(AU): Ø-ing is right if and only if Ø-ing is optimific.
(RU1): Ø-ing is right if and only if Ø-ing is in accordance with a set of rules conformity to which is optimific.
(RU2): Ø-ing is right if and only if Ø-ing is in accordance with a set of rules general conformity to which is optimific.
1. Ø is right if and only if Ø treats everyone as equals.
2. Ø treats everyone as equals if and only if Ø takes into account everyone's preferences equally.
3. Ø takes into account everyone's preferences equally if and only if Ø maximizes overall utility.Therefore,
4. Ø is right if and only if Ø maximizes overall utility.
1'. Ø is right if and only if Ø maximizes utility.
2'. Ø maximizes utility if and only if Ø takes everyone's preferences into account equally.
3'. Ø takes everyone's preferences into account equally if and only if Ø treats people as equals.Therefore,
4'. Ø is right if and only if Ø treats people as equals.
1. Y is the good if and only if Y is desirable as an end in itself.
2. Only pleasure is desirable as an end in itself.
3. Therefore, only pleasure is Y.