inductive logic
The Philosophical Roots of Science
The word “science” comes from the Latin scientia “knowledge,” but in its modern English usage it has come to mean more than that. Also implied is a system or method based on observation. Here is my definition:
Science is an empirically based system for the acquisition, compilation and dissemination of knowledge about the physical Universe.
Inclusion of the word “empirical” denotes observations acquired by the senses. The branch of philosophy dealing with this is known as epistemology. What follows is a description of a particular epistemology, the one that makes the most sense to me:
First, a basic assumption: all objective knowledge, or any thought that carries intelligence, can be put in the form of statements. It can be communicated, or lifted from one individual’s brain, put into words and transmitted to another’s brain orally, or in writing. And this is possible regardless of truth or falsehood, how you got it, or where it came from.
With all objective knowledge or intelligence in the form of statements, we can examine their structural content. We can do some sorting and pigeonholing. The first distinction to be made is between analytic and synthetic statements:
An analytic statement is knowable (either true or false) without reference to the world. You know it in your head (a priori) and no observation is necessary.
Example: All brothers are male siblings.
We know this statement is true because the definition of brothers is male siblings. It is true by definition. You could take the words “male siblings” out of the statement and plug in “brothers” and the statement would read: all brothers are brothers. We can tell this is true simply from the structure of the statement itself. There is no need to go out and look at brothers. It doesn’t tell you anything about the nature of brothers. Another name for such a statement is a tautology. Some tautologies are quite famous.
Example: What will be will be.
At first, this sounds like a profound statement, as if it were telling you some basic truth about the nature of reality. In fact, it is true, absolutely true, but its truth comes from the structure of the statement not from some long, hard-earned experience with the world.
The truth (or falsehood) of tautologies and all other analytic statements is necessarily absolute; they are set up by us to be so. They are true by definition but they do not address the nature of reality.
Synthetic statements, on the other hand, do speak of the nature of the world outside your head.
Example: It is raining.
We don’t automatically know a priori the truth or falsehood of that statement. Its’ truth or falsehood is contingent upon whether, in fact, it is raining and that determination requires a verification process. we must go to the window and look out, or we must listen for the sound of rain on the roof, or we must feel the dampness in the air. In other words, we must gather sense data from the world in order to confirm or deny the statement and only then (posteriori) can we determine its truth or falsehood. Moreover, such a determination is not absolute as it is with analytic statements. Sense data is fallible and not every observation necessary for a determination can always be made. If it is night, going to the window and looking out may not help. The sound we thought was rain on the roof might, in fact, just be some dry leaves blowing about, and the dampness in the air may come from the kettle on the stove.
Consequently, the determination of the truth or falsehood of a synthetic statement must always be expressed as a probability. The truth of a synthetic statement may be very highly probable.
Example: Gravity exists.
But since every possible observation has not been made (and never will be) the existence of gravity must remain very highly probable, but not absolute.
On the other hand, even though the truth or falsehood of synthetic statements cannot be determined absolutely, they do tell you something about the world. They are useful in dealing with reality. Exhibit A lists the characteristics of analytic and synthetic statements and displays them in summary form.
(click on image for larger view)
Since it is very highly probable we human beings exist, and since it is also very highly probable the world, nature, and the universe also are a reality, it is important that we develop a system for determining the relative truth (or falsehood) of synthetic statements, a kind of test of their reliability. In fact, we have done just that and we couldn’t have succeeded in nature to the degree we have if such a process had not become a manifest part of the human experience.
How do we arrive at important synthetic statements in the first place? There is a process labeled induction by enumeration which begins with observations of reality. Initially, this is a random process, but eventually observations start to lump themselves together into categories and frames of reference.
For example, I see an animal. Eventually I see another that looks like the first, and then I see a third and a fourth. These observations become a frame of reference centered on that kind of animal. I give it a label, “cat.” I notice the first four cats all had tails. I see a fifth and a sixth cat. They have tails too. And now I make an inference. Based on my specific observations, I make a generalized statement about cats:
Example: All cats have tails.
This kind of synthetic statement is called a hypothesis, and the process is induction by enumeration or inductive logic. Inductive logic always moves from the specific to the general and is synthetic in nature. Having made the hypothesis, I now treat it as true. But if I am realistic, I realize its truth is only probable to a degree, and that degree is tied directly to the number of observations I have made (namely six). However, I proceed merrily along as if the hypothesis were true. I make a prediction. I conclude that the next cat I see will have a tail. This is deductive logic. Deductive logic always moves from the general to the specific. I see a seventh cat. It has a tail. This observation confirms my hypothesis and my confidence level rises. I continue on in this manner growing more and more confident until— oh no!— a cat without a tail! Woe is me! But all is not lost. I really do not need to start all over at the beginning. My observations are still good; it’s just my hypothesis that is flawed. It needs a little work. How about this:
Example: Most cats have tails.
This process of moving from the specific to the general, from the general to the specific and back around again is the cognitive cycle and is the basis for what is known as the Scientific Method. Scientists call hypotheses that are very highly probable facts. But even facts are not held to be absolute. A diagram of the process is shown in Exhibit B.
(click on image for larger view)
We think this way naturally, without making a conscious effort. The Scientific Method is simply an elaborate formalization of the way our heads work automatically. I would go as far as to say any intelligence that gathers knowledge of the Universe empirically (through the use of senses) would necessarily function in the same way.
Exhibit B is a fairly good representation of the cognitive cycle, with one shortcoming. It shows the realm inside your head (the brain) as isolated and separate from the universe outside. When, in fact, you and your brain are in the Universe as well. Thus we are able to make observations of our own mental activity, which may be at the root of consciousness. In fact, a pretty good argument can be made for a “sixth sense” on this basis. My feeling is that if a sixth sense exists, it is one that looks “in” instead of “out” like the other five.
