Prab: CSV import

2025-02-13T04:03:22Z

CSV import

← Older revision		Revision as of 04:03, 13 February 2025
Line 1:		Line 1:
	~~'''~~Paradox''' is a statement or proposition that, despite sound (or apparently sound) reasoning from acceptable premises, leads to a conclusion that seems senseless, logically unacceptable, or self-contradictory. Paradoxes can often make us rethink some truths that we hold to be self-evident.		{{DISPLAYTITLE:Paradox}}

	==~~Types of Paradoxes~~==		== Paradox ==
			A '''paradox''' is a statement or proposition that, despite apparently sound reasoning from true premises, leads to a conclusion that seems logically unacceptable or self-contradictory. Paradoxes have been central to philosophical thinking and have been used to challenge the limits of [[logic]], [[language]], and [[truth]].

	~~There are~~ several types ~~of paradoxes~~, including:		== Types of Paradoxes ==
			Paradoxes can be classified into several types, including:

	* '''[[~~Logical~~ paradox]]~~''': These are paradoxes~~ that ~~are derived from seemingly valid reasoning from plausible premises, yet contradict one another~~.		=== Logical Paradoxes ===
			Logical paradoxes arise from self-reference or circular definitions. A classic example is the [[liar paradox]], which involves a statement that refers to itself in a way that creates a contradiction.

	* '''[[Veridical paradox]]''': These ~~are~~ paradoxes ~~that produce a result that appears absurd but is demonstrated to be true nevertheless~~.		=== Semantic Paradoxes ===
			Semantic paradoxes involve contradictions that arise from the use of language. These paradoxes often highlight the limitations of language in expressing certain concepts.

	* '''[[Falsidical paradox]]''': These are paradoxes ~~that may seem valid, but~~ are ~~actually based on~~ a ~~fallacy~~.		=== Epistemic Paradoxes ===
			Epistemic paradoxes are related to knowledge and belief. They often involve situations where the acquisition of new information leads to a contradiction in what is known or believed.

	* '''[[~~Antinomy~~]]'''~~: These are paradoxes~~ in ~~which~~ the ~~laws~~ of ~~logic are violated~~.		== The Liar Paradox ==
			[[File:Liars_paradox.svg\|thumb\|right\|Diagram illustrating the liar paradox]]
			The '''liar paradox''' is a well-known example of a logical paradox. It is typically expressed in the form of a sentence that states, "This statement is false." If the statement is true, then it must be false as it claims, but if it is false, then it is true, creating a contradiction.

	~~==Examples~~ of ~~Paradoxes==~~		The liar paradox has been a subject of extensive analysis in [[philosophy]] and [[logic]]. It challenges the notion of truth and has implications for the development of formal systems and theories of truth.

	~~Some well-known examples~~ of paradoxes ~~include:~~		== Historical Context ==
			Paradoxes have been studied since ancient times. The Greek philosopher [[Zeno of Elea]] is famous for his paradoxes that challenge the concept of motion and change. The liar paradox itself is attributed to the ancient Greek philosopher [[Eubulides of Miletus]].

	* '''[[Liar paradox]]''': ~~This is the statement "I am lying." If it's true, then it must be false.~~		== Implications of Paradoxes ==
			Paradoxes have significant implications in various fields:

	* ~~'''~~[[~~Russell's paradox~~]]~~''': This is a paradox that shows that some accepted assumptions about sets lead~~ to ~~a contradiction~~.		* In [[mathematics]], paradoxes have led to the development of new theories and systems, such as [[set theory]] and [[non-classical logic]].
			* In [[philosophy]], paradoxes challenge our understanding of concepts like truth, knowledge, and reality.
			* In [[computer science]], paradoxes influence the study of algorithms and computational theory.

	* ~~'''~~[[~~Zeno's paradoxes~~]]~~''': These are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea.~~		== Related Pages ==
			* [[Logic]]
			* [[Philosophy]]
			* [[Truth]]
			* [[Set theory]]
			* [[Non-classical logic]]

	~~==See Also==~~		[[Category:Logic]]

	* [[List of paradoxes]]
	* [[Self-reference]]
	* [[Mathematical fallacy]]

	~~==References==~~

	~~<references />~~

	[[Category:~~Paradox~~]]
	[[Category:Philosophy]]		[[Category:Philosophy]]
	[[Category:~~Logic~~]]		[[Category:Paradoxes]]
	~~{{stub}}~~

Prab: CSV import

2024-02-25T17:08:18Z

CSV import

New page

'''Paradox''' is a statement or proposition that, despite sound (or apparently sound) reasoning from acceptable premises, leads to a conclusion that seems senseless, logically unacceptable, or self-contradictory. Paradoxes can often make us rethink some truths that we hold to be self-evident.

==Types of Paradoxes==

There are several types of paradoxes, including:

* '''[[Logical paradox]]''': These are paradoxes that are derived from seemingly valid reasoning from plausible premises, yet contradict one another.

* '''[[Veridical paradox]]''': These are paradoxes that produce a result that appears absurd but is demonstrated to be true nevertheless.

* '''[[Falsidical paradox]]''': These are paradoxes that may seem valid, but are actually based on a fallacy.

* '''[[Antinomy]]''': These are paradoxes in which the laws of logic are violated.

==Examples of Paradoxes==

Some well-known examples of paradoxes include:

* '''[[Liar paradox]]''': This is the statement "I am lying." If it's true, then it must be false.

* '''[[Russell's paradox]]''': This is a paradox that shows that some accepted assumptions about sets lead to a contradiction.

* '''[[Zeno's paradoxes]]''': These are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea.

==See Also==

* [[List of paradoxes]]
* [[Self-reference]]
* [[Mathematical fallacy]]

==References==

<references />

[[Category:Paradox]]
[[Category:Philosophy]]
[[Category:Logic]]
{{stub}}

Paradox - Revision history

Prab: CSV import

Prab: CSV import