Math Elective Help: Abstract Algebra, Theory of Numbers, or Symbolic Logic?

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Discussion Overview

The discussion revolves around the selection of a math elective among abstract algebra, theory of numbers, and intermediate symbolic logic. Participants explore the implications of each choice based on future career paths, practical applications, and personal preferences.

Discussion Character

  • Debate/contested, Conceptual clarification

Main Points Raised

  • One participant suggests that if the individual plans to pursue a career in philosophy or law, symbolic logic may be the most beneficial course.
  • Another participant argues that for a future mathematician, the choice between abstract algebra and logic is uncertain, and emphasizes the importance of linear algebra for physicists.
  • A different viewpoint expresses skepticism about the practicality of any of the courses, suggesting that none are particularly easy and that their utility depends on the course level and instructor.
  • One participant highlights abstract algebra as fundamental for future studies in mathematics, unless one intends to specialize in logic.
  • A participant studying to become an elementary school teacher notes that none of the courses seem directly useful for their career but acknowledges the requirement to choose an elective.
  • Another participant, also training to be an elementary school teacher, recommends taking logic to better prepare for teaching students about logical thinking.

Areas of Agreement / Disagreement

Participants express differing opinions on the practicality and relevance of the courses, with no consensus on which elective would be the easiest or most beneficial for the individual’s future career.

Contextual Notes

Participants' recommendations are influenced by their own career goals and experiences, which may not align with the original poster's objectives. The discussion reflects varying interpretations of the courses' relevance and difficulty.

Who May Find This Useful

Students considering math electives, particularly those with interests in philosophy, law, mathematics education, or related fields.

Seda S
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Hello, I'm debating between taking either abstract algebra, theory of numbers, or intermediate symbolic logic as a math elective. Does anyone have any idea which would make my life easier?
 
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If your life is going to be spent as a philosopher or lawyer, I suggest taking the logic course. If you're going to be a mathematician, I think the choice between abstract algebra and logic is a toss-up. Physicists need to know linear algebra, I don't know if that's part of the abstract algebra course you mention. Linear algebra helps in understanding common applications of statistics to the social sciences.
 
Highly dependent on what you plan on doing. Generally speaking, I wouldn't recommend any of those classes as things to make your life easier. I don't think any of them are terribly practical, although they could be turned in a more practical direction, if you followed up on them in the right way (study cryptography, maybe).

If you mean to ask which is the easiest, that is totally dependent on the level of the course and the instructor.

If you mean to ask which is the most important later in math, I would say abstract algebra is the most fundamental, unless you're going to be a logician, but you'd still probably want to do abstract algebra later.
 
I'm studying to become a elementary school teacher with a concentration in math. Neither of these seem to be useful for that purpose but I am required to pick an elective anyway which is why I am having trouble deciding which one will give me the least problems.
 
Seda S said:
I'm studying to become a elementary school teacher with a concentration in math.

If you are going to be a math teacher who lectures students to think logically, better take logic so you will know what you are recommending.
 

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