Tag: Gottlob Frege

Reason – The Business of Philosophy

Britton William Frost1 Comment

“To say that a stone falls to Earth because it is obeying a law makes it a man and even a citizen.”  -C. S. Lewis

People who believe in science as a worldview rather than a method of inquiry – I call them scientismists – are fascinated by science because they cannot grasp it, just like all people who are not magicians are fascinated by magic. What little understanding they do have of it, in principle, is superficial. The difference between people’s perception of science and that of magic is that magic can always be explained. Magic plays a trick on one’s perception. That is magic’s nature as well as its goal. Science, on the other hand, cannot always be figured out. There simply is not a scientific explanation for everything (or of most things). Nor is it science’s goal to explain everything! Science is an incremental process of collecting empirical data, interpreting it, and attempting to manipulate aspects of the environment accordingly for (mostly) human benefit. It is experimental and observable. It is, as I will explain, inductive. Unfortunately, sometimes unknowingly, human subjectivity intervenes in at least one of these three steps, exposing its limits through ours. So, where does reason fit in to this process?

What “Reason” is NOT

One problem with scientism is that it equates science and reason. This is incorrect. Although philosophers of science, most of whom are scientists themselves, have debated the definition of science since it was called ‘Natural Philosophy’, there is one thing that we do know about it and the difference between it and reason. Science deals with questions of ‘how’. It describes the inner-workings, the technicalities, of observable processes and states of affairs. Reason deals with questions of ‘why’. It explores lines of thinking – fundamental goals, purposes, and meanings – for those processes and states of affairs as well those for many other non-scientific processes and states of affairs. Having said that, reason is necessary for science, but it is immeasurably more broad.

Science cannot alone answer why-questions. Claiming that it can is a mark of scientism. Why is that?

I will now give reasons for that by using an example from Dr. Wes Cecil’s 2014 lecture about scientism at Peninsula College:

Engineering, which is a type of science that has its foundations in calculus, can tell us how to build a bridge. Engineering can build the biggest, longest, strongest bridge one could possibly imagine. How will the bridge look? We marry science and art to make the bridge beautiful as well as functional. So, even at this first stage of building a bridge – design – science cannot stand independent from even art, which seems so much more abstract.

Furthermore, why do we need to build a bridge? This is a question of reason, not of science. The answer seems to be “to get to the other side of the river”. But what the engineer (who is also a business man who wants to land the deal for this highly-lucrative project) might neglect is that building a bridge is not the only way to get to the other side of the river. Perhaps a ferry would be an easier, more cost-effective option. The engineer can tell us how to build a ferry too, but making the decision between the bridge and the ferry, ultimately, is not the engineer’s business.

Even once the decision has been made to build the bridge, several more questions arise: who will pay for the bridge?; how will they pay for it?; where exactly will the bridge be?; who will be allowed to use the bridge? Motorized vehicles only? Bikes? Pedestrians?; etc. These are not scientific questions, and nor are most questions in our everyday lives. They are economic, ethical, and political questions that, much like the scientific question of how to build the bridge, require some application of reason, but they cannot themselves be equated with reason. Reason is something as different as it is important to these goals, processes, and states of affairs.

What is Reason?

Reason is a skill and a tool. It is the byproduct of logic. Logic is a subfield of philosophy that deals with reasoning in its purest forms. So, if someone wants to believe that science and reason are the same thing, then they are clearly admitting that science is merely a byproduct of a subfield of philosophy. I am sure that most scientismists egos would not be willing to live with that. Although some similar claim could still otherwise be the case, that is not what I am attempting to prove here. Let’s focus on reasoning.

We say that an argument is valid when the truth of the claim follows from the truth of its evidence. There is a symbolic way to express this. For example:

If p, then q; p; Therefore q.

What we have here is not a statement, but rather, a statement form called Modus Ponens. It is a formula in which we can plug anything for variables p and q, and whether or not the statement is true, it will be valid according to the rules of logic. Try it for yourself! But remember, ‘validity’ and ‘truth’ are not the same thing.

