I suggest indifference: lack of interest in or concern about something; an indifferent attitude or feeling.

In your example:

"I am indifferent about going there."

The opposite pairing of wanting is loath.

But the word feels archaic (notice how easily the forms of want fit into a sentence, but the "am loath" usage is cumbersome); and it is so easily misconstrued with "loathe" which makes the step from simple "do not want" to hatred. With these obstacles to using loath, it is often just easier to add a word to negate wanting or to shift the lexical perspective into something like "inclined vs. disinclined".

It sounds like you're looking for at least two verbs (maybe three); you need one that is the opposite of "want" on the continuum of desire (e.g. loathe) and other that is apathetic (sort of in the middle or off the continuum altogether), and maybe even another that is technically ambivalent (points scattered along the continuum).

I don't want (eschew) to waste more of your time on this non-response, but don't want (I sort of don't but, meh, it doesn't bother me and I need to so I will) to go back to work either.

The underlying difference between wanting and your other possibilities is that the others, describing active operations, are clearly 2-valued. "Wanting", on the other hand, describes a mental state which can inhabit a continuum, ranging from desiring a thing or consequence, to rejecting a thing or consequence, with a neutral state being part of the continuum. The neutral state, or "don't-care" is an important possibility in any discussion of desire, so it should not be overlooked.

As a result, there is no particular reason to expect that a single word will encompass both the neutral and the negative. The simple negation ("I don't want") is generally adequate to express the lack of wanting, and if the exact form of not wanting is important, then the choices such as "I don't care" or "I really don't want" can be used.

Interesting question. Thanks for causing me to think about this a little more deeply than I might have otherwise.

First some suggestions, based on my understanding of what you're after, followed by initial scaffolding for a philosophical-biological framework.

Ideas

I think these could be near-"pure" opposites that preserve the ambiguity you're after, but with different degrees of intensity and varying applicability depending on context:

• decline, e.g. "I decline your offer"
• avoid, e.g. "I avoid apples"
• ignore, e.g. "I ignore the opportunity"
• reject, e.g. "I reject your help"
• abandon, e.g. "I abandon the car"
• evade, e.g. "I evade confrontation"
• dismiss, e.g. "I dismiss the feedback"
• etc.

I suspect there is not a single word for "don't want" that works in every single context. Even if there were, you might still choose to pick from a menu of options to inject color and meaning for impact.

Initial scaffolding for a philosophical-biological approach

Exploration 1: rooted in the abstract

On the one hand, I see how we could map want/don't-want on a multi-dimensional geometry.

For example, reasonable dimensions could include:

• specific <> non-specific
• active <> passive
• neutral <> motivated
• etc.

If you deep dive into the "specific / non-specific" dimension, you could start categorizing the non-specific extreme end of the spectrum into:

• the spiritual, eternal kind (egoless), and
• not wanting things you don't even know about (more pedestrian :-)

I'll skip over the spiritual kind of not-wanting. For the other kind, one could argue that it is impractical to have a word for not wanting something that you don't even know about because "to want" presupposes there's something the observer could want (even if it is generic).

For example, if you don't know about something that one could want, then you technically "don't want" it, but it isn't an active choice. It doesn't seem practical to have a word for this case, since the list of what one doesn't want would be both infinite and expansive (across time and space).

Exploration 2: rooted in biology, evolution, and natural selection

What if "don't want" does not actually exist, which is why there is no word for it?

It seems to me that "wanting" drives the processes of survival. Whether or not the outcome is good (get food) or bad (addiction), "want" is what moves us to action (or inaction) every day.

When we say that we "don't want" something, another way to frame it is to see it as fork in the road between wanting:

a) that apple, the experience, that gratitude, OR b) to forego that apple, the experience, the gratitude

And you "want" either (a) or (b). But you always want.

I don't think (but am happy to be convinced otherwise) this is merely a linguistic or logical trick.

There is no word for "don't want" because our options are always driven by "want", as governed by biology.

The problem you're having is that you're looking in the wrong direction for the semantic mirror of want as a verb.

The opposite of want in English is ... have.

From Etymonline

c. 1200, "to be lacking," from Old Norse vanta "to lack, want," earlier *wanaton, from Proto-Germanic *wanen, from PIE *weno-, suffixed form of root *eue- "to leave, abandon, give out." The meaning "desire, wish for, feel the need of" is recorded by 1706.

The notion of desiring or opting for something grew from the concept of the word want meaning lack thereof. Semantically, I want actually means I want for; put more plainly, I lack and therefore I feel a need for.

I want to give you a kiss.

I lack and therefore desire to (have) give(n) you a kiss.

I want fried chicken for dinner.

I lack and therefore would desire (fried chicken for dinner).

Ironically, when we tell our children the age old parental advice: wanting something is not the same as needing something..., we're actually lying to them.

It gets a bit dicey when you look at wanting something you already possess.

Do you want your fries?

Yes, I want them.

But, had someone never asked you the question, it would be strange to say:

I want my fries.

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Side note: There is no direct mirror antonym for desire, either.

Desire derives from a meaning that also defies an antonym:

"to wish or long for, express a wish to obtain," c. 1200, desiren, from Old French desirrer (12c.) "wish, desire, long for," from Latin desiderare "long for, wish for; demand, expect," the original sense perhaps being "await what the stars will bring," from the phrase de sidere "from the stars," from sidus (genitive sideris) "heavenly body, star, constellation" (but see consider). Related: Desired; desiring.