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Extensions Quote by Galileo Galilei

“Well, since paradoxes are at hand, let us see how it might be demonstrated that in a finite continuous extension it is not impossible for infinitely many voids to be found.” quote by Galileo Galilei
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“Well, since paradoxes are at hand, let us see how it might be demonstrated that in a finite continuous extension it is not impossible for infinitely many voids to be found.”

Galileo Galilei

About This Quote

Source Letter: Unknown, philosophical discussion

The author argues that within a finite continuous space, it is possible for infinitely many empty regions to exist, challenging intuition about continuity.

In simple terms: Infinite emptiness can exist in a finite space.

Key Takeaway

Consider paradoxes in mathematics and physics.

Themes

philosophy paradox infinity continuity

Mood

thoughtful inquisitive

Type

analytical philosophical

When to use this quote

  • theoretical physics
  • mathematical proofs
  • philosophical debates

Key Concepts

mathematics philosophy logic

Questions to Reflect On

  • Can infinite voids coexist with finite boundaries?
  • How do we reconcile intuition with formal proof?
A Different Perspective

Infinite concepts can be hard to grasp and may conflict with everyday experience.

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