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A Generalization of Martin's Axiom [PDF]

open access: yesIsrael Journal of Mathematics, 2015
We define the $\aleph_{1.5}$ chain condition. The corresponding forcing axiom is a generalization of Martin's Axiom and implies certain uniform failures of club--guessing on $\omega_1$ that don't seem to have been considered in the literature before ...
D. H. Fremlin   +15 more
core   +8 more sources

A realizability semantics for inductive formal topologies, Church's Thesis and Axiom of Choice [PDF]

open access: yesLogical Methods in Computer Science, 2021
We present a Kleene realizability semantics for the intensional level of the Minimalist Foundation, for short mtt, extended with inductively generated formal topologies, Church's thesis and axiom of choice.
Maria Emilia Maietti   +2 more
doaj   +5 more sources

In space fabrication of Janus base nano matrix for improved assembly and bioactivity [PDF]

open access: yesnpj Microgravity
Nanomaterials have a broad impact on both space and biomedical research but have never been produced in-space for regenerative applications. During the Axiom-2 (Ax-2) mission, our team completed the first-ever low Earth orbit (LEO) manufacturing of Janus
Anne Yau   +12 more
doaj   +2 more sources

Intracellular radar: Understanding γδ T cell immune surveillance and implications for clinical strategies in oncology

open access: yesFrontiers in Oncology, 2022
T cells play a key role in anticancer immunity, with responses mediated through a diversity of αβ or γδ T cell receptors. Although αβ and γδ T cells stem from common thymic precursors, the development and subsequent biological roles of these two subsets ...
Anne B. C. Cherry   +2 more
doaj   +1 more source

Martin's Maximum++ implies Woodin's axiom (*)

open access: yes, 2021
We show that Martin’s Maximum++ implies Woodin’s Pmax axiom (∗). This answers a question from the 1990’s and amalgamates two prominent axioms of set theory which were both known to imply that there are א2 many real numbers.
D. Asperó, R. Schindler
semanticscholar   +1 more source

Cubical Type Theory: A Constructive Interpretation of the Univalence Axiom [PDF]

open access: yesTypes for Proofs and Programs, 2015
This paper presents a type theory in which it is possible to directly manipulate n-dimensional cubes (points, lines, squares, cubes, etc.) based on an interpretation of dependent type theory in a cubical set model.
C. Cohen   +3 more
semanticscholar   +1 more source

An Axiom of True Courses Calculation in Great Circle Navigation

open access: yesJournal of Marine Science and Engineering, 2021
Based on traditional expressions and spherical trigonometry, at present, great circle navigation is undertaken using various navigational software packages. Recent research has mainly focused on vector algebra.
Mate Baric   +3 more
doaj   +1 more source

Understanding and ad hoc Explanation: A Case of Russell’s Reducibility Axiom [PDF]

open access: yesОмский научный вестник: Серия "Общество. История. Современность", 2022
The article examines the common interpretation of the axiom of reducibility in Principia Mathematica according to which the axiom cannot be considered as logical, which casts doubt on the success of the program of logicism.
V. V. Tselishchev, A. V. Khlebalin
doaj   +1 more source

The teaching on postulates in Kant’s lectures on philosophical theory of religion [PDF]

open access: yesКантовский сборник, 2015
“Lectures on Poelitz’s philosophical theory of religion” are one of the four surviving manuscripts of Kant’s lectures on rational theology. The Lectures include an introduction, two parts, and an appendix.
Kryshtop L. E.
doaj   +1 more source

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