In logic, necessity and sufficiency are implicational relationships between statements. The assertion that one statement is a necessary and sufficientcondition of another means that the former statement is true if and only if the latter is true. That is, the two statements must be either simultaneously true or simultaneously false.
In ordinary English, 'necessary' and 'sufficient' indicate relations between conditions or states of affairs, not statements. Being a male sibling is a necessary and sufficient condition for being a brother. Fred's being a male sibling is necessary and sufficient for the truth of the statement that Fred is a brother.
Definitions
In the conditional statement, "if S then N", the expression represented by S is called the antecedent and the expression represented by N is called the consequent. This conditional statement may be written in many equivalent ways, for instance, "N if S", "S implies N", "S only if N", "N is implied by S", S ⇒ N or "N whenever S".
In this video we compare NECESSARY conditions and SUFFICIENT Conditions. Suppose you are trying to conclude some statement B. A necessary condition is a statement A that must be true if B were to be true. A sufficient condition is a statement C where if you know C is true, then you can conclude that B is true. Confusing these two is one of the most common logical errors people tend to make in their day to day life.
►Full DISCRETE MATH Course Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►CALCULUS III: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_C...
published: 29 May 2017
What are Necessary and Sufficient Conditions? - Gentleman Thinker
Some logic this week, with necessary and sufficient conditions! A useful bit of jargon.
Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&list=PLvoAL-KSZ32cKobolNFwuqcPJ26cmF_11&index=1
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published: 23 May 2014
Propositional Logic: Necessary and Sufficient
http://www.criticalthinkeracademy.com
This video show how to interpret the conditional logic of claims of the form "A is necessary for B" and "A is sufficient for B".
→ http://brilliant.org/criticalthinking
The critical thinking miniseries was made possible by our viewers and listeners. To support more of this type of work, become a member or Patron at http://www.davidpakman.com/membership and https://www.patreon.com/davidpakmanshow
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published: 07 Mar 2018
Necessary and Sufficient Conditions
Starting with simple examples, explains the difference between a necessary and a sufficient condition. Defines both of them using the logical operator implies and uses the Contrapositive identity to explain how the two kinds of conditions relate to each other.
published: 06 May 2015
Unit 5.1: Causal Reasoning -- Necessary and Sufficient Conditions
An overview of the distinction between necessary and sufficient conditions. Thanks to the Wi-Phi initiative and Khan Academy for allowing the use through Creative Commons Licensing of Kelley Schiffman's second video on the distinction. Well done, Kelley and Sal!
Philosophers analyze concepts. One way to do that is to give the necessary and sufficient conditions for the concept. This video explains the difference between necessary conditions and sufficient conditions. It also describes how these get used in philosophical analysis, and Wittgenstien's objection to such methods.
Intro: (0:00)
Necessary Conditions: (0:33)
Sufficient Conditions: (1:33)
How They Relate: (2:20)
Philosophical Analysis: (2:57)
Conclusion: (4:58)
Stock Media Sources: FreePik (https://www.freepik.com) [including MacroVector], Pixabay (https://www.pexels.com), Pexels (https://www.pixabay.com),
Purple Planet (https://www.purple-planet.com), ZapSplat (https://www.zapsplat.com)
published: 29 Jun 2022
Necessary and Sufficient Conditions | Philosophy Glossary
What are 'Necessary and Sufficient Conditions' in philosophy? When do we use them, and how do they relate to each another? You'll know in under 5 minutes of this Philosophy Glossary explainer!
More Philosophy Glossary:
A Priori & a Posteriori https://youtu.be/tYfLejwA_Rs
Analytic & Synthetic https://youtu.be/LQmHE8fXhOE
Necessity, contingency, possibility https://youtu.be/2I0uGvT0AhU
00:00 - Intro
00:47 - Analysing a concept
01:09 - Necessary conditions
02:01 - Sufficient conditions
02:44 - Official definitions
03:22 - Why is this important?
04:13 - It’s not all about necessary & sufficient conditions!
04:54 - … but you still need to know necessary & sufficient conditions!
05:14 - Include these terms in your essays!
If there’s a topic you’d like to see covered, leave me a comment belo...
published: 30 Jul 2022
Conditionals, & Necessary & Sufficient Conditions
With practice
published: 23 Jan 2013
Necessary and Sufficient Conditions
A short description of necessary and sufficient conditions (90 Second Philosophy).
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
In this video we compare NECESSARY conditions and SUFFICIENT Conditions. Suppose you are trying to conclude some statement B. A necessary condition is a stateme...
