MODERN PHILOSOPHY OF SCIENCE


INTRODUCTION
It has been remarked that “there is no institution in the modern world more prestigious than science.”[1] The whole idea of modern philosophy of science consists of a compendium of modern philosophers’ account, beginning from the Seventeeth century philosophers about science and scientific inquiry in contrast with the views of philosophers of antiquity, especially Aristotle. Obviously then, the notion of science, its method, procedures and even its findings, differ widely between modern day thinkers and that of the ancients.[2] Thus, the need for a modern philosophy of science arises wherein the basic claims of science, both in its modern day view and its ancient view, can be critically scrutinized, clarified and possibly redefined, so as to ensure appropriate scientific explanation in conformity with recent scientific findings and inquiries.  
Basically, in order to attain a lucid presentation of the thoughts of modern philosophers of science, in the ensuing sections, we shall see as a preliminary, a brief exposition of Aristotle’s scientific method. Afterward, we shall consider the implication of scientific theories as proposed by different scientific philosophers. Then, we shall make a comparison of inductive and deductive methods of science.  Finally, we shall conclude by summarizing its salient points.
1.0 ARISTOTELIAN SCIENTIFIC METHOD
According to Aristotle, scientific inquiry begins with knowledge that certain events occur, or that certain properties coexist, and scientific explanation is achieved only when statements about these events or properties are deduced from explanatory principles, which are induced from  particular events or coexisting properties of a particular phenomena.[3]
However, Aristotle, conceived induction as a necessary but not sufficient method of attaining scientific knowledge.[4] He claims that, it is the deductive process that accounts for scientific knowledge. This deductive process is in form of a syllogism. An example is:
            All men are mortal
            Socrates is a man
            Therefore, Socrates is a mortal.
This example clearly shows Aristotle’s idea of a scientific method. The truth of the premises guarantee the truth of the conclusion and the conclusion follows from the premises. However, it is important to note that Aristotle placed an important restriction on the kinds of statements that can occur as premises and conclusions of deductive arguments in science. He allowed only those statements which assert that one class is included within, or is excluded from, a second class.  He maintained that a proper scientific explanation should be given in terms of statements of this type.[5]
2.0 MODERN PHILOSOPHY OF SCIENCE
In the modern epoch, there was a shift in the method of science. This was imperative because scientists had no satisfaction with the Aristotelian method of deduction. The modern Scientists brought about the most fundamental alteration in the world of thought and they accomplished this feat by devising new methods for discovering knowledge. Some of these scientists and their contributions are discussed below.

