Is a Logic I Course Right for Me as a Math Major?

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Discussion Overview

The discussion revolves around the suitability of a Logic I course for a math major, particularly in the context of selecting electives. Participants share their experiences and insights regarding the course content, difficulty, and relevance to mathematical studies.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant inquires about the nature of a Logic I course, expressing interest in a specific course and professor based on positive reviews.
  • Another participant suggests that the course material may align with content from MIT's Open Course Ware on Logic I.
  • A description of the course is provided, highlighting prerequisites and the focus on analyzing statements and evaluating arguments through modern symbolic logic.
  • Some participants indicate that if a student is proficient in math, the introductory symbolic logic course might be manageable, while others note that students who struggle with math may find it challenging.
  • Concerns are raised about the potential difficulty of upper division logic courses, with one participant advising to review the syllabus for indications of advanced topics that could increase the workload.
  • Another participant shares a related concern about their enrollment in a Mathematical Logic & Computability course, questioning their preparedness given their lack of formal logic coursework but experience in proof-based math courses.

Areas of Agreement / Disagreement

Participants express varying opinions on the difficulty and content of the Logic I course, with no consensus on whether it is suitable for all math majors. Some believe it could be easy for those with a strong math background, while others caution about the potential challenges of more advanced material.

Contextual Notes

Participants mention the importance of reviewing course syllabi and possibly attending classes to gauge the course's fit for their academic needs. There are references to specific topics that may indicate the course's depth and rigor, such as the completeness theorem.

Shackleford
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I'm trying to pick my last elective. My others are PDEs. What's a Logic I course like? I'm considering this one course/professor, and he has good reviews on ratemyprofessor for this course.
 
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I assume it would be similar to the material covered here (Logic I from MIT Open Course Ware):

http://ocw.mit.edu/OcwWeb/Linguistics-and-Philosophy/24-241Fall-2005/CourseHome/
 
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PHIL 1321: Logic I
[TCCN—PHIL 2303]
Cr. 3. (3-0). Prerequisite: MATH 1310. (part of the core curriculum: Math/Reasoning). May not be taken for credit by students who already have credit for PHIL 2321. Techniques for analyzing statements and evaluating arguments, primarily through use of the apparatus of modern symbolic logic.
 
If you're pretty handy with math, and it's an introductory symbolic logic course, it's probably easy. I took a class like that as a freshman. From what I remember, people who found math challenging also found Introduction to Logic (the name of the course) challenging.

2 years later I took Advanced Logic and struggled with it. Different professor, and much less intuitive material.
 
If its a general logic course then go for it, mostly common sense. If this is an upper division mathematical introduction to logic then I would be a little hesitant. The introductory material will be easy in the latter class but depending on how far the professor goes it may end up being a very demanding course.

Read the syllabus, if you are going past the completeness theorem then it may be somewhat time consuming.

Note: I'm biased since my first logic class had a very peculiar professor and ended up failing 30-40% of the students in his class.

In terms of material, the logic course can be very interesting or very dry depending on what topics you look at in detail. If possible try to sit in on some classes before committing yourself to it.
 
Hm. Sorry for attempting to hijack the thread, but I have a related question. I'm enrolled in a Mathematical Logic & Computability course this semester, which has the goal of covering up to Godel's Incompleteness theorems. Here's the course description

"The basic metatheorems of first order logic: soundness, completeness, compactness, Lowenheim-Skolem theorem, undecidability of first order logic, Godel's incompleteness theorem. Enumerability, diagonalization, formal systems, standard and nonstandard models, Godel numberings, Turing machines, recursive functions, and evidence for Church's thesis. (Same course as PHIL 4003*)"

I've had no formal previous courses in Logic (such as Symbolic Logic), but as a pure math major I've learned much of it through many proof based math courses.

Think I'm over my head? If anyone's familiar with the text, we're using Enderton's Mathematical Introduction to Logic, second edition
 

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