5

Question 2. Use the symbolization key below to symbolize the following sentences of English in FOL points eachdomain: People Cx: is cool Fxy: LCX is a fan of Nx: is...

Question

Question 2. Use the symbolization key below to symbolize the following sentences of English in FOL points eachdomain: People Cx: is cool Fxy: LCX is a fan of Nx: is fun Rxy: is a friend of Axy: X admirest: Tayor Swift b: Beyonce c: Bob d: Danicaa) Bob is a fan of Beyonce only ifhe is cool b) Some people are neither fans of Beyonce nor fans of Taylor Swift c) Nobody is a fan of Taylor Swift d) Not all cool people are fans of Beyonce, but some of them are. e) Every Taylor Swift fan admires both Bo

Question 2. Use the symbolization key below to symbolize the following sentences of English in FOL points each domain: People Cx: is cool Fxy: LCX is a fan of Nx: is fun Rxy: is a friend of Axy: X admires t: Tayor Swift b: Beyonce c: Bob d: Danica a) Bob is a fan of Beyonce only ifhe is cool b) Some people are neither fans of Beyonce nor fans of Taylor Swift c) Nobody is a fan of Taylor Swift d) Not all cool people are fans of Beyonce, but some of them are. e) Every Taylor Swift fan admires both Bob and Danica f) Everyone admires at least one person g There is someone who is admired by every single person h) No one admires themselves 1) Some Beyonce fan is friends with every Taylor Swift fan_



Answers

Let L(x, y) be the statement “x loves y,” where the domain for both x and y consists of all people in the world. Use quantifiers to express each of these statements.
a) Everybody loves Jerry.
b) Everybody loves somebody.
c) There is somebody whom everybody loves.
d) Nobody loves everybody.
e) There is somebody whom Lydia does not love.
f ) There is somebody whom no one loves.
g) There is exactly one person whom everybody loves.
h) There are exactly two people whom Lynn loves.
i) Everyone loves himself or herself.
j) There is someone who loves no one besides himself or herself.

In this problem, we're going to be focusing on quantify IRS where were given a statement, and we have to find essentially the domain of that statement using our knowledge of mathematical quantify IRS now quantify IRS are very important. And they're going to come up, um, and be significant when you get into introductory proofs and proves later on. But for right now, we're just getting used to the concept of quantify IRS and how to use them and the difference between them. So, please, while you're going through this video, please look back at the problem to remind yourselves of the original statement that we were given. I think that's going to help. Um, if you're new to quantify IRS and learning it for the first time. Okay, so for part A, we're going to let the proposition all function B y of X, and we're going to say X is the school. Then we're going to say we have this additional function. Um, X is that X has visited Uzbekistan. And so the domain of this using these conditions is that there exists y X, and you have X. So what does that mean? There exists someone in the school. Who has visited whose Pakistan now suppose that a Person X has visited a country? Why, which will denote be of X comma y? So now when we take all of this into account, we can say that the domain of the original statement is that there exists why FX and a V of X comma use Pakistan. Now let's move on to part B. We're going to follow essentially the same procedure. Let's consider functions see of X and P of X. So the domain of just these functions at the moment would be for all X. We have X. Pardon me, Why X maps to see f X and p of X. So suppose that there is a Person X who studied subject why and will denote this by s comment. Pardon me s of X comma y. So the domain of this remember, we're considering the grade and calculus is that for all X? This would hold Y X maps, toe s of X comma calculus and s common X C plus plus. Now on to part C, we're going to follow the same procedure, so we're gonna let be of X and M of X B functions bead notes, bicycle m denotes motorcycle. So the domain of this would be that for all X. We have this thing to be true y x maps to the negation of B F, X and innovex. Now remember, negation means we is essentially not so This is not be of X and mm of X. Now suppose that Person X has an item. Why, Given that we have in this essentially notation we have O of X comma y. So now we have to find the domain of our original statement For all X. This would be true. Y X maps to the negation of zero. Pardon me. Oh, of X com A bicycle and o x com A motorcycle Alice who want to deep We're gonna let h of x b that X is happy. The domain of this would be that there exists an X such that y x and not h of X. So this is saying that there exists a person such that they are not happy. So suppose a Person X is in the mental state e of x comma y. So the domain of this taking all of these conditions into account is that there exists an X such that y X and not e of x com happy. And now, finally, we're gonna say, let t of X for party. Sorry for tea of X. Be such that X is born in the 20th century. So the domain for this statement alone would be that for all X. We have y x maps to t of X so that for all people, they would be born in the 20th century. So suppose a Person X is born in Wyeth century. Maybe not the 20th century will to note that by b of x comma y. So the domain of this original statement would be for all X such that y x maps to be of X comma 20. So I hope that this problem helped you understand or maybe even introduced you to the notion of quantify IRS and how we can use them. Particularly we have to define. All of the, um, conditions were going to be quantifying. And then we could use things such as, for all, for every such that Teoh essentially take a statement in English terms and move it into a mathematical statement

