A typical logical fallacy Haim: you deliberately confuse mission with army.
The mission is to educate today's children to competently carry on.
The army is whatever we've managed to cobble together to accomplish this mission, however unsatisfactory.
Echoing Rumsfeld, we go with the army we've got -- or not, if we choose to get back to first principles and redesign basic training (as may happen when the weapons change significantly).
Speaking of which army, our nation has a network of war colleges, including Duncan Richter's, where Wittgenstein gets studied. It's not like he's as well known as Sun Tzu in military circles, or that Clauswitz guy, but his philosophy does have its readers, partly, I will modestly concede, because of its value as a bridge to other disciplines (computer science, for example).
So if junior gets pulled from public school, say by disappointed parents, and sent to some boarding academy run along more military principles, will junior be more or less likely to encounter what I'm calling Pentagon Math?
I'd say more likely for a few reasons:
(1) the hexapent, in containing 12 pentagons at the corners of what might be described as a "high frequency icosasphere" (with the windows bashed in), fits easily over our globe, with the Arlington Pentagon at one vertex -- an easy mnemonic, already in widespread use in military circles
(2) military war games, especially antediluvean ones, focusing on the USA civil war or whatever, typically come with hexagonal tiles (like you'll find in our Park Blocks near PSU -- Portland State, one source of my income (your ears prick: always looking for how come I'm getting so rich ain't ya?)).
(3) Glenn Stockton's Global Matrix is developing a following. Doug Strain thinks he's good, as does our state's climatologist. This links to the whole global warming debate, Michael Crichton's book, Al Gore's movie and the rest of it (of military concern because the USA might want to go to war over the inalienable right of power nesters to burn as many dinos in their soccer mom SUVs as they damn well please -- like those sims in 'Over The Hedge' the movie).
I could go on, but let's just stop right here. Let's just assume that Pentagon Math (math with lots of hexagons and pentagons, per the Buckyball, nanotubes, viruses, honeycombs, NSA radomes...) filters out through our nation's military boarding schools and into popular culture.
I'd also expect more Pentagon Math on the Pentagon Channel, accessible to kids who may live on base, but are maybe bussed to a public school nearby (or maybe they home school). Their experience will be especially interesting: floundering luddites outside the base, who know quasi nothing about programming or the Fuller Projection, versus avuncular and seemingly all-knowing commanders on prime time, who seem to actually have some control of the situation.
The contrast will be sharp, and expect will lead to some questioning of authority around the dinner table. Public school kids probably won't like this feeling of being left behind, left out of the loop. I expect we might drive some long overdue reforms by this mechanism.
All of which meandering me to this question of funding...
Your school thinks we're already spending too much on the army we've got. You want to starve it into submission, then have it serve some kind of pre-constructivist pablum, similar to what you probably carry around in your own head and identify as "mathematics". You feel sidelined by the in-powers at present, but you're gearing up for the next big show down. You feel some new offensive is under way, and you want to be part of it, maybe getting behind Mathematically Correct as your standard bearer.
My school agrees that we need to get back to first principles, and retrain around new weapons of choice. That's how military types spontaneously think, isn't it? How can we get access to the best toys and win? And in this World Game context, we're actually on a convergent track with many like-minded civilians, as those new base housing designs have all the promising dual use characteristics we look for in base housing. Native Americans see teepees, Afghans see yurts, WW vets see Q-huts. Despite the transition to a more mechanical aesthetic (Fuller called them "dwelling machines") there's a lot of continuity at the level of native culture, and that's reassuring.
But all this new infrastructure will cost a lot of money. Most of the schools that'll train kids in these new lifestyles still need to be constructed. Spending more time outdoors, doing physical activities, is already a multi-billion dollar proposition.
But the coming generations are worth every penny is what I'm thinking. If it's really the army I think it is, we shouldn't be so penny pinching.
Sure, we oldsters will be relieved of command on many fronts, as our specific skills gradually fade in relevance, but isn't that *supposed* to happen?
Dinosaurs just fade away.
Our land of the free and home of the brave lives on.