query: Why doesn't calculus make a distinction between 0 and an infinitessimal quantity?
positive_passages.docid: 29213
positive_passages.text: Limit of 1/x as x approaches infinity
negative_passages.docid: 42031
negative_passages.text: Why the definition of limit have a strict inequality rather than not?
negative_passages.docid: 46010
negative_passages.text: Why don't we define division by zero as an arbritrary constant such as $j$?
negative_passages.docid: 134122
negative_passages.text: When is differentiating an equation valid?
negative_passages.docid: 153935
negative_passages.text: A weaker Axiom of Infinity?
negative_passages.docid: 88640
negative_passages.text: Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$
negative_passages.docid: 53361
negative_passages.text: If a measure only assumes values 0 or 1, is it a Dirac's delta?
negative_passages.docid: 105423
negative_passages.text: Why doesn't every integral from 0 to $2\pi$ equal zero?
negative_passages.docid: 2742
negative_passages.text: Is infinity a number?
negative_passages.docid: 55373
negative_passages.text: The difference between 0. and 0
negative_passages.docid: 23128
negative_passages.text: Why aren't logarithms defined for negative $x$?
negative_passages.docid: 100638
negative_passages.text: Why isn't the entropy of gas infinite if there are infinite microstates available?
negative_passages.docid: 113861
negative_passages.text: Exist vs exists in mathematics
negative_passages.docid: 42334
negative_passages.text: Does $\lambda$ $\mathbf u$ $= 0$ imply $\lambda = 0$ or $\mathbf u$ $= 0$?
negative_passages.docid: 8163
negative_passages.text: Why is Gibbs Free Energy not equal to 0? Its definition itself makes it 0
negative_passages.docid: 6396
negative_passages.text: If two limits don't exist, are we sure the limit of sum doesn't exist?
negative_passages.docid: 55577
negative_passages.text: Why is $\frac{1}{\infty } \approx 0 $ and $ \frac{1}{0} = {\infty}$?