[microresearch]
We explore the relation between gravity and entanglement using mathematical logic (Modus Ponens).
https://doi.org/10.31219/osf.io/m2dca
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 58, 2019 [CF]
Tag: propositional logic
Hilbert-style proof Calculus for Propositional Logic in ABC notation
[microreview]
All nine axioms and a single inference rule of logic (Modus Ponens) within the Hilbert axiomatic system are presented using capital letters (ABC) in order to familiarize the beginner student in hers/his first contact with the topic.
https://doi.org/10.31219/osf.io/jd3gp
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 57, 2019 [CE]
The Incorrectness Lemma
[original idea]
We address two questions. Is there an Incorrectness Lemma? Is this system complete?
https://doi.org/10.31219/osf.io/f8p7k
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 53, 2019 [CA]
A pedagogical approach to convert “if and only if” to “if then”
[microreview]
We show, using the equivalence of some formulas, that (A iff B) ~ ((A v B) => (A ^ B)).
https://doi.org/10.31219/osf.io/xhzc9
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 52, 2019 [BZ]
Generalized Pierce law
[microresearch]
An extension of the Pierce law is presented, considering n “if then” connectives.
https://doi.org/10.31219/osf.io/6fbgp
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 50, 2019 [BX]
