[white paper]
We show that we can choose a point in the plane such that the resulting windmill process with varying pivot uses each point of the plane infinitely many times.
https://doi.org/10.31219/osf.io/mwkaf
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 148, 2020 [FT]
[microresearch]
We discuss the dubbed term “logical loop” and it’s implication regarding provability in undecidable theorems.
https://doi.org/10.31219/osf.io/c5ezm
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 123, 2020 [ET]
[conjecture]
We elaborate a conjecture by applying the definition of Non-Axiomatic System [1] in Non-Classical Logic.
https://doi.org/10.31219/osf.io/h4f7p
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 2, Article 112, 2020 [EI]
[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
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Op. J. Math. Phys.
Volume 1, Article 58, 2019 [CF]
[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
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Op. J. Math. Phys.
Volume 1, Article 57, 2019 [CE]
[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
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Op. J. Math. Phys.
Volume 1, Article 53, 2019 [CA]
[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
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Op. J. Math. Phys.
Volume 1, Article 52, 2019 [BZ]
[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
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Op. J. Math. Phys.
Volume 1, Article 50, 2019 [BX]
[microreview]
We present a microversion of Gödel’s theorem.
https://doi.org/10.31219/osf.io/gphsk
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 1, Article 45, 2019 [BS]
[microresearch]
We propose a discussion on the non-Boolean mathematical object embedded in vacuously true sentences.
https://doi.org/10.31219/osf.io/8r3j2
Open Mathematics Collaboration
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Op. J. Math. Phys.
Volume 1, Article 35, 2019 [BI]
