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Simplification of modes of proof is not merely an indication of advance in our knowledge of a subject, but is also the surest guarantee of readiness for farther progress.
Lord Kelvin
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Interpretation

What this quote means

Simplifying proofs shows knowledge growth and readiness for future advancements.

Lord Kelvin's quote emphasizes that as we deepen our understanding of a subject, simplifying the methods of proof not only reflects our advanced knowledge but also indicates that we are prepared to make further progress in that area. This highlights the interplay between clarity in thought and the ability to push the boundaries of knowledge.

Themes

SimplificationKnowledgeProgressProofScience

In practice

Example use cases

In a lecture about scientific methods, one could use this quote to illustrate the importance of clarity in research.

More from Lord Kelvin

Do not imagine that mathematics is hard and crabbed, and repulsive to common sense. It is merely the etherealization of common sense.
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In science there is only physics; all the rest is stamp collecting.
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There is nothing new to be discovered in physics now. All that remains is more and more precise measurement.
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Let nobody be afraid of true freedom of thought. Let us be free in thought and criticism; but, with freedom, we are bound to come to the conclusion that science is not antagonistic to religion, but a help to it.
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I need scarcely say that the beginning and maintenance of life on earth is absolutely and infinitely beyond the range of all sound speculation in dynamical science. The only contribution of dynamics to theoretical biology is absolute negation of automatic commencement or automatic maintenance of life.
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