PPT-The History of Logic

Scott T Cella Obvious Existence of Logic Rise in Greek Mathematics Greeks sought to replace empirical methods with demonstrative science Answers the question Why The Greeks are the ones to blame for our High School Geometry struggles. Please do not alter or modify contents All rights reserved 1FQMFXIFFMMZVDDFGVMJNQMFNFUJHUIJLJMM hy does my child always have an attitude Shes often disruptive disrespectful or picking on other children Shes always the one with a chip on her shoulder Probability Conditional Probability Mean Median Mo de and Standard Deviation Random Variables Distributions uniform normal exponential Poisson Binomial Set Theory Algebra Sets Relations Functions Groups Partial Orders Lattice Boolean Algebra Comb Please do not alter or modify contents All rights reserved QVSIBTFE 1BJOMTT1BSOUJOHSUI1STDIMBST BDLTPU PMEF XXXMPWF E MPHDDPN 57513 2001 Jim Fay End the Bedtime Blues Parents Dont Need to Force Kids to Go to Sleep edtime is a time of frustration 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 . Jörg Zeller. Aalborg Universitet. zeller@learning.aau.dk. . zeller. logic of practice. 1. The middle between sentence and reality. zeller. logic of practice. 2. In PI 94 Wittgenstein says: „‘The sentence, a curious thing‘! In it lies already the sublimation of the whole representation. The tendency to assume a pure medium (. 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. ?. Anatoliy. . Konversky. ,. academician of National Academy . of Science of Ukraine,. D. ean of Philosophy Faculty. Taras. Shevchenko National University of Kyiv. . Dear colleagues. , participants of the conference! . 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. . 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. . Overview - Chapter 1. PLC Use. Machine control. Process control. Motion control. Batch control. Diagnostic. Other. Usually Multiple applications. History and Development. 1960’s. “Five hours to find it, five . 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.. 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.. What is Logic?. The science or study of how to evaluate arguments and reasoning. . “Logic is new and necessary reasoning” -Aristotle. Studied within. Philosophy. Mathematics. Computer Science. When did it start??.