Because they're the same. A queue of X comma y is a student. Thanks. Has been a consistence on quiz show. Why? Okay, we have exes domain consistent all students at your school and one consistent of all ship quiz shows on television. Now for for a we have there's students. So there exists, um, ex at your school who has read the contestants on a television quiz show. So this is big this, um, ex exists. And why such? That's Q of X comma y home for part B. We have no student at your school. Okay, so I noticed no student at your school has ever been to a consistent oh has ever been a contestant contestant on the television question. So for all ex, for all Why a delegation of q X y hope apart. See, we have here is a student at the school who has been the contestant on jeopardy and on well, will a fortune. So that slip there's just some ex such sense hue of ex Jeopardy. And you, uh, ex well, gin holds good. No, we're working. We have every television. Quite a show has had a student from your school as a contestant. So this is this gonna be for, uh, television quiz shows? There exists? Um, student. So it's like you of that, Sona. Why holds reports we have that at least two students from your school husband. Contestants of Jeopardy. Okay, so there exists some X and then just, um, Why such That's used to our students. So X is not equal to why. And they have been in jeopardy so soon. Ex husband in jeopardy and also students, why has been in jeopardy.

And so the objective is to go for a path. The objective is to translate the statement. Someone in your class can speak hindi into logical expression. Since the domain consists of the students in your class, they're going to let them sea of X to the proposition of function. Ex student Yeah. In your class. Yeah. Mhm. So now you're going to write a statement in logical expressionless. There's there's some X where H of X and there is this some X where C. Of X, conjunction H of X. So here H of X is um X can speak in hindi. So let me just write you two over here. So each of X means um X. Yeah, can speak hindi. Yeah. Okay. And I said earlier that sea of X be the purpose proposition of function where excess and the students in your class. So this is for the part 8 to for part B. Mhm. So for part B. So B your objective is to translate the statement everyone in your classes friends into logical expression. Since the domain consists of a student in your class, you're going to let's see of X be the proposition of function where X. Is the students in your class, as I said earlier to see of X. Is the proposition of version and X here is mhm. Is the student. Mhm Yeah, students in your class. So we are going to write the logical expressionless for all X for all X of F of X and for all X. Yeah of C of X weapon into F of X. So here F of X is X. Is friendly. So F of X over here in this access friendly. So this is how to write that. This statement. Everyone in your class is friendly in logical expression. So there's no one should I see. But so the C paths the objective is to translate the statement. There is a person in your class who was not born in California in theological expression. So here again see access their proposition information. So we are going to write the logical expressionless. There's this so for C fat there exists the assist um X relegation of B of X and they exist some X. Oh I see of X. And conjunction medication be of eggs here. B of X. S. X was born in California. So this is the logical expression. So for the price as well your objective is to translate the statement students in your class has been in the movie into logical expression. Sea of X is of course the oppositional function. So you're going to write this looking car this into a logical expression. So it's going to be, there is just some X. What am of X? And there exists some X for C of X. Yeah, conjunction M of X. So in this situation as well M F M of X. Yes X has been in a movie. So for parts E. Your objective is to translate the statement. No students in your class has taken a cost and logic for government In logic pro government into logical expression. So a sea of X is the proposition of function. So we are going to write this into political expression as four oh expo for every X minus L. Of X. And for all X. Sea of X, not into minus L. Of X. Where L. Of X is X, has taken a course in Logic Program for government.