2.1  Galileo’s Scientific Procedure
Galileo is seen as the originator of modern science. He played a major role in scientific revolution. To enhance the exactness of observations, Galileo invented and used various scientific instruments like Telescope which enabled fresh knowledge. Through this method, he made important telescopic observations of sunspots, the surface of the moon and four of the satellites of Jupiter which were inconsistent with the Aristotelian acceptable view.[6] This is because he moved from particular to general in his discoveries and hypothesis. He also made astronomical observations for Copernican theory of motion by providing the required proof of the motion of the earth around the sun which was also contradictory to Aristotle’s position.
Moreover, Galileo understood that the book of nature is written in mathematical language and recognizes that nature is composed of particles and bodies. To understand the realities of nature, he “stressed the distinction between appearance and reality”.[7] He achieved this by presenting two qualities in nature namely, primary and secondary qualities where appearance is made up of secondary qualities and reality consists of primary qualities. These “secondary qualities such as colours, tastes, odours, sounds exist only in the mind (consciousness) of the perceiving subject”.[8] For him, we cannot trust these appearances i.e. the secondary qualities as a reliable way to truth since it has misled humanity in the past like the erroneous conclusion through appearance that the sun moves around the earth. On the other hand, primary qualities such as shape, size, number, position and quantity of motion are objective properties of bodies and are essential to the very concept of body. With this understanding, he restricted the subject matter in nature (Physics) to primary qualities. He accepted the main outline of Aristotle’s inductive-deductive theory of scientific procedure which viewed science as a progression from observations to general principles and back to observations.
For a proper scientific analysis and restriction of scientific subject matter, he adopted the demarcation method which comprises two stages. In the first stage, he demarcated scientific interpretations from non-scientific interpretations. Then, the second stage is to determine the acceptability of those interpretations that qualify as scientific since some of them may be scientific but not acceptable. Applying this, he noted that although scientific inquiry is induced by the data of sense experience as Aristotle holds, but that alone does not make for acceptable science but the expansion of the inductive techniques to abstraction and idealization is paramount.[9] This is a process of extrapolating from experiments that are serially ordered. He experimented this with the Ideal pendulum and the Free fall in a vacuum (bodies falling down inclined planes). From this experiment, we can deduce that it enables creative imagination and intuition which is also seen in philosophy showing an application of philosophy in science.
Scientific method for him was an innovative combination of experiment and mathematics. He is the first modern thinker that sees the law of nature as mathematical. He applied mathematics to motion which is the beginning of modern science improving on Aristotle’s Physics and method. Aristotle had stated based on human reason that everything does not fall at the same rate; if one object is heavier than another, it will fall faster. Galileo mathematically and experimentally disproved this with an inclined plane heaving two bodies at the same height but falling at the same time.[10] Thus, he demonstrated the inadequacy of Aristotle’s Physics. The fall does not depend on velocity but acceleration which is common to all objects at Free fall and was later expressed as 9.8m/s. He denounced second hand information based upon tradition and conjectures in books but adopted mathematical demonstration through varieties of experiments. He believes that “Philosophy is written in this grand book, the universe… it is written in the language of mathematics and its characters are triangles, circles and other geometric figures”.[11] He reiterates the process of deductive systematization as a distinction between real and phenomenal, theorems and actual observations. Consequently, his work marked a step towards separation of science and philosophy. The method of observation/experiment and mathematical calculations became the hallmark of modern science which differs from Philosophical method.
On the other hand, though Galileo has been held as the champion of experimental methodology, he is equally criticized for opposing experimental confirmation. He wrote in a way that presented experimental confirmation unimportant. It got to the extent that “there are instances in which he dismissed experimental evidence that seemed to count against his theories.”[12] He even dismissed the unfavourable evidence against his theory of the tides.
2.2 Francis Bacon
The name Organon was applied to the works of Aristotle which treated of Logic, that is, of the method of establishing and proving knowledge and of refuting errors, by means of syllogisms. Francis Bacon, holding that this method was insufficient and futile for the augmentation of real and useful knowledge, published his Novum Organon, in which he proposed for that purpose method from which he promised a better success.[13]
Bacon sets out to debunk the ancient method of Science. He pointed out that these men who have engaged in studying nature have misled us and that they “who have taken upon themselves to lay down the law of nature as a thing already searched out and understood, whether they have spoken in simple assurance or professional affectation, have therein done philosophy and the sciences great injury.”[14] They have, in his view, monopolized knowledge and those engaged in it “trusting entirely to the force of their understanding, applied no rule, but made everything turn upon hard thinking and perpetual working and exercise of the mind.”[15]
In order to go on with his purpose, Bacon rejects the Aristotelian science and posits that his purpose is thus to “establish progressive stages of certainty. The evidence of the sense, helped and guarded by a certain process of correction, I retain. But the mental operation which follows the act of sense I for the most part reject; and instead of it I open and lay out a new and certain path for the mind to proceed in, starting directly from the simple sensuous perception.”[16]
2.2.1 Bacon against Deduction: With the above assertions by Bacon, he establishes a new method, a new approach of studying nature or science and this new method he referred to as induction.[17] He maintains that his method is very imperative because he wanted the “entire work of the understanding be commenced afresh and the mind itself be from the very outset not left to take its course, but guided at every step; and the business be done as if by machinery.”[18]
However, that Bacon follows not the path of the ancient and their method does not in any way deprive them (the ancients) their honour and fame for he expresses: “the ancient authors, and all others, are left in undisputed possession of their honours. For we enter into no comparison of capacity or talent but of method: and assume the part of a guide rather than of a critic.”[19] He therefore posits that he would follow different route from them. As Bacon tilt away from the Aristotelian Syllogism, he maintains that a way forward over deduction is induction.
Bacon asserts that the use of deduction or syllogism has only helped in fixing and giving stability to the errors which have their foundation in commonly received notions than to help the search after truth.[20] For as they have been successful in inquiry, so they have been effective in halting inquiry; and have done more harm by spoiling and preventing other men's efforts.[21] However, Bacon accepted the main outline of Aristotle’s inductive-deductive theory of scientific procedure which viewed science as a progression from observations to general principles and back to observations.[22]
2.2.2 Baconian Induction: It was necessary for Bacon to introduce another method because it would be madness and inconsistency to suppose that things, which have never yet been performed, can be performed without employing some entire means.[23] Induction method, for him is appropriate and has only two ways of searching into and discovering truth. One starts from the senses and particulars to general axioms, while the other, from the same senses and particulars searches the truth and proceeds to judgment and to the discovery of middle axioms.[24]
Both ways set out from the senses and particulars and rest in the highest generalities; but the difference between them is important. The first way, makes a hasty judgment and does not dwell so much on the enquiry. The second however, moves continually and gradually, taking note of each stage till it finally arrives at the most general axioms, which is the true but unattempted way. [25]It is unattempted because human mind naturally tends to understand through general to particulars. This is to avoid labour and distress. Otherwise, it will get fatigued. This labour is therefore avoided by the use of deductive method.
Science gets its knowledge by the verification of few particulars of most general occurrence. What renders science active is that axioms or law duly formed from particulars easily leads to new particulars.[26] Bacon maintains that the subtlety of nature is greater than the subtlety of argument, for whatever argument formed in investigation into nature is limited which is why it gives room for another and science continues to excel.
2.3. Descartes Deductive Method and Empirical Emphasis
Descartes like his contemporary Bacon, believed that the highest achievement of science is a pyramid of proposition, with the most general principles at the apex[27]. But while Bacon sought to discover general principles by progressive inductive ascent from less general relation[28], Descartes sought to begin at the apex and work as far as possible by a deductive procedure. Thus for Descartes, the ideal of science is a deductive hierarchy of propositions, following the Archimedeans[29]. For him, the deductive method of reasoning did not replace the inductive method, but added to the tools of the scientists of that era and proved useful on many occasions.
More so, Descartes restricted the subject matter of science to those qualities that maybe expressed in mathematical form and compared as ratios. Thus Descartes vision of science combined the Archimedean, the Pythagoreans and the atomist point of view[30].
Summarily, Descartes deductive method required:
·         Accepting as truth only clear and distinct ideas that could not be doubted
·         Breaking a problem down into parts
·         Deducing one conclusion from another
·         Conducting a systematic synthesis of all things.
 2.3.1   Empirical Emphasis in Descartes Philosophy of Science: Descartes proposes that intuitive self-evident principles are of limited usefulness in science, as it can only yield general laws. More so, Descartes opined that the course of physical processes cannot be determined by mere consideration of general laws; rather he proposed that in order to deduce a statement about a particular effect, it is necessary to know the circumstances under which the effect occurred. Thus one important role of experiment and observation in Descartes theory of scientific method is to provide knowledge of the conditions under which events of a given type take place[31].
Lastly, Descartes posits that suggesting hypothesis which specifies mechanisms that are consistent with the fundamental laws is a second important role of experiment and observation. For Descartes, a hypothesis is justified by its ability, in conjunction with the fundamental laws, to explain phenomena[32]. Also, a hypothesis must be consistent with the fundamental laws but its specific content is to be adjusted to permit deduction of statements about the phenomena in question[33].
2.4 Newton’s Scientific Methodology
Newton’s methodology came about as a result of Cartesian theory of abstraction that physical laws can be derived from Metaphysical principle. Newton however opposed this method of theorizing about nature. Further still, he upheld Aristotle’s theory of scientific procedure. He referred to this Aristotelian inductive-deductive procedure as the “Method of Analysis and Synthesis.”[34] He insisted that scientific procedure should include both an inductive stage and a deductive stage. To further support his claim, he asserts that inductive-deductive procedure is superior to that of his predecessors in two respects; by the use of experimental confirmation and deduction through inductive evidence.
2.4.1 Axiomatic Method: There are three stages in Newton’s axiomatic method. The first stage is the formulation of an axiom system. Axioms are propositions that cannot be deduced from other propositions within the system; e.g. everybody continues in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it. Through these axioms, theorems are deductively formed.
            The second stage of the axiomatic method is to specify a procedure for correlating theorems of the axiom system with observations. Newton usually required that axiom systems be linked to events in the physical world.
The third stage of Newton’s axiomatic method is the confirmation of the deductive consequences of the empirically interpreted axiom system. Agreement should be established between the theorems of the axiom system and the observed motions of bodies. The axiom system  is relevant to science only if it can be linked to what can be observed. So, confirmation of the theorems with practical    and observable experiments is pertinent.
3.0       IMPLICATION AND CRITIQUES OF SCIENTIFIC THEORIES
Scientific theories have implications and the findings and opinions of philosophers about scientific knowledge enlightens us on how inquiries progress. It is without doubt that induction as a scientific method gained weight among modern scientists. Various philosophers have raised concerns with accepting induction as a valid organum (tool) for attaining scientific knowledge.
3.1 John Locke: Locke is of the opinion that science is concerned with the study and knowledge of nature. Correspondently, he posits that science view nature in a more sophisticated way because science consists of collection of generalizations about the succession of phenomena. For him, science renders judgment on the opinion of a phenomena rather than having knowledge on that phenomena. This is because these generalizations are probable at best and do satisfy the rational idea of necessary truth. Thus scientific findings are mere judgments and opinion not knowledge and certainty.[35] 
3.2 Hume: As a sceptic, Hume is of the opinion that the possibility of gaining knowledge of necessary connectedness among phenomena is very narrow. Accordingly, he reports his position with the aid of three premises:
a. All knowledge of matter of fact is given and arises from the sense impression,
b. All knowledge is subdivided into the mutably exclusive categories, relation of    ideas and matter of fact and
c. A necessary knowledge of nature will presuppose a necessary connectedness of event.[36]

