PPT-Logic & Critical Reasoning

TruthTable Analysis What is a TruthTable A truthtable is a table that shows the distribution of truthvalues T and F over a set of compound formulas The distribution is determined by a fixed set of truthvalues as inputs the definitions of the truth functions involved in the compound formulas and the determination of dependency. Permission granted for photocopy reproduction. Please do not alter or modify contents. All rights reserved. 800-338-4065 www.loveandlogic.com P(. A . &. B. ) . = . P(. A. |. B. ) * P(. B. ). Product Rule:. Bayesian Reasoning. P(. A . &. B. ) . = . P(. A. |. B. ) * P(. B. ). Product Rule:. Shorthand for . . P(A=true & B=true) = P(A=true | B=true) * P(B=true). - Charles Sanders Peirce. Using Models of Reasoning. A Return to Logos. Reasoning from Specific Instances. Progressing from a number of particular facts to a general conclusion. .. This is also known as inductive reasoning.. Closure properties in modal logic. Closure properties in modal logic. Specific modal logics. Specific . modal logics are . specified . by giving . formula schemes. , which are then called axioms, and . Grigore. . Rosu. and Andrei Stefanescu. University of Illinois, USA. Matching Logic . Reachability. - Goal -. Language independent program verification framework. Derives program properties based on the operational semantics of a language. Grigore. . Rosu. University of Illinois at . Urbana-Champaign (UIUC). Joint work with. Chucky Ellison . (UIUC). Wolfram Schulte . (Microsoft Research). How It Started. NASA project runtime . verification effort. We already know that the language of the machine is . binary. – that is, sequences of 1’s and 0’s. But why is this? . At the hardware level, computers are streams of signals. These signals only have two states of interest, high voltage and low voltage. . We already know that the language of the machine is . binary. – that is, sequences of 1’s and 0’s. But why is this? . At the hardware level, computers are streams of signals. These signals only have two states of interest, high voltage and low voltage. . Learning Objectives. Know the three basic logic gate operators . Work out the output of given inputs using a truth table. All the instructions and data inside a computer are stored using binary. . Computer memory uses many small transistors and capacitors to store data. . Learn what a logic gate is and what they are for.. Be able to identify common logic gates.. Understand how truth tables work.. What is a logic gate?. Logic gates are part of the circuits inside your computer. They can take several INPUTS. . - Charles Sanders Peirce. On the Radar. Researching the Persuasive Speech Assignment. Due Wednesday on . WebCT. (by 11:59 p.m.). Exam Two. This Friday in Lecture. Study Guide on Course Website. Workshops for the Persuasive Speech. Dr. Chris Reading. SiMERR. National Research Centre (UNE, Australia). ISFIRE2018. Path to the investigation. What is spatial reasoning?. How important is spatial reasoning?. Can spatial reasoning be learnt?. Logic Gates. NOT (Inverter) Gate. AND Gate. OR Gate. NAND Gate. NOR Gate. XOR Gate. Digital Signals. Digital signals 0 (false) or 1 (true). Digital signal 1 is represented by a small voltage.. Digital signal 0 is represented by no voltage.. Provers. Originally Presented by. Peter Lucas. Department of Computer Science, Utrecht University. Presented . by. Sarbartha. . Sengupta. (10305903). Megha. Jain (10305028. ). Anjali . Singhal. (10305919).