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" The third preliminary problem for every theory of reality is that of the experience of transcendence. We saw in the case of Berkeley that his erroneous principle *percipi est esse*, and his assertion that any being which we think, just for the reason that it is thought, cannot at the same time be regarded as subsisting independently of thinking, incorporate a failure to recognize the consciousness of transcendence peculiar to all intentional acts. This is an instance of the failure to recognize that not only all thinking in the narrower sense, in the sense of grasping an object on the basis of “meanings” and grasping a state of affairs through judgments, but *every* intention in general, whether perception, representation, remembering, the feeling of value, or the posing of ends and goals, points beyond the act and the contents of the act and intends something other than the act [*ein Aktfremdes*], even when what is thought is in turn itself a thought. Indeed, *intentio* signifies a goal-directed movement toward something which one does not have oneself or has only partially and incompletely. Berkeley (following Locke, who was the first to make the basic philosophical error which introduced “psychologism” into epistemology) arrived at the principle *esse est percipi* by making the idea [*Vorstellung*] (and even the sensation) into a thing, an immaterial substance, and by failing to distinguish between the act, the content of an act, and the object. Furthermore, Berkeley confused the being of objects with the fact of being-an-object, even though the latter has only a loose and variable connection with the former. On the other hand, the transcendence of the intentional object with respect to both the *intentio* and its present content is common to every instance of being-an-object. It is, for instance, proper to objects of pure mathematics which are certainly not real but ideal (for example, the number 3). These are produced from the *a priori* material of intuition in accordance with an operational law governing the steps of our thought or intuition. Transcendence is further proper to all fictitious objects and even to contradictory objects, for instance, a square circle. All these sorts of objects, e.g., the golden mountain or Little Red Riding Hood, satisfy the basic principle of the transcendence of objects over and above that aspect of them which is, at any moment, given in consciousness, just as much as do real objects existing independently of all consciousness and knowledge." ―from_Idealism and Realism_ "
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" [W]e can calculate our way into regions of miraculous improbability far greater than we can imagine as plausible. Let's look at this matter of what we think is plausible. What we can imagine as plausible is a narrow band in the middle of a much broader spectrum of what is actually possible. Sometimes it is narrower than what is actually there. There is a good analogy with light. Our eyes are built to cope with a narrow band of electromagnetic frequencies (the ones we call light), somewhere in the middle of the spectrum from long radio waves at one end to short X-rays at the other. We can't see the rays outside the narrow light band, but we can do calculations about them, and we can build instruments to detect them. In the same way, we know that the scales of size and time extend in both directions far outside the realm of what we can visualize. Our minds can't cope with the large distances that astronomy deals in or with the small distances that atomic physics deals in, but we can represent those distances in mathematical symbols. Our minds can't imagine a time span as short as a picosecond, but we can do calculations about picoseconds, and we can build computers that can complete calculations within picoseconds. Our minds can't imagine a timespan as long as a million years, let alone the thousands of millions of years that geologists routinely compute. Just as our eyes can see only that narrow band of electromagnetic frequencies that natural selection equipped our ancestors to see, so our brains are built to cope with narrow bands of sizes and times. Presumably there was no need for our ancestors to cope with sizes and times outside the narrow range of everyday practicality, so our brains never evolved the capacity to imagine them. It is probably significant that our own body size of a few feet is roughly in the middle of the range of sizes we can imagine. And our own lifetime of a few decades is roughly in the middle of the range of times we can imagine. "
― Richard Dawkins , The Blind Watchmaker: Why the Evidence of Evolution Reveals a Universe Without Design
