MacBook Air doesn’t show a disk to select when trying to reinstall OS X
MacBook Air doesn’t show a disk when asked to select when trying to install OS X Yosemite.
iPhone 11 Pro Max, iOS 17
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The solution is to boot macOS Recovery again and use Disk Utility to completely erase the storage device.
Follow these instructions: Erase and reformat a storage device in Disk Utility on Mac - Apple Support.
Pay attention to Steps 3 and 4: Be sure to choose View > Show All Devices. The "Device" in its context refers to the entire storage device, meaning not a volume or partition subordinate to that device.