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Philosophy and Nature of Science

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    Philosophy and Nature of

    SciencePart 1. Philosophy

    Part 2. Philosophers

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    Part 1.

    Observation,

    Hypothesis,

    induction,Falsification,

    Theory

    Explanation

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    Science divides into Methods and

    Applications Method - Procedures for acquiring

    knowledge Application - Use and purpose of

    discoveries

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    Questions asked in the

    philosophy of science Is science based on faith? What is the scientific method? How are new discoveries treated? Is everything reducible to physics and

    mathematics? Is everything reducible to a few rules?

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    Ideal Scientific Method

    Observation Repetition

    Induction(1)Hypothesis

    Deduction or generalizationConsequence or prediction

    Testing Induction(2) Induction (1) not successful

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    Critique of the Ideal scientific

    Method Whats observed and studied depends on the currently acceptedexplanation

    Explanation selects the observationExplanation Influenced by:

    Brain hardwareGestalt formationOptical illusions

    Brain Software

    Education

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    Induction

    inductionObservation -----------------> Hypothesis

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    Induction Induction goes from effect to cause. Effect can possibly have many causes.

    A cause may have a single effect. Hypothesis is a kind of cause

    cause effect

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    Critique of Induction

    There is no logical way of going fromobservation to hypothesis

    Hypothesis is a simple guess

    Frequently hypothesis precedes observation

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    Maybe Hypotheses should be considered only

    as Statements of Probability The universe is a series of stochastic events with

    ill-defined boundaries

    An hypothesis is neither true nor false. It is astatement of probability for success or failure.

    Replace All swans are white

    withWhat is the probability of finding a green orblack or blue swan?

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    Genealogy of Certainty

    Hypothesis --> Theory --> Fact

    INCREASING CERTAINTY

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    Are These:

    Explanations, Hypotheses,Theories, or Facts? 2nd Law of Thermodynamics Newtons Law of Universal Gravitation Gas Law Ohms Law Electromagnetic Theory Kinetic Gas Theory Atomic Theory Theory of Relativity String Theory

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    Hypothesis, Theory, Fact

    Hypothesis are Guesses not logicallyderivable from deduction or Induction

    Theories are statement of Probability

    Facts do not exist- nothing is 100% certain

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    Verification & Falsification

    What is meant by explanation?

    What is a fact?

    When is a

    Fact verified?

    How many observations needed?

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    Form Hypothesis

    I put a balloon in my refrigerator and funny thingshappened . I really need an explanation.

    First the balloon shriveled up.

    Next, the balloon changed color from red to blue.

    Finally the balloon said, Get me out of here. Its too cold!

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    Deduction and Induction

    induction Observation ------------> Hypothesis

    deduction Hypothesis ------------> Observation

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    Deduction

    If there is no cogent way of going fromobservation to hypothesis

    Then there is no cogent way of deducingfrom hypothesis to observation

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    Critique of deduction

    Is Deduction outside of mathematics possible?If this X, then that Y

    Are parameters really known? Is X truly an X Is the equipment properly controlled? Can one recognize an X or a Y ?

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    Critique of Deduction

    Modern Science does not seek causes butseeks relationship among variables

    Independent variables are not causes anddependent variables are not effects

    If one knows Y =g(x), can one predict(deduce) the future?

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    Critique of Hypothetico-

    Deductive Method Y = g(X) implies X is selectable and Y is

    determinable

    We know X and Y only within someprecision range: x1, x2, x3,y1,y2,y3,..

    Within the area defined by the range of Xand the range of Y there is no Y=g(X)

    All equations are statement of probability

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    Verification and Falsification

    Replace Verification with Falsification Verification and falsification are asymmetrical

    Multiple verification does not establish a theorymore than a single verification

    A single falsification overturns a theory

    It takes only one green swan overturns the theory that all swansare white. Observing one million white swans does no more to prove allswans are white than witnessing ten white

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    Falsification

    It is nearly impossible to falsify an hypothesis. Since a test depends on many factors it is difficult

    to determine whether the hypothesis failed are oneof the other factors failed.

    Some failures of dependent factors:

    precision and accuracy of instrumentation, correctinterpretation of data, flawless recording of data,improper experimental conditions

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    What is an Explanation?