The examples I have used are absurdly simple ones, and I don’t mean to give the impression that the process is always so straightforward. It can become immensely complex, but no matter how many variations on the theme you find, it’s still the same basic process.
Up to this point I haven’t said anything very controversial. I think most philosophers would largely agree with what I’ve stated so far. But there is a big split in philosophy and we are rapidly approaching that point. So, if you will look again at Exhibit A, you will note I have drawn a heavy line between the characteristics of analytic statements and the characteristics of synthetic statements. Philosophers generally lumped together as empiricists say there is no crossing that line. Synthetic statements cannot be knowable a priori, (in your head without reference to the world). Philosophers usually gathered under the general heading of rationalists claim at least one such statement and they may claim more. They go on to claim that starting with such a statement as a given and using pure reason (deductive logic), all of reality can be derived.
Such statements are usually termed metaphysical (beyond physical) or supernatural which conveniently releases them from the constraints Mother Nature places on the rest of us. Probably the classic metaphysical statement of all time is: “God exists.” So much controversy has swirled around just this one metaphysical statement that the various positions have their own labels. There are theists, atheists and agnostics.
A theist is a rationalist who claims a priori knowledge that the statement “God exists” is true. An atheist is also a rationalist, but claims knowledge that the statement is false. All true empiricists are agnostic. They claim knowledge is not possible concerning the truth or falsehood of this statement, or any metaphysical statement, since such statements do not lend themselves to observation and verification by the senses. An agnostic would maintain that such statements are matters of faith, not knowledge.
Agnosticism is really a much broader category than most people realize. For instance, one can have faith that “God exists” is true and still be an agnostic. Or you can believe the statement is false and be an agnostic. Only the claim of knowledge will move you out of the agnostic category one way or the other.
Other metaphysical statements abound and usually concern the existence of things such as souls, spirits, gods of all kinds, large and small, ghosts, poltergeist, goblins, etc. In fact, the field is wide open. You can dream up your own. All you have to do is claim knowledge that they exist, but that they do not lend themselves to sense observation. Talk about free enterprise! This is really an unregulated industry!
The trouble with human beings is we have very active imaginations and, although this can be entertaining and useful when properly channeled, it often runs wild and tempts us to create answers where voids in our knowledge exist. These answers form the dogmas that differ from one religion to the next. They differ because they are not based on common experience of the senses. Whole wars have been fought and unspeakable atrocities committed in the name of these differences. As a species, and as individuals, we need to discipline ourselves to reserve judgment where voids in our knowledge exist. We need to learn to say, “I don’t know” without feeling inadequate. We must be patient.
In conclusion: all objective truths or “facts” are simply matters of high probability and all knowledge about the physical nature of the Universe is of this nature.
“I think that in discussions of physical problems we ought
to begin not from the authority of scriptural passages, but
from sense-experiences and necessary demonstrations…
Galileo Galilei
Categories
- THE GALLERY
- Uncle Rob's Art
- 3D Works (stills) I
- 3D Works (stills) II
- 3D Works (stills) III
- 3D Works (video)
- Design & Abstract I
- Design & Abstract II
- Design & Abstract III
- Figurative Works I
- Figurative Works II
- Landscapes I
- Landscapes II
- Largest Art Project
- Nautical and Marine Images (video)
- Nautical and Marine Images I
- Nautical and Marine Images II
- Nautical and Marine Images III
- Nautical and Marine Images IV
- Portraits
- Still Life Images
- Stump Hollow Photo Essay I
- Stump Hollow Photo Essay II
- Uncle Rob's Mendocino Shop
- The Five Sense Series
- Irene's Creations
- Works by Don Mason
- Works by Don Mason II
- Works by Joseph de Borde
- Painting by Albert Robbins
- Art by Leslie Masters Villani
- Paintings by Nellie Harriet Parker
- The Art of Bee Yearian
- Works by Evie Wilson
- Uncle Rob's Art
- SCHOONER MOON BOOKS
- SEA STORIES
- ONE DOZEN AND TWO ESSAYS
- Cousinhood
- Art by Definition
- Cake Mixed Economy
- Marriage Anyone?
- Sex and/or Violence
- Searching for Truth
- The Philosophical Roots of Science
- Stepping Stones and Stumbling Blocks
- On Being Good
- Teaching By Example
- The Basic Law of Civilization
- Where Goeth Evil?
- A Modern Empircal "Religion"
- Knowledge as Wealth
- PAPERS AND ARTICLES
- FAMILY STORIES
- BOOK REVIEWS
Archive
- December 2021
- October 2020
- June 2020
- September 2019
- July 2017
- March 2017
- December 2016
- November 2016
- October 2016
- August 2016
- July 2016
- June 2016
- May 2016
- March 2016
- February 2016
- February 2015
- January 2015
- February 2014
- December 2013
- November 2013
- August 2013
- June 2013
- August 2012
- July 2012
- April 2012
- March 2012
- February 2012
- November 2011
- September 2011
- June 2011
- May 2011
- April 2011
- March 2011
- February 2011
- January 2011
- December 2010
- November 2010
- October 2010
- September 2010
- August 2010
- July 2010
- June 2010
- May 2010
- April 2010
- March 2010
- February 2010
- January 2010
- December 2009
- November 2009
- October 2009
- September 2009
- August 2009
- July 2009
- June 2009
- May 2009
- April 2009
- March 2009
- February 2009
- January 2009
- December 2008
- November 2008
- October 2008
- September 2008