Maths philosophy
- Pivot understanding about maths
Ontological: What is maths: Study about Mathematical Objects (numbers, geometric figures, theorems), Its objective existence Independent from human mind, euclideans gemoteric axiomization show its priori facticity/reality
Epistomological: How is maths knowledge acquired? How credible is it? How do we know that we know?
Methodological: How to know: How is the research of the knowledge done? Resolve maths problems, by what tools?
APOS and the 3 worlds of Mathematics
TO OBJECTIFY, encapsulate, abstractify process and procedure
Source: 「數學的三個世界」的運作模式及 其對數學思考教學的啟示
Trigger: Why are teachers thinking so fast, able to explain and manipulate abstract concept so easily, and yet understanding what I am talking about
Source: https://metaso.cn/s/7gqIRzg
The following contain a lot of mixed frameworks, do validate before using
