When both the positive and negative volitional auxiliary verbs
are combined with a verb in Japanese, it has the nuance of 'whether or not (A)', the result will be (B)'. This is quite emphatic, and has a literal meaning similar to 'say it does (A) or say it doesn't (A), it will still be (B)'.
As a reminder, the positive auxiliary verbs
of volition are either う or よう, depending on what they are being connected to, while the negative auxiliary verb
of volition is まい. Either the case marking particle
が or と will appear after both the positive and the negative, with が being slightly more common.
Whether you attend the year-end party or not, we will collect the admissions fee from everyone.
Whether it rains or not, I have decided to go fishing tomorrow.
While this structure is primarily seen after verbs, it is important to remember that other auxiliary verbs
such as だ can be conjugated in the same way, as can い-Adjectives with the less common かろう structure. This means that both nouns, な-Adjectives and い-Adjectives can also appear using a similar grammar pattern. However, because the negative volitional まい cannot pair with these structures, an antonym will usually appear with them instead, with both words using the う or よう positive volitional.
Whether it is fun or not, school is a child's job, so you must go to school.
Whether it is safe or not, always wear a safety belt when you climb to a place higher than 2 meters.
Whether it is a dog or a cat, they are both animals, so they must not be bought on a whim.
Based primarily on the use of volitionals, this grammar pattern will often indicate the speaker's strong will or opinion that will not change regardless of (A).