Papal Infallibility

For whosever exalteth himself shall be abased; and he that humbleth himself shall be exalted.
Gospel of Luke 14:11

In the First Vatican Council of 1870, the Roman Catholic Church produced their declaration of Papal infallibility, which "is the dogma in Catholic theology that, by action of the Holy Spirit, the Pope is preserved from even the possibility of error[1] when he solemnly declares or promulgates to the Church a dogmatic teaching on faith or morals as being contained in divine revelation, or at least being intimately connected to divine revelation."(Wiki)

Words can be the most obscure and treacherous of substances, so first what is signified by 'the Church' here, which declared itself infallible, is not some organic spiritual entity but certain human beings acting for what they perceive as a common goal. The psychological fact of a perceived common goal among individuals does not of course mean that the common cause is an independent living being, such as a 'nation state' or here 'Church'.
And so the existential nature of what occurred here was that certain individuals declared themselves infallible.
"In certain matters" qualifies a constraining and reasonable voice. But what is it to be infallible and "preserved from even the possibility of error"? It is to be tautologically utterly perfect; to be God, regardless of whether 'God' exists. This absolute perfection is the nature only of such an absolute divinity, and not even that of a god, such as exists within the pantheon of the Greeks' wilful, quarrelsome deities. No, infallibility is the preserve of only an absolute divinity, in whose mind life is born, preserved and may dissolve at will- to digress a little into such a nature.

Back to the papacy's declaration of infallibility. One cannot choose one's moments of infallibility. To be infallible is not a quantifiable state, applicable only at certain moments. To declare oneself as infallible at certain times requires infallibility in the first place to produce the infallible declaration.
And this is where the crucial aspect of Papal Infallibility lies. As shown, for a flawed entity to pronounce one's occasional, yet absolute perfection is an innate absurdity. Only a perfect being could know itself to be perfect. So what is going on? To understand requires treating the declaration specifically as a statement of logic, and treating it not simply as absurd reasoning, but accepting it as wholly true and justified.
That the declaration of their infallibility is, as it logically must be, an emanation of their infallible nature. They have, to use appropriate terminology, set themselves on the throne of existence, exalted themselves to the pinnacle of creation. They are God. And rather than dwelling humbly within a Christian brotherhood, they are absolute rulers over a hierarchy of lesser beings, who exist beneath them.

Whether the full implications of Papal Infallibility were understood by those individuals who pronounced it is largely irrelevant; that is, whether it was a fully conscious, or somewhat unconscious act. Either way, it is the real meaning of the declaration, and its subsequent subconscious life-force as an idea, though these were not, and are not, stupid people, and it is hard to see that they could not have understood the implications of the declaration of their infallibility.