Until these conditions are met, Hume insists that knowledge of nature cannot be attained. From this, he concludes that no scientific knowledge can be certain even mathematics. Albert Einstein later rephrased Hume’s insight as follows: “as far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.”[37] Hume clearly critiques the very foundation of induction itself, which for him lies on the basic assumption that “from causes which appear similar we [should] expect similar effects.”[38]
3.3 Kant: In answer to Hume’s position, Kant is of the opinion that scientific knowledge is not solely dependent on empirical experience. This is because empirical knowledge is gained via impression but not in all cases. To prove this, Kant makes a distinction between matter and form of cognitive experience. Accordingly, he posited that the impression of the senses is the matter of empirical knowledge and the knowing subject in the mind is responsible for organizing the matter, which is the form. Having debunked the view of Hume, Kant further presents an exposition of the principles of scientific laws. For him there are three principles for formulating scientific laws;
1.                  Principle of Permanence of substance: this specifies that a substance is conserved throughout all change.
2.                  Principle of Causality: this holds that for every event, there is an antecedent circumstance from which the event follow according to the rule
3.                  Principle of Community: this hold that substance are coexistent in space and as such are in interaction with one another
CONCLUSION
            Thus far, we have tried to look at modern philosophers of science starting with a brief exposition of Aristotle’s scientific method that emphasizes deductive method, we then considered the implication of scientific theories as stated by different philosophers of science like Galileo with inductive-deductive method with no emphasis on confirmation, Bacon’s inductive method, Descartes’ deductive method and empirical emphasis, and Newton’s support of inductive-deductive method which he called analysis-synthesis method. We also considered the implications of the methods through the critiques of a few philosophers on those methods. Thus, from the foregoing, it can be deduced that modern philosophers of science favoured inductive-deductive method with experimental confirmations. Their major emphasis was the method of observation through empirical demonstration to avoid errors of superficial appearances of things and they formed temporary hypothesis through these observations.



