- Source: Abstract logic
In mathematical logic, an abstract logic is a formal system consisting of a class of sentences and a satisfaction relation with specific properties related to occurrence, expansion, isomorphism, renaming and quantification.
Based on Lindström's characterization, first-order logic is, up to equivalence, the only abstract logic that is countably compact and has Löwenheim number ω.
See also
Abstract algebraic logic – Study of the algebraization of deductive systems, based on the Lindenbaum–Tarski algebra
Abstract model theory
Löwenheim number – Smallest cardinal number for which a weak downward Löwenheim–Skolem theorem holds
Lindström's theorem – Theorem in mathematical logic
Universal logic – Subfield of logic that studies the features common to all logical systems
References
Kata Kunci Pencarian:
- Sifat komutatif
- Saharon Shelah
- Konferensi penandatangan
- Teori pilihan rasional
- Kurt Gödel
- Penambahan
- Logaritma
- Teori kategori
- Agama adalah candu
- Bijeksi
- Abstract logic
- Abstract Logic (album)
- Abstract logic (disambiguation)
- Abstract algebraic logic
- Löwenheim number
- Mathematical object
- Boolean algebra
- First-order logic
- Algebraic logic
- Higher-order logic
