one or some or every or all without specification
"give me any peaches you don't want"
"not any milk is left"
"any child would know that"
"pick any card"
"any day now"
"cars can be rented at almost any airport"
"at twilight or any other time"
"beyond any doubt"
"need any help we can get"
"give me whatever peaches you don't want"
"no milk whatsoever is left"
Whatever.
"There is no whatsoever reason to believe he will arrive on time."
whatever
"There was no evidence whatsoever to support his claim that he saw anything."
Whatsoever comes from Middle English and originally combined the words what with the intensifiers so and ever. It traveled into modern usage to mean "to any extent" or "at all," emphasizing a total lack of restriction.