In a dependable, trustworthy manner that can be counted on consistently. Describes actions or information that are accurate and consistent over time.
From French 'relier' (to bind together) via 'reliable', with the adverbial suffix '-ly'. The concept evolved from physical binding to metaphorical dependability, entering English in the 16th century.
The etymology of 'reliably' reveals a beautiful metaphor - something reliable is literally something that 'binds back' to you, like a rope that won't break under pressure. This connection between physical binding and trust shows up in many languages, suggesting it's a fundamental human way of understanding dependability.
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