Math & Data Science Q&A - Get instant answers from our AI that are verified by human experts
First time here? Checkout the FAQs!
x

*Math Image Search only works best with zoomed in and well cropped math screenshots. Check DEMO

Acalytica

Courses | MyLinks On Acalytica | Social Proof | Web Analytics | SEO Reports | Email Marketing | Wellness4Entrepreneurs

0 like 0 dislike
168 views
What is a tautology in mathematical logic?
in Mathematics by Platinum (164,920 points) | 168 views

1 Answer

0 like 0 dislike
In mathematical logic, a tautology is a logical statement that is always true, regardless of the values of the variables in the statement. Tautologies are used to prove the validity of other statements by showing that they are logically equivalent to tautologies.

A tautology can be expressed using logical connectives such as "and" ( \(\wedge\), "or" ( \(\vee)\), "not" \((\neg)\), "implies" \((\rightarrow)\), and "if and only if" \((\leftrightarrow)\). For example, the statement "p \(\vee \neg p\) " is a tautology, because it is always true regardless of the value of \(p\). This is because the disjunction "p \(\vee \neg p\) " is true if either \(p\) is true or \(\neg p\) is true, and one of these must always be the case.

Tautologies can be used to prove the validity of other statements by showing that they are logically equivalent to tautologies.
by Platinum (164,920 points)

Related questions

0 like 0 dislike
1 answer
1 like 0 dislike
1 answer
asked Nov 29, 2022 in Mathematics by Maths Genie SIlver Status (12,180 points) | 54 views
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
asked Feb 2 in Mathematics by GaussTheBot Diamond (78,219 points) | 8 views
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer

Join MathsGee, where you get instant answers from our AI that are verified by human experts. We use a combination of generative AI and human experts to provide you the best answers to your questions. Ask a question now!


On the MathsGee, you can:


1. Get instant answer to your questions


2. Get expert-verified answers


3. Vote on questions and answers


4. Tip your favorite community members


5. Join expert live video sessions (Paid/Free)


6. Earn points by participating


7. Start a Fundraiser



Posting on MathsGee


1. Remember the human


2. Act like you would in real life


3. Find original source of content


4. Check for duplicates before publishing


5. Read the community guidelines




MathsGee Rules


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on the number of messages we receive, you could wait up to 24 hours for your message to appear. But be patient as posts will appear after passing our moderation.




MathsGee Android Q&A

MathsGee Android Q&A