Tarski's undefinability theorem, proven by Alfred Tarski in 1933, states that arithmetical truth cannot be defined within arithmetic or any sufficiently strong formal system. This has implications for mathematical logic, the foundations of mathematics, and formal semantics, as it shows that truth in a system cannot be defined within that same system.
Carnegie Mellon University
Spring 2014
A comprehensive course at Carnegie Mellon University that introduces fundamental principles of programming language design and implementation from a mathematical perspective. It delves deep into the structural and dynamic aspects of programming languages, studying concepts like recursion, objects, polymorphism, and parallelism.
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