Logic Definition and 1000 Threads

I'm trying to pick my last elective. My others are PDEs. What's a Logic I course like? I'm considering this one course/professor, and he has good reviews on ratemyprofessor for this course.

Honestly, I have no clue how to answer this question. A professor sent this out in a email, but I don't have a class with her so I don't think its homework. Care to throw some ideas? Is it really simple...? Apparently its a logic question, but it seems illogical to me. "A mathematician is...

I cannot find any sort of comprehensive list of top schools in mathematical logic. It seems that U Wisconsin should be good, though I don't know if that is the case now that Barwise has passed. UC Berkeley is clearly a good school for logic. All of the places that show up are in Europe. I would...

I'm trying to find a good book on Symbolic, Pure, Mathematical Logic. Anyone know such a book? I'd prefer it have no mention to number theory, set theory, etc. since I have books on those already and I find that they detract value from the books since it's just less time spent on the main topics.

I am more precisely looking for a book on mathematical logic which presupposes only minimal exposure to set theory. Preferably something which includes an introductory chapter delineating relevant set theoretic principals. I am familiar with only basic set theory. More precisely this means...

I am looking to make a career shift. I am looking for a career track with the following characteristics: 1) Heavy use (and need to learn) advanced mathematical concepts (especially symbolic in nature). I want to be working with equations and logic in a symbolic manner on a daily basis. 2) A...

Hey everyone, Thanks for the help in advance. I am having trouble deriving a tautology from no premises. I am trying to derive: (X <-> Y) v (X <-> -Y) "-" meaning not. However, I keep getting stuck. It seems very similar to the Law of the Excluded Middle but I am having trouble...

Show \sum_1^\infty\frac{x^n}{1+x^n} converges when x is in [0,1) \sum_1^\infty\frac{x^n}{1+x^n} = \sum_1^\infty\frac{1}{1+x^n} * x^n <= \sum_1^\infty\frac{1}{1} * x^n = \sum_1^\infty x^n The last sum is g-series, converges since r = x < 1

Homework Statement Here is an image of the problem (Write the circuit in min SOP form.) http://img211.imageshack.us/my.php?image=ddtl0.jpg Homework Equations The Attempt at a Solution I've looked at it and gone over notes but I don't get it. If you would like I can scan my...

The question is: Show that the following derivability claim holds in SD. (I'll use ">" to stand in for conditional.) {(A > F) & (F > D), ((M v H) v C) > A, ~(M v H) & C} entails D I'm only allowed to use the basic derivation rules of SD: Reiteration (R) Conjunction Intro. (&I) and...

Do quantum logic gates perform measurements? (collapse the wavefunction) For example: If I apply a cNOT gate to a pair of cubits with wavefunction 1/\sqrt{2} |10> + 1/\sqrt{2} |00> what would I expect as the result? 1/\sqrt{2} |11> + 1/\sqrt{2} |00> ? or 1|11> or 1|00> or...

The question is here: http://dl.getdropbox.com/u/175564/logic.png The correct answer is D. My attempt to the problem: Let the beginnings of the sentences be A. In a, A is B -/-> C is D. In b, A is B -/-> C is D. These first two do not make sense. in c and d, the word "only" suggests...

I'm looking for a book on Set Theory, currently. I've found one by Halmos which looks good, but I'd like some input on it.

Was it Plato or Aristotle? I don't need to be told that logic was an evolution that was merely advanced by these two Greeks. But who really gave us the rules of the game? I've read some of Plato. Not much, but from his dialogues I gather more ethics and "what does what mean" sort of...

Homework Statement What is Hennessy-Milner logic? I need references asap. Wikipedia is empty. Homework Equations The Attempt at a Solution

Must a valid rule of inference always lead to a true conclusion?

I have recently started my second year at Uni and one of the areas I am studying is Digital Logic Fundamentals. However due to a mixup with my timetable I missed the first few weeks of the course. I am trying to catch up but have become stuck on part of the course that wasn't explained well in...

I have read, that properties of sets such as that every subset has supremum or that set is well ordered cannot be expressed in the language of first-order logic. Well, when I tried to write these things, I seemed to write them in first order language, which really bothers me. So please, tell me...

I want to simplfy M'(A'B'C+ABC')+M(AB'C'+A'BC) to as simple a circuit as possible. I don't know the boolean algebra to simplfy the ABC terms. Help please, Speck

Easy to understand problem (please read; I promise you'll understand): I've created my own financial spreadsheet. One of its functions is to allow me to automatically determine how much money I need to save every month m in order to accumulate x dollars in y amount of time. Normally...

http://hyperphysics.phy-astr.gsu.edu/hbase/electronic/diodgate.html Could someone please explain to me why these circuit arrangements act as AND/OR gates, can't find a decent explanation in any of my books

I have a question on my assignment that I'm having a great deal of trouble with. In this question we will consider a simplified model of the “People you may know” application in Facebook. The basic idea is that if two people have a common friend, then they may know each other. We will also...

For fun this semester I decided to take a probability class and doing a lot of the random problems from the book to learn the material. I am finding that sometimes I am over complicating some of these problems. Here is a problem I came across. When I punched in the numbers it didn't seemed...

http://img372.imageshack.us/img372/2057/timezy9.jpg See image above. The answer is D - 88, however I can only find 84! Please can someone let me know what I am missing: 20-7= 13 13*6 + 1 = 79 = total upto 2030 + 2045 bus = 80 + 4 buses (two in 21st hr, two in 22nd hr) = 84 Thanks

The cross product equals to the area of the parallelogram defined by the two vectors (at least in R^3). So if working on vectors which units v_1 = (1,2,3)m v_2 = (3,4,5)m it correctly returns the according area. However, if used to get a vector perpendicular to each of the vectors the...

