Titlebook: LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science; Andrea Iacona Textbook 2021 The Editor(s) (if applicable) and The

OCTO

Derivability in ,,To say that a formula . is . from a set of formulas Γ in a system S is to say that there is a derivation of . from Γ in S.

heartburn

The System ,,This chapter outlines an axiomatic system called .. The language of . is .., the fragment of . whose logical constants are . and ⊃. So, . may be regarded as an axiomatic version of .., the poor cousin of . considered in Sect. ..

chassis

Consistency, Soundness, Completeness,This chapter deals with three key properties of systems: ., ., and .. As we shall see, . has these three properties, and the same goes for any other system that is deductively equivalent to ., such as ...

权宜之计

胡言乱语

The Language ,,Now .. will be defined in a rigorous way.

Thymus

远足

Consistency, Soundness, Completeness,This chapter shows that . is consistent, sound, and complete. The proof methods that will be employed to establish these results are the same that have been employed in Chapter . to prove the consistency, soundness, and completeness of ..

发酵

Undecidability and Related Results,This chapter dwells on some facts about . that concern decidability and related notions.

Metamorphosis

effrontery