Are you using a hosting company?? Looks like they've disabled some PHP functions used in the install script
Might have to check it out with their admins or try one of the Moodle partners
Yes, in this case, I am using shared server hosting. I can email them a request to activate certain PHP functions. Below are the functions that I extrated from the error message.
assert_options
assert
mysql_pconnect
fopen
ini_get
ini_get_all
ini_alter
ini_set
get_current_user
get_defined_constants
get_include_path
php_ini_scanned_files
php_uname
phpcredits
restore_include_path
set_include_path
set_time_limit
version_compare
zend_version
getmypid
getmyuid
getmygid
assert_options
assert
mysql_pconnect
fclose()
fopen
fwrite
fread
file
fpassthru
file
mail
opendir
readdir
closedir()
mail
Anything else I need to include in my request?