Occultism’s Attitude About Binary Identities

Many occult, pagan groups have illogical, biased, and negative views about duality and binary relationships. Occult groups, in general, tend to be overly emotional, resentful of authority not derived from some form of occultism they arbitrarily hold as a standard, insecure, and are uncomfortable around any narratives that do not fit their biases. There is an implicit attitude that people who do not share your views should not be in your space, and that people who make you feel uncomfortable should not be in your space. Furthermore, there is a tendency to justify this narrative by depicting other people who Read More

Western mysticism is closer to Dungeons and Dragons Than You Would Think

I wrote: Fantasy magic and “real” magic are closer than you think. Mathematically speaking, the Kabbalic tree of life is a tree in the same sense as a perk tree in Skyrim where the ontological basis doesn’t necessarily have to describe a vector of reality for prima facie, they are just “empty symbols” where they are given semantic meaning. To say it a different way, you can algorithmically traverse the tree of life whether or not you believe it to be real, so you can deduce that the relations are consistent and formulas derived from those relations are true regardless Read More

A Computational Introduction to Number Theory and Algebra

The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces). It also includes an introduction to discrete probability theory—this material is needed to properly treat the topics of probabilistic algorithms and cryptographic applications.

Applied Discrete Structures

This textbook contains the content of a two semester course in discrete structures, which is typically a second-year course for students in computer science or mathematics, but it does not have a calculus prerequisite. The material for the first semester is in chapters 1-10 and includes logic, set theory, functions, relations, recursion, graphs, trees, and elementary combinatorics. The second semester material in chapters 11-16 deals with algebraic structures: binary operations, groups, matrix algebra, Boolean algebra, monoids and automata, rings and fields.


SageMath is a computer algebra system with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, numerical analysis, number theory, calculus and statistics. SageMath is a free open-source mathematics software system licensed under the GPL. It builds on top of many existing open-source packages: NumPy, SciPy, matplotlib, Sympy, Maxima, GAP, FLINT, R and many more. Access their combined power through a common, Python-based language or directly via interfaces or wrappers. Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab.

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