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"No mathematician in the world would bother making these senseless distinctions: 2 1/2 is a "mixed number " while 5/2 is an "improper fraction." They're EQUAL for crying out loud. They are the exact same numbers and have the exact same properties. Who uses such words outside of fourth grade?"

— Paul Lockhart
paul lockhart Quotes Fourth,Fractions,Mathematician

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Paul Lockhart
Fourth
Fractions
Mathematician
Fourth Grade
Grades
Math
Distinction
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"It is essential to understand this point thoroughly: that the thing-in-itself, whether animal, vegetable, or mineral, is not only unknowable-it does not exist. This is important not only for sanity and peace of mind, but also for the most "practical" reasons of economics, politics, and technology.. This is not to say only that things exist in relation to one another, but that what we call "things" are no more than glimpses of a unified process. Certainly, this process has distinct features which catch our attention, but we must remember that distinction is not separation."

— Alan Watts

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And if we are honest we have to make a distinction between a democratic Israel that wants to live in peace and the terrorists who want Israel wiped out. The Israelis were told to give up land for peace; they gave up the land, but got no peace.

— J. D. Hayworth

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