The example above describes deductive reasoning; it is conceptual. Immanuel Kant called the knowledge we gain from this process a priori – knowledge which is self-justifiable. Mathematics is a classic example of deductive reasoning. It is a highly systematic construction that seems to work independent from our own experience of it, that we can also apply to processes like building a bridge.

There is another type of reasoning called inductive reasoning. It is the process of reasoning based on past events and evidence collected from those events. The type of knowledge that one gains from inductive reasoning, according to Kant, is called a posteriori. This is knowledge that is justified by experience rather than a conceptual system. For example: We reason that the sun will rise tomorrow because it has everyday for all of recorded human history. We also have empirical evidence to explain how the sun rises. However, the prediction that the sun will rise tomorrow is only a prediction, not a certainty, despite all the evidence we have that it will rise. The prediction presupposes that not one of countless possible events (Sun burns out, asteroid knocks Earth out of orbit, Earth stops rotating, etc.) will occur to prevent that from happening.

Illusions of Scientism

The mistake that scientism makes is that it claims that the methods of science are deductive when they are actually inductive. Reductive science (that which seeks to explain larger phenomena by reducing matter down to smaller parts) most commonly makes this mistake. More often than not, those “smallest parts” are laws or theories defined by mathematical formulas. Scientismists believe that the deductions made by mathematical approaches to science produce philosophically true results. They do not. The results are simply valid because they work within a strict, self-justifiable framework – mathematics. But, how applicable are mathematics to the sciences, and how strong is this validity?

“The excellent beginning made by quantum mechanics with the hydrogen atom peters out slowly in the sands of approximation in as much as we move toward more complex situations… This decline in the efficiency of mathematical algorithms accelerates when we go into chemistry. The interactions between two molecules of any degree of complexity evades mathematical description… In biology, if we make exceptions of the theory of population and of formal genetics, the use of mathematics is confined to modelling a few local situations (transmission of nerve impulses, blood flow in the arteries, etc.) of slight theoretical interest and limited practical value… The relatively rapid degeneration in the possible uses of mathematics when one moves from physics to biology is certainly known among specialists, but there is a reluctance to reveal it to the public at large… The feeling of security given by the reductionist approach is in fact illusory.”

-Rene Thom, Mathemetician

Deductive reasoning and its systems, such as mathematics, are human constructs. However, how they came to be should be accurately described. They were not merely created, because that would imply that they came from nothing. Mathematics are very logical and can be applied in important ways. However, the fact that mathematics works in so many ways should not cause us the delusion that they were discovered either, for that would imply that there is some observable, fundamental, empirical truth to them. This is not the case either. Mathematics and the laws they describe are found nowhere in nature. There are no obvious examples of perfect circles or right angles anywhere in the universe. There are also no numbers. We can count objects, yes, but no two objects, from stars to particles of dust, are exactly the same. What does it mean when we say “here are two firs” when the trees, though of the same species, have so many obvious differences?

What a statement about a number asserts, according to Gottlob Frege, is a concept, because any application of it is deductive. So, I prefer to say of such systems that they were developed. They are constructed from logic for a purpose, but without that purpose – without an answer to the question ‘why do we use them?’ – they are nonexistent. Therefore, there is a strong sense in which the application of such systems is limited to our belief in them. Because we see them work in so many ways, it is difficult to not believe in them.

Physics attempts to act as the reason, the governing body of all science, but it cannot account for all of the uncertainty that scientific problems face. Its mathematical foundations are rigid, and so are the laws that they describe. However, occurrences in the universe are not rigid at all. They are random and unpredictable and constantly evolving. Therefore, such “laws” are only guidelines, albeit rather useful ones.

