Logic Definition and 1000 Threads

A Heater and a thermometer with four sensors: a, b, c, d (input variables) ((a = highest temperature to d = lowest temperature)) Particular sensors indicate logical 1, if temperature is above level Ta, Tb, Tc , Td. Design a circuit for three switches: Sw1, Sw2 and Sw3, Sw4 (outputs) so that...

I just bought a book that teaches you how to solve the logic games found in the LSAT (Law School Admission Test). Just for clarity, I am not planning to take the LSAT, I was just curious because I like logic games. I'm through about 1/4 of the book, and it's quite interesting indeed. However...

Godels Incompleteness Theorem states that for any formal system with finitely recursive axioms we can construct a Godel sentence G that is unprovable within that system but is none the less true. Does this still apply to formal systems which, instead of creating Godel numbers for arithmetical...

look at this phrase : 'il existe un entier multiple de tous les autres' : there is an integer multiple of all other 'tout réel posséde une racine carrée dans IR ':any real has a square root in IR 'tout les réels ne sont pas des quotients d'entiers': any real (any actual) are not integer...

So, I'm having some trouble with differentiating between inductive and deductive reasoning. I understand the basic principle—inductive is going from specific to general, and deductive is going from general to specific—but I don't know if I'm right when I apply my understanding to actual...

So, I know that P ⊃ Q is a true statement even if P is false as long as Q is true. However, I don't understand why that is, or how that is logically sound. Is it because I'm stuck in thinking of these types of statements as "If P, then Q," and they are not supposed to be thought of that way? How...

If the binary operation of addition is theoretically connected with logic operation XOR, and if the binary operation of multiplication is theoretically connected with logic operation AND, so, the logic operation OR is connected with what binary operation? Exist some relationship? Another...

Why in first order logic theories are not possible a demonstration with infinite steps?

Homework Statement Asked at a press conference whether the new signing, Petermass, would be playing in the big match on Saturday, the Manager replied: “Only if Fredericks isn’t fit.” Three of the journalists present noted the announcement as follows: Jed wrote: “If Fredericks is fit Petermass...

Hello, I'm currently studying a course in digital logic. The course is included in my IT program. And I have not taken a course in electronics yet; I will later. My question basically is: what is the output of a logic gate given that one input is neither connected to a high voltage nor...

I haven't known about a law that says so. Step 1: using two numbers in any format: binary, octa, hexa, do an AND operation. Step 2: Perform OR operation on the same numbers. Step 3: Add the results of step 1 and 2 numerically. The result comes out to be the same as the sum of original numbers.

I am a High school student, I have read about Logic gates but when it comes to practical use I am confused. I am building a small project where I want to use OR and AND gate, but I don't know In which form they are available in the market, how to connect them on breadboard and how to power them...

Hello world! I'm busy working through Halliday/Resnick Fundamentals of Physics chapter 1 and I'm having some difficulty with this particular question. I'll do my best to explain my reasoning and attempt at the problem 1. Homework Statement The problem: Three different clocks A, B and C run at...

Hey! :o Could you suggest a book of logic that contains definitions, like the definition of a language, of an (positive) existential formula, etc?

Homework Statement If you have a 52card deck and split it evenly to 4 people (a,b,c,d) then what is the probability that persons a and b have 7 spades and person c has 3 spades. Homework Equations P(A) = |A|/|S| The Attempt at a Solution I divided up the decks 4 ways. So Persons a and b...

I feel like I almost understand the solution I've come up with, but a step in the logic is missing. I'll post the question and my solution in LaTeX form. Paraphrasing of text question below in LaTeX. Text question can be seen in its entirety via this imgur link: http://i.imgur.com/41fvDRN.jpg...

Maybe you know that that problem was about 3 gods. 1 tells the truth, other always lie, and the last god gives a random answer. The gods can only answer a yes/no question. Can you tell what god lies, tell the truth or give a random answer with only 2 And ONLY 2 questions? Harder than it was, of...

Ok so I took partial fraction decomposition in Calc II, and now I'm taking it again in Differential Equations course. The problem is that I don't really understand what I'm doing. I understand the procedure when having simple real roots, for example 2x+1/(x+1)(x+2), it becomes A/(x+1) + B/(x+2)...

<< Mentor Note -- Moved from the technical math forums, so no HH Template is shown >> I am currently working through a Finite math book Intro to finite math: second Edition Kemeny, Snell, and Thompson. One of the exercises wants me to construct a truth table for the following: ~(p|q)...

Hello, I am having particular trouble with the below problem. We are using http://studygig.com/uploads/materials/math1090_mathematical_logi.pdf and we must prove this statement using Hilbert style or Equational style proof (first-order logic), but any proof of any type would point me in the...

The recent thread about the delayed choice experiment made me want to understand the experiment as a quantum circuit. I made this: (contrast with http://www.nature.com/nphys/journal/v8/n6/images/nphys2294-f2.jpg) The left hand side is the qubit-holding wires and gates to apply, with Alice...

What is the intuitive logic behind setting up the definition of reparametrization as being a bijective map and all that(the inverse map being smooth) and not alone that the reparametrisation must give us the same image curve.e.g if we see (t,t^2) as being describing the same curve as (t^3,t^6)...

Hello, I want to start learning mathematical logic. I was wondering what would be a good "expansive" mathematical logic book that covers as much material as possible. My school has books by both Ebinghaus (et. al) and Monk. Are these good? I've heard good things about Schoenfield, but I was...

Hey there PF'ers. I'm looking for a nifty book or site on Quantum logic and Computation. The sort of book like that would cover digital logic - jumps over all the explanations of underlying working and goes straight to logic and computation. I know it's important, but I have done courses in...