[1] Anthony O’Hear, An Introduction to Philosophy of Science (Oxford: Clarendon Press, 1989), p. 1.
[2] Cf. Gary Hatfield, “Scientific Method” Routledge Encyclopedia of Philosophy, Version 1.0, (London and New York: Routledge, 1998), p. 399. 
[3] Cf. John Losee, Historical Introduction to Philosophy of Science (New York: Oxford University Press Inc., 2001),  p 5.

[4] Cf. Aristotle’s Prior and Posterior Analytics, ed. W. D. Ross. (London: Oxford University Press, 1949), p. 51.
[5] Cf. Aristotle, Posterior Analytics, Bk. I, 71a, 20-25.
[6] Cf. John Loose, op.cit., p. 46.
[7] S. E. Stumpf, Philosophy: History and Problems, 5th ed. (New York: McGraw-Hill Book Co. 1994), p. 218.
[8] John Loose, op.cit., p. 47.
[9] Cf. John Loose, op.cit., p. 49.
[10] Cf. Ibid, p. 50.
[11] Drake Stillman, Discoveries and Opinions of Galileo (New York: Doubleday publications, 1957), p. 237.
[12] Ibid, p. 51.
[13] William Whewell, Novum organon renovatum (London: John W. Parker and Son, West Strand, 1858), pp. 1 – 2.
[14] Francis Bacon, Novum Organon (London: William Pickering, 1844), preface, p. 1, Hereafter Preface.
[15] Ibid
[16] Ibid
[17] Francis Bacon, Novum Organon (London: William Pickering, 1844), Book 1, no 14. Hereafter, Bacon.
[18] Francis Bacon, Novum Organon , Preface, p. 2.
[19] Bacon, Book 1, no 32.
[20] Ibid, no 12.
[21] Francis Bacon, Novum Organon (London: William Pickering, 1844), preface, p. 1, Hereafter Preface.  P.1.
22Bacon, Book 1, nos. 13 – 14.
23 Bacon, Book 1, no 6.
.
24 Ibid, no 19
25 Ibid, nos 19 – 22.
26Ibid, no 24.

[27] John Loose, p.64.
[28] Ibid.
[29] Ibid., p. 65.
[30] Ibid.
[31] Ibid., p.66.
[32] Ibid., p.67.
[33] Ibid.
[34] John Losee, p. 73.
[35] John Losee, p.88.
[36] Ibid., p. 92.
[37] Ibid., p. 93.

[38] David Hume, An Enquiry Concerning Human Understanding, Section II, Part II..

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