Question

The logical negation of the statement 'My car is colored red' is:

a. My car is not colored red.
b. All cars are red.
c. Some cars are red.
d. No cars are red.

Answer 1

The negation of the statement 'My car is colored red' is 'My car is not colored red', adhering to the principles of logical negation and the law of noncontradiction.

Step-by-step explanation:

The logical negation of a statement is the denial of that statement, which can be constructed by adding 'not' to the original statement. According to the law of noncontradiction, a statement and its negation cannot both be true in the same sense at the same time. The negation of 'My car is colored red' would be 'My car is not colored red'. Other options provided, such as 'All cars are red' or 'Some cars are red', do not represent the negation of the original statement since they involve a different scope or subject than the original statement.