Assume the following hypotheses (1) "If it does not rain or if it is not foggy,...
1. (2 pts) Find the argument form for the following argument and determine whether it is valid. Can we conclude that the conclusion is true if the premises are true? If George does not have eight legs, then he is not a spider. George is a spider. .:. George has eight legs. 2. (2 pts) What rules of inference are used in this famous argument? "All men are mortal. Socrates is a man. Therefore, Socrates is mortal." 3. (2 pts)...
6. Construct an argument using rules of inference to show that the hypotheses "Randy works hard," "If Randy works hard, then he is a dull boy," and "If Randy is a dull boy, then he will not get the job" imply the conclusion "Randy will not get the job." 7. Show that the premises "If you send me an email message, then I will finish writing the program," "lf you do not send me an email message, then I will...
3. Show that the following argument with hypotheses on lines 1-3 and conclusion on line c is valid by supplementing steps using the rules of inference (Rosen, page 72) and logical equivalences (Rosen, pages 27, 28). Clearly label each step. 1 pv (r 18) Premise 2 p → Premise Premise 39 Conclusion
01 03 are word problems given as a sequence of hypotheses/ premises ending with "Therefore conclusion". Show that each word problem is a valid argument Use rules of inference to show steps and reasons in the proof. 1) If I take a bus or subway then I'll be late for my appointment. If I take a taxi then I will be on time for my appointment and I will be broke. If I don't take the subway and don't take...
Write a proof of each of these theorems in English prose. 1) Hypotheses: If the Pope is here, then the Queen is here. If the Queen is here, then the Registrar is here. Conclusion: If the Pope is here, then the Registrar is here. 2) THEOREM. Assume: (a) If the Pope is here, then the Registrar is here. (b) If the Queen is here, then the Spy is here. (c) The Pope and the Queen are both here. Then the...
Use the data from problem #1. Assume a probability normal probability plot suggest the data could come from a population that is normally distributed. A boxplot does not show outliers. Does the sample evidence suggest the cost of repairs to exceed $1200? (2 point) What type of test should we use? а. sample -test for the b. (4 points) Write the hypotheses and specify the type of test (tailing). Use appropriate notation for the hypotheses. Hypotheses: Tailing: Calculate (formula/values) the...
1. Assume that a model that is designed to predict does so accurately. Does this confirm the model? If so, why? If not, why not? 2. Using an indifference map and income constraints, graphically illustrate and interpret a compensated price change. 3. Define and interpret the following elasticity coefficients: (1) Own-price elasticity = - 1.2; (2) Cross-price elasticity = + 1.0; (3) Real Income elasticity = - 1.0.
(1) Are the following propositions? (e) The sun is shining. (b) It rained in Austin, TX, on October 30, 1999. (c) Come to class! (d) Is it raining? (2) Write each sentence in symbols using P- It is hot. and Q- It is sunny (a) It is sunny and hot. (b) It is not hot but it is sunny. (c) It is neither hot nor sunny (3) If P - Today it is raining, and Q-Today it is snowing. (a)...
For this problem assume that the stars in the Milky Way are in circular orbits in the plane of the galaxy with speedy(r), where r measures the distance from the galactic center. 1. The inner portions of the Milky Way rotate as a solid body, meaning that the angular velocity ω is constant. ωΞω0 What does this imply about how the orbital (rotational) velocity as a function of distance from the galactic cen Using Newton's laws of motion (balance centripetal...
$1.6: LOGICAL INFERENCES 5. For each of the following, write each premise using propositional variables, propositional functions, logical operators, and quantifiers. Then, determine what conclusion(s) can be drawn, and write a valid argument for your conclusion(s). Explicitly state the premise or rule of inference used in each step. Finally, translate your conclusion(s) back into English. a. (4 pts) Premises: (1) All teenagers have an Instagram account. (2) Heather has an Instagram account. (3) Bobby does not have an Instagram account...