To move forward steadily and with effort, or to create something by heating and shaping metal with a hammer.
From Old French forger meaning 'to work metal' from Latin fabrica meaning 'workshop.' The verb developed a second sense of moving forward with determination, possibly influenced by the idea of pushing through resistance.
When a horse 'forges' through snow, it's the same word as when a blacksmith forges steel—both involve pushing hard against resistance and transformation.
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