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Gregory Bateson

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Number is different from quantity.
--
p.118

 
Gregory Bateson

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We do not, however, reckon that trade disadvantageous which consists in the exchange of the hard-ware of England for the wines of France;and yet hard-ware is a very durable commodity, and were it not for this continual exportation, might too be accumulated for ages together, to the incredible augmentation of the pots and pans of the country. But it readily occurs that the number of such utensils is in every country necessarily limited by the use which there is for them;that it would be absurd to have more pots and pans than were necessary for cooking the victuals usually consumed there;and that if the quantity of victuals were to increase, the number of pots and pans would readily increase along with it, apart of the increased quantity of victuals being employed in purchasing them, or in maintaining an additional number of workman whose business it was to make them.

 
Adam Smith
 

Numbers are the product of counting. Quantities are the product of measurement. This means that numbers can conceivably be accurate because there is a discontinuity between each integer and the next. Between two and three there is a jump. In the case of quantity there is no such jump, and because jump is missing in the world of quantity it is impossible for any quantity to be exact. You can have exactly three tomatoes. You can never have exactly three gallons of water. Always quantity is approximate.

 
Gregory Bateson
 

This great increase of the quantity of work which, in consequence of the division of labour, the same number of people are capable of performing, is owing to three different circumstances; first, to the increase of dexterity in every particular workman; secondly, to the saving of the time which is commonly lost in passing from one species of work to another; and lastly, to the invention of a great number of machines which facilitate and abridge labour, and enable one man to do the work of many.

 
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Life is more important than art — quantity is only important in that the amount of activity is greater not the number of works.

 
Patrick Swift
 

Rather, for all objects and experiences there is a quantity that has an optimum value. Above that quantity, the variable becomes toxic. To fall below that value is to be deprived.

 
Gregory Bateson
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