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. — George Boole Copy Share Image
It follows that the word probability, in its mathematical acceptance, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information we possess concerning the circumstances of… — George Boole Copy Share Image
No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about… — George Boole Copy Share Image
I am now about to set seriously to work upon preparing for the press an account of my theory of Logic and Probabilities which… — George Boole Copy Share Image
I presume that few who have paid any attention to the history of the Mathematical Analysis, will doubt that it has been developed in… — George Boole Copy Share Image
Of the many forms of false culture, a premature converse with abstractions is perhaps the most likely to prove fatal to the growth of… — George Boole Copy Share Image
That language is an instrument of human reason, and not merely a medium for the expression of thought, is a truth generally admitted. — George Boole Copy Share Image
It is not of the essence of mathematics to be conversant with the ideas of number and quantity. — George Boole Copy Share Image
To unfold the secret laws and relations of those high faculties of thought by which all beyond the merely perceptive knowledge of the world… — George Boole Copy Share Image
Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into… — George Boole Copy Share Image
The general laws of Nature are not, for the most part, immediate objects of perception. — George Boole Copy Share Image
It is not of the essence of mathematics to be conversant with the ideas of number and quantity. Whether as a general habit of… — George Boole Copy Share Image
“There was yet another disadvantage attaching to the whole of Newton’s physical inquiries, ... the want of an appropriate notation for expressing the conditions… — George Boole Copy Share Image
It follows that the word probability, in its mathematical acceptance, has reference to the state of our knowledge of the circumstances under which an… — George Boole Copy Share Image
