Comparing Finite Math and Logic: Which One Covers More Topics?

In summary, Finite Math and Logic are two different courses that may have overlapping topics but have distinct focuses. Finite Math covers a variety of topics including logic, combinatorics, and number theory, while Logic delves deeper into the subject of logic itself. Discrete math can be seen as a broader term that encompasses both Finite Math and Logic, as it deals with sets that are not infinite and treats elements as separate objects.
  • #1
loli12
Hi, I am planning to take either Finite Math (5 units) or Logic (3 units) the coming semester. When I look at the topics of the books we use at school, I found out that most of their topics are overlapping. Does Finite Math cover more topics including the ones we learn in Logic or is it the other way around? Actually I just want to learn more things like the Truth table which we won't learn in calculus or algebra.
Thanks!
 
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  • #2
There is no universal definition. The only indicator is the syllabus, which you have and we do not. Typically discrete, or finite, maths covers a lot of different topics, and may deal with anything that is not analysis (ie does not take limits). Logic is entirely separate (I wouldn't even consider truth tables to be part of finite mathematics), and is a metamathematical subject.
 
  • #3
Generally speaking, I would expect "Finite Mathematics" to include the basics of logic as well as, say, combinatorics and possibly some number theory.

A course titled specifically "Logic" would deal with logic in much more depth and not include the other parts of Finite Mathematics.
 
  • #4
Don't forget recursion and graph theory! Finite probability might be covered too.
 
  • #5
Is Finite Math the same as Discrete Math? Or am I way off? :)
 
  • #6
Mathematical terms such as these don't really have exact definitions. It's a blanket word. Finite mathematics deals with pretty much any mathematics that is about sets that are not infinite (for instance, not classical analysis). Discrete mathematics, again approximately, is anything which deals with sets whose elements are treated as separate, discrete objects. Ie all finite mathematics plus infinite sets too, such as vector spaces and such.
 

FAQ: Comparing Finite Math and Logic: Which One Covers More Topics?

What is Finite Math and Logic?

Finite Math is a branch of mathematics that deals with finite or discrete quantities, while logic is a systematic way of reasoning and making valid arguments.

How are Finite Math and Logic different?

Finite Math primarily deals with concrete, numerical calculations and applications, while logic is more abstract and focuses on principles of reasoning and argumentation.

Which one covers more topics?

It is difficult to say which one covers more topics as it ultimately depends on the specific topics being compared. However, Finite Math tends to cover a broader range of topics related to mathematics, while logic delves deeper into the principles and foundations of reasoning.

Can Finite Math and Logic be used together?

Yes, Finite Math and Logic can complement each other in solving real-world problems. Finite Math can provide the numerical calculations and data while logic can help in analyzing and interpreting the results.

Are Finite Math and Logic applicable in everyday life?

Absolutely! Both Finite Math and Logic have practical applications in our daily lives, from managing personal finances to making sound decisions and arguments.

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