Month: April 2016

Telephone Game

entirelyuseless Mathematics, Metaphysics, Science, Uncategorized , , , , , ,

Victor Reppert says at his blog,

1. If the initial explosion of the big bang had differed in strength by as little as one part in 10\60, the universe would have either quickly collapsed back on itself, or
expanded [too] rapidly for stars to form. In either case, life would be impossible.
2. (An accuracy of one part in 10 to the 60th power can be compared to firing a bullet at a one-inch target on the other side of the observable universe, twenty billion light years away, and hitting the target.)

The claim seems a bit strong. Let x be a measurement in some units of the strength of “the inital explosion of the big bang.” Reppert seems to be saying that if x were increased or decreased by x / (10^60), then the universe would have either collapsed immediately, or it would have expanded without forming stars, so that life would have been impossible.

It’s possible that someone could make a good argument for that claim. But the most natural argument for that claim would be to say something like this, “We know that x had to fall between y and z in order to produce stars, and y and z are so close together that if we increased or decreased x by one part in 10^60, it would fall outside y and z.” But this will not work unless x is already known to fall between y and z. And this implies that we have measured x to a precision of 60 digits.

I suspect that no one, ever, has measured any physical thing to a precision of 60 digits, using any units or any form of measurement. This suggests that something about Reppert’s claim is a bit off.

In any case, the fact that 10^60 is expressed by “10\60”, and the fact that Reppert omits the word “too” mean that we can trace his claim fairly precisely. Searching Google for the exact sentence, we get this page as the first result, from November 2011. John Piippo says there:

1. If the initial explosion of the big bang had differed in strength by as little as one part in 10\60, the universe would have either quickly collapsed back on itself, or expanded [too] rapidly for stars to form. In either case, life would be impossible. (An accuracy of one part in 10 to the 60th power can be compared to firing a bullet at a one-inch target on the other side of the observable universe, twenty billion light years away, and hitting the target.)

Reppert seems to have accidentally or deliberately divided this into two separate points; number 2 in his list does not make sense except as an observation on the first, as it is found here. Piippo likewise omits the word “too,” strongly suggesting that Piippo is the direct source for Reppert, although it is also possible that both borrowed from a third source.

We find an earlier form of the claim here, made by Robin Collins. It appears to date from around 1998, given the statement, “This work was made possible in part by a Discovery Institute grant for the fiscal year 1997-1998.” Here the claim stands thus:

1. If the initial explosion of the big bang had differed in strength by as little as 1 part in 1060, the universe would have either quickly collapsed back on itself, or expanded too rapidly for stars to form. In either case, life would be impossible. [See Davies, 1982, pp. 90-91. (As John Jefferson Davis points out (p. 140), an accuracy of one part in 1060 can be compared to firing a bullet at a one-inch target on the other side of the observable universe, twenty billion light years away, and hitting the target.)

Here we still have the number “1.”, and the text is obviously the source for the later claims, but the word “too” is present in this version, and the claims are sourced. He refers to The Accidental Universe by Paul Davies. Davies says on page 88:

It follows from (4.13) that if p > p_crit then k > 0, the universe is spatially closed, and will eventually contract. The additional gravity of the extra-dense matter will drag the galaxies back on themselves. For p < p_crit, the gravity of the cosmic matter is weaker and the universe ‘escapes’, expanding unchecked in much the same way as a rapidly receding projectile. The geometry of the universe, and its ultimate fate, thus depends on the density of matter or, equivalently, on the total number of particles in the universe, N. We are now able to grasp the full significance of the coincidence (4.12). It states precisely that nature has chosen N to have a value very close to that required to yield a spatially flat universe, with k = 0 and p = p_crit.

Then, at the end of page 89, he says this:

At the Planck time – the earliest epoch at which we can have any confidence in the theory – the ratio was at most an almost infinitesimal 10-60. If one regards the Planck time as the initial moment when the subsequent cosmic dynamics were determined, it is necessary to suppose that nature chose p to differ from p_crit by no more than one part in 1060.

Here we have our source. “The ratio” here refers to (p – p_crit) / p_crit. In order for the ratio to be this small, p has to be almost equal to p_crit. In fact, Davies says that this ratio is proportional to time. If we set time = 0, then we would get a ratio of exactly 0, so that p = p_crit. Davies rightly states that the physical theories in question cannot work this way: under the theory of the Big Bang, we cannot discuss the state of the universe at t = 0 and expect to get sensible results. Nonetheless, this suggests that something is wrong with the idea that anything has been calibrated to one part in 1060. Rather, two values have started out basically equal and grown apart throughout time, so that if you choose an extremely small value of time, you get an extremely small difference in the two values.

