> bobjob, you've totally misunderstood me.
> Addressing your issue with brute force: Firstly, you should understand that I'm a logical person, capable of moral and philosophical thought.
You said that brute force should be used and I'm of the opinion that this is wrong. Not only will it not solve the problem(you can never catch all people), but it will create violence that will kill people. As a side effect will it foster the well grounded hatred of the affected(and a lot of unaffected) people toward "westerners".

> Looking at the problem in it's raw form, Polio needs to be eradicated before we can halt expenditure on the eradication program, which comes at a huge global cost. To eradicate the disease, we have to destroy it.
True

> To destroy it, we use vaccines to reduce the number of carriers and available hosts to zero. This requires hosts to forcefully, or willingly be vaccinated.
It does not require force, but patience. Mankind survived so far and we can carry the cost for some more time. The cost of doing forceful vaccination is simply to high.

> Humanity finds itself staring at a few pockets of the disease which are proving difficult to wilfully, or forcefully vaccinate.
> Humanity has two choices: Give up, or carry on
Carry on as we do now and wait til they see reason(for that we have to stop using them as test subjects[1][2]).

> Carrying on produces further choices:
> Humanity can, through the process of negotiation, wait for these pockets wilfully vaccinate, reducing the number of carriers to zero. No more Polio. Problem solved.
I'm for this

> Humanity can wait for these pockets to develop their own wilful way of eradicating the disease from their population, reducing the number of carriers to zero. No more Polio. Problem solved.
or for this

> Humanity can find a way to forcefully vaccinate these pockets, reducing the number of carriers to zero. No more Polio. Problem solved.
And creating new problems, you know like war and terrorism

> Humanity can find an alternative way to forcefully reduce the number of carriers to zero, such as selective murder or the less-selective, genocide. No more Polio. Problem solved.
Same as the last one, you create new problems.

> Humanity can wait for nature to reduce the number of carriers in these pockets to zero through natural disaster. No more Polio. Problem solved.
Will not happen, there are to many carriers involved and you can not contain the areas they live in.

> These, whilst some of them horrifying, are solutions to the problem humanity faces, for the "greater good" and all that jazz. The cost and viability of these solutions are under constant consideration whether you like it or not.
And as long as people in power do not get stupid, they will not choose brute force.

> Why haven't they occurred? Well,
> People continue to resist the vaccine.
For understandable reasons(see [1] or [2])

> Developing new methods of eradicating disease doesn't happen spontaneously in small populations.
It does not, it needs time so that trust can be build.

> The moral price of forcefully vaccinating this population is probably on the cusp of acceptability. The practicalities are more challenging at this time, however I wouldn't be surprised if a solution of this type isn't being actively worked on.
The moral price is not acceptable and never will be. Especial if the reason for there resistance are actions from the outside(from there point of view).

> Nature works in it's own time.
> The global value of the lost life is too high for decision to be made to enact mass murder for the sake of eradicating Polio at this time.
Mass murder is never a valid way to reach a goal, esp. if the murdered are people(e.g. in this case we are talking about feeling, intelligent, reasoning human beiings).

> Upon finishing, answer not needed, let me ask: If we ran out of the ability to produce Polio vaccine for the world, would you rather: murder several million people, or, condemn humanity to a future with Polio, at the cost of hundreds of thousands of lives per year, on top of hundreds of thousands of new cases of disability?
If we run out of the ability it is our own fault. We just need to stop bulling people and making war(martial, ecological, economical, moral) for profits sake.
Not answering could be construed as me accepting your "final solution", sorry won't happen until you start repeating your arguments.

[1] http://www.theguardian.com/world/2012/mar/02/aid-groups-cia-...
[2] http://edition.cnn.com/2012/06/06/world/asia/pakistan-polio-...