Of reasoning: based on something that is not true, or not based on solid reasons or facts; unfounded; without a basis.
baseless accusations; baseless rumors
Without a physical base.
More significant still — and most obviously in debt to the painterly imagination — this floating statue is the first baseless statue ever made. It is as though Bernini had taken Michelangelo's 'Pieta' and made it fly.
From base + -less.
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