Search results
Results from the WOW.Com Content Network
In traditional logic, a contradiction occurs when a proposition conflicts either with itself or established fact. It is often used as a tool to detect disingenuous beliefs and bias . Illustrating a general tendency in applied logic, Aristotle 's law of noncontradiction states that "It is impossible that the same thing can at the same time both ...
On Contradiction (simplified Chinese: 矛盾 论; traditional Chinese: 矛盾論; pinyin: Máodùn Lùn; lit. 'To Discuss Contradiction') is a 1937 essay by the Chinese Communist revolutionary Mao Zedong. Along with On Practice, it forms the philosophical underpinnings of the political ideology that would later become Maoism.
From the principle of explosion of classical logic, any proposition can be proved from a contradiction. Therefore, the presence of contradictions like Russell's paradox in an axiomatic set theory is disastrous; since if any formula can be proved true it destroys the conventional meaning of truth and falsity.
In classical logic, intuitionistic logic, and similar logical systems, the principle of explosion [a] [b] is the law according to which any statement can be proven from a contradiction. [1] [2] [3] That is, from a contradiction, any proposition (including its negation) can be inferred; this is known as deductive explosion. [4] [5]
An example of this paradox in eastern thought can be found in the origin of the Chinese word for contradiction (Chinese: 矛盾; pinyin: máodùn; lit. 'spear-shield'). This term originates from a story (see Kanbun § Example) in the 3rd century BC philosophical book Han Feizi. [2]
false (contradiction) bottom, falsity, contradiction, falsum, empty clause propositional logic, Boolean algebra, first-order logic: denotes a proposition that is always false. The symbol ⊥ may also refer to perpendicular lines.
He shared that to him, "Toys are fascinating cultural artifacts—they are seemingly innocent objects, yet they reflect deep societal norms, taboos, and contradictions.
Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884. In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical arguments, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.