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Mathematics is purely hypothetical: it produces nothing but conditional propositions.
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
Produce
Propositions
Nothing
Purely
Produces
Reasoning
Uncertainty
Certainty
Ontology
Logic
Conditional
Mathematics
Hypothetical
More quotes by Charles Sanders Peirce
The a priori method is distinguished for its comfortable conclusions. It is the nature of the process to adopt whatever belief weare inclined to, and there are certain flatteries to the vanity of man which we all believe by nature, until we are awakened from our pleasing dream by rough facts.
Charles Sanders Peirce
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.
Charles Sanders Peirce
Theology, I am persuaded, derives its initial impulse from a religious wavering for there is quite as much, or more, that is mysterious and calculated to awaken scientific curiosity in the intercourse with God, and it [is] a problem quite analogous to that of theology.
Charles Sanders Peirce
We cannot begin with complete doubt.
Charles Sanders Peirce
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
Whenever a man acts purposively, he acts under a belief in some experimental phenomenon. Consequently, the sum of the experimental phenomena that a proposition implies makes up its entire bearing upon human conduct.
Charles Sanders Peirce
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.
Charles Sanders Peirce
Some think to avoid the influence of metaphysical errors, by paying no attention to metaphysics but experience shows that these men beyond all others are held in an iron vice of metaphysical theory, because by theories that they have never called in question.
Charles Sanders Peirce
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.
Charles Sanders Peirce
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
It is not knowing, but the love of learning, that characterizes the scientific man.
Charles Sanders Peirce
The idea does not belong to the soul it is the soul that belongs to the idea.
Charles Sanders Peirce
Another characteristic of mathematical thought is that it can have no success where it cannot generalize.
Charles Sanders Peirce
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.
Charles Sanders Peirce
If man were immortal he could be perfectly sure of seeing the day when everything in which he had trusted should betray his trust, and, in short, of coming eventually to hopeless misery. He would break down, at last, as every good fortune, as every dynasty, as every civilization does. In place of this we have death.
Charles Sanders Peirce
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.
Charles Sanders Peirce
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.
Charles Sanders Peirce
The entire universe is perfused with signs, if it is not composed exclusively of signs.
Charles Sanders Peirce
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.
Charles Sanders Peirce
Notwithstanding all that has been discovered since Newton's time, his saying that we are little children picking up pretty pebbles on the beach while the whole ocean lies before us unexplored remains substantially as true as ever, and will do so though we shovel up the pebbles by steam shovels and carry them off in carloads.
Charles Sanders Peirce
