AbstractIn an extensive category satisfying a mild chain condition, the arithmetic of multiplication and addition (cartesian product and coproduct) of objects is shown to be very close to that of natural numbers. Examples of such categories abound, e.g. in algebraic geometry
AbstractThis note sets down some facts about natural number objects in the Dialectica category Dial2...
This thesis is organized into two independent parts. In the first part, we extend the recent work on...
AbstractWhen a structure or class of structures admits an unbounded induction, we can do arithmetic ...
AbstractIn an extensive category satisfying a mild chain condition, the arithmetic of multiplication...
AbstractIn many everyday categories (sets, spaces, modules, etc.) objects can be both added and mult...
The Erdös sum of reciprocals conjecture is the statement that whenever A is a set of positive intege...
We will survey some of the major directions of research in arithmetic combinatorics and their conn...
Neutrices and external numbers were proposed as models of orders of magnitude within nonstandard ana...
Abstract: "We show that a number-theoretic formula is a theorem of First-Order Arithmetic if and onl...
AbstractIn recent years, there has been considerable discussion as to the appropriate definition of ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractWe consider various (free) completion processes: the exact completion and the regular comple...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
While discussing the sum of consecutive powers as a result of division of two binomials W.W. Sawyer ...
AbstractThis note sets down some facts about natural number objects in the Dialectica category Dial2...
This thesis is organized into two independent parts. In the first part, we extend the recent work on...
AbstractWhen a structure or class of structures admits an unbounded induction, we can do arithmetic ...
AbstractIn an extensive category satisfying a mild chain condition, the arithmetic of multiplication...
AbstractIn many everyday categories (sets, spaces, modules, etc.) objects can be both added and mult...
The Erdös sum of reciprocals conjecture is the statement that whenever A is a set of positive intege...
We will survey some of the major directions of research in arithmetic combinatorics and their conn...
Neutrices and external numbers were proposed as models of orders of magnitude within nonstandard ana...
Abstract: "We show that a number-theoretic formula is a theorem of First-Order Arithmetic if and onl...
AbstractIn recent years, there has been considerable discussion as to the appropriate definition of ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractWe consider various (free) completion processes: the exact completion and the regular comple...
The sum-product problem of Erdos and Szemeredi asserts that any subset of the integers has many prod...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
While discussing the sum of consecutive powers as a result of division of two binomials W.W. Sawyer ...
AbstractThis note sets down some facts about natural number objects in the Dialectica category Dial2...
This thesis is organized into two independent parts. In the first part, we extend the recent work on...
AbstractWhen a structure or class of structures admits an unbounded induction, we can do arithmetic ...
DOI
Add to ORKG