if that statement matches the hypothesis you can then make a valid conclusion.

4. Law of detachment example
Highlight the hypothesis.
Second given statement is:
Does this second statement match the highlighted hypothesis?
So what conclusion then can you make?

5. Highlight the hypothesis
Second given statement is:
Now what conclusion can you make?

6. Second given statement is:
-Highlight the hypothesis
Second given statement is:
What conclusion can you make?
Does the second statement match the hypothesis?.
Why or why not?

7. Law of Syllogism
This second law allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement.

9. Use laws of syllogism and Detachment together

13. HWK mathxl 2.4