As Thom states, “the public at large” is unaware of the lack of practical applications of mathematics to science, and it is precisely that illusion of efficiency that scientism, which is comprised of both specialists and non-specialists, takes for granted. It is anthropocentric to believe that, because we understand mathematics, a system we developed, we can understand everything. Humans are not at the center of the universe. We’re merely an immeasurably small part of it.

The Solution

In the same way Rene Thom explains mathematical formulas do not directly translate to chemistry and biology, deductive reasoning, more generally, has very limited application in most aspects of our everyday lives. Kids in school ask, “I’ll never use algebra; why am I learning it?” It turns out, they are absolutely right. Learning math beyond basic addition, subtraction, multiplication, and division is a waste of time for most. What they should be learning instead are the basics of reasoning. Deduction only proves validity, not truth, and induction has even greater limits, as David Hume and many others have pointed out. People, especially young children, are truth-seekers by nature, which is to say they are little philosophers.

There is a solution: informal logic, the study of logical fallacies – the most basic errors in reasoning. Informal logic is widely accessible and universally applicable. If people are to reason well, informal logic is the most fundamental way to start, and start young we should. Children, in fact, have a natural tendency to do this extremely well.

To be continued…

“Ideology and the Third Realm” – What is Philosophy?

Britton William Frost2 Comments

In Dr. Alva Noë’s book Varieties of Presence, many important aspects of perception are discussed. He makes a convincing case that we achieve contact with the world through skill-based action. Our understanding of a new experience is a collective recurrence, both conscious and unconscious, of past experiences. It is a dense work that deserves the attention of other contemporaries who concern themselves with matters in cognitive science and philosophy of mind. Perhaps I will do a full review of this book at a later date, but for now I would like to focus on a matter addressed in the final chapter entitled “Ideology and the Third Realm” which takes an important departure from the philosophy of consciousness and neuroscience.

What this chapter does is something that every philosopher should do periodically: broadly revisits the fundamental importance of philosophy as it relates to the context of his work. I will be a bit more general than that since I am not  “professional” philosopher. The role that philosophy plays in the world seems to constantly be changing. But is it? Perhaps it is only the popular understanding of what philosophy is that changes. I think that is, in part, the case, but it has more to do with the uses of philosophy. Some of those uses have remained constant since the beginning of recorded thought while others change by the minute. For this reason, it is impossible to pin down. But one need not pin it down. Philosophy exists to be used, and it is set of skills that will hopefully never become extinct. There is no dictionary definition that can sufficiently explain it, much less emphasize the field’s vital presence. I will give a general overview of the chapter but mainly share my thoughts about what philosophy is and why it is not only relevant, but necessary. Before I continue, I should define an important term which will be mentioned several times in this piece.

Q.E.D. (Latin) quod erat demonstrandum –  meaning “which had to be proven”

Many people, in and out of academia, naively think that philosophy deals with questions that warrant a Q.E.D. response. When you take a philosophy course, you often have to write at least one argumentative essay where you choose a position of a philosopher who you have read, you attempt to prove him wrong, and then you attempt to formulate a complete view of your own by supporting evidence. This way of “doing philosophy” is popular in undergraduate, base-level courses. It helps you to develop reasoning skills that can be applied anywhere. This is important, no doubt, but this is not where philosophy ends. Why? First, writing is not even necessary for “doing philosophy”. The only thing that is necessary, I would argue, is thinking. Thinking must be assisted by reasoning, but this is only the start.

This does not imply that we should identify the philosopher as one who locks himself up in his ivory tower and speculates of a deluded, idealized world. To philosophize well, one must also be able to communicate his ideas in some way, and that will involve language, whether spoken or written. This is one reason philosophy courses are difficult: one must already have a certain level of reading, writing, and speaking proficiency to succeed. The full title of the final chapter of Noë’s book is “Ideology and the Third Realm (Or, a Short Essay on Knowing How to Philosophize)”. Since language is such a crucial part of this issue, I will begin by taking a language-based example from that chapter:

‘The King’s carriage is drawn by four horses’ is a statement about what?

a) the carriage;  b) the horses;  c) the concept it asserts;  d) other

Immediately, one might think that the answer is ‘a) the carriage’. This seems completely logical, given how most of us understand language. ‘Carriage’ is the subject of the sentence, so any terms that follow should (theoretically) describe it. It is certainly not ‘b) the horses’ because that is the object receiving the action, and nor can the answer be ‘c) the concept it asserts’ because nine out of ten people in the room don’t know what the hell that means. Right? Good. It’s settled.

