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The greatest tragedy of human existence is the illusion of separateness.

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George Boole

It is not of the essence of mathematics to be conversant with the ideas of number and quantity.

Essence, Ideas, Number, Numbers, Quantity
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No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.

Beautiful, Giving, Matter, May, Satisfied

That language is an instrument of human reason, and not merely a medium for the expression of thought, is a truth generally admitted.

Expression, Generally, Language, Learning, Merely

The general laws of Nature are not, for the most part, immediate objects of perception.

Law, Laws, Objects, Part, Perception

I presume that few who have paid any attention to the history of the Mathematical Analysis, will doubt that it has been developed in a certain order, or that that order has been, to a great extent, necessary -- being determined, either by steps of logical deduction, or by the successive introduction of new ideas and conceptions, when the time for their evolution had arrived.

Analysis, Doubt, Ideas, Introduction, Order

Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave nether room nor demand for a theory of probabilities.

Expectations, Founded, Perfect, Probability, Probability Theory, Room
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