Logic Definition and 1000 Threads

  1. C

    B Does Quantum Physics really defy logic?

    I heard a lot of this "Quantum theory defies the human logic, it's totally illogical but it works!" and I'm trying to understand whether this is true or not. I don't mean by logic some mind blowing stuff, like teleportation is possible. I mean the kind of logic that would be difficult or...
  2. chwala

    Logic question on finding age of someone

    Homework Statement Homework EquationsThe Attempt at a Solution the solution according to blog is Neither May nor June is possible because they have unique dates - that means Albert couldn't know for sure that Bernard doesn't know. If Albert had May for example, Bernard might have the number...
  3. H

    Check logic for Watts calculation

    Thanks to anyone kind enough to help check my logic. Using 13 gauge copper wire and a magnet I can generate .05 watt every time the magnet passes the coil (according to the voltmeter). Am I correct in assuming that if the magnet passes the coil 60 times a minute, then (.05 watts X 60rpm X 60...
  4. J

    Digital Logic Help: Understanding Q1+ and Q0+ from a Truth Table

    I cannot figure out where the values from Q1+ and Q0+ are coming from. What truth table are these coming from?? I would greatly appreciate any help. Thank you.
  5. T

    I Prove Logical Equivalence of P->(Q or R)

    From the text it says (P -> Q) or (P -> R) is equivalent to P -> (Q or R) I tried to see if this is true so I tried (P \to Q) \lor (P \to R) \\ (P \lor \neg Q) \lor (P \lor \neg R) \\ P \lor \neg Q \lor \neg R \\ P \lor \neg(Q \land R) \\ P \to (Q \land R) and P \to (Q \lor R) \\ P \lor...
  6. T

    I How Does the Distributive Law Simplify Logical Expressions?

    Im just reading this one example and i am stumped at this one step. (R\to C) \land (S \to C) \\ (\neg R\lor C) \land (\neg S \lor C) \ \ \ \ \ \textrm{by conditional law}\\ (\neg R\land \neg S) \lor C \ \ \ \ \textrm{by distributive law} I don't understand how it went from the second step to...
  7. bapowell

    Insights Scientific Inference and How We Come to Know Stuff. Part 2 - Comments

    bapowell submitted a new PF Insights post Scientific Inference and How We Come to Know Stuff. II. Continue reading the Original PF Insights Post.
  8. atom jana

    Logic puzzle : Smallest number of prisoners required?

    You are the ruler of a medieval empire and you are about to have a celebration tomorrow. The celebration is the most important party you have ever hosted. You've got 1000 bottles of wine you were planning to open for the celebration, but you find out that one of them is poisoned. The poison...
  9. bapowell

    Insights Scientific Inference and How We Come to Know Stuff - Comments

    bapowell submitted a new PF Insights post Scientific Inference and How We Come to Know Stuff Continue reading the Original PF Insights Post.
  10. E

    Logic question (handling inequalities in a BASIC compiler)

    Hey everyone, I have a logic question, though I'm not sure if this might belong in the math forum (probably not :P) Anyway, I'm writing a BASIC compiler for the Motorola 68k processor by reverse engineering a dead project/compiler (with permission from the author as he's abandoned it years...
  11. J

    Engineering ALS logic family circuit calculations

    Homework Statement For the ALS logic circuit, estimate: (a) the current IOL (b) the delay in a 1-to-0 transition at one of the inputs of GATE 1 appearing as an effect at the output of GATE 5. (c) the total power consumed by the circuit in a quiescent state. Homework Equations /data[/B] The...
  12. Q

    Propositional Logic -- expressing in formal logic notataion

    Homework Statement Problem from a discrete structures online open course. I don't have the answers and was quite confused about this unit, so I was hoping to check my work/ clarify a few questions. Problem 5.5. Express each of the following predicates and propositions in formal logic notation...
  13. DavidReishi

    I A logical problem for math whizzes

    We are spying on a train manufacturer’s collection of top-secret futuristic trains to determine some facts about how these high-speed trains are powered. We see from a posted sign that each train is composed of cars all of the same length. We are able to measure the front car of each train...
  14. T

    What is the maximum output current of a logic gate at 5V VCC?

    Hi, I have this logic gate http://www.ti.com/lit/ds/symlink/sn54hc32.pdf I am using 5V as my VCC. In the datasheet it says that the output current at 6V is 5.2mA. My question is, Is that the max current that it can output ?
  15. C

    Transistor Logic Gate : NOT Gate Explanation?

    Hi everyone. I would like to ask about this light sensor using not gate circuit. I use LDR as an input and a LED as an output. I have tried this circuit in Proteus, and it works. When the LDR 'off', LED turns on, and vice versa. But i don't really understand about the working principle of this...
  16. V

    A permutation and combination problem

    .The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is (1) 901 (2) 861 (3) 820 (4) 780 my attempt: for this to be true i know that sum of x and y coordinate should be 41 but i don't know how to proceed.
  17. D

    Understanding Digital Logic Latches: RS, Gated, D Latch Timing Explained

    Homework Statement So we've started digital logic in lectures and don't seem to understand some things about it. I've searched online but nobody seems to have explained some things. RS LATCH GATED LATCH D LATCH TIMING Q1: Does LATCH response(as in truth tables) just mean that nothing...
  18. ChrisVer

    Python Help in logic for amplitude vs frequency

    I am trying to solve the problem 4.8 found http://phys.csuchico.edu/ayars/312/Handouts/comp-phys-python.pdf at pdf's page 115-6 [book's page 107-8]. My code so far is: from mytools import rungekuta4 from pylab import * #set globals G=9.81 MASS=1.0 K=42.0 MU=0.15 A=1. OMEGA=0.01 #set diff...
  19. B

    Fuzzy logic control vs PID [Resume]?

