The Deranged Mathematician: The Good, the Bad, the Set…
0 reactions
The Deranged Mathematician: The Good, the Bad, the Set Theoretic
Set theory has a slightly odd place in mathematics education: it is essentially non-existent prior to a certain point (often something like an introduction to proofs class), and then *completely* ubiquitous. It is the framework that we use to express pretty much *everything* in modern mathematics. In this article, I have two goals:
1. show the basics of set theory and explain *why* it has this central position, and
2. show the *drawbacks* of using set theory as the central organizing principle.
For example, have you ever realized that, going by the standard set-theoretic definitions, the natural numbers are *not* a subset of the integers?
Read the full post (for free) on Substack: The Good, The Bad, The Set Theoretic https://open.substack.com/pub/derangedmathematician/p/the-good-the-bad-the-set-theoretic?r=74r0nc&utm_campaign=post&utm_medium=web&showWelcomeOnShare=true .
#science
Set theory has a slightly odd place in mathematics education: it is essentially non-existent prior to a certain point (often something like an introduction to proofs class), and then *completely* ubiquitous. It is the framework that we use to express pretty much *everything* in modern mathematics. In this article, I have two goals:
1. show the basics of set theory and explain *why* it has this central position, and
2. show the *drawbacks* of using set theory as the central organizing principle.
For example, have you ever realized that, going by the standard set-theoretic definitions, the natural numbers are *not* a subset of the integers?
Read the full post (for free) on Substack: The Good, The Bad, The Set Theoretic https://open.substack.com/pub/derangedmathematician/p/the-good-the-bad-the-set-theoretic?r=74r0nc&utm_campaign=post&utm_medium=web&showWelcomeOnShare=true .
#science
| 3,000 mlx | |
| 4 | |
| 0 |