A quick workaround to check if the POST data is set:
<?php
$name = isset($_POST['name']) ? $_POST['name']: '';
$email = isset($_POST['email']) ? $_POST['email']:'';
$company = isset($_POST['company'])? $_POST['company']: '';
 //In PHP 7 you can do this:
$name = $_POST['name']?? '';
$email = $_POST['email']?? '';
$company = $_POST['company']?? '';
You can then do the validation:
if(empty($name)){
    echo 'Name is blank';
    exit;    
}elseif(empty($email) || !filter_var($email, FILTER_VALIDATE_EMAIL) === false){
  echo 'Email is invalid';
  exit;
}elseif(empty($company)){
 echo 'Company is blank'; 
 exit;   
}else{
   $name =  filter_var ($_POST['name'], FILTER_SANITIZE_STRING);
   $email =  filter_var ($_POST['email'], FILTER_SANITIZE_EMAIL);
   $company = filter_var ($_POST['company'], FILTER_SANITIZE_STRING);
   $fp = fopen("Daten.txt", "a");
   $savestring = $name . "\r\n" . $email . "\r\n" . $company . "\r\n" . "\r\n";
   fwrite($fp, $savestring);
   fclose($fp);
   echo "Thank you ... please stand by ...
 <meta http-equiv='Refresh' content='1; URL=.\play\index.html'>";
 }
?>
Lastly I strongly recommend to check the type of filters here