# lorem ipsum

culture: whatever happens before you get the job offer.
keywords: progress

# lorem ipsum

A given partition gives rise to a certain set of ratios, and a given set of ratios gives rise to a certain partition.
keywords: Mathematics

# What does ‘SaaS’ stand for?

It stands for ‘software as a service’.

keywords: subscription, cyberspace

# Let’s keep metric spaces at a distance.

I advocate introducing the notion of the general topological space cold-turkey, that is, without first considering metric spaces. True, metric spaces were, historically, the first topological spaces considered, but historical order is not necessarily pedagogical order.
keywords: teaching, priorities

# historical order versus pedagogical order

Historical order is not necessarily pedagogical order. For example, the only reason integration preceded differentiation is because the notation needed for differentiation was lacking. Another example is General Topology. Historically, metric spaces were the first topological spaces considered, but the student is best served by a cold-turkey presentation of the general topological space, leaving metric spaces as a footnote for the students to explore on their own. Indeed, some simple things discovered very late, such as the 6-People Theorem and Kaprekar’s constant, should be presented in elementary school.
keywords: Mathematics, Calculus

# arbitrary bouba, arbitrary kiki, rich structure: choose two

Case 1. arbitrary bouba, rich structure, restricted kiki: open entities.
Case 2. arbitrary kiki, rich structure, restricted bouba: closed entities.
Case 3. arbitrary bouba, arbitrary kiki, poor structure: extreme granularity (either extremely coarse-grained, or extremely fine-grained).
one possible interpretation: bouba = unions; kiki = intersections; structure = topology, with the archetypal example of an extremely coarse-grained topology being, of course, the indiscrete topology, and with the archetypal example of an extremely fine-grained topology being, of course, the discrete topology.
keywords: choices, General Topology, Point-Set Topology