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Noûs, Volume 59, Issue 4, Page 851-872, December 2025.Abstract A new argument is offered which proceeds through epistemic possibility (for all S knows, p), cutting a trail from modality to Millianism, the controversial thesis that the semantic content of a proper name is simply its bearer. New definitions are provided for various epistemic modal notions.
Nathan Salmón
wiley +1 more source
On the Goldbach Conjecture in Arithmetic Progressions
Rocky Mountain Journal of Mathematics, 2006 For integers \(k\), \(b_1\), \(b_2\) and \(b_3\) with \(k\geq1\) and \((b_1b_2b_3,k)=1\), write \(J(N)=J(N;k,b_1,b_2,b_3)\) for the number of representations of \(N\) in the form \(N=p_1+p_2+p_3\) with primes \(p_i\) satisfying \(p_i\equiv b_i\pmod k\) for \(i=1\), 2, 3.
Bauer, Claus, Yonghui, Wang
openaire +3 more sources
A remark on the strong Goldbach conjecture
, 2018 Under the assumption that $\sum \limits_{n\leq N}\Upsilon(n)\Upsilon(N-n)>0$, we show that for all even number $N>6$ \begin{align} \sum \limits_{n\leq N}\Upsilon(n)\Upsilon(N-n)=(1+o(1))K\sum \limits_{p|N}\sum \limits_{\substack{n\leq N/p}}\Lambda_{0}(n)\
Agama, Theophilus
core
Refined Goldbach conjectures with primes in progressions
, 2018 We formulate some refinements of Goldbach's conjectures based on heuristic arguments and numerical data. For instance, any even number greater than 4 is conjectured to be a sum of two primes with one prime being 3 mod 4. In general, for fixed $m$ and $a,
Martin, Kimball
core
THE ORDER OF NUMBERS AND THE GOLDBACH CONJECTURE
SSRN Electronic Journal, 2023 Following will be regard the potentiality of order of numbers for the ternary Goldbach conjecture, where he claimed that “every number… is an aggregate of three prime numbers”. The order of numbers illustrates the possible combinations of prime numbers for the generation of all natural (integer) numbers.
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, 2012 Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.
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A progress on the binary Goldbach conjecture
, 2022 In this paper, we develop the method of circle of partitions and associated statistics. As an application, we prove conditionally the binary Goldbach conjecture. We develop series of steps to prove the binary Gold-bach conjecture in full. We end the paper by proving the binary Goldbach conjecture for all even numbers exploiting the strategies outlined.
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Unifying colors by primes. [PDF]
Light Sci Appl, 2023 Li HL, Fang SC, Lin BMT, Kuo W.
europepmc +1 more source
Studia Historiae ScientiarumThe article is devoted to two volumes of Leonhard Euler’s correspondence with mathematicians and other scientists. The first of these volumes (in two parts) is devoted to correspondence with Christian Goldbach.
Stanisław Domoradzki +1 more
doaj