The terms of a language with one constant, one binary function, and one 4-ary function have an odd number of symbols

[white paper: pedagogical]

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We show using induction on complexity that all terms of a language with one constant, one binary function, and one 4-ary function have an odd number of symbols.

https://doi.org/10.31219/osf.io/ue32a

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 3, Article 231, 2021 [JB]

The power set has 2^n elements

[white paper: pedagogical]

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We prove that if A is a set consisting of n elements, then A has 2^n subsets.

https://doi.org/10.31219/osf.io/mptx7

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 3, Article 230, 2021 [JA]

Strong Induction

[knowledge base]

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STRONG INDUCTION and its underlying definitions are presented in this white paper (knowledge base).

https://doi.org/10.31219/osf.io/jysg5

Open Mathematics Collaboration

Op. J. Math. Phys.
Volume 3, Article 213, 2021 [IJ]