....It is much easier to take the position that my self is greater than the sum of the aggregates; which is not bound by their limitations.
This is not something the Buddha said. The Buddha might say that form is not my self (ditto with the rest of the aggregates). We are already incorporeal but clinging to the aggregates and believing that we consist of aggregates (sakkaya) has made it seem otherwise for us. It a way, we have to give up the illusion of being particulate (khandha).
Walpola Rahula's What The Buddha Taught
Chapter 6 The Doctrine of No-Soul: Anatta
It is therefore curious that recently there should have been a vain attempt by a few scholars to smuggle the idea of self into the teaching of the Buddha, quite contrary to the spirit of Buddhism. These scholars respect, admire, and venerate the Buddha and his teaching. They look up to Buddhism. But they cannot imagine that the Buddha, whom they consider the most clear and profound thinker, could have denied the existence of an Ātman or Self which they need so much. They unconsciously seek the support of the Buddha for this need for eternal existence – of course not in a petty individual self with small s, but in the big Self with a capital S.
It is better to say frankly that one believes in an Ātman or Self. Or one may even say that the Buddha was totally wrong in denying the existence of an Ātman. But certainly it will not do for any one to try to introduce into Buddhism an idea which the Buddha never accepted, as far as we can see from the extant original texts.
Religions which believe in God and Soul make no secret of these two ideas; on the contrary, they proclaim them, constantly and repeatedly, in the most eloquent terms. If the Buddha had accepted these two ideas, so important in all religions, he certainly would have declared them publicly, as he had spoken about other things, and would not have left them hidden to be discovered only 25 centuries after his death.
People become nervous at the idea that through the Buddha’s teaching of Anatta, the self they imagine they have is going to be destroyed. The Buddha was not unaware of this.
A bhikkhu once asked him: ‘Sir, is there a case where one is tormented when something permanent within oneself is not found?’
‘Yes, bhikkhu, there is,’ answered the Buddha. ‘A man has the following view: “The universe is that Ātman, I shall be that after death, permanent, abiding, ever-lasting, unchanging, and I shall exists as such for eternity”. He hears the Tathāgata or a disciple of his, preaching the doctrine aiming at the complete destruction of all speculative views … aiming at the extinction of “thirst”, aiming at detachment, cessation, Nirvāṇa. Then than man thinks: “I will be annihilated, I will be destroyed, I will be no more.” So he mourns, worries himself, laments, weeps, beating his breast, and becomes bewildered. Thus, O bhikkhu, there is a case where one is tormented when something permanent within oneself is not found.’
Elsewhere the Buddha says: ‘O bhikkhus, this idea that I may not be, I may not have, is frightening to the uninstructed world-ling.’
Those who want to find a ‘Self’ in Buddhism argue as follows: It is true that the Buddha analyses being into matter, sensation, perception, mental formations, and consciousness, and says that none of these things is self. But he does not say that there is no self at all in man or anywhere else, apart from these aggregates.
This position is untenable for two reasons:
One is that, according to the Buddha’s teaching, a being is composed only of these Five Aggregates, and nothing more. Nowhere has he said that there was anything more than these Five Aggregates in a being.
The second reason is that the Buddha denied categorically, in unequivocal terms, in more than one place, the existence of Ātman, Soul, Self, or Ego within man or without, or anywhere else in the universe. Let us take some examples.....
....In the Alagaddūpama-sutta of the Majjhima-nikāya, addressing his disciples, the Buddha said: ‘O bhikkhus, accept a soul-theory (Attavāda) in the acceptance of which there would not arise grief, lamentation, suffering, distress and tribulation. But, do you see, O bhikkhus, such a soul-theory in the acceptance of which there would not arise grief, lamentation, suffering, distress and tribulation?’
‘Certainly not, Sir.’
‘Good, O bhikkhus. I, too, O bhikkhus, do not see a soul-theory, in the acceptance of which there would not arise grief, lamentation, suffering, distress and tribulation.’
If there had been any soul-theory which the Buddha had accepted, he would certainly have explained it here, because he asked the bhikkhus to accept that soul-theory which did not produce suffering. But in the Buddha’s view, there is no such soul theory, and any soul-theory, whatever it may be, however subtle and sublime, is false and imaginary, creating all kinds of problems, producing in its train grief, lamentation, suffering, distress, tribulation and trouble.
Continuing the discourse the Buddha said in the same sutta:
‘O bhikkhus, when neither self nor anything pertaining to self can truly and really be found, this speculative view: “The universe is that Ātman (Soul); I shall be that after death, permanent, abiding, ever-lasting, unchanging, and I shall exist as such for eternity” – is it not wholly and completely foolish?’
Here the Buddha explicitly states that an Ātman, or Soul, or Self, is nowhere to be found in reality, and it is foolish to believe that there is such a thing.