Gottlob Frege had other ideas. He thought that a statement about numbers is a statement about a concept. When we attempt to answer the question about the subject matter of the “king’s carriage” statement, we are speaking in conceptual terms. We are not using the statement to assert anything. So, the answer must be ‘c’. He gives more reasons for this, of course, and he makes us realize that there is a sense in which we become confused about what we mean when we say ‘The king’s carriage is drawn by four horses’. However, despite the piercing quality of Frege’s argument, we have a much stronger sense that we are unconvinced by his theory of language.

The problem with Frege’s claim, for most of us, seems to be that he had a preconception of the meaning of the statement ‘the king’s carriage is drawn by four horses’ before he was even asked the question. He had already established that any statement about a number, without exception, is a statement about a concept, so he was able to answer the question without thinking. The problem with our rejection of his claim is that we are doing exactly the same thing. We also answered without thinking. We held the preconception that every sentence is about its subject. This preconception is guided by the larger logical construction by which we understand language, and it is certainly no more correct than Frege’s view simply because nine out of ten people in the room agree that it is (that would be to commit ad populum). We take our theory of language for granted, and perhaps Frege takes his for granted too. There seems to be no Q.E.D. conclusion here. What we are all doing, if we become inflexible, if we stick to our answer to the question without sufficient evidence to support it, is committing what I call the ideological fallacy.

However, subscribing to ideologies is not always a fallacious thing. It is only when the ideology is applied in a dogmatic way that it becomes wrong. When an evangelical christian lives by Jesus’ principle, “love your enemies”, that can have very positive effects. It may minimize conflict in the person’s life. It may allow them to stand strong in the face of racial adversity. It may allow them to accept people more openly, and very often the favor will be returned. However, the favor is not always returned if the christian is careless and thoughtless. Despite his belief that he loves his enemies, participating in radical evangelical activism would invade on others and create more conflict, leaving his conception of “love” to be questioned. It takes Christianity out of context and misapplies it to the world in a negatively ideological way. There is nothing about the beliefs in themselves that are illogical, destructive, or even wrong. It is in how they are used will determine that. I will use another example. Evolutionary biology can study preserved skeletons of million-year-old homo erectus figures and learn about how we sapiens evolved three stages of evolution later. This could contribute to our understanding of how humans will continue to evolve (or devolve). However, evolutionary biology can only contribute a small piece to the puzzle of predicting the future of humankind. It needs influence from many other fields to even begin to solve any of its own problems. So, when Richard Dawkins uses the broad concept of evolution to attempt to disprove creationism in any one of its countless forms, he is taking his work out of context and applying it in a radical, dogmatic, negatively ideological way. There is nothing about evolutionary biology, as a field, that is wrong. It is a highly-useful method of inquiry. But there is still plenty we do not know about how humans have evolved. We generally just accept that they did with the minimal evidence that we have just as the evangelical accepts his own conception of loving his enemies based solely on Jesus’ teachings. In this case, both parties look equally silly.

