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1
The structure of models of
Peano
arithmetic
by
Kossak, Roman
Published 2006
Clarendon
Call Number:
QA9
Read Now
2
Gödel's Theorems and Zermelo's Axioms : A Firm Foundation of Mathematics
by
Halbeisen, Lorenz
,
Krapf, Regula
Published 2020
Birkhäuser
Table of Contents:
“
... -- Models of
Peano
Arithmetic
and Consequences for Logic -- Arithmetic in
Peano
Arithmetic
-- Gödelisation...
”
Read Now
3
Model Theory and Arithmetic : Comptes rendus d'une action thematique programmee du C.N.R.S. sur la theorie des modeles et l'Arithmetique, Paris, France, 1979/80
Published 1981
Springer Berlin Heidelberg
Table of Contents:
“
...Models of
Peano
Arithmetic
-- Cuts in Models of Arithmetic -- Two notes on the Paris independence...
”
Read Now
4
A Mathematical Prelude to the Philosophy of Mathematics
by
Pollard, Stephen
Published 2014
Springer International Publishing
Table of Contents:
“
...Preface -- Chapter 1: Recursion, Induction -- Chapter 2:
Peano
Arithmetic
, Incompleteness...
”
Read Now
5
Two Applications of Logic to Mathematics
by
Takeuti, Gaisi
Published 2015
Princeton University Press
“
... of projections. In Part Two, he develops classical analysis including complex analysis in
Peano
's
arithmetic
...
”
Call Number:
QA9
Read Now
6
Truth, Proof and Infinity : A Theory of Constructive Reasoning
by
Fletcher, P.
Published 1998
Springer Netherlands
Table of Contents:
“
...47. From Second-Order Heyting Arithmetic to Second-Order
Peano
Arithmetic
-- 48. Second-Order
Peano
...
”
Read Now
7
Model Theory of Algebra and Arithmetic : Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz,Poland, September 1-7, 1979
Published 1980
Springer Berlin Heidelberg
Table of Contents:
“
..., and independence results in
Peano
arithmetic
-- Hensel fields in equal characteristic p>0 -- On polynomials over...
”
Read Now
8
Turing Computability : Theory and Applications
by
Soare, Robert I.
Published 2016
Springer Berlin Heidelberg
Table of Contents:
“
... Trees and Π01 Classes -- Chap. 8 Open and Closed Classes -- Chap. 9 Basis Theorems -- Chap. 10
Peano
...
”
Read Now
9
The logic of infinity
by
Sheppard, Barnaby
Published 2014
Cambridge University Press
Table of Contents:
“
... -- The axiom of choice and the continuum hypothesis -- Models -- From Gödel to Cohen.
Peano
arithmetic
...
”
Call Number:
QA248
Read Now
10
A Model–Theoretic Approach to Proof Theory
by
Kotlarski, Henryk
Published 2019
Springer International Publishing
“
.... This provides a background for an analysis of subsystems of
Peano
Arithmetic
as well as for combinatorial...
”
Read Now
11
S. Leśniewski’s Lecture Notes in Logic
Published 1988
Springer Netherlands
Table of Contents:
“
... and theses of Le?niewski’s Ontology -- 3. Class theory -- Two:
Peano
Arithmetic
and Whitehead’s Theory...
”
Read Now
12
Forcing, Arithmetic, Division Rings
by
Hirschfeld, J.
,
Wheeler, W.H.
Published 1975
Springer Berlin Heidelberg
Table of Contents:
“
... for arithmetic -- Generic models and the analytic hierarchy -- Applications to complete extensions of
peano
...
”
Read Now
13
Metamathematics of first-order arithmetic
by
Hájek, Petr
,
Pudlák, Pavel
Published 2016
Cambridge University Press
“
... pay particular attention to subsystems (fragments) of
Peano
arithmetic
and give the reader a deeper...
”
Call Number:
QA248
Read Now
14
Gödel's Incompleteness theorems
by
Kennedy, Juliette
Published 2022
Cambridge University Press
“
.... It examines the question whether the incompleteness of e.g.
Peano
Arithmetic
gives immediately...
”
Call Number:
QA9.65
Read Now
15
Proofs and computations
by
Schwichtenberg, Helmut
,
Wainer, S. S.
Published 2012
Cambridge University Press
“
... in classical systems, from fragments of
Peano
arithmetic
up to Π11-CA0. Ordinal analysis...
”
Call Number:
QA9.54
Read Now
16
Logic Year 1979-80 : The University of Connecticut, USA
Published 1981
Springer Berlin Heidelberg
Table of Contents:
“
...-MacQueen theorem -- Recursively saturated, rather classless models of
peano
arithmetic
-- The degrees...
”
Read Now
17
An Invitation to Mathematical Logic
by
Marker, David
Published 2024
Springer Nature Switzerland
Table of Contents:
“
... Gödel's Incompleteness Theorems -- 14 Hilbert’s 10th Problem -- 15
Peano
Arithmetic
and ϵ0 -- 16 Models...
”
Read Now
18
Logic and Complexity
by
Lassaigne, Richard
,
Rougemont, Michel de
Published 2004
Springer London
Table of Contents:
“
... and decidability -- 7. Incompleteness of
Peano
arithmetic
-- 2. Descriptive Complexity -- 8 Complexity: time...
”
Read Now
19
An introduction to Gödel's Theorems
by
Smith, Peter
Published 2007
Cambridge University Press
Table of Contents:
“
...: taking stock -- Two formalized arithmetics -- What q can prove -- First-order
peano
arithmetic
...
”
Call Number:
QA9.65
Read Now
20
Logical Foundations of Computer Science : International Symposium, LFCS 2020, Deerfield Beach, FL, USA, January 4–7, 2020, Proceedings
Published 2020
Springer International Publishing
Table of Contents:
“
... Logic Analysed in Constructive Type Theory -- On the Constructive Truth and Falsity in
Peano
Arithmetic
...
”
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