Mathematical Logic Fall 2004 Professor R. Moosa Contents
... the field itself, and this is the case with logic. We often discover connections to core areas of math itself (number theory, geometry, analysis, and algebra). There is a dichotomy in logic. Given a statement (theorem/axiom/whatever), there is the syntax of the statement (what is written down on the ...
... the field itself, and this is the case with logic. We often discover connections to core areas of math itself (number theory, geometry, analysis, and algebra). There is a dichotomy in logic. Given a statement (theorem/axiom/whatever), there is the syntax of the statement (what is written down on the ...
Scheme programs consist of expressions, which can be: • Primitive
... procedure calls are tail calls. A Scheme interpreter should support an unbounded number of active tail calls. A tail call is a call expression in a tail context, which are: • The last body expression in a lambda expression • Expressions 2 & 3 (consequent & alternative) in a tail context if expressio ...
... procedure calls are tail calls. A Scheme interpreter should support an unbounded number of active tail calls. A tail call is a call expression in a tail context, which are: • The last body expression in a lambda expression • Expressions 2 & 3 (consequent & alternative) in a tail context if expressio ...
THE UNIVERSAL MINIMAL SPACE FOR GROUPS OF
... out that under MA X is not homeomorphic to ω ∗ . Thus under ¬ CH+MA, this example provides another weight c h-homogeneous space. (5) Let κ be a cardinal. By a well-known theorem of Kripke ([Kri67]) there is a homogeneous countably generated complete Boolean algebra, the so called collapsing algebra ...
... out that under MA X is not homeomorphic to ω ∗ . Thus under ¬ CH+MA, this example provides another weight c h-homogeneous space. (5) Let κ be a cardinal. By a well-known theorem of Kripke ([Kri67]) there is a homogeneous countably generated complete Boolean algebra, the so called collapsing algebra ...
Logic and Proof Book Chapter - IUPUI Mathematical Sciences
... The first chapter of this book focused on how to determine the truth values of compound statements and how to determine whether an argument is valid; however, the methods learned thus far are often incapable of describing many of the statements in mathematics. Consider the following sentence x is a ...
... The first chapter of this book focused on how to determine the truth values of compound statements and how to determine whether an argument is valid; however, the methods learned thus far are often incapable of describing many of the statements in mathematics. Consider the following sentence x is a ...
A Mathematical Introduction to Modal Logic
... The second axiom is called Kripke axiom or normality axiom. The logics which possess the normality axiom are surprisingly called normal modal logics. We have two proof rules. The first one, modus ponens, is a familiar one: If ` ϕ and ` ϕ → ψ, then ` ψ. The second one is unique to modal models, and c ...
... The second axiom is called Kripke axiom or normality axiom. The logics which possess the normality axiom are surprisingly called normal modal logics. We have two proof rules. The first one, modus ponens, is a familiar one: If ` ϕ and ` ϕ → ψ, then ` ψ. The second one is unique to modal models, and c ...
Lesson 9-3 Rational Exponents
... 1. How do we evaluate expressions with rational exponents? 2. How do we rewrite rational exponents as radicals? DO NOW: Simplify the following expressions. Use a calculator if needed. ...
... 1. How do we evaluate expressions with rational exponents? 2. How do we rewrite rational exponents as radicals? DO NOW: Simplify the following expressions. Use a calculator if needed. ...
