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Mathematics Philosophy

1

axiomático*Since Euclid's axiomatic formulation of geometry mathematicians had been trying to prove his fifth postulate as a theorem deduced from the other four axioms.**We suggest that it was during R. L. Moore's tenure at Penn that he began to develop his method of teaching axiomatic systems, particularly topological spaces.**He also examined the consistency of certain propositions in Gödel's system of axiomatic set theory.**How would an Aristotelian understand complex analysis, or functional analysis, or point set topology, or axiomatic set theory?**The resulting system, with ten axioms, is now the most commonly used one for axiomatic set theory.**The authors seem to accept it as axiomatic that the masses who suffer under tyranny are necessarily pro-American.**It is axiomatic that to understand fully the current state of any area of human endeavour it is of vital importance to have a clear grasp of its past.**They came to accept as axiomatic that the strong and wealthy state is built on the energies of liberated individuals.**The constitution can be faulted to a very great extent for this present state of affairs, but it is axiomatic that in making constitutions work, a give-and-take between rival factions is essential.**It is axiomatic that every generation thinks the music of its youth was a benchmark of pop greatness.**It should be axiomatic that the State, acting as the collective will of its people, will not let a handful of unscrupulous persons with clever tongues to take control of the common man's freedom.**Like the photographer who shows his or her aptitude in the selective framing, it is axiomatic that the decisive representation of a single scene in pictorial representation is a key to its beauty.**It is axiomatic that the effective operation of our system of justice is contingent upon the existence of sufficient public confidence in its ability to perform its functions.**And when you start caring about sports in Philadelphia, it's pretty much axiomatic that you're going to get your heart broken.**I regard it as axiomatic that if you are unwilling to advocate for your interests and in consequence get walked all over by people who do, then you have no-one to blame but yourself.**It'll be all-natural and organic, of course; still, he's entering a market in which it is axiomatic that you either grow or die.**It's axiomatic that we have a grow-or-die economy.**Daily, the truth of this proposition - axiomatic to our ancestors, crassly ignored by progressive theorists today - becomes more evident.**It is axiomatic that the differences among the Chiefs of Staff are resolved by the military professionals themselves, with one of them acting as the arbitrator.**That people are different and should be allowed to make different choices is axiomatic to libertarians but they normally take that as given rather than arguing for it.**It is axiomatic that all monopoly groups, emerging from time to time, will remain the continuous target of the people so as to keep India free of despotism.**It is a tone which implies that certain thing in life are so axiomatic that no discussion of them is necessary or even possible.**It is axiomatic that hard cases make bad law, but this is not a hard case.**It is nearly axiomatic that voters in an election typically prefer the more likable candidate.**Which is that it is practically axiomatic that no decent progressive can really hold office - and remain worthy of support.*

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