Hi, I am a french Student in pures sciences. so its a bit hard for me to express myself in english, but I will do my best. Homework Statement Three hundred (300) persons are placed in thirty (3) rows and ten (10) columns. We choose the tallest person of each ROW. Then, we take the...

Homework Statement Design a logic circuit to simulate the circuitry that might exist in a vending machine. the vending machine accepts inputs of nickels, dimes, and quarters but only one of each. It dispenses water and beer. Use three logic switches to simulate the coin detectors one each for...

Homework Statement Find the supremum and infimum of the following sets and test whether these sets have a maximum or minimum: (a) { |x|/(1+|x|) s.t. x is in R} (b) { x/ (1+x) s.t. x > -1}  Homework Equations Order Axioms and Field Axioms for the real numbers; infimum and...

Is the statement -1<1/0<1 decidable using the ordered field/real number axioms and first order logic? I have tried to prove that the statement is either true or false but have had no success since the axioms and theorems only make statements about objects that exist and do not give any clear way...

Hi! I'm new to this forum, just joined a couple of hours ago. I am an O-Level student and I am currently on revision leave. I would like some explanations on the basic working principle of logic gates and their uses in special circuits. The clearer the explanation the better and some links to...

How many people are living in India? With the help of following data can you find How many people were listed as living in India and give logic also ? . The population of some countries is calculated based upon some logic and listed here ( It has no link with the facts) :- . USA...

could anybody suggest me a good learning material for 'digital logic circuits'

Ok well I got a set of 15 logic-ish problems, never really been very good at this stuff. I got about 7 of them fine, but I'll put them up just to check. ------- Q1 999. 998. 997. 996 729. 648. 567. 486 126. 192. 210. 192 12. 18. ? 18 Which Of the following is the missing...

Is there any PhD Program in US on logic where I can apply as a student with a computer science background and further combine my interest in logic, philosophy, math and computer science? For now, I only know a program at CMU, which is PhD Program in Pure and Applied Logic.

All but two of my cars are Fords, all but two of my cars are Toyotas and all but two of my cars are Hondas. How many cars do I have. The obvious answer is three. I'm arguing with some folks that are claiming two is an acceptable answer and they are using the rationale that it is fine to...

Logic and causality? Hi, what implications does quantum physics have on the realm of causality? For instance, due to the wave-particle duality, is it reasonable to say that the universe can be explained through causality? How does this change the concept of 'logic'? Intuitively, we believe...

Can anybody help me with the following arguments: 1) If 2+2=5 then 2+3=6 but,2+2=/=5 hence 2+3=/=6 2) If 2+2=4 then 2+3=6 but, 2+2=4 hence 2+3=6 3) if 2+2=5 then 2+3=6 but 2+3=/=6 hence 2+2=/=5 4) if 2+2=4 then 2+3=6 but, 2+3=/=6 hence 2+2=/=4 Which of the above are valid and...

Would taking an intro to logic course help me prepare for the abstract proof writing skills that I'll need in upper division math?

Is my logic correct? -- L. Algebra question Homework Statement \left[ \begin{array}{cccc} 1 & 2 & -3 & 2 \\ -1 & -2 & b & 3 \\ 0 & 0 & c & 2 \end{array} \right] (1) For what values b and c is the system in the augmented matrix above consistent? (2) For what values b and c does the system in...

Does the uncertainty principle contradict the idea that an object can be at rest relative to an observer? For example, in physics class we examined an electron in a box, and we assumed the walls of the box are stationary relative to the observer. But the uncertainty principle says delta p...

Logic of E-H action, ricci scalar, cosmological constant?? This crazy thread is mean to stimulate some reflections on the logic of Einsteins Equations. It would be interesting if those who have any ideas can join. Maybe it could be enlightning? The common way of thinking about GR is that we...

Not sure where to post this subject, so if it is in the wrong location please forgive. 1. Restore the parentheses to these abbreviated propositional forms? Q \wedge \backsim S \vee \backsim ( \backsim P \wedge Q ) I got this, but am not sure if it is correct. [Q \wedge (\backsim S)]...

I finally started to read Smolin's Three roads to Quantum Gravity and only read the first two chapters so far. It doesn't contain any math, but it does seem to present a particular choice of reasoning on howto make progress on the matter, which I think is interesting in it's own because it may...

i want application on fuzzy logic, from internet easy to understand

Does most of mathematics use 2nd order logic? If so would studying the foundations of mathematics involve mostly using 2nd order logic?

hello i want help me because i have exam

I don't really know if this is an acceptable topic to be placing in a "Sciences" homework help forum. It's a problem I'm having in my Symbolic Logic class. Homework Statement Every sentence has a truth-table which can describe it, does every truth table have a sentence? We're dealing...

Homework Statement given a number of four ciphers ABCD and another four cipher number CDAB get the values of A,B,C,D if we know that 2x (ABCD)=CDAB-5 Homework Equations 2X (ABCD)=CDAB-5 The Attempt at a Solution no idea.. i have try by brute force but got no results only...

Homework Statement Is the daily movement of a student from home to school and back simple harmonic motion? Homework Equations The Attempt at a Solution I don't think it is. This type of movement is linear. It involves distance, speed and so on. It does not follow a sinusoidal...

I'm battling with first order predicate logic (no identity, no extensions) and currently esp. inference using the so called "natural reasoning" rules for inference. Now, the textbook we use, is very ambiguously defined, even I have spotted several 'errors' in it, the lecturer even more. This...