| | William would have it that mathematical and logical propositions are always conceived in the form of sense: The visual-auditory symbols take a sensory form. For instance, the number "3" has a recognized shape and sound, and stands for three separate units, viz., |||; so do the logical symbols "P" and "Q," which stand for propositions, which are themselves composed of visual-auditory symbols. But this is clearly false. The number three does not have a recognized shape and sound. It is only the Arabic numeral '3' and its English pronunciation which does. If you go back and re-read the statement you just quoted, you'll see that I was referring not to concepts per se, but to visual-auditory symbols -- the form in which concepts are held and expressed. If I were a Roman, I would represent 3 by III, and pronounce it 'tres' as opposed to 'three.' Of course. And while 3 does in fact stand for 3 separate units, these units need not take any sensory form. The beauty of mathematics is that the numbers are extricable from their sensory attendants: 3 is still 3, and still possesses the same conceptual properties, whether we are talking about 3 people, 3 sides, or 3 atoms. That's true of any concept, not just mathematical ones. But, remember, there are no units in reality that are pure 3, without being 3 something -- 3 people, 3 sides, 3 atoms, as you say. The visual-auditory symbol must refer to three particular units of some kind. They can be three units of any kind, but they must be three units of some kind. William's error is highlighted when we consider that propositions, while composed of visual-auditory symbols, are not visual-auditory symbols, which is made clear by the consideration that Frenchmen and Germans can conceive of identical propositions (say, in logic) while using an entirely different set of symbols to refer to them. I agree. I didn't say that propositions are visual-auditory symbols; I said they were composed of visual-auditory symbols, which was inexact. What I should have said is that propositions are composed of concepts which are held and expressed in the form of visual-auditory symbols. There is a difference between the symbol "3" and the concept 3; whereas symbols are perceptual concretes, concepts are not; they are mental entities. "A concept is a mental integration of two or more units which are isolated according to a specific characteristic(s) and united by a specific definition." (Rand, ITOE, p. 10) "A unit is an existent regarded as a separate member of a group of two or more similar members. (Two stones are two units; so are two square feet of ground, if regarded as distinct parts of a continuous stretch of ground.) Note that the concept "unit" involves an act of consciousness (a selective focus, a certain way of regarding things), but that it is not an arbitrary creation of consciousness: it is a method of identification or classification according to the attributes which a consciousness observes in reality." (Ibid., pp. 7,8)
I wrote, "You don't need pre-existing concepts. you can perceive that two objects bear a greater similarity to each other than they do to a third object. You then group the two objects together relative to the third, and thereby "differentiate" them from the third object. It is through the perceptual observation of relative similarities and differences that you build your concepts from the ground up. No pre-existing 'innate ideas' are required." Only angels possess complete sets of innate ideas. Humans seem to have much less of them--mostly confined to logic and mathematics. If you believe in angels, I'm not surprised that you believe in innate ideas. :-/ But I digress. It is not the case that certain basic concepts are not required for perception. Indeed, in the example you mention, it is apparent that one would need to have an operative concept of similarity in order to determine whether or not two objects are similar. If one were not formerly aware of certain criteria for similarity, one would never be able judge whether two objects were similar. You don't need the concept 'similarity' in order to perceive that an orange is more like an apple than like a tree. You can directly observe that the orange bears a greater likeness to the apple than to the tree. You wouldn't yet have a term for (or concept of) the similarity that you're perceiving, just as you wouldn't yet have a term for (or concept of) the objects that you're comparing -- the orange, the apple and the tree -- but you don't need a term for (or concept of) something in order to observe its existence. In fact, you couldn't form the concept 'similarity' unless you first observed instances of it in reality, just as you couldn't form the concept 'chair' unless you first observed instances of it in reality. The way you form your concepts is by observing similarities and differences in the objects of your awareness and then grouping the relatively similar objects together as against those that are relatively different. In the process of doing so, you attach a symbol to the objects that you're grouping together, which helps you to keep them united under a single mental unit.
For example, you see that an orange is similar to an apple in contrast to a tree; you then group the orange and the apple together and give them a name (e.g., 'fruit'). Later, you see that other pieces of fruit bear a greater similarity to the orange than to the apple, so you group them together and give them a name (e.g., 'orange'). You don't need a pre-existing concept of 'orange' in order to see the similarity and group them together. You can directly observe that two objects are more like each other than either is like a third object. After engaging in this process on two or more occasions, you can then observe a certain similarity in the various cases of similarity themselves, and can group these together and give them a name (e.g., 'similarity').
This process applies to all concepts. There are no innate versus acquired concepts. All concepts are the product of experience. I wrote, "If thoughts were not causally dependent on the brain, they could exist independently of the brain, but when brain processes cease, thoughts cease along with them." This is false. Perhaps thoughts are not causally dependent on the brain, but the mental activity which is a necessary condition for them is. I don't follow you. If mental activity is necessary for thought, and the brain is necessary for mental activity (because mental activity depends on the brain), then why isn't the brain necessary for thought?
