MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C7070B.E7858370" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C7070B.E7858370 Content-Location: file:///C:/0AC7B2F9/popper_falsifiability.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Falsifiability

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HND So= cial Science

 

D81P 35: Social Science: Research Issues=

 

Karl Popper and Falsification

 

=

Falsifiability

Some philosophers and scientists, most notably= Karl Po= pper, have asserted that no empirical hypothe= sis, proposi= tion, or theory<= /span> can be considered scientific if it does not admit the possibility of a cont= rary case.

Falsifiable does not mean false. For a proposition to be falsifiable, it must be possible, at least in principle, = to make an observa= tion that would show the proposition to fall short of being a tautology, even if that observation is not actually made. The logical precondition of being ab= le to observe something of a given description is that something of that description exists.

For example, the proposition "all swans are white" would be falsified by observing a black swan, which would in turn depend on there be= ing a black swan somewhere in existence. A falsifiable proposition or theory mu= st define in some way what is, or will be, forbidden by that proposition or theory. For example, in this case the existence of a black swan is forbidde= n by the proposition in question. The possibility in principle of observing a bl= ack swan as a counterexample to the general proposition is sufficient to qualify the proposition as falsifiable.

The property of being falsifiable is a logical property. Thus, for example, to show that a physical law is falsifiable, one is not required to show that it is physically possible to violate it — that would defeat= its status as a physical law — one need only show that an exception to the law is logically possible. Moreover, the logical property of falsifiability= , as a criterion of empirical propositions, has nothing to do with the practical, psychological, or rhetorical task of convincing an individual person that a proposition may have counterexamples. Scientific propositions have nothing = to do with those sorts of individual idiosyncrasies.

 

Finally, falsifiability is a necessary property of empirical statements — it is not a sufficient property. This means that it takes more properties for a proposition to qualify as being empirically meaningful. Strings of words may fail to form any proposition at all, and even when they do, they may fail to rise to level of a proposition that can participate in= a scientific theory.

Naïve falsification

In work beginning in the 1930s, Karl Po= pper gave falsifiability a renewed emphasis as a criterion of empirical statemen= ts in science. Popper noticed that two types of statements are of particular v= alue to <= span style=3D'color:windowtext;text-decoration:none;text-underline:none'>scienti= sts. The first are statements of observations, such as 'this is a white swan'. Logicians call these statements singular existential statements, since they assert the existence of some particular thing. They can be parsed in t= he form: There is an x which is a = swan, and x is white.

The second type of statement of interest to scientists categorizes all instances of something, for example 'all swans are white'. Logicians = call these statements universal. They are usually parsed in = the form: For all x, if x is a swan= , then x is white.=

Scientific laws are commonly supposed to be= of the second type. Perhaps the most difficult question in the methodo= logy of science is: How does one move from observations to laws? How = can one validly infer a universal statement from any number of existential statements?

Inductivist methodol= ogy supposed that one can somehow move from a series of singular existential statements to a universal statement. That is, that one can move from 'this is a white swan', 'that is a white s= wan', and so on, to a universal statement such as 'all swans are white'. This method is clearly deductively invalid, since it is always possible that th= ere may be a non-white swan that has somehow avoided observation. Yet some philosophers of science claim that science is based on such an inductive method.

Swans

Popper held that science could not be grounded= on such an invalid inference. He proposed falsification as a solution to the problem of induction. Popper noticed that although a singular existential statement such as 'there is a white swan' cannot be= used to affirm a universal statement, it can be used to show that one is false: = the singular existential observation of a black swan serves to show that the universal statement 'all swans are white' is false - in logic this is calle= d modus t= ollens. 'There is a black swan' implies 'there is a non-white swan' which in turn implies 'there is something which is a swan and which is not white', hence = 'all swans are white' is false, because that is the same as 'there is nothing which is a swan and which is not white'.

 

One notices a white swan. From this one can co= nclude:

At least one swan is white.

 

From this, one may wish to infer t= hat:

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        &= nbsp;           &nbs= p;    3D"A

A white = mute sw= an, common to = Eurasia= and North A= merica

All swans are white.

It may be impossible to observe all the swans = in the world to verify that they are all white.

