The Simulacra Mundi website is about the quest for understanding of physical reality. The quest has started in complete darkness. Initially the prospects seemed bleak but gradually the light of reason revealed the path just like the light in the picture above reveals a hidden text. Each entry of this blog describes a part of this process. You can start from the beginning or jump straight to the topic you are interested in.

Most chapters rely on the concepts introduced in earlier posts. If you are not familiar with a concept or simply forgot, just follow the links to the glossary or to the relevant section. The links are indicated with underlining or blue colour. If, on the other hand, you see a burgundy coloured word or symbol, tap it, or hover the cursor over it to see a tooltip stating the word or symbol’s definition.

  • Models of reality

    Models of reality

    In this chapter it is specified what aspect of reality we will be interested in and how we will go about its exploration.

  • Reasoning

    Reasoning

    To be able to reason, we need to find the rules which will allow us to eliminate ambiguity. That’s what principles of logic are designed to do and that’s the subject of this chapter.

  • Natural numbers

    Natural numbers

    Natural numbers are used to count indivisible objects e.g. fingers. Let’s take a look how we can handle them in the most effective way.

  • Whole numbers

    Whole numbers

    For natural numbers subtraction doesn’t always makes sense. In this chapter we will investigate how to solve this problem and why it is worthwhile to do so.

  • Rational numbers

    Rational numbers

    Number types described in previous chapters are useful for describing the world of indivisible things. Here we will extend our system to be able to handle divisible objects as well.

  • Real numbers

    Real numbers

    In the previous chapter it was demonstrated that not every number is rational. It’s time to delve deeper into the nature of irrational.

  • Geometry in one dimension

    Geometry in one dimension

    In one of the previous chapters, a thought experiment was introduced. It involved walking along a straight line, yet it wasn’t specified what a straight line actually is. It’s about time to rectify that.

  • Geometry in two dimensions

    Geometry in two dimensions

    In this chapter we will search for a way to numerically describe locations of points in two-dimensional space and study the properties of space itself.

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