Hey, it's Claire. So my name right here? So we're going to express the statements by a simple English sometimes. So if we look at part eh? T of X Y means that student X likes cuisine. Why? And there is the not symbol. So for Amy, say student um, upto Lawd, Zane does not like Japanese for part B t of ex lying means that student xx cuisine. Why? And we see the existential, which means there exist the end symbol in the universal, Which means every so there exists a student that likes Korean and all students like Mexican for part C we c t of X y, which means that student expects cuisine. Why the existential means there exists and or so there exists. Excuse me. There exists a cuisine that money or a cenote orange A. Johnson likes for part D. T of X y endings. That student expects cuisine. Why we see our excess special quantification, which means there exists the and symbol, the not symbol in the universal, which means every so for every two students, there exists a coup zine such that if the students are not the same student and they do not both, Like the same cuisine. For part e t of X y means that student expects cuisine. Why we see our existential, which is there exists and we see if and only if, and our universal quantification, which is every so there exists two students, such that for every cuisine. The students both like the coup zine for the students. Both do not like the cuisine report F we c t of X y, which means that stint ex likes cuisine. Why and existential means There exists. You have if, and only if and universal, which is every so for every two students there exists a crew zine such that the students both like the coup zine or the students both do not like the cruising.


Similar Solved Questions

5 answers
(10) Use the Gram-Schmidt process to find a orthogonal basis for subspace in R+ spanned by the vectorsX1 =X2 =X3
(10) Use the Gram-Schmidt process to find a orthogonal basis for subspace in R+ spanned by the vectors X1 = X2 = X3...
5 answers
] 11 7 { { 4 L { 1 3i2 0 3 2 ] 7 62 1 8 8 3 8 J 2 22 2 2 4 0 0 G Gi F
] 11 7 { { 4 L { 1 3i2 0 3 2 ] 7 62 1 8 8 3 8 J 2 22 2 2 4 0 0 G Gi F...
5 answers
Exercise Let and sels anld auId be the projections from 4 * B t0 and respectively_ (See Example 11,21.) Show that if B / 0, then Rng(#A) and that if A # 0 then Rng( (Tu)
Exercise Let and sels anld auId be the projections from 4 * B t0 and respectively_ (See Example 11,21.) Show that if B / 0, then Rng(#A) and that if A # 0 then Rng( (Tu)...
5 answers
Question 8What Z value would be used for an 8S% confidence interval? a. 1.751,.442.171.961.60
question 8 What Z value would be used for an 8S% confidence interval? a. 1.75 1,.44 2.17 1.96 1.60...
5 answers
Use differentiation techniques to find the indicated derivatives in the following problems_ds a) Find for S = dt (1+t2)b) Find dy given x=In(t) cos(t) and y=t?(l+sint) dxC) Use logarithmic differentiation to find the derivative of the function x VBx 2 with domain of x > 2 y = (x+l)
Use differentiation techniques to find the indicated derivatives in the following problems_ ds a) Find for S = dt (1+t2) b) Find dy given x=In(t) cos(t) and y=t?(l+sint) dx C) Use logarithmic differentiation to find the derivative of the function x VBx 2 with domain of x > 2 y = (x+l)...
5 answers
A telescope has a focal length of $25 mathrm{ft}$. What must be the focal length of an eyepiece which will magnify a planetary object by 300 diameters?
A telescope has a focal length of $25 mathrm{ft}$. What must be the focal length of an eyepiece which will magnify a planetary object by 300 diameters?...
5 answers
Use exercise (21) to show that $f(z)=1 / z$ maps circles and lines in $C$ onto other circles and lines.
Use exercise (21) to show that $f(z)=1 / z$ maps circles and lines in $C$ onto other circles and lines....
5 answers