This also verifies my original suspicion. Nothing has been measured to a precision of 60 digits, and a determination made that the number measured could not vary by one iota. Instead, Davies has simply taken a ratio that is proportional to time, and calculated its value with a very small value of time.

 

There is a real issue here, and it is the question, “Why is the universe basically flat?” But whatever the answer to this question may be, the question, and presumably its answer, are quite different from the claim that physics contains constants that are constrained to the level of “one part in 1060.” To put this another way: if you answer the question, “Why is the universe flat?” with a response of the form, “Because x = 1892592714.2256399288581158185662151865333331859591, and if it had been the slightest amount more or less than this, the universe would not have been flat,” then your answer is very likely wrong. There is likely to be a simpler and more general answer to the question.

Reppert in fact agrees, and that is the whole point of his argument. For him, the simpler and more general answer is that God planned it that way. That may be, but it should be evident that there is nothing that demands either this answer or an answer of the above form. There could be any number of potential answers.

Playing the telephone game and expecting to get a sensible result is a bad idea. If you take a statement from someone else and restate it without a source, and your source itself has no source, it is quite possible that your statement is wrong and that the original claim was quite different. Even apart from this, however, Reppert is engaging in a basically mistaken enterprise. In essence, he is making a philosophical argument, but attempting to give the appearance of supporting it with physics and mathematics. This is presumably because these topics are less remote from the senses. If Reppert can convince you that his argument is supported by physics and mathematics, you will be likely to think that reasonable disagreement with his position is impossible. You will be less likely to be persuaded if you recognize that his argument remains a philosophical one.

There are philosophical arguments for the existence of God, and this blog has discussed such arguments. But these arguments belong to philosophy, not to science.

 

 

 

 

Contradicting You and Contradicting Myself

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Perhaps the most blatant form of confusing the mode of knowing and the mode of being  is to argue, “I think that X is true. Therefore X is actually true.” It would be rare, of course, that anyone would argue this way so explicitly. However, it is not unheard of for someone to argue more or less in this way:

  1. I believe that X is true. You believe that it is not.
  2. If you were right, X would be false.
  3. But X is true.
  4. Therefore X would be both true and false, which is impossible.
  5. Therefore you are not right, and X is true.

This comes to the same thing as the original argument, since “but X is true” is simply being taken from “I believe that X is true.” Evidently, if X were false, X would not be true, despite the fact that the arguer believes that it is true.

On his website, The War Against Being, James Larson frequently makes arguments which amount to such attempted arguments by reductio. In a sense he puts this argument into the very title of his website: who is fighting a war against being and what does this mean? The beginning of his first article gives some indications:

It is conventional, contemporary wisdom that there is probably nothing more detached from reality, and nothing more inconsequential to the real events of this world, than is the study or promotion of the discipline of philosophy – and especially that highest branch of philosophy which is called ontology, the science of being. All that follows is meant to be a refutation of this “wisdom.” The road which I shall take will not, for the most part, be the technical world of the professional philosopher – this of necessity, simply because I am not one. There is an even greater necessity which hopefully will justify my presumption as a layman in treating of the metaphysical reality of being, and the war which has been and is being waged against it, and which now seems virtually universally victorious.

It might seem that there is a reasonable explanation for his title here. His opponents (“conventional, contemporary wisdom”) are against philosophy. But philosophy is about being. Therefore his opponents are against being.

This argument is not technically valid even given the premises, because even if philosophy is about being, someone who is against the use of philosophy is not necessarily opposed to being. And in any case, one of his premises is that “philosophy is about being,” and the position of his opponents, as he describes it himself, is that philosophy is “detached from reality,” and consequently, according to them, it is not about being. So “war against being” is a polemical description of his opponent’s position, and involves the assumption that his own position is actually true. In the end it comes to little more than this: “Some people disagree with me. But I am right, and my position truly describes being as it is. So those people are opposed to being as it is.”

