Counterexample - Revision history

Aschlafly: add counterexample list

2023-08-13T04:49:36Z

add counterexample list

2016-07-11T17:57:36Z

In Science and Logic: Spelling, Grammar, and General Cleanup

2012-08-26T01:31:24Z

template

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In Science and Logic

2009-07-13T22:32:38Z

Reordering the examples

2009-07-12T21:57:07Z

In Science and Logic: add see Counterexamples to Evolution

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Correcting inconsistent spelling

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 The word counterexample originated in mathematics. It means an example that contradicts a general statement; therefore, the single example proves the statement false. Consider the statement
-"Every number ending in the digit 7 is prime." 7, 17, 37, 47, 57, and 67 are all prime, but 27 is not, so 27 is a counterexample.[[Category:Mathematics]]
+"Every number ending in the digit 7 is prime." 7, 17, 37, 47, 57, and 67 are all prime, but 27 is not, so 27 is a counterexample.
 {{Counterexamples}}

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 A theory of universality, such as the claim that ''all'' species [[theory of evolution|evolved]], can be disproved by just one '''counterexample''', such as a species (like the [[whale]]) that lacks a plausible evolutionary path.  See [[Counterexamples to Evolution]], [[Counterexamples to Relativity]].
-[[category:logic]]
+[[Category:Logic]]
 ==In Mathematics==

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	"Every number ending in the digit 7 is prime." 7, 17, 37, 47, 57, and 67 are all prime, but 27 is not, so 27 is a counterexample.[[Category:Mathematics]]		"Every number ending in the digit 7 is prime." 7, 17, 37, 47, 57, and 67 are all prime, but 27 is not, so 27 is a counterexample.[[Category:Mathematics]]
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		+	{{Counterexamples}}

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 Another example is the well-proven theory that cigarettes cause [[lung cancer]].  An '''counterexample''' of the (rare) individual who might smoke his entire life and not develop lung cancer.  The counterexample does not disprove the theory.
-A theory of universality, such as the claim that ''all'' species [[theory of evolution|evolved]], can be disproved by just one '''counterexample''', such as a species (like the [[whale]]) that lacks a plausible evolutionary path.  See [[Counterexamples to Evolution]].
+A theory of universality, such as the claim that ''all'' species [[theory of evolution|evolved]], can be disproved by just one '''counterexample''', such as a species (like the [[whale]]) that lacks a plausible evolutionary path.  See [[Counterexamples to Evolution]], [[Counterexamples to Relativity]].
 [[category:logic]]

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 ==In Science and Logic==
-For example, the well-proven theory that cigarettes cause [[lung cancer]] has the '''counterexample''' of the (rare) individual who might smoke his entire life and not develop lung cancer.  The counterexample does not disprove the theory.
+A '''counterexample''' cannot disprove correlation or causation.  An example of flawed [[liberal logic]] is the use of a counterexample to argue that a theory is false, as in "I don't go to church and I'm not a bad person, and therefore church is not needed."
-A '''counterexample''' cannot disprove correlation or causation.  An example of flawed [[liberal logic]] is the use of a counterexample to argue that a theory is false, as in "I don't go to church and I'm not a bad person, and therefore church is not needed."
+Another example is the well-proven theory that cigarettes cause [[lung cancer]].  An '''counterexample''' of the (rare) individual who might smoke his entire life and not develop lung cancer.  The counterexample does not disprove the theory.
 A theory of universality, such as the claim that ''all'' species [[theory of evolution|evolved]], can be disproved by just one '''counterexample''', such as a species (like the [[whale]]) that lacks a plausible evolutionary path.  See [[Counterexamples to Evolution]].

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 A '''counterexample''' is an example that is opposite to a theory or argument.
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 The word counter-example originated in mathematics. It means an example that contradicts a general statement; therefore, the single example proves the statement false. Consider the statement
-"Every number ending in the digit 7 is prime." 7, 17, 37, 47, 57, and 67 are all prime, but 27 is not, so 27 is a counterexample.
+"Every number ending in the digit 7 is prime." 7, 17, 37, 47, 57, and 67 are all prime, but 27 is not, so 27 is a counterexample.[[Category:Mathematics]]

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	A '''counterexample''' is an example that is opposite to a theory or argument.		A '''counterexample''' is an example that is opposite to a theory or argument.

← Older revision		Revision as of 23:50, January 5, 2009
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−	{{merge\|counter-example}}	+	[[Category:Mathematics]]{{merge\|counter-example}}

	A '''counterexample''' is an example that is opposite to a theory or argument.		A '''counterexample''' is an example that is opposite to a theory or argument.