QUESTION IMAGE
Question
there are several statements in the table below. for each, determine whether it is a negation of this statement.
i am not in physics class.
| statement | negation? | |
|---|---|---|
| i am in physics class. | ○ | ○ |
| i am not in history class. | ○ | ○ |
| i am in algebra class. | ○ | ○ |
| it is not the case that i am in algebra class. | ○ | ○ |
Brief Explanations
- The original statement is "I am not in physics class". The negation of a statement "not \(p\)" is \(p\). So the negation should be "I am in physics class".
- For the statement "I am not in history class", it is about history class, not related to the negation of the original physics - class statement.
- For the statement "I am in algebra class", it is about algebra class, not related to the negation of the original physics - class statement.
- For the statement "It is not the case that I am in algebra class", it is about algebra class, not related to the negation of the original physics - class statement.
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| Statement | Negation? Yes | Negation? No |
|---|---|---|
| I am not in history class. | Yes | |
| I am in algebra class. | Yes | |
| It is not the case that I am in algebra class. | Yes |