Deductive-reasoning Quote by H.G. Wells
““His idea was to begin with those broad truths that must underlie all conceivable mental existences and establish a basis on those. The great principles of geometry, to begin with. He proposed to take some leading proposition of Euclid's, and show by construction that its truth was known to us, to demonstrate, for example, that the angles at the base of an isosceles triangle are equal, and that if the equal sides be produced the angles on the other side of the base are equal also, or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should demonstrate our possession of a reasonable intelligence.””
About This Quote
Source Book: The Outline of History by H.G. Wells, 1920
He argues that establishing fundamental geometric truths demonstrates rational intelligence and underpins all mental concepts.
In simple terms: Showing basic geometry proves we have reasonable intelligence.
Key Takeaway
Use basic principles to validate deeper ideas.
Themes
logic
reason
education
science
philosophy
Mood
analytical
inquisitive
Type
philosophical
educational
When to use this quote
- teaching geometry
- building curricula
- philosophical debates
- scientific reasoning
Key Concepts
geometry
epistemology
foundations of knowledge
Questions to Reflect On
- How do basic truths shape complex understanding?
- Can non‑Euclidean ideas also prove intelligence?
A Different Perspective
Relies on acceptance of Euclidean geometry, which may not hold in non‑Euclidean contexts.
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