“Rules necessary for axioms. Not to demand in axioms any but things perfectly evident.”

— Blaise Pascal

The Art of Persuasion

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Blaise Pascal 144

French mathematician, physicist, inventor, writer, and Chri… 1623–1662

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“Rules for Axioms. I. Not to omit any necessary principle without asking whether it is admittied, however clear and evident it may be. II. Not to demand, in axioms, any but things that are perfectly evident in themselves.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

The Art of Persuasion

“Rules necessary for demonstrations. To prove all propositions, and to employ nothing for their proof but axioms fully evident of themselves, or propositions already demonstrated or admitted; Never to take advantage of the ambiguity of terms by failing mentally to substitute definitions that restrict or explain them.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

The Art of Persuasion

“AXIOM. — Property is the Right of Increase claimed by the Proprietor over any thing which he has stamped as his own.”

Pierre Joseph Proudhon (1809–1865) French politician, mutualist philosopher, economist, and socialist

Source: What is Property? (1840), Ch. IV

“Aristotle's axiom: The worst form of inequality is to try to make unequal things equal.”

Laurence J. Peter (1919–1990) Canadian eductor

Source: Peter's People and Their Marvelous Ideas

“It has long been an axiom of mine that the little things are infinitely the most important.”

Arthur Conan Doyle book The Memoirs of Sherlock Holmes

Source: The Memoirs of Sherlock Holmes

“The opinions that the price of commodities depends solely on the proportion of supply and demand, or demand to supply, has become almost an axiom in political economy, and has been the source of much error in that science.”

David Ricardo (1772–1823) British political economist, broker and politician

Source: The Principles of Political Economy and Taxation (1821) (Third Edition), Chapter XXX, Influence of Demand and Supply, p. 260

“I find OOP methodologically wrong. It starts with classes. It is as if mathematicians would start with axioms. You do not start with axioms - you start with proofs. Only when you have found a bunch of related proofs, can you come up with axioms. You end with axioms. The same thing is true in programming: you have to start with interesting algorithms. Only when you understand them well, can you come up with an interface that will let them work.”

Alexander Stepanov (1950) Russian programmer

An Interview with A. Stepanov by Graziano Lo Russo, 2008-04-25 http://www.stlport.org/resources/StepanovUSA.html,

“A: "Your objection to the self-evident has no validity. There is no such thing as disagreement. People agree about everything."
B: "That’s absurd; people disagree constantly, and about all kinds of things."
A: "How can they? There’s nothing to disagree about; no subject matter. After all, nothing exists."
B: "Nonsense. All kinds of things exist, you know that as well as I do."
A: "That’s one. You must accept the existence axiom, even to utter the term “disagreement.” But to continue, I still maintain that disagreement is unreal. How can people disagree when they are unconscious beings who are unable to hold any ideas at all?"
B: "Of course people hold ideas. They are conscious beings. You know that."
A: "There’s another axiom, but even so, why is disagreement about axioms a problem? Why should it suggest that one or more of the parties is mistaken? Perhaps all of the people who disagree about the very same point are equally, objectively right."
B: "That’s impossible. If two ideas contradict each other, they can’t both be right. Contradictions can’t exist in reality. After all, A is A."
Existence, consciousness, identity are presupposed by every statement and by every concept, including that of "disagreement." … In the act of voicing his objection, therefore, the objector has conceded the case. In any act of challenging or denying the three axioms, a man reaffirms them, no matter what the particular content of this challenge. The axioms are invulnerable.
The opponents of these axioms pose as defenders of truth, but it is only a pose. Their attack on the self-evident amounts to the charge. "Your belief in an idea doesn't necessarily make it true; you must prove it, because facts are what they are independent of your beliefs." Every element of this charge relies on the very axioms that these people are questioning and supposedly setting aside.”

Leonard Peikoff (1933) Canadian-American philosopher

Objectivism: The Philosophy of Ayn Rand (1991) ; Dialogue used to show that existence, conciousness, identity, and non-contradiction are axioms, using A as a defender of the axioms, and B as an opponent of the axioms,
1990s

“Rules necessary for definitions. Not to leave any terms at all obscure or ambiguous without definition; Not to employ in definitions any but terms perfectly known or already explained.”

Blaise Pascal (1623–1662) French mathematician, physicist, inventor, writer, and Christian philosopher

The Art of Persuasion

“The principles of Jefferson are the definitions and axioms of free society. And yet they are denied and evaded, with no small show of success. One dashingly calls them ”glittering generalities.” Another bluntly calls them “self-evident lies.” And others insidiously argue that they apply to “superior races.””

Abraham Lincoln (1809–1865) 16th President of the United States

These expressions, different in form, are identical in object and effect — the supplanting the principles of free government, and restoring those of classification, caste and legitimacy. They would delight a convocation of crowned heads plotting against the people. They are the vanguard, the miner and sappers, of returning despotism. We must repulse them, or they will subjugate us.
Source: 1850s, Letter to Henry L. Pierce (1859), p. 376

“Rules necessary for axioms. Not to demand in axioms any but things perfectly evident.”

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Blaise Pascal 144

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