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Yet there have been and still are mathematicians and…

“Yet there have been and still are mathematicians and philosophers who doubt whether the whole universe, or to speak more widely, the whole of being, was only created in Euclid's geometry. They even dare to dream that two parallel lines, which according to Euclid can never meet on earth, may meet…” quote by Fyodor Dostoyevsky
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““Yet there have been and still are mathematicians and philosophers who doubt whether the whole universe, or to speak more widely, the whole of being, was only created in Euclid's geometry. They even dare to dream that two parallel lines, which according to Euclid can never meet on earth, may meet somewhere in infinity.””

Fyodor Dostoyevsky

About This Quote

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

Some thinkers question whether Euclidean geometry fully describes reality, imagining that parallel lines might intersect in an infinite realm.

In simple terms: Questioning basic assumptions can reveal deeper possibilities.

Key Takeaway

Explore beyond conventional frameworks.

Themes

philosophy mathematics infinity

Mood

curious speculative

Type

philosophical inspirational

When to use this quote

  • academic research
  • theoretical physics
  • creative problem solving

Key Concepts

metaphysics critical thinking

Questions to Reflect On

  • What would a non‑Euclidean universe look like?
  • How does questioning fundamentals spark innovation?
A Different Perspective

Euclidean limits may be too restrictive.

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