Of course, the example above presents two extreme cases. Although we answer this “king’s carriage” question one way, Frege answers it in another, and we seem to have to agree to disagree, there is still a sense in which both sides think the issue is objective in nature and that it deserves further discussion. In order to have this discussion in a logical, respectful, open manner, we must become philosophers, and one may not need to go school to achieve this. Alva Noë wonders how we might categorize our dealing with the “king’s carriage” question. It is not in the realm of the material (e.g. biology), nor is it in the realm of belief (e.g. religion). It seems to be within some third realm. Noë begins to explain with this quote:

The point is not that Frege or we are entitled to be indifferent to what people say or would say in answer to such a questionnaire. The point is that whatever people say could be at most the beginning of our conversation, not its end; it would be the opportunity for philosophy, not the determination of the solution of a philosophical problem. (Noë, 173)

“at most…“, Noë says “(what other people say is) the beginning of our conversation… the opportunity for philosophy…” This is another reason philosophy is so difficult! At the very most, when our view stands in opposition to another, we may only have the opportunity to do philosophy. We rarely get there. When we do get there, two or more people are concerning themselves with the third realm of a problem. What is the third realm? It is the realm of possibilities with minimal influence from ideologies. It is abstractly objective yet, as I will explain later, not in the realm of matters Q.E.D.

Where is this third realm? Well, ‘where’ is the wrong question. Bertrand Russell once said of philosophy that it is “in the no-man’s land between science and religion” because it always seems to be under scrutiny from both sides. Perhaps, in some cases, this is correct. It can serve as a mediator between two extremes, but, on the surface, this only explains one of unlimited applications of philosophy.

Upon first reading or hearing Russell’s quote, one might be inclined to place philosophy in between science and religion because it deals with reason over belief (like science) and thought without quantifiable experimentation (like religion). This would be a shallow interpretation that lacks crucial insight. Russell was perhaps a bit too concise for the average interpreter. He did not mean, as I understand him, that philosophy is inside the space between science and religion. It has deeper implications which resonate with those of Noë (despite the fact that Russell was a logical positivist, and Noë is a phenomenologist, so they would probably have a duel for other reasons). Explaining philosophy has nothing to do with where we should fit it in relation to other fields. It has to do with how we can apply its skills, and in that way it is most unique. Those skills are skills of thought. Developing those skills first requires one to look inward, rid himself of bias, and then turn outward to consider all possibilities. This is still only the beginning. Once we achieve this skill of thought, what do we do with it? We continue to practice and improve it. How? The answer is simple, but the application seems, in some cases, impossible. We communicate.

We share our ideas with others who have, to some degree, developed the skill of clear thinking. Of course, communication, whether written, oral, or otherwise, is a practical skill in itself that will be developed naturally, mostly prior to but also simultaneously, alongside the skill of thinking. We tend to adapt our ability to communicate only to the situational extents that we need them, and that can be limiting. When doing philosophy, anyone can participate, but only to the extent that they can think clearly. Philosophy tests those limits, which is why both science and religion so often scrutinize it. Though they deal with subject matter that seems contradictory, (mechanistic) science and religion do have one general thing in common: dogmatic ideology. Philosophy, on the other hand, is perhaps the only field that dedicates the elimination of dogmatism as one of its primary goals.

Doing philosophy is not only about increasing the degree to which people can think, but about being open to different forms of thought as well. What is fortunate in this regard is that each person in the conversation, if one is to find himself in such a conversation, has probably achieved their skill of thought through different means. For example:

There may be one who developed his thinking through philosophy itself, who rigorously studied informal logic to learn how not to commit errors in reasoning. He also may be able to contribute history of thought to the conversation and explain why certain schools of thought are obsolete in academic philosophy. There might also be a more scientifically-minded person who, in a graduate school lab, performed the same experiment under the same conditions hundreds of times, but got variable results. He questioned why this was happening (if the laws of physics are supposed to be constant), so he turned his research to the inconsistencies and realized that uncertainty transcends mathematical equations. He is now able to think more broadly about his work. There might also be a Buddhist in the group who practices intensive meditation. He can turn off influence from his sensory world and walk on hot coals without getting burned, or he can submerge himself into freezing-cold water without catching hypothermia. He is able to clear his mind from all unnecessary matter. Each person achieves the same thing – to think clearly, skeptically, critically – through different means. They each learn from one another and gain a broad range of insights.

