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UnkleRhaukus

  • 2 years ago

which subtopic of maths does logic go in/

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  1. estudier
    • 2 years ago
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    Metamath (for mathematical logic)

  2. UnkleRhaukus
    • 2 years ago
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    if you say so

  3. estudier
    • 2 years ago
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    Don't u believe me?:-)

  4. UnkleRhaukus
    • 2 years ago
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    i dont really know what defines metamath

  5. ParthKohli
    • 2 years ago
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    It comes under Pure Mathematics. @estudier is telling you to ask them in the Meta-math group.

  6. ParthKohli
    • 2 years ago
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    Mathematical logic per se is a study which comes under Pure Mathematics.

  7. estudier
    • 2 years ago
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    Roughly speaking it is the use of math to talk about math.

  8. UnkleRhaukus
    • 2 years ago
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    what ever you reckon

  9. ParthKohli
    • 2 years ago
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    Because they have no mathematical logic group, meta-math is the best group to ask in. In fact, Meta-math is an appropriate description of mathematical logic, because it's mathematics about mathematics.

  10. estudier
    • 2 years ago
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    To be honest, I am not so sure that we really need this section in OS. At least, I think that there would not be so many members of that group.

  11. UnkleRhaukus
    • 2 years ago
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    but logic about logic is maths

  12. ParthKohli
    • 2 years ago
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    Yeah... it's sort of a conclave thing.

  13. estudier
    • 2 years ago
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    One thing I noticed missing is a Miscellaneous/Other category or a category for Recreational Mathematics

  14. estudier
    • 2 years ago
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    Anyway, that is not the question here, sorry...

  15. estudier
    • 2 years ago
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    I think it is a good idea to ask the question in the metamath group "What is metamath?" (And pin the thread, except u can't do that)

  16. UnkleRhaukus
    • 2 years ago
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    well so far i have some reason to post logic questions in the subtopic metamath, however i can think of equally valid reasons to post logic question in other subtopics, so i still am not convinced that metamath is the best section to post in

  17. estudier
    • 2 years ago
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    Where would you post it instead? Algebra? (I don't disagree with u, metamath only includes mathematical logic usually)

  18. UnkleRhaukus
    • 2 years ago
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    probability, statistics, discrete math

  19. UnkleRhaukus
    • 2 years ago
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    geometry

  20. estudier
    • 2 years ago
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    Exactly which sort of logic are we talking about?

  21. UnkleRhaukus
    • 2 years ago
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    where do you think is best for this question \[(1,2)\cap[2,3)=\]

  22. estudier
    • 2 years ago
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    Set Theory = Metamath Applications of Set theory = The area in which it is being applied.

  23. UnkleRhaukus
    • 2 years ago
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    im talking about these operators \(\neg,\land,\lor,\Rightarrow,\Leftrightarrow,\exists,\forall,|\)

  24. estudier
    • 2 years ago
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    Again, you have to distinguish between the theory and the applications

  25. estudier
    • 2 years ago
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    The theory is that of formal systems (First order logic and in general, nth order logics).

  26. UnkleRhaukus
    • 2 years ago
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    well im doing a course you see, and we have covered all the above operators , then some stuff on proof, ( like proof of \(\sqrt{2}\not\in\mathbb Q\}\) and now we are starting some set theory

  27. estudier
    • 2 years ago
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    Yes, these are all connected...

  28. UnkleRhaukus
    • 2 years ago
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    \[\{,(,[,\cup,\cap,\]

  29. UnkleRhaukus
    • 2 years ago
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    i feel there should be a single subtopic that can accommodate all these, maybe it is just maths

  30. estudier
    • 2 years ago
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    propositional logic - simple declarative propositions, first-order logic - covers predicates and quantification as well

  31. estudier
    • 2 years ago
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    These are then used in ZFC (a formal mathematical system) to prove things using the language of sets

  32. estudier
    • 2 years ago
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    At a very abstract level, I would call this metamath. Otherwise, it would depend on where it was being applied.

  33. UnkleRhaukus
    • 2 years ago
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    yeah

  34. estudier
    • 2 years ago
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    However it does seem to be to be very algebraic in nature.

  35. UnkleRhaukus
    • 2 years ago
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    my main reason for disliking metamath as the best option, is that the OS group dosent have much history of use of these symbols

  36. estudier
    • 2 years ago
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    Basically, I agree, we could get along fine without this subgroup and instead maybe have one called "Proofs, Logic and Sets" or something like that.

  37. lgbasallote
    • 2 years ago
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    logic is under discrete mathematics......

  38. estudier
    • 2 years ago
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    I have seen people say that logic (and set theory/proofs) is a part of discrete math but I fail to see why that should be, logic, proof and set theory is applied across all of mathematics.

  39. lgbasallote
    • 2 years ago
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    if you consider logic to be under mathematics, then it's under discrete mathematics. Otherwise, you might as well consider logic to be under philosophy

  40. estudier
    • 2 years ago
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    If it is the theory of mathematical logic then it is definitely metamathematics, the applications could be anywhere but to me the usage seems most like algebra (symbolic manipulation according to some rules). There are a lot of things under the heading "logic", it depends what u mean and whether you are talking about applications or theory.

  41. shadowfiend
    • 2 years ago
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    That's a good question. Keep in mind that if you can't find a valid subtopic, you can absolutely just post it directly in math. That said, you're right that set theory and formal logic could probably use some sort of subtopic. I feel like lumping proofs in there is random and unnecessary, however (despite the fact that proofs often rely on formal logic). Perhaps a logic & sets topic? The correlation there is stronger, I feel.

  42. swissgirl
    • 2 years ago
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    Well Discrete math is basically compromised of Logic, Set Theory, Relations, Cardinality, Functions such as mapping a function onto or one to one and sometimes graph theory. So I guess you would ask a logic question in the Discrete math section.

  43. estudier
    • 2 years ago
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    @swissgirl Well (deleted) math is basically compromised of Logic, Set Theory, Relations, Cardinality, Functions such as mapping a function onto or one to one and sometimes graph theory. So I guess you would ask a logic question in the (deleted) math section. :-)

  44. swissgirl
    • 2 years ago
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    As usual I didnt follow the joke lol

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