Homework Statement Suppose that predicates and individuals are dened as follows: S: should be shunned, U: is prone to unruly behaviour, P: is a friend of Peter's, M: is a friend of mine, a: Ann, d: David. Symbolize the following: i. Ann is a friend of Peter's and David is a friend of mine...

In logic a or b is true if both a and b are true but do you think the everyday or is in fact xor ?

Looking for a solid introductory text on computer logic with emphasize on hardware design. There is tons of material out there, but it seems to me most of them are oriented towards low level software design, rather then hardware design: lots of register transfer codes, VHDL/Verilog simulations...

I've been staring at this for hours but I do not get how the pattern works at all. The problem is from this website. It's not that I'm an idiot, I think there's something wrong with the pattern!

This is a problem from a section on Line Integrals in my Calculus Textbook, I haven't studied any physics relating to E&M yet, and the solutions manual only gives solutions for odd numbered problems. Sorry, if I'm posting in the wrong forum, I hope I'm not. 1. Homework Statement A steady...

How to solve the attached Sudoku without computer or a guess?

I have two questions to ask: (a) Is there some rule for estimating the number of branches in a Beth tableaux in advance? and (2) is the number of the open branches in a semantic tableau equal to the number of the interpretations that assign to the propositional type a true value? If the answer...

Good morning, I'm looking at some logic diagrams for relays and have encountered something that I've never seen before. I haven't looked on the internet extensively since I thought the folks here at the forums would be able to answer my question more quickly. My experience with logic is...

Anyone like riddles? I've got funny one. ​The Math Riddle Question: Where is the koala? There are five houses, each of a different color and inhabited by men from different territories, with one unique animal*, drink, and car. Some facts are given: 1. The Tasmanian lives in the red house. 2...

Homework Statement Okay, This time it's an exam question. I am doing some past papers and there are questions about comparators which are not introduced in this course (this course is preliminary course for engineering students who are interested in electrical, electronic or computer...

Hey guys I am having a bit of a difficult time with this question, if some one could help me out it would be appreciated, thanks. Consider the following argument. "If the weather is fine, and the train is early, then the dog will sit on the tuckerbox. The train will be early, (but) also there...

<<Mentor note: Missing template due to originally being posted in other forum.>> So, my professor gave a problem which stated: Given a 15 x 20 rectangle, prove that if 26 points are chosen, at least one pair will be at most five units away. What I said was to split the rectangle into 12 5x5...

I have once again (this time in http://www.economist.com/node/2099851) come across the argument that a fuzzy logic solves the liar paradox by assigning the liar sentence a truth value N, other than T or F, with [[A]] = N ⇒[[~A]] = N. However, I don't see that this gets around the essential...

In theories with a two-valued logic, a sentence is "meaningful" if it is (with respect to a given model) either true or false. Does this definition need to be modified for multi-valued logics? If so, how?

I am planning to study the following pure mathematics areas (on my own) and wanted to know if this is the best sequence: 1- Formal Logic 2 -Philosophical Logic 3- Sentential Logic 4- Predicate Logic 5- Symbolic Logic 6 -Set Theory 7 -Pure Mathematics (Intro, Pure Math I and II and Hardy) -...

hello how can i use full adder with encoder in multisim to add and Subtract two decimal number and create it

Homework Statement https://www.dropbox.com/s/d3qdr96n27j8wa7/circuit.png?dl=0 The questions is as follows: For each circuit write the equivalent logic expression. Homework Equations (B' + C) * A (?) My Attempt at circuit 2 (A* (A' * C') * B') + (A * C * B) My Attempt at Circuit 1 The Attempt...

Hey guys, I'm in a pickle with this question. Its really not my cup of tea, its a struggle factor really but I don't really have a choice whether I like it or not. A worked example such as this allows me to see what it is I need to do. If anyone can provide a helping hand it would assist me...

Hello all, Reading this article http://www.allaboutcircuits.com/vol_4/chpt_3/2.html explaining NOT logic at component level. I'm not sure I understanding the arrow drawn in this figure: above sentence "This tells us that ..." Is the arrow depicted current? If so, would that make passing the...

Premise 1: Physics don't believe in sense "organs" of the human "robot" (more commonly said "common sense deceives us"). Premise 2: Physics believes in logic or mathematics. Background thrust: Quantum mechanics. Premise 3: Everything which "revolves" around the nucleus might not have...

Consider this example: A player in a game show was asked to choose between three doors, two doors contain a faulty prize, while the other contains a million dollars. As the player wanted the money, he chose one (in this case, the probability of choosing the door with the money is 33.33%). Since...

First I really don't know where I should post this (I'm assuming this place is fine, maybe coursework?) So I built a circuit that includes a 1k x 4 RAM ( so I'm assuming that stands for 4000 Kb but I wouldn't see why you'd need to write 1k x 4 RAM) Furthermore, I'm having trouble...

Hello I recently noticed that mathematical logic is related to computer science. I haven't studied math in university yet I'm not good at math and Since I'm not a native English speaker some English is hard to me. Is there any good and easy book which describes mathematical logic used in...

Hi :smile: I am studying mathematical logic by a pdf file. But there is no proof about this therorem so I don't understand.. How to prove this?

hi guys, Im not a science student but wanted help in understanding a few fundamentals. Here is where i have learned till please correct me if i am wrong. is it correct if i state, "If you can lift 74.6kgs off the ground to a height of 1m in 1sec you have power = 1hp?" i say that cause i read...

Homework Statement Identify and fix all hazards in ##f = (ab + \bar{a}c)(c + \bar{b}) + ab##. Re-check if the final expression obtained is hazard free. Homework EquationsThe Attempt at a Solution So I used a binary tree and found a static 1 hazard present for ##bc = 11##. The hazard was ##a...