Given the universe U= {w, W2, W3} where: w is the world in which Sophia is...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Given the universe U= {w, W2, W3} where: w is the world in which Sophia is a mathematician, Keith is a phonologist, and Lotus is a syntactician w is the world in which Sophia and Keith are pragmaticists and Lotus is i a syntactician w is the world in which Sophia is a sociolinguist, Lotus is a physicist, and Keith is a phonologist R is the relation between worlds in which if Sophia is linguist in the first one, then both Sophia and Lotus are linguists in the second one: R = { , < W, W >, < W, W3 >, < W, W >, < W3, W >}. i. Provide the truth conditions of the following propositions, i.e. the set of worlds in which the propositions are true (skill 2.1): a. There are at least three specialisations in this world. S = b. Sophia and Keith have the same specialisation. S = c. Sophia is a linguist. S3 = d. Sophia is a linguist or a mathematician. S4= ii. Perform the following operations on sets (skill 6.1): a. S S = b. S US3 = c. S U 82 d. S-S = e. S S = f. S = S = S = iii. Evaluate the following claims about sets as being true or false, and justify your answer (skill 6.2): a. {S} is a member of {S}. b. {S} is a subset of S. c. S is a proper subset of S. d. S is a subset of {S}. iv. Provide the property notation of the following set (skill 6.4): S5 = {W2, W3} v. Provide the list notation of the following set (skill 6.5): S6= {w | Lotus is a syntactician in wi} vii. Provide the characteristic functions of S3 and of R (shnfinkelized right- to-left) (skill 6.6). viii. Provide (list the elements of) the characteristic set of the following func- tions (the second is shnfinkelized right-to-left) (skill 6.7): W1 fSchar = W20 W30 fQchar = W10 Wi-> W1 W31 W0 W0 W30 W0 W3 W21 W31 W Given the universe U= {w, W2, W3} where: w is the world in which Sophia is a mathematician, Keith is a phonologist, and Lotus is a syntactician w is the world in which Sophia and Keith are pragmaticists and Lotus is i a syntactician w is the world in which Sophia is a sociolinguist, Lotus is a physicist, and Keith is a phonologist R is the relation between worlds in which if Sophia is linguist in the first one, then both Sophia and Lotus are linguists in the second one: R = { , < W, W >, < W, W3 >, < W, W >, < W3, W >}. i. Provide the truth conditions of the following propositions, i.e. the set of worlds in which the propositions are true (skill 2.1): a. There are at least three specialisations in this world. S = b. Sophia and Keith have the same specialisation. S = c. Sophia is a linguist. S3 = d. Sophia is a linguist or a mathematician. S4= ii. Perform the following operations on sets (skill 6.1): a. S S = b. S US3 = c. S U 82 d. S-S = e. S S = f. S = S = S = iii. Evaluate the following claims about sets as being true or false, and justify your answer (skill 6.2): a. {S} is a member of {S}. b. {S} is a subset of S. c. S is a proper subset of S. d. S is a subset of {S}. iv. Provide the property notation of the following set (skill 6.4): S5 = {W2, W3} v. Provide the list notation of the following set (skill 6.5): S6= {w | Lotus is a syntactician in wi} vii. Provide the characteristic functions of S3 and of R (shnfinkelized right- to-left) (skill 6.6). viii. Provide (list the elements of) the characteristic set of the following func- tions (the second is shnfinkelized right-to-left) (skill 6.7): W1 fSchar = W20 W30 fQchar = W10 Wi-> W1 W31 W0 W0 W30 W0 W3 W21 W31 W
Expert Answer:
Answer rating: 100% (QA)
i Truth conditions a There are at least three specializations in this world S w wy ws b Sophia and ... View the full answer
Related Book For
Probability And Statistics
ISBN: 9780321500465
4th Edition
Authors: Morris H. DeGroot, Mark J. Schervish
Posted Date:
Students also viewed these mathematics questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
In the Spence model of education signaling we studied, what was inefficient about the equilibria? Why did the presence of asymmetric information (the fact that firms do not know the workers'...
-
They are considering trading their car in for a newer used vehicle so that Harry can have dependable transportation for commuting to work. The couple still owes $5,130 to the credit union for their...
-
A step-up transformer is designed to have an output voltage of 2 200 V (rms) when the primary is connected across a 110-V (rms) source. (a) If the primary winding has 80 turns, how many turns are...
-
Where does the qualified business income (QBI) deduction fit into the individual income tax formula and what type of deduction is it?
-
How does a system go 'out of control'? Analyse three systems with which you are familiar, including at least one social system (i.e., involving several people) and one business system, in terms of...
-
Polly Esther Dress Shops Inc. can open a new store that will do an annual sales volume of $837,900. It will turn over its assets 1.9 times per year. The profit margin on sales will be 8 percent. What...
-
.. Which is the best name for the quadrilateral with vertices at (2, 2), (5,-2), (1,-5), and (-2, -1)? A parallelogram C rhombus B rectangle D square
-
Using lab 7 with a three-day lead time (all original values), we will analyze six different scenarios to determine which would be the best scenario based on the total cost. Scenario A - Min is 3,500...
-
A particle moves along a straight line and its position at time I is given by s(t)=2r-182 +48 where s is measured in feet and t in seconds. a) Find the velocity (in ft/sec) of the particle at time /...
-
A stone is thrown horizontally at 28.0 m/s from the edge of a cliff. The stone lands 46.0 m from the base of the cliff. Determine the time the ball was in the air.
-
Axetem, Inc. wants to explore the possibility of establishing a factory and a customer service center in a developing nation to take advantage of a less expensive labor force. The first step in a...
-
Explain what is the name of the processes and structures, implemented by the board, to oversee the activities of the organization in pursuit of organizational objectives?
-
Kitty is paid $1200 weekly, also receives the following in addition to her regular salary each pay: a group term life insurance non-cash taxable benefit of $15 and a taxable cash car allowance of...
-
An experimental rocket sled accelerates from 12.0 m/s to 280 m/s in 4.70 seconds. How far did it travel in this time?
-
Now, you like to attempt to make some profit for your company by speculating in the foreign currency markets. You expect that the Mexican peso will appreciate against the dollar from its spot rate of...
-
Consider the setup in Problem 16. Show that the relative speed of the ball and the point of contact on the stick is the same before and immediately after the collision. (This result is analogous to...
-
Suppose that a point (X, Y) is chosen at random from the circle S defined as follows: S = {(x, y): x2 + y2 1}. a. Determine the joint p.d.f. of X and Y, the marginal p.d.f. of X, and the marginal...
-
Consider again the Markov chain described in Exercise 27. In Exercise 27 Three boys A, B, and C are playing table tennis. In each game, two of the boys play against each other and the third boy does...
-
Suppose that a Markov chain has four states 1, 2, 3, 4 and stationary transition probabilities as specified by the following transition matrix: a. If the chain is in state 3 at a given time n, what...
-
Information contained in a profit and loss account and a balance sheet prepared under accrual accounting concepts is factual and objective. Discuss.
-
Jane Parker is going to set up a new business in Bruges on 1 January 20X1. She estimates that her first six months in business will be as follows: (i) She will put 150,000 into the firm on 1 January...
-
Explain the revenue recognition principle and discuss the effect of alternative treatments on the reported results of a company.
Study smarter with the SolutionInn App