In this video we compare NECESSARY conditions and SUFFICIENT Conditions. Suppose you are trying to conclude some statement B. A necessary condition is a statement A that must be true if B were to be true. A sufficient condition is a statement C where if you know C is true, then you can conclude that B is true. Confusing these two is one of the most common logical errors people tend to make in their day to day life.
►Full DISCRETE MATH Course Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►CALCULUS III: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
*****************************************************
YOUR TURN! Learning math requires more than just watching math videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
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In this video we compare NECESSARY conditions and SUFFICIENT Conditions. Suppose you are trying to conclude some statement B. A necessary condition is a statement A that must be true if B were to be true. A sufficient condition is a statement C where if you know C is true, then you can conclude that B is true. Confusing these two is one of the most common logical errors people tend to make in their day to day life.
►Full DISCRETE MATH Course Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►CALCULUS III: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
*****************************************************
YOUR TURN! Learning math requires more than just watching math videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
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Some logic this week, with necessary and sufficient conditions! A useful bit of jargon.
Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&...
Some logic this week, with necessary and sufficient conditions! A useful bit of jargon.
Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&list=PLvoAL-KSZ32cKobolNFwuqcPJ26cmF_11&index=1
Facebook: https://www.facebook.com/PhilosophyTube?ref=hl
Twitter: https://twitter.com/PhilosophyTube
Email: [email protected]
Some logic this week, with necessary and sufficient conditions! A useful bit of jargon.
Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&list=PLvoAL-KSZ32cKobolNFwuqcPJ26cmF_11&index=1
Facebook: https://www.facebook.com/PhilosophyTube?ref=hl
Twitter: https://twitter.com/PhilosophyTube
Email: [email protected]
http://www.criticalthinkeracademy.com
This video show how to interpret the conditional logic of claims of the form "A is necessary for B" and "A is sufficien...
http://www.criticalthinkeracademy.com
This video show how to interpret the conditional logic of claims of the form "A is necessary for B" and "A is sufficient for B".
http://www.criticalthinkeracademy.com
This video show how to interpret the conditional logic of claims of the form "A is necessary for B" and "A is sufficient for B".
→ http://brilliant.org/criticalthinking
The critical thinking miniseries was made possible by our viewers and listeners. To support more of this type of work, ...
→ http://brilliant.org/criticalthinking
The critical thinking miniseries was made possible by our viewers and listeners. To support more of this type of work, become a member or Patron at http://www.davidpakman.com/membership and https://www.patreon.com/davidpakmanshow
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→ http://brilliant.org/criticalthinking
The critical thinking miniseries was made possible by our viewers and listeners. To support more of this type of work, become a member or Patron at http://www.davidpakman.com/membership and https://www.patreon.com/davidpakmanshow
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Starting with simple examples, explains the difference between a necessary and a sufficient condition. Defines both of them using the logical operator implies ...
Starting with simple examples, explains the difference between a necessary and a sufficient condition. Defines both of them using the logical operator implies and uses the Contrapositive identity to explain how the two kinds of conditions relate to each other.
Starting with simple examples, explains the difference between a necessary and a sufficient condition. Defines both of them using the logical operator implies and uses the Contrapositive identity to explain how the two kinds of conditions relate to each other.
An overview of the distinction between necessary and sufficient conditions. Thanks to the Wi-Phi initiative and Khan Academy for allowing the use through Creati...
An overview of the distinction between necessary and sufficient conditions. Thanks to the Wi-Phi initiative and Khan Academy for allowing the use through Creative Commons Licensing of Kelley Schiffman's second video on the distinction. Well done, Kelley and Sal!
An overview of the distinction between necessary and sufficient conditions. Thanks to the Wi-Phi initiative and Khan Academy for allowing the use through Creative Commons Licensing of Kelley Schiffman's second video on the distinction. Well done, Kelley and Sal!
Philosophers analyze concepts. One way to do that is to give the necessary and sufficient conditions for the concept. This video explains the difference between...
Philosophers analyze concepts. One way to do that is to give the necessary and sufficient conditions for the concept. This video explains the difference between necessary conditions and sufficient conditions. It also describes how these get used in philosophical analysis, and Wittgenstien's objection to such methods.