Also, and perhaps most importantly, each person in the conversation should be genuinely interested in learning new perspectives in order to improve their own points of view. There is a sense in which someone may have achieved access to the third realm of conversation to a lesser degree than the others, and at a deeper point in the discussion, he gets flustered and has to back out. This is perfectly fine as long as he does back out, at least until his temper cools (if he does not back out, he will disrupt the conversation). He has pushed his boundaries of clear thinking to a level that the others have not, and that can be a very constructive or destructive thing, depending on his mindset. But it is vital that all parties directly involved maintain self-preservation throughout the conversation. If there are any unsettled nerves, it is almost certain that at least one participant is not being genuine, but rather, is too outwardly focused and is perhaps ultimately trying too hard to prove himself right or the others wrong. Although they might seem to contribute insight to the conversation, they will inevitably expose themselves as operating from within an ideology, thereby rendering themselves a nuisance. Philosophy is no activity for the pretentious or egocentric, contrary to popular belief. In fact, the absolute contrary is the case.

Do any philosophical questions warrant a Q.E.D. response? (Does philosophy ever prove anything?)

No. In case this is not already clear, there are, in a sense, no “philosophical questions”. There are only philosophical approaches to questions. Approaching the third realm of a problem requires one to be, as stated earlier, abstractly objective (or perhaps objectively abstract). There are limits to how objective one can be, no doubt, but the aim of advancing thought is to learn more and more about the world and how those in it think, so we can improve on that, both individually and collectively. It exposes dogmatism and reveals the sheer grey-ness in any concrete matter. Need I give examples as to when this might be useful? I challenge anyone to give an example of when it is not, and thereby present an opportunity for doing philosophy! This is why philosophy is so widely-applicable.

To draw an analogy – toward the end of Noë’s final chapter, he mentions Immanuel Kant’s aesthetic view that the reality of one’s response to a work of art is based in feeling – it is not contingent on his ability to explain it. Similarly, Clive Bell described a “peculiar aesthetic emotion” that must (first) be present in something for it to be considered art. It is that feeling you get when you listen to a beautiful composition, watch a film that evokes tears, or look at Picasso’s Guernica after you have heard the gruesome story behind the painting. I had experienced this aesthetic emotion many times, but it was my former professor at the University of New Orleans, Rob Stufflebeam, who, whether he intended to or not, led me to realize that all of those experiences involved the same exact emotional response. Perhaps only for those who have experienced it, it is certainly something that need not, and often cannot be explained.

Likewise, a philosophical approach to a problem is, instead of an emotional experience as with art, at its very best, an all-encompassing intellectual experience. It is not a heated argument, nor is it even a controlled debate. It is a respectful, open-ended discussion about ideas between two or more people in an intimate setting. It raises the awareness of each involved to a broad level of skepticism that, perhaps very strangely, brings with it an aura of contentment. It is obviously not the same feeling one gets with the peculiar aesthetic emotion, but it is parallel in the sense that when you are part of it, you really know. That reality seems to transcend explanation.

Final Thoughts

Alva Noë has developed this idea about perception: “The world shows up for us, but not for free. We achieve access to it through skill-based action.” It is a combination of developing our conceptual and practical skills that allows us to understand the world and live in it. Achieving access to the third realm of a question, as I would consider it, is one of those countless skills. It comes more easily for some than for others. Just as one person might naturally have ideal physiological makeup for learning how to swim (lean, broad shoulders, webbed feet, etc.), another person’s brain might seem to be better wired for clear thinking. Everyone, to some degree, with the proper amount of training, can swim. Likewise, everyone can, with practice, think clearly. The more one practices by looking inward, ridding himself of bias, and working up the courage to subject himself to critique, the more he can contribute to the conversation in his own unique way. How much one wants to participate is solely up to him, but to not participate at all is to miss out on a hugely important (and my personal favorite) part of the human experience.