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Full Idea
The most dangerous fallacy of inductive reasoning consists in examining a sample, finding some recondite property in it, and concluding at once that it belongs to the whole collection.
Gist of Idea
The worst fallacy in induction is generalising one recondite property from a sample
Source
Charles Sanders Peirce (Reasoning and the Logic of Things [1898], V)
Book Ref
Peirce,Charles Sanders: 'Reasoning and the Logic of Things', ed/tr. Ketner,K.L. [Harvard 1992], p.194
A Reaction
The point, I take it, is not that you infer that the whole collection has all the properties of the sample, but that some 'recondite' or unusual property is sufficiently unusual to be treated as general.