    I have found this topic but I am not allowed to answer. https://www.physicsforums.com/threads/fuzzy-logic-control-vs-pid.667717/ I have the same concern that the fuzzy is basically similar to a proportional control. In the thread I liked above, there is also this link...
  20. B

    I Using symbolic logic to learn calculus

    In the spring of 2001 and the fall of 2001, i took a calculus II class at a university. I failed the class both times, largely due to troubles with sequences and series. In the spring of 2005, i took an Introduction to Philosophy class at a community college. When i was in the Philosophy class...
  21. M

    Logic: proof that [p -> (q ^ r)] <=> [(p ^ -q) -> r]

    I'm preparing for college on my own. I need to proof that: [p -> (q v r)] and [(p ^ -q) -> r] are logically equivalent. with 1) v "or" 2) ^ "and" 3) -q "negation of q" I did this using truth tables and this perfectly shows that those 2 statements are logically equivalent. Can someone confirm...
  22. pjgrah01

    Can b be an integer if it does not divide k for every natural number k?

    Homework Statement Prove by contradiction that if b is an integer such that b does not divide k for every natural number k, then b=0. Homework EquationsThe Attempt at a Solution I know that proof by contradiction begins by assuming the false statement: If b is an integer such that b does not...
  23. SrVishi

    Other Proof Tips for Math Majors: Logic & Techniques for Real Analysis

    Every math major eventually learns logic and standard proof techniques. For example, to show that a rigorous statement P implies statement Q, we suppose the statement P is true and use that to show Q is true. This, along with the other general proof techniques are very broad. A math major would...
  24. weirdlycool

    How to improve critical thinking and awareness

    I'm studying physics, and I've covered calculus and general physics. My problem is: -My critical thinking is really not good. -Whenever someone is asking me about say, object A, I would answer something that is not related to object A (I'm not aware of it until that person tell me that I...
  25. STEMucator

    Implementing Logic Using Conventional CMOS Logic

    Homework Statement This question has several parts, and I'm confused about some of them. Consider ##Z = \overline{(A + B \bar{C})D + E \bar{F}}##. Assume primary and inverted inputs are available. A) Implement the function in conventional CMOS logic style such that only 4 transistors are...
  26. M

    What are some good books to study mathematical logic?

    I am a CS student and have a very poor understanding of this field of mathematics. I don't properly know the difference in between symbolic logic, first order logic, propositional calculus, model theory and lambda calculus. But, I want to start studying logic formally from the very basic. I'd...
  27. B

    News What is Sanders' Logic of "Breaking Up the Banks"?

    Why does Bernie Sanders want to break up the banks? He's talked baout reinstating Glass-Steagall, but why was repealing this law bad in the first place?
  28. P

    Anybody know where I can find more logic problems?

    I would like to practice logic thinking more. The sort of problems I'm talking about are like this: Define two constraints, which relates the variables x and y to v such that if either x or y is 1 then v is forced to be 1. Where the answer is then: x ≤ v y ≤ v Does anybody know where I can...
  29. C

    Does every natural number n being even and prime imply that there is a unique n?

    Homework Statement Express the following English sentence as a symbolic statement. Do not use the there exist symbol “There is a unique natural number n which is both even and prime.” We also have properties like let P(n) be the property that n is prime, L(n, m) the relation that n < m, and...
  30. R

    How to express this statement using quantifiers

    There is a real number between any other two real numbers. I have two ways of writing it For all y and z there is some x such that y < x < z OR There is such an x such that for all y and z, y < x < z I'm confused as to which one is correct.
  31. xwolfhunter

    The Logic of the Principia Mathematica

    I had posted a question in the mathematics forum about some conceptual issues I was encountering while reading the book, but now I realize as I read on that I may need a dedicated thread for asking questions about the book. So I am asking two things in this thread. Firstly, I am asking someone...
  32. D

    Shannon entropy of logic gate output.

    Homework Statement A particular logic gate takes two binary inputs A and B and has two binary outputs A' and B'. I won't reproduce the truth table. Suffice to say every combination of A and B is given. The output is produced by A' = \text{NOT} \ A and B' = \text{NOT} \ B . The input has...
  33. J

    Can Modus Ponens and Substitution Solve This Complex Logic Problem?