Intro: (0:00)
Necessary Conditions: (0:33)
Sufficient Conditions: (1:33)
How They Relate: (2:20)
Philosophical Analysis: (2:57)
Conclusion: (4:58)
Stock Media Sources: FreePik (https://www.freepik.com) [including MacroVector], Pixabay (https://www.pexels.com), Pexels (https://www.pixabay.com),
Purple Planet (https://www.purple-planet.com), ZapSplat (https://www.zapsplat.com)
Philosophers analyze concepts. One way to do that is to give the necessary and sufficient conditions for the concept. This video explains the difference between necessary conditions and sufficient conditions. It also describes how these get used in philosophical analysis, and Wittgenstien's objection to such methods.
Intro: (0:00)
Necessary Conditions: (0:33)
Sufficient Conditions: (1:33)
How They Relate: (2:20)
Philosophical Analysis: (2:57)
Conclusion: (4:58)
Stock Media Sources: FreePik (https://www.freepik.com) [including MacroVector], Pixabay (https://www.pexels.com), Pexels (https://www.pixabay.com),
Purple Planet (https://www.purple-planet.com), ZapSplat (https://www.zapsplat.com)
What are 'Necessary and Sufficient Conditions' in philosophy? When do we use them, and how do they relate to each another? You'll know in under 5 minutes of thi...
What are 'Necessary and Sufficient Conditions' in philosophy? When do we use them, and how do they relate to each another? You'll know in under 5 minutes of this Philosophy Glossary explainer!
More Philosophy Glossary:
A Priori & a Posteriori https://youtu.be/tYfLejwA_Rs
Analytic & Synthetic https://youtu.be/LQmHE8fXhOE
Necessity, contingency, possibility https://youtu.be/2I0uGvT0AhU
00:00 - Intro
00:47 - Analysing a concept
01:09 - Necessary conditions
02:01 - Sufficient conditions
02:44 - Official definitions
03:22 - Why is this important?
04:13 - It’s not all about necessary & sufficient conditions!
04:54 - … but you still need to know necessary & sufficient conditions!
05:14 - Include these terms in your essays!
If there’s a topic you’d like to see covered, leave me a comment below.
Links:
My academic philosophy page: http://markjago.net
My book What Truth Is: http://bit.ly/JagoTruth
Most of my publications are available freely here: https://philpapers.org/s/Mark%20Jago
Get in touch on Social media!
Instagram: https://www.instagram.com/AtticPhilosophy
Twitter: https://twitter.com/PhilosophyAttic
#concepts #analysis #philosophy
What are 'Necessary and Sufficient Conditions' in philosophy? When do we use them, and how do they relate to each another? You'll know in under 5 minutes of this Philosophy Glossary explainer!
More Philosophy Glossary:
A Priori & a Posteriori https://youtu.be/tYfLejwA_Rs
Analytic & Synthetic https://youtu.be/LQmHE8fXhOE
Necessity, contingency, possibility https://youtu.be/2I0uGvT0AhU
00:00 - Intro
00:47 - Analysing a concept
01:09 - Necessary conditions
02:01 - Sufficient conditions
02:44 - Official definitions
03:22 - Why is this important?
04:13 - It’s not all about necessary & sufficient conditions!
04:54 - … but you still need to know necessary & sufficient conditions!
05:14 - Include these terms in your essays!
If there’s a topic you’d like to see covered, leave me a comment below.
Links:
My academic philosophy page: http://markjago.net
My book What Truth Is: http://bit.ly/JagoTruth
Most of my publications are available freely here: https://philpapers.org/s/Mark%20Jago
Get in touch on Social media!
Instagram: https://www.instagram.com/AtticPhilosophy
Twitter: https://twitter.com/PhilosophyAttic
#concepts #analysis #philosophy
A short description of necessary and sufficient conditions (90 Second Philosophy).
Information for this video gathered from The Stanford Encyclopedia of Philos...
A short description of necessary and sufficient conditions (90 Second Philosophy).
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
A short description of necessary and sufficient conditions (90 Second Philosophy).
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
In this video we compare NECESSARY conditions and SUFFICIENT Conditions. Suppose you are trying to conclude some statement B. A necessary condition is a statement A that must be true if B were to be true. A sufficient condition is a statement C where if you know C is true, then you can conclude that B is true. Confusing these two is one of the most common logical errors people tend to make in their day to day life.
►Full DISCRETE MATH Course Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
Other Course Playlists:
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
►CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►CALCULUS III: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
*****************************************************
YOUR TURN! Learning math requires more than just watching math videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Follow me on Twitter: http://twitter.com/treforbazett
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
Some logic this week, with necessary and sufficient conditions! A useful bit of jargon.