At various points, Larson accuses his opponents of contradicting themselves. For example, in article 12 he says:

Our analysis of the writings of Joseph Ratzinger, up to this point, has revealed that he has subjected his theological and philosophical thinking to the influence of reductive analytical physics, and that this surrender has necessitated the denial of traditional Catholic teaching in three main areas: the denial of substance; the denial of the law of self-contradiction; and the denial of the nature of dogma as objective, unchanging truth.

The last-mentioned denial – the denial that truth is immutable and non-evolving – is a direct consequence of the belief enshrined in the quote from Father Ratzinger which I offered earlier: “Revelation now appeared no longer simply as a communication of truths to the intellect but as a historical action of God in which truth becomes gradually unveiled.” This is in direct contradiction to the teaching of Vatican Council I:

“For the doctrine of faith which God has revealed has not been proposed, like a philosophical invention, to be perfected by human ingenuity; but has been delivered as a divine deposit to the Spouse of Christ, to be faithfully kept and infallibly declared. Hence also, that meaning of the sacred dogmas is perpetually to be retained which our holy Mother the Church has once declared; nor is that meaning ever to be departed from, under the pretext of a deeper comprehension of them.”

The Oath Against Modernism contained the following affirmation:

“Fourthly, I sincerely hold that the doctrine of faith was handed down to us from the apostles through the orthodox Fathers in exactly the same meaning and always in the same purport. Therefore, I entirely reject the heretical misrepresentation that dogmas evolve and change from one meaning to another different from the one which the Church held previously. I also condemn every error according to which, in place of the divine deposit which has been given to the spouse of Christ to be carefully guarded by her, there is put a philosophical figment or product of a human conscience that has gradually been developed by human effort and will continue to develop indefinitely.”

We can know with certainty that Joseph Ratzinger took this oath. We can know with equal certainty that he has violated it in its deepest meaning.

While one of his three denials is “the denial of the law of self-contradiction” (meaning non-contradiction), the third is “the denial of the nature of dogma as objective, unchanging truth.” In the following sentence, he equates this with “the denial that truth is immutable and non-evolving.” Notice that these are not the same: one can deny that dogma is objective, unchanging truth, without saying that truth is mutable or evolving. Larson’s equating the two does not seem to be accidental. Rather, the argument is that dogma is actually objective and unchanging truth: therefore saying that dogma can change, means that truth itself can change. This argument has almost the precise form of the original reductio we considered.

Later in the same article, Larson comments on Ratzinger’s position on science and faith, and on original sin:

Science, according to Joseph Ratzinger and the historical-critical method of exegesis, has shown us clearly the degree to which scripture is largely composed of human fabrications expressive of the theological-fictive or magical mindset of those persons who composed the scriptures. Because of the primitive intellectual state of these peoples, we are therefore required – in order to distinguish between what is truly from God and what is of human invention – to distinguish between form and content in any particular passage of scripture. Content can simply be defined to be the “spiritual” message which God wishes to pass on to us, while form is constituted by all the rest which is conditioned by particular historical circumstances, literary genres, etc.

Thus, in Faith and the Future, Cardinal Ratzinger applies this historical-critical method to the first 3 chapters of the Book of Genesis:

“The difficulty begins with the very first page of the Bible. The concept presented there of how the world came to be, is in direct contradiction of all that we know today about the origins of the universe….And the problem continues, almost page by page….in the very next chapter new problems emerge with the story of the Fall. How can one bring this into harmony with the knowledge that – on the evidence of natural science – man starts not from above, but from below, does not fall, but slowly rises, even now having only just accomplished the metamorphosis from animal to human being? And what of paradise? Long before man existed, pain and death were in the world. Thistles and thorns grew long before any man had set eyes on them. And another thing: the first man was scarcely self-conscious, knew only privation and the wearisome struggle to survive. He was far from possessing the full endowment of reason, which the old doctrine of paradise attributes to him. But once the picture of paradise and the Fall has been broken in pieces, the notion of original sin goes with it, to be followed logically, it would seem, by the notion of redemption as well.”(page 5-7)

It is certainly no wonder, therefore, that Cardinal Ratzinger, in his book In the Beginning…A Catholic Understanding of the Story of Creation and the Fall, labeled the term original sin as a “certainly imprecise and misleading term”, and then proceeded to describe it as something which is contracted after birth through our relationships with others, and therefore through imitation, rather than it being something inherited at the moment of conception through generation (see my article Point of Departure in Christian Order, March 2004).