I wrote, "It is true that thoughts can cause further mental action, but they do so as brain activity, for mental activity is simply the subjective aspect of cerebral activity." This cannot be. Otherwise, it would be the case that brain activity is responsible for the derivative of 7 to be 0, whereas it is actually the case that what is responsible is the fact that 7 lacks a variable responsible for a changing functional value. You're failing to distinguish between what is responsible for the fact that the derivative of 7 is 0, and what is responsible for the identification of that fact. Brain activity is not responsible for the mathematical relationships themselves, which exist even if no one identifies them, but it is responsible for the identification of those relationships. Again, brain activity and mental activity are simply two sides of the same ontological coin, just as "the morning star" and "the evening star" are two appearances of the same celestial body.
I wrote, "To think is to activate the cerebrum, just as to see is to activate the eye, the optic nerve and the visual cortex. One thinks conceptually by means of the brain, just as one sees visually by means of the eye. The mind and the brain are not two separate entities that interact with each other, any more than vision and the eye are two separate entities that interact with each other. Just as one sees through the eye, so one thinks through the brain. When one engages in logical reasoning, one activates a specific physiological process. One's reasoning is simply the subjective aspect of that process. Just as without the relevant optical physiology, seeing is impossible, so without the relevant brain physiology, thinking is impossible." This is all assertion followed by an attempted analogy between the brain and the eye which I have already refuted elsewhere. Oh, really? Then please point me to the refutation. The only reason one sees through the eye is because a brain is connected to the optic nerve as opposed to a ball of wax. But the causal efficacy of the mind transcends the causal power of the brain--as can be supported by numerous examples of how mental content in the form of will determines action, and how the analysis of ideas determines the nature of the conclusions based upon them. And this is enough to show that there is not only an analytical distinction between the mind and the brain, but also an ontological one. Yes, mental content in the form of will determines action, but it doesn't do so independently of the brain, because mental content is simultaneously brain content. By the same token, the analysis of ideas determines the nature of the conclusions based upon them, but that analysis and those conclusions are simultaneously actions of both the mind and the brain.
I wrote, "First of all, you have zero evidence for any of these claims [about the knowledge of God, etc.], which you assert as though they were self-evident truths." Well, this is plainly false, and can be translated as "I believe you have zero evidence for any of these claims." In actual fact, William has not entertained the evidence to which I have referred countless times--especially as found in Swinburne's book The Existence of God. When I said that you have zero evidence, I meant that you’ve presented zero evidence. Referring me to Swinburne’s book is not presenting evidence; it’s simply referring me to someone who claims to have evidence. If you want me to address Swinburne’s arguments, then you’ll have to present them here. I'm not going to read his book, and then do an exhaustive refutation of its content on this thread. Nor can you expect me to. I continued, "Yet when you argue with me, you dispute the most obvious facts, by continually posing imaginary counter-examples, as though they constituted some kind of contrary evidence. I would expect you to demand of yourself the same epistemological standards that you demand of me." These 'facts' are only obvious to you and your ilk. If they were categorically obvious, then no one would dispute them. But many very intelligent people have. Suppose I were to argue that the earth is flat and the moon landing a hoax. Would you say that the earth's shape and the moon landing are not obvious facts, because there are intelligent people who dispute them? To call these people “intelligent” is to beg the question; they may be “intelligent” in the sense that they’re literate and well-educated, but their intelligence is not in evidence when they deny facts this obvious. The same is true for well-educated people who are religious; they may be intelligent in other areas, but their intelligence is not in evidence when they defend a belief in the existence of gods and angels. Besides, my point was not that there aren’t many well-educated people who are so wedded to their religious upbringing that they’re willing to deny the obvious just in order to defend it. My point was that your method of argument is to dispute plain empirical facts by offering imaginary counter-examples, not by presenting contrary evidence; yet you complain that I’ve failed to present evidence for my views when I’ve been very careful to do so.
I wrote, "Secondly, one doesn't perceive concepts, nor can one form them without a process of abstraction from particulars. Concepts presuppose particular things; particular things don’t presuppose concepts. So without an already existing world of particulars, there could be no concepts for a God to be aware of." Only if God were a material being, but He is not. And only if logical and mathematical truths depend on particulars, which they do not. If, as you say, perception does not require a material means, then in what form does God perceive the world? He has to perceive it in some form, and that form can only be determined by the nature of his sense organs. If he has no sense organs, he has no perception.
I wrote, "More arbitary assertions! Liebniz, you toss around these floating abstractions like they were self-evident truths, when there is no evidence whatsoever to support them. It’s simply impossible for a consciousness to know and will all things immediately. Knowledge requires a process by which a consciousness acquires information over time." An omniscient, omnipotent being is not subject to such limitations, and does not require a process by which to acquire information, since all information is possessed by Him connaturally. Suppose I said that Santa Claus flies from house to house on Christmas Eve and you disputed this on the grounds that Santa and his sleigh do not, by their nature, have the capacity for flight. And suppose I replied, ah, but you see, Santa Claus is not subject to these natural limitations, because he is not bound by the laws of nature. Would you accept this as a reasonable answer? If not, then why do you expect me to accept as reasonable your answer that God is not bound by the laws of nature when it comes to the acquisition of knowledge?
To be continued . . .
- Bill
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