To avoid large and unsustainable budget deficits, the nation will ultimately have to choose among higher taxes, modifications to entitlement programs such as Social Security and Medicare, less spending on everything else from education to defense, or some combination of the above.
The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly dissimilar to, and I might even say in principle the same as, my method described above of introducing transfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.georg cantor
We may lay it down as an incontestible axiom, that, in all the operations of art and nature, nothing is created; an equal quantity of matter exists both before and after the experiment; the quality and quantity of the elements remain precisely the same; and nothing takes place beyond changes and modifications in the combination of these elements. Upon this principle the whole art of performing chemical experiments depends: We must always suppose an exact equality between the elements of the body examined and those of the products of its analysis.antoine lavoisier
With hindsight, the Samoa system with appropriate modifications ought to have been adopted. The complete acceptance of western democratic structures, apart from the appointment of Bose Levu Vakaturaga appointees in the Senate, in some respect was in advance of the understanding of democratic principles, particularly in the rural areas.ratu joni madraiwiwi
I contemplate the whole phenomena as having been in the first place arranged in the counsels of Divine Wisdom, to take place, not only upon this sphere, but upon all the others in space, under necessary modifications, and as being carried on, from first to last, here and elsewhere, under immediate favor of the creative will or energy.Footnote: When I formed this idea, I was not aware of one which seems faintly to foreshadow it—namely, Socrates's doctrine, afterwards dilated on by Plato, that "previous to the existence of the world, and beyond its present limits, there existed certain archetypes, the embodiment (if we may use such a word) of general ideas; and that these archetypes were models, in imitation of which all particular beings were created."
While in the course of ages the nucleus of social custom inscribed in law has been subjected to but slight and gradual modifications, the other portion has been largely developed in directions indicated by the interests of the dominant classes, and to the injury of the classes they oppress.peter kropotkin
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