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Mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics.

Charles Sanders Peirce

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Charles Sanders Peirce
Age: 74 †
Born: 1839
Born: September 10
Died: 1914
Died: April 19
Geodesist
Linguist
Logician
Mathematician
Philosopher
Pragmatist
Statistician
University Teacher
Phillips Place
Cambridge
Massachusetts
Charles Peirce
Charles S. Peirce
Charles Sanders Santiago Peirce
CSP
Mathematics
Except
Sciences
Standing
Distinguished
Need
Reasoning
Needs
Math
Ethics
Logic

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If liberty of speech is to be untrammeled from the grosser forms of constraint, the uniformity of opinion will be secured by a moral terrorism to which the respectability of society will give its thorough approval.
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It has never been in my power to study anything, mathematics, ethics, metaphysics, gravitation, thermodynamics, optics, chemistry, comparative anatomy, astronomy, psychology, phonetics, economics, the history of science, whist, men and women, wine, metrology, except as a study of semeiotic .
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Truth is that concordance of an abstract statement with the ideal limit towards which endless investigation would tend to bring scientific belief, which concordance the abstract statement may possess by virtue of the confession of its inaccuracy and one-sidedness, and this confession is an essential ingredient of truth.
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It is a common observation that those who dwell continually upon their expectations are apt to become oblivious to the requirements of their actual situation.
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It is not knowing, but the love of learning, that characterizes the scientific man.
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All the greatest achievements of mind have been beyond the power of unaided individuals.
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One will meet, for example, the virtual assumption that what is relative to thought cannot be real. But why not, exactly? Red is relative to sight, but the fact that this or that is in that relation to vision that we call being red is not itself relative to sight it is a real fact.
Charles Sanders Peirce
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Truly, that reason upon which we plume ourselves, though it may answer for little things, yet for great decisions is hardly surer than a toss up.
Charles Sanders Peirce
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Mathematics is purely hypothetical: it produces nothing but conditional propositions.
Charles Sanders Peirce
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The entire universe is perfused with signs, if it is not composed exclusively of signs.
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We shall do better to abandon the whole attempt to learn the truthunless we can trust to the human mind's having such a powerof guessing right that before very many hypotheses shall have been tried, intelligent guessing may be expected to lead us to one which will support all tests, leaving the vast majority of possible hypotheses unexamined.
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It is certain that the only hope of retroductive reasoning ever reaching the truth is that there may be some natural tendency toward an agreement between the ideas which suggest themselves to the human mind and those which are concerned in the laws of nature.
Charles Sanders Peirce
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It is terrible to see how a single unclear idea, a single formula without meaning, lurking in a young man's head, will sometimes act like an obstruction of inert matter in an artery, hindering the nutrition of the brain and condemning its victim to pine away in the fullness of his intellectual vigor and in the midst of intellectual plenty.
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... and it is probably that there is some secret here which remains to be discovered.
Charles Sanders Peirce
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Generality is, indeed, an indispensable ingredient of reality for mere individual existence or actuality without any regularity whatever is a nullity. Chaos is pure nothing.
Charles Sanders Peirce
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Doubt is an uneasy and dissatisfied state from which we struggle to free ourselves and pass into the state of belief while the latter is a calm and satisfactory state which we do not wish to avoid, or to change to a belief in anything else.
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The essence of belief is the establishment of a habit.
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A true proposition is a proposition belief which would never lead to such disappointment so long as the proposition is not understood otherwise than it was intended.
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In all the works on pedagogy that ever I read — and they have been many, big, and heavy — I don't remember that any one has advocated a system of teaching by practical jokes, mostly cruel. That, however, describes the method of our great teacher, Experience.
Charles Sanders Peirce
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It is the man of science, eager to have his every opinion regenerated, his every idea rationalized, by drinking at the fountain of fact, and devoting all the energies of his life to the cult of truth, not as he understands it, but as he does not yet understand it, that ought properly to be called a philosopher.
Charles Sanders Peirce