https://wikimd.org/index.php?action=history&feed=atom&title=Logical_truthLogical truth - Revision history2026-04-25T13:44:33ZRevision history for this page on the wikiMediaWiki 1.44.2https://wikimd.org/index.php?title=Logical_truth&diff=6512761&oldid=prevPrab: CSV import2025-03-17T18:04:22Z<p>CSV import</p>
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<p><b>New page</b></p><div>'''Logical truth''' is a statement which is true in all possible worlds or under all possible interpretations. Logical truths are a central concept in [[logic]], [[philosophy]], and [[mathematics]]. They are often contrasted with [[empirical truth]]s, which are true based on observation and experience.<br />
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== Characteristics of Logical Truth ==<br />
Logical truths are characterized by their necessity and universality. They are true by virtue of their form and not because of any particular facts about the world. For example, the statement "All bachelors are unmarried" is a logical truth because it is true by definition.<br />
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== Examples of Logical Truths ==<br />
Some common examples of logical truths include:<br />
* Tautologies: Statements that are true by their logical form, such as "It is raining or it is not raining."<br />
* Mathematical truths: Statements in mathematics that are true by definition, such as "2 + 2 = 4."<br />
* Logical axioms: Fundamental principles in logic, such as the [[law of noncontradiction]], which states that a statement cannot be both true and false at the same time.<br />
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== Importance in Philosophy ==<br />
In [[philosophy]], logical truths are important for understanding the nature of [[truth]], [[knowledge]], and [[reality]]. They are often used in arguments to demonstrate the validity of certain philosophical positions. Logical truths are also crucial in the study of [[metaphysics]], where they help to explore the fundamental nature of being and existence.<br />
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== Logical Truth in Mathematics ==<br />
In [[mathematics]], logical truths are foundational. They form the basis of mathematical proofs and theorems. The study of logical truths in mathematics is closely related to the field of [[mathematical logic]], which investigates the formal properties of logical systems and their applications in mathematics.<br />
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== Related Concepts ==<br />
* [[Analytic proposition]]: A statement that is true by definition and whose truth can be determined by analyzing its meaning.<br />
* [[Synthetic proposition]]: A statement whose truth depends on how the world is, rather than on the meanings of the words involved.<br />
* [[A priori]]: Knowledge that is independent of experience.<br />
* [[A posteriori]]: Knowledge that depends on empirical evidence.<br />
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== See Also ==<br />
* [[Logic]]<br />
* [[Philosophy of logic]]<br />
* [[Mathematical logic]]<br />
* [[Tautology (logic)]]<br />
* [[Law of noncontradiction]]<br />
* [[Analytic-synthetic distinction]]<br />
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== References ==<br />
{{Reflist}}<br />
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== External Links ==<br />
{{Commons category|Logic}}<br />
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[[Category:Logic]]<br />
[[Category:Philosophy of logic]]<br />
[[Category:Mathematical logic]]<br />
[[Category:Philosophical logic]]<br />
[[Category:Concepts in logic]]<br />
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