Explore Counterexamples through 10+ example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Counterexamples meaning
plural of counterexample
Using Counterexamples
- The main meaning on this page is: plural of counterexample
- In the example corpus, counterexamples often appears in combinations such as: and counterexamples, provide counterexamples, counterexamples to.
Context around Counterexamples
- Average sentence length in these examples: 18.1 words
- Position in the sentence: 6 start, 5 middle, 5 end
- Sentence types: 16 statements, 0 questions, 0 exclamations
Corpus analysis for Counterexamples
- In this selection, "counterexamples" usually appears near the start of the sentence. The average example has 18.1 words, and this corpus slice is mostly made up of statements.
- Around the word, provide, give, smallest, exists, duverger and almost stand out and add context to how "counterexamples" is used.
- Recognizable usage signals include are no counterexamples at all and counterexamples duverger himself. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "counterexamples" sits close to words such as aaaa, abductees and abdulahi, which helps place it inside the broader word index.
Example types with counterexamples
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Of course, there were counterexamples. (5 words)
That theory, too, has counterexamples. (5 words)
Counterexamples Duverger himself did not regard his principle as absolute. (10 words)
One method of proof, usable when there are only a finite number of cases that could lead to counterexamples, is known as "brute force": in this approach, all possible cases are considered and shown not to give counterexamples. (38 words)
Examples and counterexamples Natural numbers The standard ordering ≤ of the natural numbers is a well ordering and has the additional property that every non-zero natural number has a unique predecessor. (31 words)
Popper was not able to find any counterexamples of human behavior in which the behavior could not be explained in the terms of Adler's or Freud's theory. (29 words)
Example sentences (16)
One method of proof, usable when there are only a finite number of cases that could lead to counterexamples, is known as "brute force": in this approach, all possible cases are considered and shown not to give counterexamples.
Of course, there were counterexamples.
That theory, too, has counterexamples.
It has also been designed to propel women to aspire to become successful leaders and thereby provide counterexamples to negative gender stereotypes,” he added.
Appel and Haken concluded that no smallest counterexamples exists because any must contain, yet do not contain, one of these 1,936 maps.
Counterexamples Duverger himself did not regard his principle as absolute.
Counterexamples to some variations on these statements can be found in the lists above.
Equivalence relations and mathematical logic Equivalence relations are a ready source of examples or counterexamples.
Examples and counterexamples Almost every topological space studied in mathematical analysis is Tychonoff, or at least completely regular.
Examples and counterexamples Natural numbers The standard ordering ≤ of the natural numbers is a well ordering and has the additional property that every non-zero natural number has a unique predecessor.
For axiomatization of algebraically closed fields, this is the best possible, as there are counterexamples if a single prime is excluded.
However, these counterexamples rely on −1 having a square root.
Motivations and applications In addition to its unifying approach, universal algebra also gives deep theorems and important examples and counterexamples.
Popper was not able to find any counterexamples of human behavior in which the behavior could not be explained in the terms of Adler's or Freud's theory.
There are closed quotients of the Moore plane which provide counterexamples.
This contradiction means there are no counterexamples at all and that the theorem is therefore true.
Common combinations with counterexamples
These word pairs occur most frequently in English texts:
- and counterexamples 3×
- provide counterexamples 2×
- counterexamples to 2×