In both senses, an axiom is any mathematical statement that serves as a starting point from which other statements are logically derived.

The traditional image of a dinosaur as a slow, lumbering creature is logically derived from what we understand about great body size and weight.

Neither the old nor the new analogy is logically derived; the former is rooted in habit, the latter emerges by a flash of insight.

These restlessness logically derived to interest in spiritism.

But the entire success of the scientific enterprise has depended on an insistence that these gaps be filled by natural explanations, logically derived from confirmable evidence.

But far from being logically and mechanically derived from the 'needs' of capitalist accumulation, state policies are the outcome of very complex and contradictory processes.

Though the architects disagreed on different aspects of the design, they were unanimous in accepting the fundamental premise that a building's forms could be logically derived from its functions.

This structure was derived logically from the prior existence of the Agreement with Álava.

Believing the site to have an exceptional view of the both Tillamook Bay and the Pacific Ocean, the new town's name was logically derived from both.

While incapable of malice, the Cyclan are thoroughly ruthless and willing to sacrifice individuals or worlds to their logically derived vision of the greater good.