A great part of its theories derives an additional charm…
“A great part of its theories derives an additional charm from the peculiarity that important propositions, with the impress of simplicity on them, are often easily discovered by induction, and yet are of so profound a character that we cannot find the demonstrations till after many vain attempts; and even then, when we do succeed, it is often by some tedious and artificial process, while the simple methods may long remain concealed.”
About This Quote
This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.
The quote observes that simple propositions often seem obvious yet require complex proofs, and simple methods may stay hidden despite their elegance.
In simple terms: Simple ideas can be hard to prove, and easy methods may stay hidden.
Key Takeaway
Seek simple insights, but expect rigorous proof.
Themes
mathematics
philosophy
discovery
complexity
Mood
reflective
analytical
Type
philosophical
educational
When to use this quote
- research
- teaching
- problem solving
- academic study
Key Concepts
simplicity
induction
proof difficulty
methodology
Questions to Reflect On
- Why do simple truths elude proof?
- How can we uncover hidden simple methods?
A Different Perspective
Simple methods may be overlooked; proof can be tedious.