Skip to content

Any argument where one supposes an arbitrary choice to be…

“Any argument where one supposes an arbitrary choice to be made an uncountably infinite number of times ...[is] outside the domain of mathematics.” quote by Emile Borel
Download Open image
“Any argument where one supposes an arbitrary choice to be made an uncountably infinite number of times ...[is] outside the domain of mathematics.”

Emile Borel

About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

Choosing an arbitrary option infinitely often exceeds mathematical rigor, making arguments ill-defined.

In simple terms: Infinite arbitrary choices are mathematically invalid.

Key Takeaway

Stay within defined mathematical domains.

Themes

mathematics logic philosophy infinity

Mood

thoughtful inquisitive

Type

philosophical educational

When to use this quote

  • formal proofs
  • theoretical research
  • educational curricula

Key Concepts

Set theory countability axiom of choice

Questions to Reflect On

  • What are limits of formalism?
  • How to handle infinite choices in practice?
A Different Perspective

Practical problems may require approximations beyond strict math.

★ ★ ★ ★ ★ No ratings yet

More by Emile Borel

Explore all 5 Emile Borel quotes

More Arbitrary quotes

Browse all 529 Arbitrary quotes