Classes Frege Quote by Jean Piaget
““for example, to see whether in the developing subject, i.e. the child, integers are directly constructed starting from class logic by biunivocal correspondence and the construction of a “class of equivalent classes” as Frege and B. Russell thought, or whether the construction is more complex and presupposes the concept of order.””
About This Quote
Debates whether children construct numbers directly from class logic or through more complex ordered concepts.
In simple terms: Child number concepts: direct or complex?
Key Takeaway
Explore foundational math cognition.
Themes
cognition
math
development
logic
Mood
inquisitive
academic
Type
question
exploration
When to use this quote
- classroom teaching
- curriculum design
- research studies
- parental guidance
Key Concepts
education
philosophy
Questions to Reflect On
- How do children learn numbers?
- What role does logic play?
A Different Perspective
Technical jargon heavy.
![“[Mathematics is] purely intellectual, a pure theory of forms, which has for its objects not the combination of quantities or their images, the numbers, but things of thought to which there could correspond effective objects or relations, even though such a correspondence is not necessary.” quote by Hermann Hankel](https://sms4smile.com/quotes/img-quotes/9d5/hermann-hankel-65857_combination_mathematics-is-purely-intellectual-a-pur_2076406.jpg)
