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"We understand the mathematical reality of competing against an opponent with unlimited financial resources," he said.
Those who tout the virtues of the Electoral College should confront the mathematical reality of the inequities they are defending.
"We understand the mathematical reality of competing against an opponent with unlimited financial resources," he said in sort of bowing out.
Cubs in six With the reality that the Indians and the Cubs are actually going to face off against each other in the World Series, and that mathematical reality of a seven-game series dictates that one of these two perennial losers will have to win, we've reached the point where we must abandon rational analysis altogether.
That is the mathematical reality of the situation.
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As the primary cycle reaches its predictable conclusion, this ongoing denial of the mathematical realities of the race coupled with Sanders's apparent determination to derail Clinton's nomination raises a pressing question for both his movement and the Democratic Party: What exactly does Bernie Sanders want?
Already from this basic principles it can be concluded that intuitionism differs from Platonism and formalism, because neither does it assume a mathematical reality outside of us, nor does it hold that mathematics is a play with symbols according to certain fixed rules.
Sanders prompted one or two boos from the emotional crowd of his supporters when he spelled out the mathematical realities to them once and for all, but left no doubt where he now stood.
To some extent, this is a recognition of the mathematical reality: he would need to win 69 percent of the remaining delegates to secure the nomination before the convention, which seems highly unlikely.
The notion that having fewer rooms means having more space clings stubbornly in the face of mathematical reality.
On this analogy, we are born with a rudimentary concept of number, but as soon as we build on it with formal mathematical reasoning, the nature of mathematical reality forces us to discover some truths and not others.
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