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Axioms Quotes

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Axioms Quotes

“Based on the considerations of history, ancient history, and international axioms, the logic of following up a citizen with his shadow for the purpose of the demarcation of political frontiers of any state has been discounted for international conventions. For example the Arabs cannot ask Spain just because they were there some time in the past nor can they ask for any other area outside the frontiers of the Arab homeland”

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Author:Saddam Hussein
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“You can go through your whole life telling yourself that life is logical, life is prosaic, life is sane. Above all sane. And I think it is. I've had a lot of time to think about that. And what I keep coming back to is [her] dying declaration: 'So you understand that when we increase the number of variables, the axioms themselves never change.'”

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Author:Stephen King
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“Art, to me is the interpretation of the impression which nature makes upon the eye and brain. The word 'Impressionism' as applied to art has been abused, and in the general acceptance of the term has become perverted. [...] The true impressionism is realism. So many people do not observe. They take the ready-made axioms laid down by others, and walk blindly in a rut without trying to see for themselves.”

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Author:Childe Hassam
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“An axiomatic system establishes a reverberating relationship between what a mathematician assumes (the axioms) and what he or she can derive (the theorems). In the best of circumstances, the relationship is clear enough so that the mathematician can submit his or her reasoning to an informal checklist, passing from step to step with the easy confidence the steps are small enough so that he cannot be embarrassed nor she tripped up.”

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Author:David Berlinski
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“An axiomatic system comprises axioms and theorems and requires a certain amount of hand-eye coordination before it works. A formal system comprises an explicit list of symbols, an explicit set of rules governing their cohabitation, an explicit list of axioms, and, above all, an explicit list of rules explicitly governing the steps that the mathematician may take in going from assumptions to conclusions. No appeal to meaning nor to intuition. Symbols lose their referential powers; inferences become mechanical.”

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Book:The Advent of the Algorithm: The Idea that Rules the World
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“Can the difficulty of an exam be measured by how many bits of information a student would need to pass it? This may not be so absurd in the encyclopedic subjects but in mathematics it doesn't make any sense since things follow from each other and, in principle, whoever knows the bases knows everything. All of the results of a mathematical theorem are in the axioms of mathematics in embryonic form, aren't they?”

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Book:A diary on information theory
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“Blaise Pascal used to mark with charcoal the walls of his playroom, seeking a means of making a circle perfectly round and a triangle whose sides and angle were all equal. He discovered these things for himself and then began to seek the relationship which existed between them. He did not know any mathematical terms and so he made up his own. Using these names he made axioms and finally developed perfect demonstrations, until he had come to the thirty-second proposition of Euclid.”

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Author:Catharine Cox Miles
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“The maxim is, that whatever can be affirmed (or denied) of a class, may be affirmed (or denied) of everything included in the class. This axiom, supposed to be the basis of the syllogistic theory, is termed by logicians the dictum de omni et nullo.”

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Book:A System of Logic, Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence and the Methods of Scientific Investigation
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“It is an axiom in my mind that our liberty can never be safe but in the hands of the people themselves, and that too of the people with a certain degree of instruction. This it is the business of the state to effect, and on a general plan.”

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Book:Jefferson on Freedom: Wisdom, Advice, and Hints on Freedom, Democracy, and the American Way
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“The principles of Jefferson are the definitions and axioms of free society.”

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Book:The Modern Library Civil War Bookshelf 5-Book Bundle: Personal Memoirs, Uncle Tom's Cabin, The Red Badge of Courage, Jefferson Davis: The Essential Writings, The Life and Writings of Abraham Lincoln
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“It may safely be received as an axiom in our political system, that the state governments will in all possible contingencies afford complete security against invasions of the public liberty by the national authority.”

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Book:The Federalist Papers and the Constitution of the United States: The Principles of the American Government
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“But if men would give heed to the nature of substance they would doubt less concerning the Proposition that Existence appertains to the nature of substance: rather they would reckon it an axiom above all others, and hold it among common opinions. For then by substance they would understand that which is in itself, and through itself is conceived, or rather that whose knowledge does not depend on the knowledge of any other thing.”

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Author:Baruch Spinoza
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“The idea that to make a man work you've got to hold gold in front of his eyes is a growth, not an axiom. We've done that for so long that we've forgotten there's any other way.”

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Book:The Complete Works of F. Scott Fitzgerald: Novels, Short Stories, Poetry, Articles, Letters, Plays & Screenplays: From the author of The Great Gatsby, The Side of Paradise, Tender Is the Night, The Beautiful and Damned, The Love of the Last Tycoon, The Curious Case of Benjamin Button and many other notable works
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“It cannot be that axioms established by argumentation should avail for the discovery of new works, since the subtlety of nature is greater many times over than the subtlety of argument. But axioms duly and orderly formed from particulars easily discover the way to new particulars, and thus render sciences active.”

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Book:The Great Instauration
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“How odd that Americans, and not just their presidents, have come to think of their Constitution as something separable from the government it's supposed to constitute. In theory, it should be as binding on rulers as the laws of physics are on engineers who design bridges; in practice, its axioms have become mere options. Of course engineers don't have to take oaths to respect the law of gravity; reality gives them no choice. Politics, as we see, makes all human laws optional for politicians.”

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Author:Joseph Sobran
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