While Larson should not be trusted in anything he says about Ratzinger, or about anything really, his description of Ratzinger’s position on original sin is especially inaccurate. Ratzinger actually says this:

Finding an answer to this requires nothing less than trying to understand the human person better. It must once again be stressed that no human being is closed in upon himself or herself and that no one can live of or for himself or herself alone. We receive our life not only at the moment of birth but every day from without —from others who are not ourselves but who nonetheless somehow pertain to us. Human beings have their selves not only in themselves but also outside of themselves: they live in those whom they love and in those who love them and to whom they are “present.” Human beings are relational, and they possess their lives—themselves—only by way of relationship. I alone am not myself, but only in and with you am I myself. To be truly a human being means to be related in love, to be of and for. But sin means the damaging or the destruction of relationality. Sin is a rejection of relationality because it wants to make the human being a god. Sin is loss of relationship, disturbance of relationship, and therefore it is not restricted to the individual. When I destroy a relationship, then this event—sin —touches the other person involved in the relationship. Consequently sin is always an offense that touches others, that alters the world and damages it. To the extent that this is true, when the network of human relationships is damaged from the very beginning, then every human being enters into a world that is marked by relational damage. At the very moment that a person begins human existence, which is a good, he or she is confronted by a sin-damaged world. Each of us enters into a situation in which relationality has been hurt. Consequently each person is, from the very start, damaged in relationships and does not engage in them as he or she ought. Sin pursues the human being, and he or she capitulates to it.

“Every human being enters into a world that is marked by relational damage,” does not speak about something that happens after birth, but something that happens at the beginning of one’s existence. Larson seems to seem speak of the end of the passage, but it is easy to see that Ratzinger is speaking there of personal sin, not original sin. It is simply wrong to say that he describes original sin as something acquired after birth.

It is not unreasonable to ask whether this understanding of original sin is consistent with the traditional doctrine. Larson, however, rather than questioning, simply believes that it is manifestly inconsistent with that doctrine. He goes on to say:

The third stage in the evolution of human thought, the one which we are in right now, and which has made necessary the “essentialization” of the other two historical periods of human spirituality and thought, is the “positivistic,” or scientific, stage. This is the stage which, according to Fr. Ratzinger, is the defining mentality of our age:

“It seems incontrovertible that today the mentality described by Comte is that of a very large section of human society. The question about God no longer finds any place in human thought. To take up a well-known saying of Laplace, the context of the world is self-contained and the hypothesis of God is no longer necessary for its comprehension. Even the faithful, like travelers on a sinking ship, are becoming widely affected by an uneasy feeling: they are asking if the Christian faith has any future, or if it is not, in fact, more and more obviously being made obsolete by intellectual evolution. Behind such notions is the sense that a great gulf is developing between the world of faith and the world of science – a gulf that cannot be bridged, so that faith is made very largely impracticable.” (Ibid, p. 4-5)

Because of this “gulf” which exists between the traditional faith and the world of science, Father Ratzinger informs us that the “plethora of definitions” which the Church has “accumulated in the course of history” has become a “burden.” The irreconcilable nature of such dogmas with the modern positivistic and scientific intellectual consciousness makes the traditional content of the faith “oppressive” to the modern believer. Thus we are faced with the supposed necessity of either setting aside these doctrines as historically provisional, or of engaging in a task of “essentialization” which seeks to determine what constitutes the “content” behind the “form” of such definitions, and therefore altering the traditional understanding of the terms used in these definitions. This, of course, is precisely what Cardinal Ratzinger did in regard to the terms “original sin” and “transubstantiation.”

I think we must pause at this moment to understand the broader implications of these teachings. Any truly “sensitive” Catholic, if he accepts the truth of Joseph Ratzinger’s analysis and conclusions, should feel betrayed not only by the Church but also by God. This betrayal is multi-leveled. The Bible, which for two thousand years was considered to be inspired and a totally reliable source of truths on all levels of man’s existence is now shredded of virtually all meaning except the symbolical and the allegorical. Catholic dogma which was the absolute sure foundation of faith, and especially catechetical instruction of the young, is now to be essentialized, even to the point of self-contradiction. But even more importantly, the entire traditional understanding of the epistemological structure of the human intellect has now been negated.

