80-211: Logic and Mathematical Inquiry
(Spring 2012)

Schedule of Classes

At a glance ...

January 2012
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Mon 16 Jan
Lecture 1
Welcome and Course Introduction
We provide an overview over the course, covering topics, approach, and learning goals. We also outline administrative issues, such as assignments, exams, course policies, and grading.
Key concepts:
  • What is logic?
Wed 18 Jan
Lecture 2
Analysis of Informal Arguments
In this lecture, we reflect on how we reason and introduce the fundamental notions of inference. We observe that reasoning is language-independent.
Key concepts:
  • Inferences
  • Formal reasoning
  • Logic and language
Readings:

Mon 23 Jan
Lecture 3
The Syntax of Sentential Logic: Connectives
In this lecture, we examine some of the most elementary linguistic patterns used in reasoning, sentential logic and introduce symbols to express them.
Key concepts:
  • Statements
  • Propositional connectives
Readings:
Wed 25 Jan
Lecture 4
The Syntax of Sentential Logic: Formulas
In this lecture, we combine statements using connectives into logical formulas and practice translating English sentences in symbolic logic.
Key concepts:
  • Propositional formulas
  • Symbolization
  • Valid inferences
Readings:

Mon 30 Jan
Lecture 5
The Semantics of Sentential Logic: Truth Tables
In this lecture, we introduce the semantics of sentential logic, exploiting the syntactic structure of formulae: we provide a truth-definition for all formulae and define the central logical concepts (logical truth and consequence) and the truth table method for deciding related questions.
Key concepts:
  • Truth value assignments
  • Truth tables
  • Validity
Readings:
Wed 1 Feb
Lecture 6
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Mon 6 Feb
Lecture 7
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Wed 8 Feb
Lecture 8
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Mon 13 Feb
Lecture 9
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Wed 15 Feb
Lecture 10
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Mon 20 Feb
Lecture 11
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Wed 22 Feb
Lecture 12
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Mon 27 Feb
Lecture 13
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Wed 29 Feb
Exam
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Mon 5 Mar
No class (Spring Break)
Wed 7 Mar

Mon 12 Mar
Lecture 14
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Wed 14 Mar
Lecture 15
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Mon 19 Mar
Lecture 16
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Wed 21 Mar
Lecture 17
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Mon 26 Mar
Lecture 18
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Wed 28 Mar
Lecture 19
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Mon 2 Apr
Lecture 20
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Wed 4 Apr
Lecture 21
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Mon 9 Apr
Lecture 22
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Wed 11 Apr
Lecture 23
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Mon 16 Apr
Lecture 24
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Wed 18 Apr
Lecture 25
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Mon 23 Apr
Lecture 26
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Wed 25 Apr
Lecture 27
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Thu 3 May
(8:30-11:30)
[2152]
final
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© 2012 Iliano Cervesato iliano@cmu.edu