    Hypothesis is not always an explanation Explanations reference non-observables

    Science explains objective reality in termsof a non-objective, non-observable reality

    Among non-observable objects are

    electrons, quarks, photons, gluons,gravitons, positrons, black holes, dark matter, dark energy

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    Explanation

    Explanation is to ask a quantifiable question

    Explanation is not to ask a why question

    Explanation is a sequence of events.

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    Limits of Explanation

    The ultimate building blocks of the universe donot interact with our instruments at all or elseinteract too strongly so that physical nature alters.

    It is possible we are at the end of traditionalempiricism where observations suggest for or elsetest for hypothesis.

    String theory perhaps is an harbinger of Post-scientism wherein hypothesis andobservation formally separate

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    Theory Have Limits of

    Application Ptolemaic Astronomy replaced by Copernican Astronomy replaced by Newtonian Astronomy replaced by Einsteinium Astronomy replaced by

    Quantum Gravity Theory

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    Gloss

    A Law is an late 18th and early19th century was of saying theory:LAW = THEORY

    Theory gives a mathematical relationship between observable

    dependent and observable independent variables .The distinction between independent and dependent variable is arbitrary.

    Hypothesis gives a mathematical relationship between non-observableand observable variables

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    Overall Criteria for Theories

    Consistent Parsimonious

    Correlative Empirically Testable ( verifiable& falsifiable) Useful

    Progressive Retrogressive

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    Criteria for Theory

    Logical Empirical Sociological Historical

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    Logical Criterion

    Clear and explicit boundary conditions

    Falsifiable ( imagine conditions theory is invalid)

    Every theory had limits of applicability( falsifiable means not disproving a theory but ratherdetermining limits of use)

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    Empirical Criterion

    Provides guidelines to interpret data

    Verifiable prediction and retrodiction ( pastevents )

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    Sociological Criterion

    Resolves anomalies of current theories

    Defines new concepts of operations to solveproblems

    Propose new paradigm or problems(a paradigm is a model, a world in miniature

    mathematically)

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    Historical Criterion

    Consistence or coherent with pre-existingtheories of established validity

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    Part 2

    David Hume Karl Popper Thomas Kuhn Imre Lakatos

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    David Hume(1711-1776)

    Scottish Empiricist- All we know is throughexperience

    Hume argued we are not justified in makinggeneralizations from observations because ourobservation are finite in number

    To know something we need to experience it.Obviously we cannot have experience of thefuture so we cannot know it.

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    Causation

    Hume attacked reasoning from cause to effect Two colliding billiard balls are not predictable. No

    logical connection between first ball, causing second ballto roll. We know this only by experience.

    We cannot use reason to make predictions (future).Experience cannot tell us about the world (future) eitherbecause we experience only the past.

    We believe Sun will rise tomorrow based on experiencenot reason.

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    Newtons Laws

    Does Newtons Three laws of dynamics predictthe future of colliding billiard balls?

    Newtons laws cannot predict trajectory of realbilliard balls due to unknown boundaryconditions, and to first order nature of the Laws.

    If Newtons Laws were exact and boundary

    conditions known, then past and present arecontemporaneous

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    Thomas Kuhn (1922-1996)

    All research presupposes a world-view,a collection of fundamental objects, natural laws, definitions, andabove all a definition of what research is.

    Kuhn called a world-view, paradigms

    Mature science have established paradigms Example of mature sciences are chemistry, physics,

    geology; whereas, economics and psychology are

    immature sciences.

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    Model or Paradigm

    Intellectual excision (setting boundary conditions)from the universe or sub-set of universe, entitiesarbitrary in design but relevant to problem understudy

    Assembly of entities into a simplified representationof the universe or subset of universe

    Determining probability of events with set of variables spanning selected ranges

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    Paradigm Thomas Kuhn popularized the term in his book The Structure

    of Scientific Revolutions (1996) by using it to describe howscience works. According to Kuhn, scientific explanations of the world are controlled by a paradigm, some model of howthe world is expected to work and into which actualobservations are fitted, even if the fit is not very exact. Asinexact fits accumulate, it becomes more apparent that thedominant paradigm is inadequate as a model of reality. Whenenough contradictions exist, a paradigm revolution occurs anda new paradigm is adopted.

