大学本科高等代数课上关于集合的定义也是错的...

可惜在高代课上讲集合，仍然把具有相同特征的东西的总体看作集合而不是类（class）。它也更没有讲什么情况下这些相同特征的东西不能构成一个集合。要是它能提一下集合论的谬论，然后提及一下zfc公理系统就更好了。其实它不讲影响也不大，不过是导致学生错误的数学理解罢了。

————————————————————

本文原于2021年3月12日 09:11发布于QQ空间

评论：我不觉得现在的大学数学教学是要让学生理解什么

PS：关于集合的错误定义从高中的数学教材就开始了，想不到这一直延续到本科，详见高中数学教材对集合的定义是错误的！正确的解释应该是这样...

Add a comment

Comments

There is no comment, let's add the first one.

弦圈热门内容

A short introduction to category theory

This short note originated from a short talk of basic category theory in 2022. Category theory was first introduced by Samuel Eilenberg and Saunders Mac Lane in the 20th century. It rapidly became a strong tool in almost all domains of mathematics. Category theory studies the abstract structures of different mathematical objects, and it also has applications on computer science, including AI.1. CategoriesIn this section, we will first lay out the general definition of categories, then we give so ...

npm run dev Error: The specified module @css-inline could not be found

I'm using Windows 10, my Node.js version is v20.11.1, and my Nuxt version is 3.11.1. After reseting my Window 10 system,  the following error occurred when I add Nuxt SEO module in nuxt.config.ts and enter npm run dev in my nuxt project.Error: The specified module could not be found. \\?\D:\path\node_modules\@css-inline\css-inline-win32-x64-msvc\css-inline.win32-x64-msvc.nodeThe error did not occur when I remove Nuxt SEO module. Moreover, running npm idid not solve the error.Finally, I solv ...

How to split views.py to several smaller files in Django

When your views.py is too large, it becomes much more difficult to manage your code. So you might want to split views.py into several subviews, each of which contains a single sort of views.To split views.py, you could follow the following steps. Your original views.py might look like this:import ... def view1(request): pass def view2(request): passNow, create a new folder subviews aside with views.py , i.e. /Django/mysite/MyAPI/subviews. Next, create __init__.py, viewsa.py, and viewsb. ...

Vue - Go to anchor smoothly without changing url

In Vue.js, we can define an anchor by RouterLink or HTML tag <a> , while in Nuxt.js, we can additionally use NuxtLink which is similar to RouterLink .<a href="#content">My Link</a> <RouterLink to="#content">My Link</RouterLink> <NuxtLink to="#content">My Link</NuxtLink>However, on loading a page, the above ways would change the url which makes it slow to go to #content . To speed up anchor link and not change the url, there are two ways.The first way is ...

An introduction to anti-homomorphisms of groups

It is known that the homomorphisms between group preserve products. However, the anti-homomorphisms between groups invert products in contrast to the homomorphisms. In this article, we briefly introduce the notion of anti-homomorphisms of groups, and we will study anti-homomorphisms of rings in the next article.1. Anti-homomorphisms of groups.In this section, all groups are not necessarily abelian. For simplicity, we will simply call anti-homomorphism instead of anti-homomorphism of groups.Defin ...

Manitori