PHP - array value present but validation is not skipped

I have problem when I want to validate parameter values from the array I am pulling from the request:

    $content = json_decode($request->getContent(), true);
    $name        = $content['name'];
    $address     = $content['address'];

    if (!isset($name) && empty($name)) {
          echo "Name must be sent.");
    }
    if (!isset($address) && empty($address)) {
        echo "Address must be sent;
    }

Maybe just empty() would be enough but it's not just $var as I want to check if that is not an empty value in the array.

When dump() the content, I get:

array:2 [
   "name" => "John"
   "address" => "Street 007"
 ]

From some reason validation enters in if and returns echo message evan if value is present