New doctors benefit from induction scheme

BMJ ◽  
2004 ◽  
Vol 329 (Suppl S4) ◽  
pp. 0410352b
Author(s):  
Michael Roberts
Keyword(s):  
2017 ◽  
Vol 10 (3) ◽  
pp. 455-480 ◽  
Author(s):  
BARTOSZ WCISŁO ◽  
MATEUSZ ŁEŁYK

AbstractWe prove that the theory of the extensional compositional truth predicate for the language of arithmetic with Δ0-induction scheme for the truth predicate and the full arithmetical induction scheme is not conservative over Peano Arithmetic. In addition, we show that a slightly modified theory of truth actually proves the global reflection principle over the base theory.


2018 ◽  
Vol 466 (1) ◽  
pp. 281-306
Author(s):  
Pedro L. Capett-Figueras ◽  
Fernando J. Sánchez-Salas
Keyword(s):  

Author(s):  
Diethard Mattanovich ◽  
Walter Kramer ◽  
Christine Lüttich ◽  
Robert Weik ◽  
Karl Bayer ◽  
...  

2013 ◽  
Vol 55 (1) ◽  
pp. 11-27
Author(s):  
Tidita Abdurrahmani

The study aims to analyse the results of “Teacher Qualification Exam” in Albania, and to link these results with teacher preparation curricula taught in public universities. The methodology of research includes desk research on the literature about curricula and teacher continuous professional development, elaboration of the results of the testing of 3064 teachers, analysis of the university teacher preparation curricula in terms of skills development, the elaboration of the results of questionnaires developed by novice teachers, and in depth interviews with students graduating from the education departments. As a result, the research shows the relationships amongst the curricula developed in the teacher preparation faculties in Albania, the poor results of novice teachers involved in the induction scheme, and the comparatively low results of teachers pertaining to the third category of the Qualification Scheme (novice teachers having no more than 5 years of teaching experience) in Albania. It is advisable to adopt a better professional development scheme. Key words: desk research, novice teachers, teacher qualification.


2017 ◽  
Vol 452 ◽  
pp. 57-63 ◽  
Author(s):  
Ferran Jardí ◽  
Michaël R. Laurent ◽  
Vanessa Dubois ◽  
Rougin Khalil ◽  
Ludo Deboel ◽  
...  

1989 ◽  
Vol 54 (1) ◽  
pp. 57-64 ◽  
Author(s):  
Ingrid Lindström

AbstractIn this paper, we show that non-well-founded sets can be defined constructively by formalizing Hallnäs' limit definition of these within Martin-Löfs theory of types. A system is a type W together with an assignment of and to each ∝ ∈ W. We show that for any system W we can define an equivalence relation =w such that ∝ =w ß ∈ U and =w is the maximal bisimulation. Aczel's proof that CZF can be interpreted in the type V of iterative sets shows that if the system W satisfies an additional condition (*), then we can interpret CZF minus the set induction scheme in W. W is then extended to a complete system W* by taking limits of approximation chains. We show that in W* the antifoundation axiom AFA holds as well as the axioms of CFZ−.


1991 ◽  
Vol 56 (3) ◽  
pp. 885-890 ◽  
Author(s):  
Zofia Adamowicz

Let S be a recursive theory. Let a theory T* consisting of Σ1 sentences be called maximal (with respect to S) if T* is maximal consistent with S, i.e. there is no Σ1 sentence consistent with T* + S which is not in T*.A maximal theory with respect to IΔ0 was considered by Wilkie and Paris in [WP] in connection with the end-extension problem.Let us recall that IΔ0 is the fragment of Peano arithmetic consisting of the finite collection of algebraic axioms PA− together with the induction scheme restricted to bounded formulas.The main open problem concerning the end-extendability of models of IΔ0 is the following:(*) Does every model of IΔ0 + BΣ1 have a proper end-extension to a model of IΔ0?Here BΣ1 is the following collection scheme:where φ runs over bounded formulas and may contain parameters.It is well known(see [KP]) that if I is a proper initial segment of a model M of IΔ0, then I satisfies IΔ0 + BΣ1.For a wide discussion of the problem (*) see [WP]. Wilkie and Paris construct in [WP] a model M of IΔ0 + BΣ1 which has no proper end-extension to a model of IΔ0 under the assumption IΔ0 ⊢¬Δ0H (see [WP] for an explanation of this assumption). Their model M is a model of a maximal theory T* where S = IΔ0.Moreover, T*, which is the set Σ1(M) of all Σ1 sentences true in M, is not codable in M.


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