I wrote a poem: “A first research experience in mathematics”

A dark fog surrounds me.I see that something is there,but I can’t make it out.I squint and the edges begin to sharpen,but then are lost again to the darkness.My eyes are beginning to adjust now.For a moment I seem to recognize the shape,but then it is gone again.I reach out for it.It’s too far away.As…

The failure of manosphere terminology

The “manosphere” is a loose collection of movements, groups, and ideologies that are connected by certain views on masculinity, femininity, and relationships. It includes the Red Pill, the Black Pill (a more extreme version of the Red Pill), MGTOW (“Men Going Their Own Way”), incel subculture, pick-up artists (PUA), men’s rights activists (MRA), GamerGate, and…

How do you graph something in 4D?

This post is a brief explanation for non-experts of a graphing technique you might have seen but not completely understood. As always, we’ll go over some necessary concepts first. Complex numbers If we want to solve an equation like x2+1=0, we get stuck because we need to take the square root of -1, but no…

Thinking about infinit(ies): The math tea argument

Are there undefinable numbers? Numbers that exist, but that we can’t identify or talk about? According to one argument, there must be such numbers, since there must be more numbers than definitions. Preliminaries First, some background about infinity. We’ll start by talking about the foundations of math using set theory. A set is an unordered…

Osteopathy’s public image in the wake of widespread medical misinformation

A few weeks ago (late summer 2023), YouTuber Owen Morgan published a video about Sherri Tenpenny, a former doctor whose testimony before the Ohio legislature about COVID-19 vaccines went viral in 2021. Notably, Tenpenny has claimed that the vaccine was making people magnetic, that this had something to do with 5G wireless communication, and also…

Naïve realism and American folk science

The following post is a critique of a particular class of worldviews and perspectives. What is naïve realism and what do I mean by folk science? Realism is a class of philosophical positions that assert the bona fide existence of certain objects, or that certain objects have certain discernible properties. The definition is vague because…

The imperfect Chinese room (a note on the conditions for AI consciousness)

First, a note about the obvious racism: western philosophy has long used China as the prototypical example of the foreign. In the Chinese room thought experiment, the Chinese language is used because it is not understood by the person. Ultimately, Chinese is being likened to machine code, notoriously unreadable by humans. This is not the…

Why do unlikely things happen?

I find that people often seem to have trouble understanding how an unlikely event can occur. I have heard people ascribe supernatural causes to such events, and I have also heard people express incredulity at the event occurring at all. This is one of many ways in which probability can be counterintuitive. We usually expect…

Owner, chairperson, CEO, president: Who’s really in charge of the company? An expository essay on corporate governance in the US

In a publicly traded company, the shareholders actually own the company. The shareholders collectively appoint members of the board of directors according to an agreed upon process, and the board of directors controls the company for the shareholders. The board then hires C-level executives, including CEO (chief executive officer), to do the actual work of…