PPT-Turing and Ordinal Logic

14 th September 2012 Turing and Ordinal Logic Or To Infinity and Beyond James Harland School of Computer Science amp IT RMIT University jamesharlandrmiteduau Turing at Princeton. That is you can rank the values but the real distance between categories is unknown Diseases are graded on scales from least severe to most severe Survey respondents choose answers on scales from strongly agree to strongly disagree Students are gr They provide a precise formal de64257nition of what it means for a function to be computable Many other de64257nitions of computation have been proposed over the years for example one could try to formalize precisely what it means to run a program They provide a precise formal de64257nition of what it means for a function to be computable Many other de64257nitions of computation have been proposed over the years for example one could try to formalize precisely what it means to run a program Vinay Singh. MARCH 20, 2012. MAT 7670. Introduction to Ordinal Numbers. Ordinal Numbers. Is an . extension (domain ≥) . of Natural Numbers (ℕ) different from Integers (ℤ) and Cardinal numbers (Set sizing). Numbers. Table. of Ordinal . Numbers. Ordinal . Numbers. . from. 1 . through. 1,000,000. 1. st. first. 11. th. eleventh. 21. st. twenty-first. 31. st. thirty-first. 2. nd. second. 12. th. twelfth. BY JOHN NAGUIB. 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. CS482, CS682, MW 1 – 2:15, SEM 201, MS 227. Prerequisites: 302, 365. Instructor: . Sushil. Louis, . sushil@cse.unr.edu. , . http://www.cse.unr.edu/~sushil. Syllabus. Webpage: . http://www.cse.unr.edu/~sushil/class/ai/. Computing – Post 1900. Raj . Reddy. Carnegie Mellon University. Jan 16, 2013. rr@cmu.edu. 15-346 Schedule of Presentations. Spring 2013.  . Jan 14 . Raj Reddy. . Origins . of Computers I – Pre 1900. 1912-1954. Mathematical Agenda set by Hilbert. Requirements for the solution of a mathematical problem. It shall be possible to establish the correctness of the solution by means of a finite number of steps based upon a finite number of hypotheses which are implied in the statement of the problem and which must be exactly formulated.. Numbers. ~Apuntes. What are . ordinal Numbers. ?. Indicate position in a series. Team one came in . 3rd. place.. Indicate the order of items. The . fifth. person is the winner.. Computability and Logic. Central Question. Given any statement about mathematics, is it true or is it false?. Example: . Goldbach. Conjecture: Every even number greater than 2 is the sum of two prime numbers.. . 22-25 June 2012. Overview and Summary. Michael Brand. Manchester town hall. Venue. The 12 “Manchester Murals”. Color-lit. 16-foot. pipe organ. Stars & planets depicted in . mozaic. City & country crests. Raj . Reddy. Carnegie Mellon University. Jan 16, 2013. rr@cmu.edu. 15-346 Schedule of Presentations. Spring 2013.  . Jan 14 . Raj Reddy. . Origins . of Computers I – Pre 1900. Jan 16 . Raj . Reddy . 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??.