The logical nature of arithmetic
β Scribed by Th. Skolem
- Publisher
- Springer Netherlands
- Year
- 1955
- Tongue
- English
- Weight
- 542 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0039-7857
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is proved in this paper that the predicate logic of each complete constructive arithmetic theory T having the existential property is T 1 -complete. In this connection, the techniques of a uniform partial truth deΓΏnition for intuitionistic arithmetic theories is used. The main theorem is applied
The paper makes explicit the nature of some logical paradoxes by representing them in the form of logical nets, or simple finite automata expressed in the structural language as logical nets, both binary and non-classic multivalued ones. In this representation the structure of the problems turning e
## Abstract In this paper are studied the properties of the proofs in PRA of provability logic sentences, i.e. of formulas which are Boolean combinations of formulas of the form P~IPRA~(h), where h is the GΓΆdelβnumber of a sentence in PRA. The main result is a Normal Form Theorem on the proofβtrees