Gentleman Thinker playlist: https://www.youtube.com/watch?v=94YV6Lu009k&list=PLvoAL-KSZ32cKobolNFwuqcPJ26cmF_11&index=1
Facebook: https://www.facebook.com/PhilosophyTube?ref=hl
Twitter: https://twitter.com/PhilosophyTube
Email: [email protected]
http://www.criticalthinkeracademy.com
This video show how to interpret the conditional logic of claims of the form "A is necessary for B" and "A is sufficient for B".
→ http://brilliant.org/criticalthinking
The critical thinking miniseries was made possible by our viewers and listeners. To support more of this type of work, become a member or Patron at http://www.davidpakman.com/membership and https://www.patreon.com/davidpakmanshow
-Donate via Bitcoin: 15evMNUN1g4qdRxywbHFCKNfdCTjxtztfj
-Donate via Ethereum: 0xe3E6b538E1CD21D48Ff1Ddf2D744ea8B95Ba1930
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-Timely news is important! We upload new clips every day, 6-8 stories! Make sure to subscribe!
Starting with simple examples, explains the difference between a necessary and a sufficient condition. Defines both of them using the logical operator implies and uses the Contrapositive identity to explain how the two kinds of conditions relate to each other.
An overview of the distinction between necessary and sufficient conditions. Thanks to the Wi-Phi initiative and Khan Academy for allowing the use through Creative Commons Licensing of Kelley Schiffman's second video on the distinction. Well done, Kelley and Sal!
Philosophers analyze concepts. One way to do that is to give the necessary and sufficient conditions for the concept. This video explains the difference between necessary conditions and sufficient conditions. It also describes how these get used in philosophical analysis, and Wittgenstien's objection to such methods.
Intro: (0:00)
Necessary Conditions: (0:33)
Sufficient Conditions: (1:33)
How They Relate: (2:20)
Philosophical Analysis: (2:57)
Conclusion: (4:58)
Stock Media Sources: FreePik (https://www.freepik.com) [including MacroVector], Pixabay (https://www.pexels.com), Pexels (https://www.pixabay.com),
Purple Planet (https://www.purple-planet.com), ZapSplat (https://www.zapsplat.com)
What are 'Necessary and Sufficient Conditions' in philosophy? When do we use them, and how do they relate to each another? You'll know in under 5 minutes of this Philosophy Glossary explainer!
More Philosophy Glossary:
A Priori & a Posteriori https://youtu.be/tYfLejwA_Rs
Analytic & Synthetic https://youtu.be/LQmHE8fXhOE
Necessity, contingency, possibility https://youtu.be/2I0uGvT0AhU
00:00 - Intro
00:47 - Analysing a concept
01:09 - Necessary conditions
02:01 - Sufficient conditions
02:44 - Official definitions
03:22 - Why is this important?
04:13 - It’s not all about necessary & sufficient conditions!
04:54 - … but you still need to know necessary & sufficient conditions!
05:14 - Include these terms in your essays!
If there’s a topic you’d like to see covered, leave me a comment below.
Links:
My academic philosophy page: http://markjago.net
My book What Truth Is: http://bit.ly/JagoTruth
Most of my publications are available freely here: https://philpapers.org/s/Mark%20Jago
Get in touch on Social media!
Instagram: https://www.instagram.com/AtticPhilosophy
Twitter: https://twitter.com/PhilosophyAttic
#concepts #analysis #philosophy
A short description of necessary and sufficient conditions (90 Second Philosophy).
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
Information for this video gathered from The Stanford Encyclopedia of Philosophy, The Internet Encyclopedia of Philosophy, The Cambridge Dictionary of Philosophy, The Oxford Dictionary of Philosophy and more!
In logic, necessity and sufficiency are implicational relationships between statements. The assertion that one statement is a necessary and sufficientcondition of another means that the former statement is true if and only if the latter is true. That is, the two statements must be either simultaneously true or simultaneously false.
In ordinary English, 'necessary' and 'sufficient' indicate relations between conditions or states of affairs, not statements. Being a male sibling is a necessary and sufficient condition for being a brother. Fred's being a male sibling is necessary and sufficient for the truth of the statement that Fred is a brother.
Definitions
In the conditional statement, "if S then N", the expression represented by S is called the antecedent and the expression represented by N is called the consequent. This conditional statement may be written in many equivalent ways, for instance, "N if S", "S implies N", "S only if N", "N is implied by S", S ⇒ N or "N whenever S".