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Axioms Quotes

Axioms are delightful in theory, but impossible in practice Picture Quote #1

Those authors are to be read at schools that supply most axioms of prudence Picture Quote #1

For axioms in philosophy are not axioms until they are proved upon our pulses Picture Quote #1

Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles, which cannot be proved and have no need of proof Picture Quote #1

We must start with scientific fundamentals, and that means with the data of experiments and not with assumed axioms predicated only upon the misleading nature of that which only superficially seems to be obvious. It is the consensus of great scientists that science is the attempt to set in order the facts of experience Picture Quote #1

Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry Picture Quote #1

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The principles of Jefferson are the definitions and axioms of free society Picture Quote #1

Pointed axioms and acute replies fly loose about the world, and are assigned successively to those whom it may be the fashion to celebrate Picture Quote #1

Though moral axioms to guide the conduct of the practitioner have existed since the beginnings of the profession of healing, Western doctors are most likely to view the Hippocratic Oath of approximately two-and-a-half millennia ago as the first codified set of statements to which they can look for guidance Picture Quote #1

Those reliable axioms about the taste and expectations of the mass movie audience are not so much laws of nature as artifacts of corporate strategy. And the lessons derived from them conveniently serve to strengthen a status quo that increasingly marginalizes risk, originality and intelligence Picture Quote #1

I tell you the solemn truth, that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics Picture Quote #1

Freedom can be manifested only in the void of beliefs, in the absence of axioms, and only where the laws have no more authority than a hypothesis Picture Quote #1

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A science is something which is constructed from truth on workable axioms. There are 55 axioms in scientology which are very demonstrably true, and on these can be constructed a great deal Picture Quote #1

The law embodies the story of a nation’s development through many centuries, and it cannot be dealt with as if it contained only the axioms and corollaries of a book of mathematics Picture Quote #1

Life cannot be captured in a few axioms. and that is just what I keep trying to do. But it won’t work, for life is full of endless nuances and cannot be captured in just a few formulae Picture Quote #1

Ethical axioms are found and tested not very differently from the axioms of science. Truth is what stands the test of experience Picture Quote #1

We know that there is no absolute knowledge, that there are only theories; but we forget this. The better educated we are, the harder we believe in axioms Picture Quote #1

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? Picture Quote #1

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If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book... it may give the youngsters the impression that mathematics consists in proving the most obvious things in the least obvious way Picture Quote #1

When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates Picture Quote #1

Reality is not exhausted by knowledge. Inaccessible to research are the ultimate facts. All scientific conclusions are based on axioms, all reasoning depends ultimately upon faith. Faith is virgin thinking, preceding all transcendent knowledge. To believe is to abide at the extremities of spirit Picture Quote #1

The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of hypotheses or axioms Picture Quote #1

Axioms in philosophy are not axioms until they are proved upon our pulses: we read fine things but never feel them to the full until we have gone the same steps as the author Picture Quote #1

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Axioms are delightful in theory, but impossible in practice (Axioms Quotes) Those authors are to be read at schools that supply most axioms of prudence (Axioms Quotes) For axioms in philosophy are not axioms until they are proved upon our pulses (Axioms Quotes) Finally there are simple ideas of which no definition can be given; there are also axioms or postulates, or in a word primary principles, which cannot be proved and have no need of proof (Axioms Quotes) We must start with scientific fundamentals, and that means with the data of experiments and not with assumed axioms predicated only upon the misleading nature of that which only superficially seems to be obvious. It is the consensus of great scientists that science is the attempt to set in order the facts of experience. (Axioms Quotes) Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry. (Axioms Quotes) The principles of Jefferson are the definitions and axioms of free society (Axioms Quotes) Pointed axioms and acute replies fly loose about the world, and are assigned successively to those whom it may be the fashion to celebrate. (Axioms Quotes) Though moral axioms to guide the conduct of the practitioner have existed since the beginnings of the profession of healing, Western doctors are most likely to view the Hippocratic Oath of approximately two-and-a-half millennia ago as the first codified set of statements to which they can look for guidance. (Axioms Quotes) Those reliable axioms about the taste and expectations of the mass movie audience are not so much laws of nature as artifacts of corporate strategy. And the lessons derived from them conveniently serve to strengthen a status quo that increasingly marginalizes risk, originality and intelligence. (Axioms Quotes) I tell you the solemn truth, that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics (Axioms Quotes) Freedom can be manifested only in the void of beliefs, in the absence of axioms, and only where the laws have no more authority than a hypothesis (Axioms Quotes) A science is something which is constructed from truth on workable axioms. There are 55 axioms in scientology which are very demonstrably true, and on these can be constructed a great deal (Axioms Quotes) The law embodies the story of a nation’s development through many centuries, and it cannot be dealt with as if it contained only the axioms and corollaries of a book of mathematics (Axioms Quotes) Life cannot be captured in a few axioms. and that is just what I keep trying to do. But it won’t work, for life is full of endless nuances and cannot be captured in just a few formulae (Axioms Quotes) Ethical axioms are found and tested not very differently from the axioms of science. Truth is what stands the test of experience (Axioms Quotes) We know that there is no absolute knowledge, that there are only theories; but we forget this. The better educated we are, the harder we believe in axioms (Axioms Quotes) 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? (Axioms Quotes) If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book... it may give the youngsters the impression that mathematics consists in proving the most obvious things in the least obvious way (Axioms Quotes) When a truth is necessary, the reason for it can be found by analysis, that is, by resolving it into simpler ideas and truths until the primary ones are reached. It is this way that in mathematics speculative theorems and practical canons are reduced by analysis to definitions, axioms and postulates (Axioms Quotes) Reality is not exhausted by knowledge. Inaccessible to research are the ultimate facts. All scientific conclusions are based on axioms, all reasoning depends ultimately upon faith. Faith is virgin thinking, preceding all transcendent knowledge. To believe is to abide at the extremities of spirit (Axioms Quotes) The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of hypotheses or axioms (Axioms Quotes) Axioms in philosophy are not axioms until they are proved upon our pulses: we read fine things but never feel them to the full until we have gone the same steps as the author (Axioms Quotes)