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Ludwig Wittgenstein

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What should we gain by a definition, as it can only lead us to other undefined terms?
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p. 26

 
Ludwig Wittgenstein

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The definition of random in terms of a physical operation is notoriously without effect on the mathematical operations of statistical theory because so far as these mathematical operations are concerned random is purely and simply an undefined term. The formal and abstract mathematical theory has an independent and sometimes lonely existence of its own. But when an undefined mathematical term such as random is given a definite operational meaning in physical terms, it takes on empirical and practical significance. Every mathematical theorem involving this mathematically undefined concept can then be given the following predictive form: If you do so and so, then such and such will happen.

 
Walter A. Shewhart
 

Rules for Definitions. I. Not to undertake to define any of the things so well known of themselves that the clearer terms cannot be had to explain them. II. Not to leave any terms that are at all obscure or ambiguous without definition. III. Not to employ in the definition of terms any words but such as are perfectly known or already explained.

 
Blaise Pascal
 

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
 

I have a "Task": To foster all mankind and ensure for all of them lives full of ananda (bliss). I have a "Vow": To lead all who stray away from the straight path again into goodness and save them. I am attached to a "work" that I love: To remove the sufferings of the poor and grant them what they lack. I have a "reason to be proud", for I rescue all who worship and adore me, aright. I have my definition of the "devotion" I expect: Those devoted to me have to treat joy and grief, gain and loss, with equal fortitude. This means that I will never give up those who attach themselves to me.

 
Sathya Sai Baba
 

If the definition of simultaneity is given from a moving system, the spherical surface will result when Einstein's definition with ? = 1/2 is used, since it is this definition which makes the velocity of light equal in all directions.

 
Hans Reichenbach
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