I completely disagree. The "problem" is war, hunger, disease, and suffering in general.
Those are all problems. They all existed when population was far lower than it is today; indeed they were all much, much worse with far lower populations than todays. What makes you think that if population was lower, these things would be less common?
The fewer people there are, the fewer will have to endure those inevitable occurrences.
If they are inevitable, then reducing population levels won't help. I suspect that they are far from inevitable; certainly the far lower populations of a century ago, or two, or five, or ten, or twenty centuries ago were no defence against these things, all of which are less common now than they were then.
Of course, if there were only very few people, there might be other problems.
Indeed there might.
So, we should keep the population as low as possible to avoid creating new victims of the problems we will never solve as long as people exist.
That is only true if you assume that the problems must apply to a fixed proportion of people, or a proportion that is directly proportional to population. There is no evidence supporting this assumption; actual trends in history have less war, less hunger, less disease and less suffering in general over time, and that has been particularly true in the last century - in 1914, there were 1.75 billion people; today there are 7.5 billion.
In the end, the only way to truly solve those problems is to stop making people altogether, which I strongly advocate in principle but have no illusions of ever happening in practice.
Suggesting extinction to prevent war, hunger, disease or suffering is effective, but not very helpful. It is like suggesting euthanasia as a treatment for neuralgia. Effective, to be sure; but nevertheless, still stupid, unacceptable and slightly crazy.
When the oxygen tank in the Apollo 13 Service Module exploded, NASA didn't consider reducing the population of the spacecraft as though it was a viable solution to their resource problems; they looked for ways to solve the problems based on the number of crew they had.
And nobody is saying we should kill people as a viable solution to humanity's problems, so that analogy doesn't fit.
But they are - that is one of the options in the OP, and people have seriously discussed it, right here in this thread, and elsewhere.
"Reduce the population" is not a solution. It is always proposed that "they" should reduce their population; never that the reductions should come from "us". As Ksen says, the time to take population alarmists seriously will be when they start killing themselves to save the planet.
I am not a population alarmist per se, but I find that response to be unthinking and glib. There is nothing about the position that births should be limited that implies living people should be exterminated. It's such a tired, boring, knee-jerk retort, and I hate when smart people use it like it's some kind of "gotcha."
Indeed, those who are arguing that population can be controlled by controlling birth rates are not implying that living people should be exterminated; but there are people, in this thread and elsewhere, who most assuredly are suggesting that living people should be exterminated.
Controlling birth rates has two sides - it can be voluntary, or it can be mandatory. Mandatory control of birth rates - as practised in China - is cruel, oppressive, violent and unnecessary. Voluntary reductions in average family size happen without coercion, given only two things - access to safe and effective birth control; and a minimum standard of living.
Enough of the world population now has those two factors that population has already ceased to grow, other than through demographic lag. Despite the efforts of the Islamic and Roman Catholic religions, these factors continue to affect more and more of the world each year. The 'problem' has already been solved; no further effort is required.
In the presence of an immediate problem, it would be kinder to forcibly sterilise women who wanted children than to forcibly euthanase people. But the choice need not be made, because the problem has gone away. And 'kinder' is not even close to 'kind'.
The question in the OP is like a bunch of people on board ship, debating whether it is better to draw lots to see who gets killed and eaten, or to amputate everyone's left arm to provide food for all. It might be a good discussion to have after you are shipwrecked; but while there is the option to stroll down the gangplank and buy food at the supermarket, it seems like insanity to even raise the question.