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It is a common observation that a science first begins to be exact when it is quantitatively treated. What are called the exact sciences are no others than the mathematical ones.

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
Called
Treatment
Common
Observation
Science
Mathematical
Others
Begins
Firsts
Accounts
First
Treated
Quantitatively
Mathematics
Sciences
Ones
Exact

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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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Consider what effects that might conceivably have practical bearings you conceive the objects of your conception to have. Then, your conception of those effects is the whole of your conception of the object.
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All the progress we have made in philosophy ... is the result of that methodical skepticism which is the element of human freedom.
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The idea does not belong to the soul it is the soul that belongs to the idea.
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We cannot begin with complete doubt.
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The method of authority will always govern the mass of mankind and those who wield the various forms of organized force in the state will never be convinced that dangerous reasoning ought not to be suppressed in some way.
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I define a Sign as anything which is so determined by something else, called its Object, and so determines an effect upon a person, which effect I call its Interpretant, that the latter is thereby mediately determined by the former.
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Every new concept first comes to the mind in a judgment.
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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.
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We should chiefly depend not upon that department of the soul which is most superficial and fallible (our reason), but upon that department that is deep and sure, which is instinct.
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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.
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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.
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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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All the greatest achievements of mind have been beyond the power of unaided individuals.
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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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Theoretically, I grant you, there is no possibility of error in necessary reasoning. But to speak thus theoretically, is to uselanguage in a Pickwickian sense. In practice, and in fact, mathematics is not exempt from that liability to error that affects everything that man does.
Charles Sanders Peirce
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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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The essence of belief is the establishment of a habit and different beliefs are distinguished by the different modes of action to which they give rise.
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But the extraordinary insight which some persons are able to gain of others from indications so slight that it is difficult to ascertain what they are, is certainly rendered more comprehensible by the view here taken.
Charles Sanders Peirce
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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.
Charles Sanders Peirce