Logic deals with the most general laws of truth and is now generally held to consist of the systematic study of the form of valid inference. This Basic Principles Of Logic will help you understand various illustrious result- Kurt Gödel’s-theorem, Church’s-theorem; Tarski’s-theorem etc.
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Basic Principles Of Logic
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Logic deals with the most general laws of truth and is now generally held to consist of the systematic
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Logic deals with the most general laws of truth and is now generally held to consist of the systematic
study of the form of valid inference. This Basic Principles Of Logic will help you understand various
illustrious result- Kurt Gödel’s-theorem, Church’s-theorem; Tarski’s-theorem etc. Besides, Basic
Principles Of Logic is designed for you to make you understand the theory of computability, an
axiomatic basis for proving truths of Arithmetic for proving truths of arithmetic easy and effective.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to
complete the course, the answers will be in the form of written work in pdf or word. Students can
write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers
are submitted, the tutor will check and assess the work.
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Course Credit: MIT
COURSE CURRICULUM
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Why Study Computability? 00:18:00
Key Computability Concepts 00:28:00
The Language of Arithmetic 00:30:00
Church-Turing Thesis 00:19:00
Nonstandard Models of Arithmetic 00:10:00
Gödel Numbering 00:17:00
Robinson’s Arithmetic 00:17:00
Coding Proofs 00:10:00
Peano Arithmetic 00:32:00
Self-Reference Lemma 00:13:00
First Incompleteness Theorem 00:16:00
Interpretations 00:14:00
Tarski’s Theory of Truth 00:22:00
Second Incompleteness Theorem 00:27:00
Introduction to Modal Logic 00:14:00
Provability Logic 00:28:00
De ning Exponentiation 00:08:00
Assessment
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Certi cation 00:00:00
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