    Using only modus ponens or substitution. Prove: q -> r -> [ [ p -> q ] -> [ p -> r ] ] using the three axioms: 1) p -> [ q -> p ] 2) s -> [ p-> q ] -> [ [s -> p] -> [ s -> q ] ] 3) p -> f -> f -> p where the symbol f is "false." I am having the hardest time trying to solve this proof, any...
  34. pabilbado

    I am looking for interesting physics/math or logic problems

    Well, the tittle is self-explanatory. If anyone has an interesting problem or puzzle. I will be grateful if you could post it.
  35. Nahian

    Design Even Number Generator with 4 Bit Counter

    how can i design an even number generator with a 4 bit counter without using any flip-flop , Using only 4 bit counter?
  36. Math Amateur

    MHB Propositional Logic - Derivations and Trees - Chiswell and Hodges, Section 3.4

    I am reading the book Mathematical Logic by Ian Chiswell and Wilfred Hodges ... and am currently focused on Chapter 3: Propositional Logic and, in particular, Section 3.4: Propositional Natural Deduction ... I need help with understanding an aspect of Example 3.4.3 which reads as...
  37. Nantes

    Confused about the logic of a Special Relativity problem

    Hi guys! I'm a pharmacist who has been trying to understand how time dilation and Lorentz contraction and etc. work, out of pure curiosity. I have been reading a course by Michael Fowler, which I link the 4th section of: http://galileoandeinstein.physics.virginia.edu/lectures/sreltwins.html In...
  38. O

    Why is Block B not experiencing a normal force in this static friction problem?

    Homework Statement How come for the following image when I assume block B slips up, block A does not move. The free body diagram at block B does not have a normal from the ground. This is a static friction problem. [/B]Homework Equations No relevant equations all theory[/B] The Attempt at a...
  39. mmarkov

    Markov chains: period of a state

    Hello, I am trying to understand the intuition of the definition of the period of a state in a Markov chain. Say for example we can go from state i to state i in 3,5,7,9,11... and so on steps. The gcd here is one. So is this aperiodic state or one with periodicity of 2. Thanks
  40. O

    Digital logic excitation equation from state diagram?

    Homework Statement Design serial transmitter circuit take 8-bit word in parallel as input, when an input control signal (SEND) goes high, and serially outputs the word (i.e., one bit during each clock cycle) to a single transmission line. Transmission of a word begins with the least...
  41. S

    MHB Understanding the Logic of Quantified Statements

    ∃x∀y∀z[(F(x, y)∧G(x,z)) → H(y,z)]
  42. T

    Logic outputs to logic inputs of devices with different Vcc

    Hello engineers! :)I have a question bothering me i quite can't figure out. I have a Priority encoder: http://www.digikey.com/product-search/en?vendor=0&keywords=ls148d&stock=1 datasheet: http://www.ti.com/lit/ds/symlink/sn74ls148.pdfAnd this RF-Switch...
  43. Math Amateur

    Mathematica Mathematical Logic - Dandah symbol for discharging assumptions ....

    I am reading the book Mathematical Logic by Ian Chiswell and Wilfred Hodges (C&H) ... and am currently focused on Chapter 2: Informal Natural Deduction ... I need help with what C&H call the 'dandah' or more specifically symbols with a dandah through them ... The relevant text in C&H...
  44. Math Amateur

    Basic Mathematical Logic - Understanding Sequents

    I am reading the book Mathematical Logic by Ian Chiswell and Wilfred Hodges ... and am currently focused on Chapter 2: Informal Natural Deduction ... I need help with interpreting the notation of an aspect of Exercise 2.1.3 which reads as follows:In the above text after the text: "Possible...
  45. M

    Unusual Math Formulas on Blackboard: Understanding Pi and Lambda

    Someone has spray-painted (no idea why) these formulas on the blackboard. I assume they are from the math class that is held before our physics class. I'm guessing it to be calculus or mathematical logic but I don't know. What I'm reading is that pi equals lambda and therefore f equals 1. Does...
  46. moenste

    Logic gates and truth table problems

    Homework Statement 2. The attempt at a solution Circuit: A B G D E F C 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0Answer: Is (a) right? And any ideas what could be (b)?
  47. the dr.

    Automotive What's the deal with sprint car chassis and Jacobs ladders?

    I haven't posted here in forever, BUT I gained lots of valuable knowledge a couple years ago from some ofthe guys here gaining us our 5th and 6th track championships, now after stepping out of racing for a while I am coming back, and looking at sprint cars and the setup of these cars, I have...
  48. F

    Logic behind normal line in expressing plane

    why do we consider normal line in expressing a plane,say in ##R^3## ,of the form ## ax + by + cz = d ##? What is the logic behind this normal line selection? Plz provide intuitive explanations.Thanks
  49. O

    Understanding State Machines: Converting Logic Problems into K Maps

    So I was reading my book and I came across a table, I don't understand how they converted the problem into a table. They're designing a sequential logic machine and it looks like they made a K map of something, but I don't know what they used. Can anyone explain how the book did this...
  50. C

    C/C++ Create a C++ logic calculator (T/F) using a recursive descent parser

    I'm supposed to make a simple logic calculator based on the following requirements: 1. The user can use either capital or lower case 'T' and 'F' in their expression. 2. Use either a ';' or '=' to indicate the expression should be evaluated immediately. 3. The program should not exit when it...
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