Even so, the statement all swans are white<= /i> is testable by being falsifiable. For, if in testing many swans, the resear= cher finds a single black swan, then the statement all swans= are white would not be true; it would be falsified by the counterexample of= the single black swan

. 3D"Two

Two black s= wans, native to Austral= ia

Modus to= llens

The falsification of statements occurs through= modus t= ollens, via some observation. Suppose some universal statement U implies an observation O:

3D"U

An observation conflicting with O, however, is made:

3D"\neg

So by modus tollens,

3D"\neg

Although the logic of naïve falsification= is valid, it is rather limited. Nearly any statement can be made to fit the da= ta, so long as one makes the requisite 'compensatory adjustments'. Popper drew attention to these limitations in The Logic of Scientific Discovery= , in response to anticipated criticism from <= span style=3D'color:windowtext;text-decoration:none;text-underline:none'>Duhem and Carnap<= /span>. W. V. Quine expounded this argument in detail, calling it confirmation holism. In order to logically falsify a universal, one must find a true falsif= ying singular statement. But Popper pointed out that it is always possible to change the universal state= ment or the existential statement so that falsification does not occur. On heari= ng that a black swan has been observed in Australia, one might introduce the ad hoc<= /span> hypothesis, 'all swans are white except those found in Australia'; or one m= ight adopt another, more cynical view about some observers, 'the bird wa= tchers are incompetent'. Naïve falsification does not enable scientists to present a definitive falsification of universal statements.

Falsificationism

Naïve falsification considers scientific statements individually. But scientific theories are formed from groups of these sorts of statements, and it is these groups that must be accepted or rejected by scientists. Scientific theories can always = be defended by the addition of ad hoc hypothesis. As Popper put it, a decision is required on th= e part of the scientist to accept or reject the statements that go to make up a th= eory or that might falsify it. At some point, the weight of the ad hoc hypotheses and disregarded falsifying observations will become so great that it becomes unreasonable to support the base theory any longer, and a decision will be = made to reject it.

In place of naïve falsification, Popper envisioned science as evolving by the successive rejection of falsified theories, rather than falsified statements. Falsified theories are to be replaced by theories which can account for the phenomena which falsified the prior theory, that is, with greater explanato= ry power. Thus, Aristot= elian mechanics explained observations of objects in everyday situatio= ns, but was falsified by Galileo’s experiments, and was itself replaced by Newtonian mechanics which accounted for the phenomena noted by Galileo (and others). Newtonian mechanics' reach included the observed motion of the planets and the mechanics of gases. Or at least most= of them; the size of the precession of the orbit of Mercury wasn't predicted by Newtonian mechanics, but was by Einstein's general relativity. The Youngian wave theor= y of light (i.e., waves carried by the luminiferous aether) replaced Newton's (and many of the Classical Greeks') particles of light but in its turn was falsi= fied by the Michelson-Morley experiment, whose res= ults were eventually understood as incompatible with an ether and was superseded= by Maxwell's electrodynamics and Einstein's special relativity, which did account for t= he new phenomena. At each stage, experimental observation made a theory untena= ble (i.e., falsified it) and a new theory was found which had greater 'explanatory power' (i.e., could account for the previously unexplained phenomena), and as a result, prov= ided greater opportunity for its own falsification.

Naïve falsificationism is an unsuccessful attempt to prescribe a rationally unavoidable method for science. Sophistic= ated methodological falsification, on the other hand, is a prescription of a way= in which scientists ought to behave as a matter of choice. The object of this = is to arrive at an evolutionary process whereby theories become less bad.

In logic, Modus tollens (Latin for "mode that denies") is the formal name for indirect proof<= /b> or proof by contrapositive (contrapositive inference), o= ften abbreviated to MT.

Modus tollens has the following argument form:

If P, then Q.

Q is false.

Therefore, P is false.

 

<= /a>Explanation

The argument has two premises. The first premi= se is the conditional "if-then" statement, namely that P implies Q. = The second premise is that Q is false. From these two premises, it can be logic= ally concluded that P must be false. (Why? If P were true, then Q would be true,= by premise 1, but it isn't, by premise 2.)

Consider an example:

If there is fire here, then there is oxygen here.

There is no oxygen here.

Therefore, there is no fire here.

Another example:

If Lizzy was the murderer, then she owns an axe.

Lizzy does not own an axe.

Therefore, Lizzy was not the murderer.

Just suppose that the premises are both true. = If Lizzy was the murderer, then she really must have owned an axe; and it is a fact that Lizzy does not own an axe. What follows? That she was not the murderer. If an argument is valid, and if the premises are true, the conclu= sion must follow.

If a modus tollens argument has true premises, then it is sound. <= /o:p>

The argument is unsound

Therefore, it's not a modus tollens argument which has true premises. <= o:p>

(Of course this particular argument applied to itself would be a paradox)

Modus tollens became somewhat legendary when it was used by Karl Popper in his proposed response to the problem of induction.<= /p>

 

 

Groupwork :  In small groups answer the qu= estions on Popper below:

Q1.  Expla= in Poppers theory of Falsifiability

__________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= __

Q2. How did Popper envision scient= ific theory would develop?

__________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= _____________________________

Q3.  On what basis did Popper reject inductivist methodology?

__________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= _____________________________

Q4.  Expla= in Modus tollens.

__________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________________________________________________= ___________________________________

 

 

 

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Research Issue= s  Popper

Rab Wilson  2006        =             &nb= sp;       =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            =            = 1

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