First Assignment, September 2015 1 –

First Assignment, September 2015 1PHIL 210: FIRST ASSIGNMENT, SEPTEMBER 2015Distributed by MyCourses: Wednesday, 3oth September, 2015Due IN CLASS: Wednesday, 7th October, 2015Value: 12.5%Instructions There are 100 points, worth 12.5% of your final mark; the points available per question aregiven following the question number. Please WRITE CLEARLY, and make sure you check your answers as bestyou can. (It would be wise to write in pencil, so that mistakes can be erased, thus avoiding confusion both foryou and for us.) When explanations are called for, keep them concise. Don’t forget to leave sufficient space forcomments and corrections. DO NOT USE COVER PAGES OF YOUR OWN, NOR ANY CARDBOARD OR PLASTICCOVERS: Following the assignment itself is OUR OWN cover sheet; please fill this out and STAPLE the pagestogether with this cover page on top. Don’t forget to fill in your name, McGill ID, and your TA’s name as well.Please also consult the LATE POLICY outlined on the Course Description. Last, but not least, PLEASE MAKE(AND KEEP) A COPY OF YOUR ASSIGNMENT SHEET: with close to 300 students, we will have to deal withsomething approximating 1000 sheets of paper, and some pages inevitably get misplaced.NOTE. It should be remembered that the Assignments and Mid-Term Exam are not just assessment tests, but . NB.have a pedagogical function, in that they’re designed to push you to look into things which you might notalready have looked at sufficiently closely. You may discuss the questions with your colleagues, but be sure tocompose the answers yourselves, for two reasons: first, because it is the honest thing to do, and the rules ofacademic integrity require you to do so; second, because otherwise you cannot be sure you actually understandthe answers.1. (25) Questions about FOL languages.(10) (a) Suppose we have an FOL with names/constants a, b, c,d, 6, function symbolsf (x), g(x),h(x, y), predicate symbols: P(x), Q(x),R (x, y),x = y, and the three connectivesfl, A, V (and where ‘79 is used as shorthand for the negation of an identity. For each ofthe following, indicate whether they are simple terms or complex terms or atomic sen-tences or non-atomic sentences, and explain why, pointing out all the reasons why theyfail to be so, if indeed they do. (State also whether there are the right number of brackets.If a bracket is missing, the expression is not properly formed.)1. aV -IP(b) 7. f(g(c)) 75 d2- P(h(a,h(g(b)76))) 8, Ana) A Q(c)3- R(g(a),h(c,d)) N9 75 f(h(d,e))9- Qo9) V R((Q(C) AR(aJa» V (PU?) V4. c R(b,a)))5- CW) 10. P(z) = Q(c)6- g(f(h(f(a),g(b))))(5) (b) Do question 1.17 from p. 36 of the textbook.(5) (c) Do question 1.20 from p. 39 of the textbook.(5) ((1) Do question 1.21 from p. 39 of the textbook.
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