    The word paradigm comes from the Greek paradeiknunai andmeans "to compare." In science and philosophy it has thesame basic meaning as in common usage: a model orinstance used as a basis or example for further work.

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    Need for Paradigms

    Research requires paradigms Paradigms are models of the way the world works

    Without paradigms research is a random collectionof observations lacking unification of structureinto a whole.

    Without paradigms, it is not possible to decidewhich are and which are not importantobservations

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    Dominant Paradigms

    As a field matures, one paradigm becomesthe dominant one. Once paradigms isestablished research progresses quickly

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    Paradigm guides direction of Research

    It becomes clear with aid of paradigmwhich research areas are fruitful. These

    areas are ones not totally explained

    Paradigms give concepts and laws to build

    on.

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    Paradigm Shift

    Paradigm shift occurs when old paradigmshown inadequate

    What is defined as research is reevaluatedConcepts turn upside down

    Earlier research is reinterpreted

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    Real research

    Real research occurs during a paradigmshift

    Once a paradigm dominates, researchbecomes puzzle solving

    Puzzle solving is not research since answers

    known beforehand

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    Example of Puzzle Solving

    After Newton explained solar system, laterscientists using Newtons theory predicted

    The presence of the then unknown planetsNeptune, Uranus, and Pluto

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    What New Paradigms Do

    Discovery of new paradigm results in newquestions being asked and old questions

    abandoned Newton saw gravitation as a property of

    matter. Earlier theories tried to find a

    mechanical explanation as whirlpools inspace or angels.

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    Paradigms are Incommensurable

    Paradigms have different world view. It isdifficult to compare them

    Consequently, science defines truth relativeto a paradigm and not absolutely. Truth is a

    story

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    Science

    Science is a conformist society which present onlythe currently accepted theoryConsequently science defines reality relative to theaccepted paradigm

    Students are educated into the accepted paradigmand to ignore alternative paradigms

    The society of science determines what scientistsobserve

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    Paradigm Diagram

    old paradigm unexplained observations competing newparadigms

    one dominant paradigmpuzzle solving

    i n c o m m e n s u r a t e

    unsolved puzzles ignored

    Mopping up operation

    unexplained observations andalternative interpretation ignoreduntil enough accumulates to overturncurrent paradigm

    unexplained observations

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    Sir Karl Popper (1902-1994)

    Falsification is the idea that science advances by unjustified,exaggerated guesses followed by unstinting criticism.

    Any "positive support" for theories is both unobtainable andsuperfluous; all we can and need do is create theories andeliminate error

    Scientists never actually use induction. It is impossible toverify propositions by reference to experience

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    Karl Popper

    All observations are selective and theory laden A demarcation between science and pseudo-

    science is established by falsification. A theory isscientific only if it is refutable by a conceivableevent

    Every genuine test of a scientific theory is basedon an asymmetry between verification andfalsification

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    Karl Popper

    Popper replaces induction with falsification Science is not distinguished from non-

    science on basis of methodology. Nounique methodology specific to science

    Science consists mostly of problem solving.

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    Imre Lakatos (1922 - 1974) `

    All scientific theories are equally unprovable

    Falsification doesnt work due to rescuehypotheses

    the "basic unit" of scientific development is not

    the scientific theory, such that scienceprogresses when one theory proves to bemore successful than another .

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    Imre Lakatos

    the "basic unit" is actually the researchprogram . Science progresses when oneresearch program becomes more productive

    and more useful than other and, hence,receives a greater share of social resourcesthrough funding and younger scientists lookingto join. A research program is characterized bya particular set of "hard core" fundamental

    ideas and is deemed successful so long as itcontents continue to increase .

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    Imre Lakatos

    In reality scientists do not abandon theories. They inventrescue hypotheses or ignore anomalies or refutations

    Popperian crucial experiments and Kuhnian revolutionsturn out to be myths. What happens is progressive

    research replaces degenerating ones .

    Progressive scientific programs predict and producedramatic, unexpected observations and results

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