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A Lil' Bert Can't Hurt: Words and Wisdom for Daily Life

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Bert McCoy

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“Mathematics is unable to specify whether motion is continuous, for it deals merely with hypothetical relations and can make its variable continuous or discontinuous at will. The paradoxes of Zeno are consequences of the failure to appreciate this fact and of the resulting lack of a precise specification of the problem. The former is a matter of scientific description a posteriori, whereas the latter is a matter solely of mathematical definition a priori. The former may consequently suggest that motion be defined mathematically in terms of continuous variable, but cannot, because of the limitations of sensory perception, prove that it must be so defined.”

CalculusMotionZeno
Book:The History of the Calculus and Its Conceptual Development
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“So many of the properties of matter, especially when in the gaseous form, can be deduced from the hypothesis that their minute parts are in rapid motion, the velocity increasing with the temperature, that the precise nature of this motion becomes a subject of rational curiosity. Daniel Bernoulli, John Herapath, Joule, Krönig, Clausius, &c., have shewn that the relations between pressure, temperature and density in a perfect gas can be explained by supposing the particles move with uniform velocity in straight lines, striking against the sides of the containing vessel and thus producing pressure. (1860)”

MatterSciencePropertyCuriosityPhysicsTemperatureMotionClausiusRudolf ClausiusRudolf Julius Emanuel ClausiusJames JouleJames Prescott JouleJouleBernoulliAugust Karl KrönigAugust KrönigDaniel BernoulliHerapathJohn HerapathKronigKrönigRudolf Gottlieb
Book:The Scientific Papers of James Clerk Maxwell: Volume II
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