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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
Nothing
Purely
Produces
Reasoning
Uncertainty
Certainty
Ontology
Logic
Conditional
Mathematics
Hypothetical
Produce
Propositions
More quotes by Charles Sanders Peirce
All the progress we have made in philosophy ... is the result of that methodical skepticism which is the element of human freedom.
Charles Sanders Peirce
All the evolution we know of proceeds from the vague to the definite.
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
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
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
There never was a sounder logical maxim of scientific procedure than Ockham's razor: Entia non sunt multiplicanda praeter necessitatem. That is to say before you try a complicated hypothesis, you should make quite sure that no simplification of it will explain the facts equally well.
Charles Sanders Peirce
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
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
We cannot begin with complete doubt.
Charles Sanders Peirce
Another characteristic of mathematical thought is that it can have no success where it cannot generalize.
Charles Sanders Peirce
The essence of belief is the establishment of a habit.
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
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.
Charles Sanders Peirce
Bad reasoning as well as good reasoning is possible and this fact is the foundation of the practical side of logic.
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
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
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
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
A quality is something capable of being completely embodied. A law never can be embodied in its character as a law except by determining a habit. A quality is how something may or might have been. A law is how an endless future must continue to be.
Charles Sanders Peirce
Mere imagination would indeed be mere trifling only no imagination is mere .
Charles Sanders Peirce