One of the foundations of science is the presumption, the axiom or hypothesis, that the universe and nature are knowable. This was not always believed, and today it is still not believed by many people. Ancient people were ready to believe that nature was inhabited by inscrutable mysteries that could never be comprehended or solved, not by human beings anyway. Today, practical lay people are aware that not everything is known, and so they may confuse the unknown with the unknowable – they may not distinguish between what could possibly be learned if true and taught by someone who knew it, on the one hand, and what could never possibly be learned because no one will ever know it or be able to teach it to anyone else, on the other hand. In addition, even scientists now know of a different kind of unknowability, the knowledge being discovered and manipulated by computers that human minds cannot grasp (brute force calculations in mathematics, for example). So even for science, unknowability at least to human minds has returned. But knowability relates to any mind that can know, including minds invented by human beings and into which human beings will someday merge their minds.
By sufficient systematic investigation over enough time, people learn, that is, transform the unknown into the known, because all is knowable, and all unknowns can become known in this same way. As ‘knowledge is power,’ as Francis Bacon said, humanity will advance in knowledge and power as an expression, a working out, of their purposes, to accomplish their purposes. In order to realize more completely their aims, they will seek more knowledge for more power, including power over themselves and their own minds. Thus, unless there is a final obstacle of humanity or all sentient life going extinct forever, all that is unknown will be destined finally to become known. Everything that can be known will be known, and everything can be known; therefore, everything will be known. This may be asymptotic, however this is the point being approached toward infinite time, if time is infinite. Inasmuch as knowledge is power, everything that can be done, will eventually be able to be done; instrumental power wielded by sentience will approach the infinite. As the descendants and successor-forms of human beings advance in instrumental power, they will also accomplish all their intentions; everything they wish to do or to have done will be done. I am not saying that nature will not present an alien counterpoint to human intention; just that nature will not present a final obstacle to accomplishing the aims that are desired in they context in which they will be desired. All of nature will still be a counterpoint, and posthuman nature itself an artifact of nature, a piece of destiny.