Berkeley argued in 'The Analyst' (1734) that reasoning about nascent or evanescent quantities involves a logical fallacy: quantities are treated as non-zero during calculation, then set to zero in the conclusion.

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Berkeley(as the author being discussed): George Berkeley was an Irish philosopher from the 1600s-1700s who argued that physical objects don't exist independently of being perceived—they only exist because someone is thinking about or observing them.
Evanescent quantities(as mathematical concepts Berkeley critiqued): Mathematical quantities that are vanishing or disappearing—essentially becoming zero; another term Berkeley used to describe the infinitely small values used in early calculus.
Logical fallacy(as what Berkeley claimed calculus contained): A mistake in reasoning where the logic doesn't actually hold up, even if it might sound convincing at first.
Nascent quantities(as mathematical concepts Berkeley critiqued): In calculus, quantities that are just beginning to exist or form—like the infinitely small changes mathematicians use to calculate slopes and rates of change.

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