Larson believes that Ratzinger has “altered the traditional understanding” of transubstantiation and original sin. And he describes this as “Catholic dogma which was the absolute sure foundation of faith, and especially catechetical instruction of the young, is now to be essentialized, even to the point of self-contradiction.” Note the point about self-contradiction. In reality, there is nothing contradictory in Ratzinger’s account of original sin, whether or not it is consistent with the traditional doctrine. If the traditional account contains mistaken elements, and Ratzinger’s account corrects those elements, this is not a contradiction unless you assume that those elements are also true. And this is the attempted reductio, “If you were right, X would be false. But X is true, so X would be both true and false. Therefore you are not right.”

Larson is arguing in a similar style when he says that the “structure of the human intellect has now been negated.” He continues:

At the core of all traditional Catholic understanding of both Who God is and also the nature of man, lies the fundamental Biblical idea that man is created in the image of God with an intellect and will that truly reflect, through the analogy of being, God’s intellect and will.

St. Thomas is very specific in this regard. He writes:

“We must needs say that the human soul knows all things in the eternal types, since by participation of these types we know all things. For the intellectual light itself which is in us, is nothing else than a participated likeness of the uncreated light, in which are created the eternal types,”(Pt. I, Q. 84, A.5).

The world of St. Thomas (and therefore the world of traditional Catholicism) is a trustworthy world, because it is a world in which man – his senses, mind and heart – are intimately connected to and reflective of Who God is, and also basically reliable in their knowledge of His creation. It is under such conditions of reliability and correspondence to an objective order of Truth, that trust truly takes root, and hope flourishes.

The world of Joseph Ratzinger, on the other hand, is one in which the disconnect between the human intellect and objective reality and truth is a fundamentally proven fact of historical evolution. It is one in which there is little harmony between human perception and objective reality. The obvious logical conclusion of postulating such a world is that God created man with an intellect oriented towards delusion – towards the perception of shadows that mask reality.

We were led by God and His Church for 2,000 years to believe in creation ex nihilo, in the unique creation of man with a spiritual soul, in an original Paradise free from death and sin, in original sin, in Noah and his ark, in the divine inspiration present in every word of scripture, in sanctifying grace, and in transubstantiation. We are now told these are the “forms” of particular stages in the evolution of human consciousness which must be abandoned or essentialized because they were only provisional expressions of truths which always go beyond the ability of the human intellect to grasp. And it is in the midst of this world of delusions that Fr. Ratzinger asks us now to forget about God and reality as being knowable, and informs us that our new form of faith is not to be founded in knowledge, but rather in trust (we shall examine this point in a moment). One is left with the inevitable question: Why should a man or woman trust such a God?

It is hard to see what Ratzinger has said, even according to Larson’s polemical understanding, which can be taken to imply that “God created man with an intellect oriented towards delusion.” And here we perhaps implicitly have what I characterized as the most blatant form of confusing thought and reality, “I think that X is true. Therefore X is actually true.” Larson’s true argument, it seems, is something like this: “If Ratzinger is right, then I am mistaken about many things. And that means that God must have created me with an intellect oriented to delusion.” When he says, “The world of St. Thomas (and therefore the world of traditional Catholicism) is a trustworthy world, because it is a world in which man – his senses, mind and heart – are intimately connected to and reflective of Who God is, and also basically reliable in their knowledge of His creation,” Larson really means to say that he himself is basically reliable in his knowledge of God and the world. Since God created him with an intellect oriented to truth, it follows that “I believe X. Therefore X is true,” is a good and reasonable argument. And if it turns out that he was wrong about X, it follows that God did not create him with an intellect oriented to truth.

Let us be clear, then. Saying that you are mistaken does not mean that I am contradicting myself, if I do not accept your position in the first place. I contradict you, not myself. Likewise, opposing your positions and policies does not mean that I am waging a “war against being,” if I do not think that your positions correspond to being or reality in the first place.

 

More on Knowing and Being

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I promised some examples of the point made in the previous post. I will give just a few here, although the point could easily be extended to many more.

Parmenides argues that nothing can come to be, since “what is not” cannot be or become. He also claims that “it is the same thing that can be thought and that can be,” and apparently this is intended to cover not only what is, but also the way that it is. Consequently, his position seems to imply a perfect identity between thought and being, even if it is ultimately inconsistent, since he says that human beings are wrong about change and the like, and this implies a discrepancy between thought and being.

Alexander Pruss argues that all words are sharply defined, at least in the mind of God.  He makes the argument, “Words are part of the world, so if there is vagueness in words, there is vagueness in the world.” This is no different, of course, from arguing that since words are part of reality, and some words are universal, there are universal things. There are universal things, if we mean by that universal terms or concepts, and there are vague things, if we mean by that vague words or concepts. But there are no universal cats or dogs, nor are there vague cats or dogs, despite the words “cat” and “dog” being vague.

