A sequence of theories for arithmetic whose union is complete

Aldo Ursini

Rendiconti del Seminario Matematico della Università di Padova (1977)

  • Volume: 57, page 75-92
  • ISSN: 0041-8994

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Ursini, Aldo. "A sequence of theories for arithmetic whose union is complete." Rendiconti del Seminario Matematico della Università di Padova 57 (1977): 75-92. <http://eudml.org/doc/107645>.

@article{Ursini1977,
author = {Ursini, Aldo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {first-order arithmetic; nonstandard arithmetic; provability; extensions of first order theories; sequences of theories},
language = {eng},
pages = {75-92},
publisher = {Seminario Matematico of the University of Padua},
title = {A sequence of theories for arithmetic whose union is complete},
url = {http://eudml.org/doc/107645},
volume = {57},
year = {1977},
}

TY - JOUR
AU - Ursini, Aldo
TI - A sequence of theories for arithmetic whose union is complete
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1977
PB - Seminario Matematico of the University of Padua
VL - 57
SP - 75
EP - 92
LA - eng
KW - first-order arithmetic; nonstandard arithmetic; provability; extensions of first order theories; sequences of theories
UR - http://eudml.org/doc/107645
ER -

References

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  1. [1] S. Feferman, Arithmetization of Metamathematics in a general setting, Fund. Mat.49 (1960) pp. 35-92. Zbl0095.24301MR147397
  2. [2] S. Feferman, Transfinite recursive pregressions of axiomatic theories, Joun., of Symb. Logic, 27 (1962) pp. 259-316. Zbl0117.25402MR172792
  3. [3] R. Magari, Significato e verità nell'aritmetica peaniana, Ann. di Mat. Pura e Appl., 4 (103) 1975, pp. 343-368. Zbl0316.02037MR373875
  4. [4] M.H. Löb, Solution of a problem of Leon Henkin, Journ. of Symb. Logic, 20 (1955) pp. 115-118. Zbl0067.00202MR70596
  5. [5] H. Rogers, Jr. Theory of recursive functions and effective computability, Mc Graw Hill ;New York, 1967. Zbl0183.01401MR224462
  6. [6] C. Smorynski, Consistency and related metamathematical properties, Amsterdam Mathematisch Instituut, Rp. 75-02. 
  7. [7] A. Ursini, On the set of « meaningful » sentences of arithmetic, to appear in Studia Logica. Zbl0404.03043MR515169

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