Tobias Dantzig - Intuition Quotes

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But how can we avoid the use of human language? The... symbol. Only by using a symbolic language not yet usurped by those vague ideas of space, time, continuity which have their origin in intuition and tend to obscure pure reason—only thus may we hope to build mathematics on the solid foundation of logic.

Tobias Dantzig

The progress of mathematics has been most erratic, and... intuition has played a predominant role in it.... It was the function of intuition to create new forms; it was the acknowledged right of logic to accept or reject these new forms, in whose birth in had no part.... the children had to live, so while waiting for logic to sanctify their existence, they throve and multiplied.

Tobias Dantzig