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One can think of any given axiom system as being like a…

“One can think of any given axiom system as being like a computer with a certain limited amount of memory or processing power. One could switch to a computer with even more storage, but no matter how large an amount of storage space the computer has, there will still exist some tasks that are…” quote by Terence Tao
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“One can think of any given axiom system as being like a computer with a certain limited amount of memory or processing power. One could switch to a computer with even more storage, but no matter how large an amount of storage space the computer has, there will still exist some tasks that are beyond its ability.”

Terence Tao

About This Quote

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

Even infinite resources cannot solve every problem; limits persist.

In simple terms: Limits remain despite more resources.

Key Takeaway

Recognize inherent limits.

Themes

limits complexity computational theory

Mood

analytical thought‑provoking

Type

scientific educational

When to use this quote

  • technology
  • education
  • research planning
  • policy making

Key Concepts

information theory algorithmic bounds mathematical logic

Questions to Reflect On

  • What problems seem unsolvable to you?
  • How do you decide where to allocate resources?
A Different Perspective

Some problems may be unsolvable in practice.

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