In mathematical logic, true arithmetic is the set of all true first-order statements about the arithmetic of natural numbers. This is the theory associated ... Arithmetic undefinability · True theory of second-order...

23 апр. 2017 г. · A platonist might argue that there is one true arithmetic because the natural numbers are actual, real, abstract objects and therefore ...

6 мар. 2014 г. · "True arithmetic" is a chimera; it just means "All and only the statements about natural numbers that are true", without any formal means of enumerating such ...

24 июл. 2013 г. · Models of true arithmetic are integer parts of nice real closed fields. Authors:Merlin Carl.

We show that the theory of the partial order of computably enumerable equivalence relations (ceers) under computable reduction is 1-equivalent to true ...

We demonstrate that each model of true arithmetic is an integer part of a real closed exponential field that is elementarily equivalent to the real numbers ...

We demonstrate that each model of true arithmetic is an integer part of an exponential real closed field that is elementarily equivalent to the real numbers ...

7 апр. 2018 г. · Usually we use the notation TA to denote the theory of true arithmetic, meaning the theory of the standard model of arithmetic ⟨N,+,⋅,0,1,<⟩ ... Does $\text{ACA}_0$ + True Arithmetic prove the well-foundedness ... Is TA (true arithmetic) interpretable in a recursively axiomatizable ... Is ACA0 + 'True Arithmetic exists' interpretable in ACA? - MathOverflow Is the theory ZF(C) + the True Arithmetic consistent? - MathOverflow Другие результаты с сайта mathoverflow.net

On the available partial respects in which an axiomatization for real valued arithmetic can recognize its consistency.Dan E. Willard - 2006 - Journal of ...

Theorem 1. The complexity of the first order theory of the Aj-enumeration degrees in the language {<} is that of true arithmetic.