10 Quantifiers_ (a) Write the statement using quantifiers and then prove O disprove the statementthere is some member 0f2, where the product For every member of Z of these members is nonnegative:(b) Write the negation of the statement using quantifiers and then prove 0OT disprove the negation ol tle statement_There is some member of N; for every member there is some member of N_ where the product of these members is greater than
10 Quantifiers_ (a) Write the statement using quantifiers and then prove O disprove the statement there is some member 0f2, where the product For every member of Z of these members is nonnegative: (b) Write the negation of the statement using quantifiers and then prove 0OT disprove the negation ol ...
5 answers
For the purposes of constructing modified boxplots as described in Section $3-3$ outtiers are defined as data values that are above $Q_{3}$ by an amount greater than $1.5 imes$ IQR or below $Q_{1}$ by an amount greater than $1.5 imes$ IQR, where IQR is the interquartile range. Using this definition of outliers, find the probability that when a value is randomly selected from a normal distribution, it is an outlier.
For the purposes of constructing modified boxplots as described in Section $3-3$ outtiers are defined as data values that are above $Q_{3}$ by an amount greater than $1.5 \times$ IQR or below $Q_{1}$ by an amount greater than $1.5 \times$ IQR, where IQR is the interquartile range. Using this definit...
5 answers
Fo[-/2 Points]AUFBALG8 4.2.071_ 0/7 Submissions UsedDETAILStriangle has 75" angl and right angle. What is the measure of the third angle?Need Help? WakchlAdditional MaterialseBookShow My Work (Optignal}
fo [-/2 Points] AUFBALG8 4.2.071_ 0/7 Submissions Used DETAILS triangle has 75" angl and right angle. What is the measure of the third angle? Need Help? Wakchl Additional Materials eBook Show My Work (Optignal}...
1 answers
Finding the Determinant of a Matrix $5-22,$ find the determinant of the matrix. $$\left[ \begin{array}{rr}{-3} & {-2} \\ {-6} & {-1}\end{array}\right]$$
Finding the Determinant of a Matrix $5-22,$ find the determinant of the matrix. $$\left[ \begin{array}{rr}{-3} & {-2} \\ {-6} & {-1}\end{array}\right]$$...
5 answers
Q: Define aminoacids and it classification? Reqiurments :i) Minimum words 500 and maximum words 700.ii) With completeheadings.ASAP
Q: Define amino acids and it classification? Reqiurments : i) Minimum words 500 and maximum words 700. ii) With complete headings. ASAP...
5 answers
Outline mechanism for the following reaction: CH3- PPlB
Outline mechanism for the following reaction: CH3- PPlB...
5 answers
Each table of values gives several points that lie on a line: (a) Use any Iwo Of the ordered pairs t0 find the slope of the line. (6) Identify the y-intercept of the line. Use the slope and y-intercept from parts (a) and (b) to write an equation of the line in slope-intercept form: (d) Graph the equation. 61_ 62Extending Skills Solve each problem
Each table of values gives several points that lie on a line: (a) Use any Iwo Of the ordered pairs t0 find the slope of the line. (6) Identify the y-intercept of the line. Use the slope and y-intercept from parts (a) and (b) to write an equation of the line in slope-intercept form: (d) Graph the equ...
5 answers
Prove that for every natural number n,Zoi 1) =n? _ 1Summations don't really work in pure text; so | recommend hand-writing this solution or type-setting using Latex or an equation editor We're being lenient about typing things up, but if E can't tell what the limits of your summation are supposed to be; you will not receive full credit:
Prove that for every natural number n, Zoi 1) =n? _ 1 Summations don't really work in pure text; so | recommend hand-writing this solution or type-setting using Latex or an equation editor We're being lenient about typing things up, but if E can't tell what the limits of your summatio...

-- 0.018819--