Predicates and their Truth Sets
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- čas přidán 28. 05. 2017
- A predicate is a sentence that depends on the value of a variable. For instance, "x is greater than 3". If you tell me a specific value of x, like 7 or 2, then the predicate becomes a logical statement which is either true or false. The Truth Set of a predicate is all of the values of the variable(s) such that the corresponding statements are True.
Learning Objective
1) Determine whether a sentence is a logical statement or a predicate
2) Given a predicate, determine it's Truth Set
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I can not express how beneficial your videos are. From the bottom of my heart Thank you!
I just came from one of your videos on universal and existential qualifiers because I was confused as to what a predicate was. You set up the dilemma a predicate solves masterfully and then seamlessly tied that in with truth sets. Incredible job.
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Glad it was helpful!
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Quick question: at 5:22 you write out set notations but do you use a colon after TS (so TS:) or do you use an equals (like TS=)
at 3:30 you said it "nonsense" , shouldn't it be false? as it didn't follow the integer-condition........ or false logic depends only on the first part of condition?
Trefor Bazett oh thanks
Help professor,
Any number that is divisible by 2 is even.What does this mean?
1)Does it mean that "Any number that is divisible by 2" all such values are referred by term "even numbers"?
2)Or does it mean that whole collection/classes of such numbers are referred by "even numbers"?
@@DrTrefor But how it can be both,I am precisely asking what does the definition of even numbers refers to.Or for simply,the
definitions of chairs,tables,spoons
etc refers to a class satisfying the stated property or these terms symbolise any object satisfying stated property.
Hello. Then what if the given is "For all x, x > 10". There is no domain. Then is it still a predicate?
Sometimes the domain is implied. So here it PROBABLY means real numbers because if it meant something else it would say so
@@DrTrefor thank you so much for the response
In first video of this tutorial, you mentioned this was 5 module course. first one is these videos. Second is text book. and the 3rd was practical problems to solve. This tutorials are legacy but Can I get those problems to practice the math
Is the "nonsense" predicate not vacuously true?
love this video so far because my discrete structures professor is terrible, but did anyone else think he was actually writing backwards for a while then realize he just mirrors the video in post, so the bigger conspiracy here is that hes faking being a lefty, Trefor_lefty -> False
**edit: and then realized you're even dumber because he actually already said that replying to a comment below
Wait, is he writing backward?
was wondering that myself, but then i realized they probably mirror the video
Shouldn't 1/3 be in False category? With a specific value of x, the predicate becomes a statement.
A statement is only either T or F. It clearly isn't True, so why isn't it False?
very good lecture, however during the lecture i had a feeling as if i was being punished for sth.