“In formal logic, a contradiction is the signal of a defeat; but in the evolution of real knowledge it marks the first step in progress towards victory.”
1920s, Science and the Modern World (1925)
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Alfred North Whitehead 112
English mathematician and philosopher 1861–1947Related quotes

“The first step towards knowledge is to accept your own ignorance.”
Source: Curse of the Bane

“The man who realizes his ignorance has taken the first step toward knowledge.”
The Rosicrucian Cosmo-Conception (1909) Introduction

“If they know nothing of victory, they are at least spared the knowledge of defeat.”
Source: The Picture of Dorian Gray

Time and Individuality (1940)

Cosmic Religion : With Other Opinions and Aphorisms (1931) by Albert Einstein, p. 97; also in Transformation : Arts, Communication, Environment (1950) by Harry Holtzman, p. 138. This may be an edited version of some nearly identical quotes from the 1929 Viereck interview below.
1930s
Context: I believe in intuition and inspiration. … At times I feel certain I am right while not knowing the reason. When the eclipse of 1919 confirmed my intuition, I was not in the least surprised. In fact I would have been astonished had it turned out otherwise. Imagination is more important than knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution. It is, strictly speaking, a real factor in scientific research.

vassalité
Speech to the Senate (10 February 1912), quoted in David Robin Watson, Georges Clemenceau: A Political Biography (London: Eyre Methuen, 1974), p. 220.

No record of this specific remark exists prior to its use by a George W. Phillips, in an address to the fifth annual convention of the National Association of Life Underwriters (June 1894), reported in The Chronicle: A Weekly Journal, Devoted to the Interests of Insurance Vol. LIII (1894), p. 336 https://books.google.com/books?id=xoAoAAAAYAAJ&pg=PA335&dq=%22What+is+defeat?+Nothing+but+education.+Nothing+but+the+first+step+to+something+better.%22&hl=en&sa=X&ved=0ahUKEwiFiMan5KveAhWl6YMKHYV6C44Q6AEIdTAO#v=onepage&q=%22What%20is%20defeat%3F%20Nothing%20but%20education.%20Nothing%20but%20the%20first%20step%20to%20something%20better.%22&f=false
Misattributed

“Step follows step,
Hope follows Courage,
Set your face towards danger,
Set your heart on victory.”
Source: The Two Princesses of Bamarre