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America 3.0: Rebooting American Prosperity in the 21st by James C. Bennett, Michael J. Lotus

By James C. Bennett, Michael J. Lotus

America’s maximum days are but to return.

We are in a painful transition interval. Our govt is crushingly pricey, failing at its easy features, and not able to maintain its gives you. It doesn't paintings and it can't proceed because it is. however the inevitable finish of huge govt doesn't suggest the top of the US. It merely capability the top of 1 part of yank existence.

America is poised to go into a brand new period of freedom and prosperity. The cultural roots of the yankee humans return no less than fifteen centuries, and make us individualistic, enterprising, and liberty-loving. The Founding iteration of the U.S. lived in a global of relatives farms and small companies, the United States 1.0. This global pale away and was once changed via an industrialized global of huge towns, significant enterprise, significant hard work unions and large executive, the US 2.0. Now the USA 2.0 is outmoded and crumbling, whereas the USA 3.0 is suffering to be born. This new global will deliver great productiveness, swift technological development, better scope for person and family-scale autonomy, and a leaner and strictly constrained executive.

America has made one significant transition already, and commercial the US turned an fiscal colossus. we're now creating a new transition, with the intention to shock many americans, and astonish the area.

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Additional resources for America 3.0: Rebooting American Prosperity in the 21st Century—Why America’s Greatest Days Are Yet to Come

Sample text

Es ist zu zeigen, dass Funktoren ~ = (P/-"@"~1'~2) existieren mit = (~',~/~"~1'~2) und ~' ~ 0 ~' = 1p ' und ~' 0 ~ = 1~/~,. Die Verhattnisse veranschauticht das bekannte Diagramm: (Da es nicht zu IrrtUmern ftihrt, braucht man die Objekt- und die Morphismenabbitdung nicht zu unterscheiden und kann beide mit dem Symbot des Funktors bezeichnen. Ebenso wird der Index , bei -, weggetassen. ) Setze: ~'f' = 0 : # o e- ,-1 ( 0 ' ) , = r :~ fE,-1(f'), ~O = 0' :~ ,0 = 0', ~r = f' :~ ,f = f' • 4,'0 ' Diese Abbitdungen sind wohtdefiniert: ~ Sei f1E r, und damit atso f1~ ~r1~= ~r f.

G] setzen, da Zg fog nicht bitdbar zu sein braucht. Der fotgende Hitfssatz zeigt aber, dass man stets f durch einen anderen Reprasentanten f' ersetzen kann, so dass f' H. S. 1 0 0 Seien [fJ, [g] g bitdbar ist. dann sind fotgende Aussagen aquivatent: ~ (a) Qf", Zg, (b) es existiert ein f'& tf1 so, dass Qf' = Zg ist. (a) fotgt aus (b) triviaterweise. Die Umkehrung fotgt aus (AN) fur fund Qf ...... Zg. - 32 Bez. S. ,[g] := [f'og] erkl,art. Es gil,t dabei =[ eZgo g ] = C g J und [fJ 0", [ e Qf J = [foe Qf J = [ f J .

A) Dann gibt es (~) verschiedene freie Teitkategorien &i von ~ mit zu Y' gteichmachtigen freien Erzeugenden- systemen Yi,und von jedem iFi gibt es m! verschiedene Funktoren cpo 1, (i = . J = 1, •.. ,iF',CP1i ,j,CP2i ,j) 1 = 1, •.. ), ftir die jewei~s cP~,j : Yi ~Y' bijektiv ist. - 23 b) Jeder dieser Funktoren ~i,j setzt sieh bei betiebiger Festtegung auf Y - Yi zu einem Funktor von W naeh P' fort. c) Hoehstens diese Funktoren kommen ats surjektive Funktoren von F naeh F' in Frage. d) Objektseits sind sie atte bereits surjektiv.

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