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In the discovery of lemmas the best aid is a mental…

“In the discovery of lemmas the best aid is a mental aptitude for it. For we may see many who are quick at solutions and yet do not work by method ; thus Cratistus in our time was able to obtain the required result from first principles, and those the fewest possible, but it was his natural gift…” quote by Proclus
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“In the discovery of lemmas the best aid is a mental aptitude for it. For we may see many who are quick at solutions and yet do not work by method ; thus Cratistus in our time was able to obtain the required result from first principles, and those the fewest possible, but it was his natural gift which helped him to the discovery.”

Proclus

About This Quote

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

True discovery stems from innate talent and methodical reasoning, not just quick solutions.

In simple terms: Discovery needs talent and method, not speed.

Key Takeaway

Cultivate deep reasoning and natural aptitude.

Themes

education methodology talent

Mood

inquisitive inspired academic

Type

philosophical educational

When to use this quote

  • math research
  • problem solving
  • educational design
  • personal development

Key Concepts

philosophy of mathematics cognitive skill

Questions to Reflect On

  • How can you balance intuition with method?
  • What habits develop deep mathematical thinking?
A Different Perspective

Relying solely on talent can ignore systematic study.

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