Results 71 to 80 of about 5,644 (162)

Gödel’s Incompleteness Theorems and Physics

open access: yesPrincipia: An International Journal of Epistemology, 2011
This paper is a summary of a lecture in which I presented some remarks on Gödel’s incompleteness theorems and their meaning for the foundations of physics. The entire lecture will appear elsewhere.
Newton C. A. da Costa
doaj  

Computational reverse mathematics and foundational analysis [PDF]

open access: yes, 2018
Reverse mathematics studies which subsystems of second order arithmetic are equivalent to key theorems of ordinary, non-set-theoretic mathematics. The main philosophical application of reverse mathematics proposed thus far is foundational analysis, which
Eastaugh, Benedict
core   +1 more source

Modern perspectives in Proof Theory. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2023
Aguilera JP, Pakhomov F, Weiermann A.
europepmc   +1 more source

Positive logics. [PDF]

open access: yesArch Math Log, 2023
Shelah S, Väänänen J.
europepmc   +1 more source

Completeness of Infinitary Heterogeneous Logic

open access: yesNotre Dame Journal of Formal Logic
Given a regular cardinal $ $ such that $ ^{
openaire   +3 more sources

On some infinitary logics

open access: yesarXiv
We define a new class of infinitary logics $\mathscr L^1_{\kappa,\alpha}$ generalizing Shelah's logic $\mathbb L^1_\kappa$ defined in \cite{MR2869022}. If $\kappa=\beth_\kappa$ and $\alpha
Vaananen, Jouko, Velickovic, Boban
openaire   +3 more sources

Home - About - Disclaimer - Privacy