First order logic : definitions

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SUMMARY

The discussion focuses on the definitions of terms and atoms within First Order Logic (FOL). Participants highlight the confusion surrounding these concepts, noting that while "atomic" appears in definitions, the term "atom" itself lacks a standardized definition in resources like Wikipedia. Additionally, the term "monadic" is questioned, specifically in relation to monadic terms and literals. Clarification on these definitions is essential for a deeper understanding of FOL.

PREREQUISITES
  • Understanding of First Order Logic (FOL)
  • Familiarity with logical terminology such as "terms" and "formulas"
  • Basic knowledge of logical structures and their components
  • Experience with academic resources on logic, such as Wikipedia
NEXT STEPS
  • Research the formal definitions of "terms" and "atoms" in First Order Logic
  • Explore the concept of "monadic" in relation to logical expressions
  • Review academic papers or textbooks on First Order Logic for standardized terminology
  • Examine the differences between atomic formulas and other logical constructs
USEFUL FOR

Students of logic, educators in mathematics or philosophy, and anyone seeking clarity on First Order Logic terminology will benefit from this discussion.

Saduina
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Hi all,
Just a few question about FOL logic.

What is the difference between terms and atoms, I read lot's of differents definitions, then when I think that I've understood, I find an exemple where both are used without any difference (for ordering by instance).

An another question is :
What does monadic mean ? Monadic terms, litterals, ...

Thank you
 
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Saduina said:
What is the difference between terms and atoms, I read lot's of differents definitions, then when I think that I've understood, I find an exemple where both are used without any difference (for ordering by instance).

I'm not a logician, so I'm unsure of how standardized such terminology is.

I'll give your thread a bump by noting that the current Wikipedia article on first order logic does not define the term "atom". It does define terms where the adjective "atomic" appears, such as "atomic formulas". The fact the adjective "atomic" appears in terminology doesn't require that the definition of the noun "atom" must be established.

Perhaps if you quote or cite some of the material that confuses you, another forum member can sort it out.
 

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