C.S. Lewis argues, “Either we can know nothing or thought has reasons only, and no causes.” As I argued in the linked post, reasons in fact are a kind of final cause relative to their consequences, and they do not exclude efficient causes. This case might be somewhat less evident than the two previous cases, but I would argue that the cause of Lewis’s error here is the fact that, as St. Thomas says, the human mind can understand many things at once only by understanding them as one. Consequently, we can understand that an efficient cause can be for the sake of an end, but if the efficient cause and the final cause are presented as simply two causes, without the order that they actually have, they are not intelligible in this way.

These are examples of speculative errors resulting from confusing the mind’s way of knowing with the way that things are. I asserted in the last post, however, that practical errors can also result from this confusion. There is a very fundamental way this can happen: by nature we know things only if they have some relation to ourselves. The corresponding practical error would be to suppose that those things are real and important only in relation to ourselves. Look around you, and it appears that the world is centered on you. If you take this appearance and attribute an absolute truth to it, you will conclude that everything else has its being and importance in relation to you. Consider that you exist, and that all of the past has past out of existence. It might seem that the past only existed to bring you about.

St. Therese says about humility, “To me it seems that humility is truth. I do not know whether I am humble, but I do know that I see the truth in all things.” This is related to the examples I gave above. Since we know things in relation to ourselves, there is the temptation to suppose that things exist in the very same way. This leads to a false idea about our place in reality. Humility consists, on the contrary, in the truth about our place in reality, as I noted here.

Knowing and Being

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One of the most fundamental of philosophical errors is to suppose that since things are known by us in a certain way, they must exist in themselves in that very same way. St. Thomas raises an objection concerning the human mode of knowing:

It would seem that our intellect does not understand corporeal and material things by abstraction from the phantasms. For the intellect is false if it understands an object otherwise than as it really is. Now the forms of material things do not exist as abstracted from the particular things represented by the phantasms. Therefore, if we understand material things by abstraction of the species from the phantasm, there will be error in the intellect.

He responds to the objection:

Abstraction may occur in two ways:

First, by way of composition and division; thus we may understand that one thing does not exist in some other, or that it is separate therefrom.

Secondly, by way of simple and absolute consideration; thus we understand one thing without considering the other. Thus for the intellect to abstract one from another things which are not really abstract from one another, does, in the first mode of abstraction, imply falsehood. But, in the second mode of abstraction, for the intellect to abstract things which are not really abstract from one another, does not involve falsehood, as clearly appears in the case of the senses. For if we understood or said that color is not in a colored body, or that it is separate from it, there would be error in this opinion or assertion. But if we consider color and its properties, without reference to the apple which is colored; or if we express in word what we thus understand, there is no error in such an opinion or assertion, because an apple is not essential to color, and therefore color can be understood independently of the apple. Likewise, the things which belong to the species of a material thing, such as a stone, or a man, or a horse, can be thought of apart from the individualizing principles which do not belong to the notion of the species. This is what we mean by abstracting the universal from the particular, or the intelligible species from the phantasm; that is, by considering the nature of the species apart from its individual qualities represented by the phantasms. If, therefore, the intellect is said to be false when it understands a thing otherwise than as it is, that is so, if the word “otherwise” refers to the thing understood; for the intellect is false when it understands a thing otherwise than as it is; and so the intellect would be false if it abstracted the species of a stone from its matter in such a way as to regard the species as not existing in matter, as Plato held. But it is not so, if the word “otherwise” be taken as referring to the one who understands. For it is quite true that the mode of understanding, in one who understands, is not the same as the mode of a thing in existing: since the thing understood is immaterially in the one who understands, according to the mode of the intellect, and not materially, according to the mode of a material thing.

The objection basically argues that it is impossible to know things in a general way, since things do not exist in reality in a general way, but in a particular way. So if they are understood generally, they are understood falsely.

St. Thomas’s response is that it would be false, if someone were to assert, “tables exist in reality in a general way,” but that it is not false to have a general understanding of tables without asserting that tables are general things.

While error can arise in many ways, this kind of confusion between how things are known and how they are is one of the most basic causes of human error, both in regard to speculative and to practical truth. I will look at some examples in a later post.