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Quote by Charles Sanders Peirce

“Mathematics is purely hypothetical: it produces nothing but conditional propositions.”

Book:Collected papers of Charles Sanders Peirce

Work

Collected papers of Charles Sanders Peirce

The Collected Papers of Charles Sanders Peirce is a seminal work that gathers together the extensive and varied writings of one of the most influential thinkers of the 19th century. The collection offers insights into Peirce's contributions to the development of pragmatism, semiotics, and the philosophy of science. It includes his seminal essay 'How to Make Our Ideas Clear,' as well as numerous other works that explore the nature of truth, the role of the individual in knowledge, and the structure of scientific inquiry. more

Author

Charles Sanders Peirce

Charles Sanders Peirce was an American philosopher, logician, and scientist, born on September 10, 1839, and died on April 19, 1914. Known as the founder of modern symbolic logic, Peirce's philosophical ideas have had a profound impact on fields such as logic, philosophy of science, and cognitive science. more

“But as the work proceeded I was continually reminded of the fable about the elephant and the tortoise. Having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was not more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.”

World Way Years Fall Found Logic Twenties Conclusion Secure Certainty Mathematical Uncertainty Reasoning Elephants Toil Constructs Fables Ontology Tortoises Great Math

Book:Autobiography

Source: Autobiography

“Do you think it's possible that things that seem to be discrete in three dimensions might all be part of the same bigger object in four dimensions? ...What if humanity- that collective noun we so often employ- really is, at a higher level, a singular noun? What it what we perceive in three dimensions as seven billion individual human beings are really all just aspects of one giant being?”

“We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater, the one than the other. This astonishes our dimension of brains, which is only about six inches long, five broad, and six in depth, in the largest heads.”

Long Brain Five Greater Six Logic Infinite Depth Certainty Uncertainty Reasoning Dimensions Broads Inches Geometry Magnitude Ontology

Book:Voltaire – The Philosophical Works: Treatise On Tolerance, Philosophical Dictionary, Candide, Letters on England, Plato’s Dream, Dialogues, The Study of Nature, Ancient Faith and Fable, Zadig…: From the French writer, historian and philosopher, famous for his wit, his attacks on the established Catholic Church, and his advocacy of freedom of religion and freedom of expression

Source: Voltaire – The Philosophical Works: Treatise On Tolerance, Philosophical Dictionary, Candide, Letters on England, Plato’s Dream, Dialogues, The Study of Nature, Ancient Faith and Fable, Zadig…: From the French writer, historian and philosopher, famous for his wit, his attacks on the established Catholic Church, and his advocacy of freedom of religion and freedom of expression

“We think of the number "five" as applying to appropriate groups of any entities whatsoever - to five fishes, five children, five apples, five days... We are merely thinking of those relationships between those two groups which are entirely independent of the individual essences of any of the members of either group. This is a very remarkable feat of abstraction; and it must have taken ages for the human race to rise to it”