indiscernible

　 　 　

WordNet

1. difficult or impossible to perceive or discern; "an indiscernible increase in temperature"
2. barely able to be perceived; "the transition was almost indiscernible"; "an almost insensible change" (同)insensible, undetectable
3. capable of being perceived clearly; "an essay with a meaning that was not always discernible"
4. perceptible by the senses or intellect; "things happen in the earth and sky with no discernible cause"; "the newspaper reports no discernible progress in the negotiations"; "the skyline is easily discernible even at a distance of several miles" (同)discernable
5. capable of being seen or noticed; "a discernible change in attitude"; "a clearly evident erasure in the manuscript"; "an observable change in behavior" (同)evident, observable

PrepTutorEJDIC

1. 目に見えない,識別できない
2. 認識できる;区別できる,見分けがつく

Wikipedia preview

出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2015/07/17 12:16:12」(JST)

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In mathematical logic, indiscernibles are objects which cannot be distinguished by any property or relation defined by a formula. Usually only first-order formulas are considered.

Examples

If a, b, and c are distinct and {a, b, c} is a set of indiscernibles, then, for example, for each binary formula φ, we must have

Historically, the identity of indiscernibles was one of the laws of thought of Gottfried Leibniz.

Generalizations

In some contexts one considers the more general notion of order-indiscernibles, and the term sequence of indiscernibles often refers implicitly to this weaker notion. In our example of binary formulas, to say that the triple (a, b, c) of distinct elements is a sequence of indiscernibles implies

Applications

Order-indiscernibles feature prominently in the theory of Ramsey cardinals, Erdős cardinals, and Zero sharp.

See also

• Rough set

References

• Jech, Thomas (2003). Set Theory. Springer Monographs in Mathematics (Third Millennium ed.). Berlin, New York: Springer-Verlag. ISBN 978-3-540-44085-7. Zbl 1007.03002. 

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Related Links

• Indiscernible | Define Indiscernible at Dictionary.com

Indiscernible definition, not discernible; that cannot be seen or perceived clearly; imperceptible. See more. Thesaurus Translate Puzzles & Games Reference Word of the Day Blog Slideshows Apps by Dictionary My Account ...

• indiscernibleの意味 - 英和辞書 - 英語辞書 - goo辞書

indiscernibleとは。意味や和訳。[形]識別[感知]できない，認められないan indiscernible differenceすぐにはわからない程の違いan indiscernible shade見分けにくい陰影.in・dis・cern・i・bly[副] - goo英和辞書は14万項目以上を収録し、発音 ...

• Indiscernible dictionary definition | indiscernible defined

that cannot be discerned; imperceptible Origin of indiscernible Late Latin indiscernibilis

Related Pictures

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★リンクテーブル★

リンク元	「discernible」

「discernible」

　　[★]

• adj.

• 認められる。(人に)認識できる、見分けられる(to)

関

indiscernible

関

discernable、distinguishable、distinguishably